diff --git "a/data/dm_maths/full_data_1/11189_11255.jsonl" "b/data/dm_maths/full_data_1/11189_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11189_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -1844.04965 rounded to 1 dp?\nAnswer: -1844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14c46 + b?\nAnswer: 14c54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*c + 13. Is 4\/10 - (c + 78\/(-5)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -3. Let p(c) = 77*c**2 - c - 1. Let v be p(-1). Calculate the highest common factor of f and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611941372 to the power of 1\/2, to the nearest integer?\nAnswer: 24737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -45 + -32?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u**2 + 0*u)*(-392739 - 372814 + 737875)*(u**2 - u**2 + 2*u**2).\nAnswer: -55356*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63138.27148 - -63443.28. Let s = b + -305. Let h = -0.0137 + s. What is h rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14 - 13 - (1 - (-6)\/(-18)*3). Suppose -3*n + 4*h + 14 = 0, n - 2*h = -3*h. Suppose m + 3*m - n*p = 20, -m + 5 = -p. Solve 4 + i = -m*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 93*v - 98*v, 3*v + 7663 = 5*g. List the prime factors of g.\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b - -23?\nAnswer: 3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4*z + 3 + 11 = 0, u + 14 = -3*z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0949873757 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4595 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1509\/2 + 48239\/64. Find the common denominator of y and -51\/320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 30 = 10*t. What are the prime factors of 3 - (0\/t + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 527934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143*-3.\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*y - x - 16, -4*x = 5*y + 26 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 74? (a) 0.2 (b) 3 (c) 34\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 173821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 350.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k**2 - k. Let g be v(1). Let c = g + 10. Suppose 3 = s - 2*s, -4*f = 3*s + 9. Solve f = c*r + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*q. Suppose q*z - 5*z = -322035. Suppose -24407 = -2*i - z. Round i to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 175*k - 27. Let a(d) = 88*d - 12. What is 7*a(s) - 3*g(s)?\nAnswer: 91*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 6, 11 = 19*x - 24*x + 3*t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - t + 6. Let g be 4 - (-1 - 3*(-1)\/1). Let s be (-2 - -2)*(g - (1 - -2)). Determine m(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*x + 12 + 5*x**4 + 11*x**2 - 6 - 6 + 86*x to the form b*x + a*x**2 + m*x**4 + r + u*x**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 58191808730 less than -9?\nAnswer: -58191808739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 193574.493 hours in weeks?\nAnswer: 1152.229125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 1:12 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/((m*(m\/((m*(m\/(m**(1\/7)*m))\/m)\/m))\/m)\/m)*m))\/m**(-5))\/(m*m**(-5)*m\/(m\/m**(-2)*m)) assuming m is positive.\nAnswer: m**(85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 415727 and 566?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**5\/3 + y**4\/12 - 7*y**3\/3 - 59*y**2. What is the tens digit of x(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 2:36 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-171 - -165)\/((-2)\/2567)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101.4095 - -100.9. Let z = u + 0.5. What is z rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p. Let g(n) = n**3 - 5*n**2 + 6*n - 6. Let x be g(4). Let m(o) = 3*o**2 - 4*o**2 + x*o**2. Determine d(m(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9443.537 weeks?\nAnswer: 5711451177600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*(sqrt(130)\/(sqrt(50)\/sqrt(5)) + (sqrt(13) - (sqrt(416)\/sqrt(8) + sqrt(52)))))**2.\nAnswer: 8*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*b - 4 = -3*b, 2*u = -2*b. Let o be 0\/(3*(-4)\/(-6)). Let z = -0.27 + -0.03. Sort o, z, u.\nAnswer: u, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 364*m - 10928. What is a(30)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1597102?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 199642626 and 4770.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25441\/180 + -1298\/9. Calculate the common denominator of k and -11\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*w = 5*k + 93*w - 56, 2*k = -5*w + 29 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 150\/(-9) + 4\/6. Let f = i + 17. Is f less than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -223860+2937948639\nAnswer: 2937724779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5.620687 millimeters?\nAnswer: 5620687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**2 - 2*r + 1. What is x(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -5, 225.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = p + 1140167, 33*l + 950130 = 38*l + p. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-6 + 17)) + 5 - -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 49 + 21 = 0. Let b = 14 + n. Let d = -497\/72 + 53\/8. Are d and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103300 (base 4) to base 6.\nAnswer: -5504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7865*x**2 + 1141*x**3 - 7758*x**2 - 1225*x**3 to j*x + k*x**2 + y*x**3 + m and give k.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15592088 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 270377 and -92?\nAnswer: 270469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44577.\nAnswer: 3, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-5791*k + 46 - 5360*k + 48 + 46 - 140).\nAnswer: -22302*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169191083.\nAnswer: 71, 33563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*n - 274074 = -51*n - 3*s, 0 = -3*n + 5*s + 274114. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5784\/7278)\/2*18\/1028. Let l = 1\/1213 + c. Is l > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 29*t**2 + 79*t - 39. Give k(26).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 135\/20 + (9\/(-12) - -1). Let w be (756\/20)\/c - 5. Let j be (-1)\/(1\/(-3)) + -4. Which is smaller: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-9)*k)*k)\/k**(-6)*k**(19\/3)\/k*k**(1\/26)\/k)**(-32) assuming k is positive.\nAnswer: k**(-24176\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 61154110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 5*x - 13, 0*z - 2*x = z + 7. Suppose -z*c + 4 = -2. Solve 0 = -3*f + c*f + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -523*i**2 - 550*i - 26. Give b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -283270 divided by 13\nAnswer: -21790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9768220 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2. Let u(s) = 194*s**2. What is u(z(h))?\nAnswer: 194*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3622 and -28.204.\nAnswer: 102154.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16920879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o + 7. Let i(z) = 8*z + 8. Let v = 17 + -3. Let r be (v\/6)\/((-11)\/(-33)). Give r*s(x) - 6*i(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 3*q**8\/56 - 47*q**7\/21 + 22*q**4\/3 + 287*q. What is the third derivative of v(j) wrt j?\nAnswer: 360*j**3 - 5640*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w + 2. Let m(j) = -1433*j - 1071. Let c(i) = m(i) - 5*u(i). What is the derivative of c(f) wrt f?\nAnswer: -1418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfq when three letters picked without replacement from {m: 4, t: 2, q: 3, f: 8}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**3 + 87470*c**2 + 262455*c = 0.\nAnswer: -3, 0, 17497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -8006*m**2 - 8*m. Let o(a) = 3*a. What is k(o(s))?\nAnswer: -72054*s**2 - 24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a + 9. Let s(q) = 4*q - 10. What is 6*b(t) + 4*s(t)?\nAnswer: -2*t + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51996 and 193128?\nAnswer: 1351896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, i: 3, e: 3}. What is prob of picking 1 i and 1 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (536206116\/27 - -5) + (-2)\/(-9). Suppose 4*s - c + 68659491 = 0. What is s rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/8)*o**(-1))\/(((o*o**(-1\/3)*o)\/o)\/o)**3 assuming o is positive.\nAnswer: o**(-3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -11471388\nAnswer: 45885552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 182695649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*v + 45468, -45*d + 4*v - 27246 = -48*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 10. Let o(t) be the first derivative of 2 + t - 1\/2*t**s. Find the first derivative of o(k) wrt k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -1.9109 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -1, -1\/16, -43819 in descending order.\nAnswer: -1\/16, -1, -33, -43819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 8:28 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*((-2 - -3) + 3). Let g = -329 - -338. What is the highest common factor of v and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-345)\/(-46)*(2\/(-21))\/(25\/(-50))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 + -31. Suppose 3*r = -r + v. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*p = -71, 2*p + 32 = -5*d + 95. Let u(l) = -3*l - 6*l + d*l. Let m(g) = 5*g**2. Calculate u(m(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - ((7 - -2) + -46 + 28).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/(-154) + 251\/11. Let c = 212 - t. Suppose 6*q - 3*q - c = 0. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1183 - 142. Let r = l + 7354. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54215\/3 - 18401. Let k = -305 - v. Calculate the common denominator of (51\/72)\/(0 + (-2)\/18) and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 12189.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 + 15*s**5 - 2*s**5 + ((0*s - s + 2*s)*(0*s - 2*s + s) - s**2 + 4*s - 4*s)*(42*s - 42*s - 9*s**3).\nAnswer: 31*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + 11520?\nAnswer: 11510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/3 - 100*y**3\/3 + 94*y**2\/3 + 196*y\/3.\nAnswer: 2*y*(y - 49)*(y - 2)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52.85 - -55. Let f = 2.3 - d. Round f to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1817 - -76. Suppose -20*f + z + 8287 = 0. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78337.\nAnswer: 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -25. Calculate the common denominator of -93\/2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rguorlueoroeooo. What is prob of picking 1 g and 1 e?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 - 2*c + 3. Calculate r(4).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 11. Let f be z(-8). Let w(p) = p**2 - p. Let k be w(f). Let v = k - -42. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/((-10)\/3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/909 - -91853\/19998. What is the common denominator of 121\/8320 and b?\nAnswer: 91520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 5*x - 3*i, 4*i - 16 = -0. Let -x*v - 3\/4*v**3 - 6*v**2 + 0 = 0. What is v?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 4*r**3\/3 + 13. Let w(o) = 6*o**2. Determine z(w(b)).\nAnswer: 144*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 l when three letters picked without replacement from oilioioioojodloo?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, h: 4, c: 3, i: 1, a: 2, k: 2}. What is prob of sequence ahh?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a centimeter in millimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 + -122212202211?\nAnswer: -122212210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -672*k**2. Let v(d) = -10*d. Give w(v(j)).\nAnswer: -67200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**2 - 8*r + 5. Is z(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oooomm?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -628 or -2509\/4?\nAnswer: -628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 r when two letters picked without replacement from {r: 7, o: 2}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 13) in base 15?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - -0.2. Suppose 3*f - 1 = 26. Suppose d - f + 4 = 0. Which is the biggest value? (a) k (b) -3\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 32809155*w + 168372. Let j(y) = -4677*y - 24. Calculate 14031*j(l) + 2*p(l).\nAnswer: -4677*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence idam when four letters picked without replacement from iimddiiiiddimiiiida?\nAnswer: 55\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 34ba7?\nAnswer: 34ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 385904128 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1. Let j(n) = -24*n**2 + 4*n - 8. Give -j(v) + 6*y(v).\nAnswer: 24*v**2 - 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k - 38*k - 52 - 121 = -50 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 1. Suppose 7*v + 515 = 508. Let n(j) = -92 + 186 - 93. Give v*q(o) - 2*n(o).\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, b: 1}. Give prob of sequence aaba.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14127 = 5*l - 3*n + 4447, -2*l = 2*n - 3872. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/28)\/((-3198)\/984)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64548527*l**3 + 74148980.\nAnswer: 193645581*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**2\/5 - 27398884*s\/5 - 93837355555682\/5 = 0.\nAnswer: -6849721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (464\/(-348))\/((-8)\/18). Solve 0 = y*o + 48 - 54 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 12 - -2) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0227223602 to five decimal places.\nAnswer: 0.02272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.37963 rounded to two dps?\nAnswer: -3.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -z**3 + 191*z**2 + 83?\nAnswer: -3*z**2 + 382*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from jcjiilyysyjy?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -2, -407?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/8)\/((-2)\/(-44)). Let z(i) = i**2 - 3*i + 4. Let u be z(4). Suppose d*w - 45 = u*w. Solve 10*h - w = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8426.322 rounded to the nearest integer?\nAnswer: -8426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 - ((-13)\/(52\/(-40)) + -34). Solve l*b + 6*b + 138 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2938122 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 102679 to the nearest one thousand.\nAnswer: 103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000175279677 rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/12*(-48)\/180?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*o**3 + 601436*o**2 + 4704723*o?\nAnswer: -60*o + 1202872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-4)\/4)\/1. Suppose i = -2*y + 5*y - 6. Does 8 divide 12\/y*(-48)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**4\/2 + 25*p**3\/3 + 10*p**2 - 8*p - 15. List the prime factors of k(10).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32097705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -387356 greater than or equal to -387355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -19. Let t be (f\/(-6))\/((-1)\/(-6)). Solve 0 = n - t*n - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {n: 7, o: 5, l: 2}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 4*k**2 - 2*k - 8. Let f be h(-2). Calculate the remainder when (-2)\/1 - (-1 + -65) is divided by 19 + f\/(-5)*(-5)\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/10 and (3\/(-24))\/(9\/708).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 34*k - 39*k + 29, 0 = -k + 2*q - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-55.93\nAnswer: -16.779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98344.100006 - 98344. Let b = x - 0.1. What is b rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**4\/3 - 174*n. Let w(j) be the first derivative of -2*j**2 + 1. What is w(u(l))?\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459 and 1836?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26126898?\nAnswer: 2, 3, 7, 88867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.7 + 5.7. Which is the closest to 2\/3? (a) 4 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 278103 and 24942801.\nAnswer: 2337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 - 4*x + 16. Let r be n(7). Suppose 5*s + r = 6. Let f be 5\/((-20)\/s) + -2. Which is the third biggest value? (a) -0.5 (b) f (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 3*p + 4, -10 = -4*k + 3*p. What is the third derivative of -51*u**4 - 115*u**4 + u**2 + 1 + 43*u**k wrt u?\nAnswer: -2952*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44356276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 58080.\nAnswer: 58080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33\/188 + 175\/2068. Let s be (-40)\/(-78) + 12\/(-18). Let o = 852\/7 - 122. What is the fourth smallest value in z, o, -5, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*r - 7 - 1, -10 = r + 5*u. Suppose r = 5*v + y - 0*y - 16, -17 = -4*v - 5*y. Solve 2*h = -h + o - 1, -v = -h + o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3acc9266 - 2?\nAnswer: 3acc9264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. Let k(i) = 5*i**2 - 2*i. Let m(h) = -66*h**2 + 27*h. Let r(t) = f*m(t) + 27*k(t). Determine v so that r(v) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.791999 millennia to years.\nAnswer: 7791.999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -2022100010?\nAnswer: 2022100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5427117ml?\nAnswer: 0.0005427117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 15995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 16 = 9*o. Let z be o\/(-6) - (-2 - 4\/(-3)). Solve 4*v - 4*w = -v - 18, z = -3*v - 3*w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -337862 and -0.6.\nAnswer: -337862.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2559, 20811, 70479, 167271, 326895, 565059?\n\"Answer: 2618*y**3 - 74*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f + 75427 - 105*f - 75425.\nAnswer: -110*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m - 15 = 0, 5*x = -3*m + 215. Let r = -28 + x. What is the highest common divisor of r and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 7*x**2 - 13*x + 17. Let g be m(13). Suppose -2*p - 1405 = 2*z - 7837, z - 2*p = g. Is (z\/50)\/((-2)\/(-5)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(15)\/sqrt(48))*6)**2.\nAnswer: 1125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 585 + -78. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 - 9*a**2 + 6*a.\nAnswer: 3*a*(a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*w + 3, 3*r - 3*w = 3735. Suppose -6*u - 242 = -r. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(((u**(-6\/11)\/u*u)\/u)\/u))\/(u*u\/u**(1\/10)) assuming u is positive.\nAnswer: u**(291\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11022 + -11006. What is the lowest common multiple of 11218 and g?\nAnswer: 89744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 3*w + 3*w)*(5*w**3 - 4 + 3 - 9*w**3) in the form n + o*w**4 + r*w**3 + d*w + l*w**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-15) + (-22)\/(-5). Suppose 2*k - h + 0 = 4*b, 2*k = -4*b - 4. What is the units digit of (4 - -3)\/(b\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 - b**2 + 4*b - 3. Determine r(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2)\/(c\/((c\/(c**(2\/15)*c)*c)\/c)))**(-4\/9)*((c**0)**44)**(12\/5) assuming c is positive.\nAnswer: c**(38\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 4 (c) -1476\/109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 12698.\nAnswer: -101584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3645768 divided by -3?\nAnswer: -1215256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 1\/(4\/(-160)). Let f be l\/(-12) + 5\/(-20). Let d(w) = 36*w - 3. Is 7 a factor of d(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 2. Let h be c(3). Suppose -6 = -k - k. Let a be -2 + 5\/((-10)\/(-12)). Solve h + k = a*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/3 - 14*k + 60.\nAnswer: 2*(k - 15)*(k - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3219 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.29 - 28.81. Let l = c - -31. What is the closest to l in 4\/5, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*g*z**2 + 2637*g*z + 6*g + 2*z**2 + 1489730*z wrt g.\nAnswer: -24*z**2 + 2637*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20070, 20069, 20068, 20067?\n\"Answer: -x + 20071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from {j: 1, l: 3, o: 4, g: 3, v: 5, m: 1}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 58443799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4376, 8605, 12540, 16037, 18952, 21141, 22460, 22765?\nAnswer: 21912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 12 + 1 - a in the form d + z*a and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*v**2\/19 + 2*v\/19 = 0 for v.\nAnswer: -1\/105, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 0.1. Suppose 0 = 4*x - 3*v - 89, 6*x - 5*x = -5*v + 5. Let i = x + -25. What is the biggest value in i, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.053831 + 870.586169. What is j rounded to the nearest ten?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -64, -79, -76, -49, 8, 101?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(208) - (sqrt(208) + -4))**2 + 3 + (1 + 3 + sqrt(208))*2.\nAnswer: 8*sqrt(13) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 11:18 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 9:38 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*k**3 + 187 - 65 - 63 - 59.\nAnswer: 56*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130 - 140.7. Let p = n + 11. Let w = -607\/5 + 121. What is the nearest to p in w, 0.3, 2\/17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52.5725 - 0.5\nAnswer: 52.0725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*n + 5, -n + 8 = h. Let i = 8 - h. Let a be (i\/6 - 2)*-1. Sort 2\/7, 0.2, a in ascending order.\nAnswer: 0.2, 2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5795 - 5189. Solve -10*j - 586 = -h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -30. Let i be 6*3\/(9\/2). What is the nearest to u in -5, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = z - 18, 0*c - c = -2*z - 14. Let g be (2\/c)\/(23\/(-115)). Let h(d) = -9*d - 9. Let o(p) = 4*p + 5. Let k(m) = -6*h(m) - 11*o(m). Determine k(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -179 + 115. Let u = -60 - y. What is the biggest value in -0.6, u, -5\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 49\/4 of a kilometer?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 24*x**2 - 13*x**2 + 2*x**3 - 14*x**2 - x**3 - 10 + 4*x. Let g be p(5). Let q(o) = -g - o + 126 - 62. Determine q(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.1, 4\/7, -1\/3, -31, -19 in decreasing order.\nAnswer: 4\/7, 0.1, -1\/3, -0.4, -19, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648580 is divided by 274.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2402325 (base 7) in base 12?\nAnswer: -127696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 5*n**8\/336 + n**5\/15 + n**2\/2 - 2. Let x(b) be the second derivative of d(b). Find the third derivative of x(q) wrt q.\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and -2*(5\/(-2) - 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/42 + 0)\/((-24)\/42).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 38*y**2. Let r(j) be the first derivative of j**2\/2 + j + 14. Let t(o) = -6*o - 7. Let d(k) = 14*r(k) + 2*t(k). What is n(d(c))?\nAnswer: 152*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 1200122?\nAnswer: 1200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -541294 + -5.\nAnswer: -541299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0818124l to millilitres.\nAnswer: 81.8124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-20))\/(12\/15). Which is smaller: -1\/2 or x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7965 divided by -295?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 24*v**2 - 25*v + 6. Let x be q(25). Suppose 7*h = x*h + 12. Calculate the highest common divisor of h and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1301 + -0.1301. What is the second smallest value in g, 1\/4, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 30 = -4*z. Let k = -1030 + 1042. Let t = k - z. Solve -2*j + t*x - 6 = 0, -5*j + j + 3*x = 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 459*m + 826. What is the hundreds digit of q(115)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -20 (b) -1\/7 (c) -1\/6 (d) 32 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - f. Let t be p(-1). Suppose -4*q = u - 25, 6*u - 67 = t*u - 5*q. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5469769 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5158744301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 93 * 17569.\nAnswer: 1633917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcjjwjcjwjccjwjjjjjj. Give prob of picking 1 j and 1 c.\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23842 - -24382. Solve 48*g + u = 138*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 12, e: 6}. Give prob of picking 2 e and 1 z.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211110110 - -121122112?\nAnswer: -12210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -321, -324, -329, -336?\n\"Answer: -o**2 - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893 is divided by 110.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -13*j + 2. Suppose 5*o = -9*o + 70. Let d(i) = 7*i - 1. Give o*d(a) + 3*y(a).\nAnswer: -4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*c = -176, -2*w = -6*w + 3*c - 148. Let u = 46 + w. Let j be -10*(u\/9)\/((-15)\/18). Solve 5*t = j - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -329.9537 - -330. Let z = o - 0.2463. Sort 22, z, -1\/9.\nAnswer: z, -1\/9, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 0 - 1 - -13. Suppose -u = -3*i + q, 3*u + 9*i + 14 = 14*i. Suppose k = -u + 7. Put -3, -1, k, 2 in decreasing order.\nAnswer: k, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 165\/10)*10. Let v(c) = c**3 + 7*c**2 - 2*c + 14. Let u be v(-6). Suppose -7*d + u = -113. Calculate the greatest common divisor of d and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x + 0*x + 16*x to the form a*x + i and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/3 - (-17)\/(-51). Let x(z) = -z - 2. Let f be x(-7). Sort 83, f, s, 4.\nAnswer: s, 4, f, 83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u\/u**(2\/5)*u)))\/(u\/u**(-1\/2)))**(21\/5)*u*u*u**(-1\/4)*u*u**0*(u**0*u)**(-1\/5) assuming u is positive.\nAnswer: u**(717\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1014 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 3499?\nAnswer: 3472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 43*n**3 - n**2 - n + 1. Suppose -4*s + 3*x + x = 0, 3 = 5*s - 2*x. Calculate the remainder when f(s) is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8012?\nAnswer: 2, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 768?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/6 + 1\/(-3). Let g = -2\/39 - 142\/273. Let p = 4.11 - 0.11. What is the third smallest value in p, k, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31819 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5)\/v*v**(-1))\/((v*v**(1\/2))\/v*v\/v**(-1\/4)))**(-5) assuming v is positive.\nAnswer: v**(175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (7 - (-14 - (-44 - -12))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160039 - 2956*a + a**3 - 4*a**3 + 160039.\nAnswer: -3*a**3 - 2956*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(484)\/(4*sqrt(11)))\/(sqrt(36)*5).\nAnswer: sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 787234.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.2 (b) 4 (c) 0.4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 100535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*3*-6)\/(sqrt(7) + (-6*(sqrt(7) + (2*sqrt(7) - sqrt(7))) - sqrt(7))).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 58. Factor -2*w**2 + 6 + 3*w**3 - 9 - w**v + 3.\nAnswer: -w**2*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 77 + 41 = 0. Suppose -7*b = -n*b - 315. Is 29 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*k - 4*k + 7, -7 = -5*u - 2*k. Suppose 252 = -f + u*f. Let i be (24\/14)\/(6\/f). What is the highest common divisor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01112038 to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.178943 less than -4391703?\nAnswer: -4391703.178943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8f535c + 6?\nAnswer: -8f5356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from ntnzmmmetthtt.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -28 + 8. Let f(a) = -245*a + 4. Let w be f(q). Let t = w - 505. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*s - 3*s - 6*s - s + 8*s + 11 as n*s + i and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/4*2\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**3 + i**2\/2 + 86*i. What is f(-6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 g, and 1 t when three letters picked without replacement from egfttgr?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5507 minus -11674514?\nAnswer: 11669007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 14 + 12)*(-z**4 - 14 + 7*z**4 + 13).\nAnswer: -78*z**4 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -8*g - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**5 + 478*p**4 + 1922*p**3 + 2888*p**2 + 1927*p + 482 = 0.\nAnswer: -1, 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 - 268. Let m = z + 193. Which is the closest to 1? (a) -1 (b) m (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 9 - 3 = 2*g, 2*g = -2*t + 16. Find the second derivative of -30*j**4 + 12*j**g + 8*j**4 - 36*j wrt j.\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-6)*282\/235?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7385, -7381, -7377, -7373, -7369?\nAnswer: -7365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 1 - (-4 - -1). Suppose -v = -2*n + 15. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 268 + -247. Calculate the lowest common multiple of 15 and a.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 13*o - 2. What is the remainder when u(12) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*s**5*z - 2*s**4*z + 3*s*z - 3*s + 16*z wrt s.\nAnswer: 380*s**3*z - 24*s**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72200.9 rounded to the nearest one thousand?\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 - -4.03. Let m = 801 + -2405\/3. Put m, t, 0 in descending order.\nAnswer: t, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 723.91 + -724. Which is the nearest to 66? (a) -5 (b) 1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/147 and 80\/3087.\nAnswer: 3087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11\/3 - -31\/9. Which is the fifth biggest value? (a) 2 (b) p (c) 111 (d) 5 (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.39279\nAnswer: 1.96395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 911.97861 - 912. What is i rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2638969 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n**2 - 11*n - 5. Let y(h) = h**2. Let j(w) = s(w) - 4*y(w). Is j(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -q. Let d be 4 + (-2)\/(q - -1). Find l, given that -4*l**4 + l**3 + l**d + 3*l**4 - l**5 + 0*l**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 8:37 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a + 3. Let b(v) = 7*v + 6. Let c(n) = 3*b(n) - 5*x(n). Let d be c(0). What is the second derivative of d*y - y**4 - y + 0*y wrt y?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 168*k. Let n(d) = 275*d. Let f(j) = -5*i(j) + 3*n(j). Let m(l) = 115*l + 2. Calculate f(m(t)).\nAnswer: -1725*t - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6 = 4*i, -i = -3*i - 5*j - 9. Let l = 799.69 + -796. Let o = 3.7 - l. What is the second smallest value in i, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*u**3 - 547 - 17*u**3 + 469 + u in the form b*u**2 + z*u + a*u**3 + s and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -466224484*f**5 + 1094509557*f**2?\nAnswer: -27973469040*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/8)\/(159\/1484))\/1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 19234419 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212799437 + -0.0024.\nAnswer: 212799436.9976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-9))\/((-22)\/(-33)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.7 + 11. Let j = 0.8 + u. Which is the nearest to j? (a) -4 (b) 0.3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -10, -0.055?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -73115*b. Let r(o) = -371*o - 2. Give p(r(f)).\nAnswer: 27125665*f + 146230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -14*c**2 - 13*c + 60. Let i be g(28). What is i rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -190 + 195. Let r(u) be the third derivative of -2*u**2 + 0 - 1\/90*u**w - 1\/36*u**4 + 1\/9*u**3 + 1\/180*u**6 + 0*u. Suppose r(c) = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/13)\/t*(t*t*t**(-7\/5))\/t*((t**(-3\/8)*t)\/t*t)\/(t**12*t) assuming t is positive.\nAnswer: t**(-7203\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 3*p - 3*p)*(78*p + 63*p - 17*p + 2*p**4) - 2 + 2 + 2*p**5.\nAnswer: -2*p**5 - 248*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - -7 - -3 - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3575 = -4*p - 5*i + 3567, 0 = 6*p + 2*i - 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2006*x - 2186*x - 220*x + 993*x to the form u + w*x and give w.\nAnswer: -3419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 149 = -15*y + 119 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1069883 - 0.107. Round k to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 13*l + 1. Let z(a) = 64*a + 5. Let y(j) = 15*g(j) - 3*z(j). Let q(b) = -2*b - 4. Let r be q(-3). What is y(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246, -572, -898, -1224?\nAnswer: -1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 12:03 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*s - 18*s**3 - 6 + 5 + 97*s**2 - 97*s**2 wrt s?\nAnswer: -108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z - 29*z - 8*z - 16*z + 1.\nAnswer: -67*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.1, -0.1, 0, -4\/9, 15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 167098992617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -5\/7, 1\/7, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 555 divided by 3.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lenm when four letters picked without replacement from mnlnexnnxn.\nAnswer: 1\/1008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.440783us to seconds.\nAnswer: 0.000009440783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**3 - 2*q**2 - 4*q. Suppose r = -26 + 48. Let h(x) = 7*x**3 - 8*x**2 - 15*x + 1. Let i(a) = r*p(a) - 6*h(a). What are the prime factors of i(3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 4. Suppose -6*z = -x*z - 38. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27555419 and 33864.\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.223 - 3.1835899.\nAnswer: 0.0394101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 9*a**2 + 9*a. Calculate f(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t - 5. Let f = 8 - 0. Let v(c) = 2*c + f*c - 2*c - 3 - 11. What is -14*s(g) + 5*v(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002329976 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.25 + -0.05. Let c = -211 + 148. Let w = c - -63.5. Put 2, w, r in decreasing order.\nAnswer: 2, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4223 at most 4217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4 + sqrt(1584)*-2 + sqrt(1584))**2 - (((sqrt(1584) + -3)**2 - sqrt(1584))*1 + sqrt(1584))) + 0.\nAnswer: -840*sqrt(11) - 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 47?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 4*t**2 - 6215*t - 24881. Give p(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4965205 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(-1)\/(-2) - -3. Let c be j - 77\/(-25) - 3. Let f = 24.9 + -25. Is f greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 9*u - 8. Let a be r(-9). Let k = 29 - a. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2242277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {f: 2, m: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54 - -26746447?\nAnswer: 26746373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10346?\nAnswer: 2, 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10709575 and 183625?\nAnswer: 2825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 306778 and 14758.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Suppose -22 = 5*w - 3*g, g = -2*g + 12. Let j be w\/(-24) - 2\/(-8). Which is smaller: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73873060 is divided by 246?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o + 392. Let u(x) = 32*x - 2483. Let q(g) = -38*h(g) - 6*u(g). Let t(s) = s - 3. Determine -4*q(z) - 5*t(z).\nAnswer: 3*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 6. Let c be i(4). Suppose 4*t + c = 6*t. Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*t - 149*t = -4*a - 24, 4*t - 32 = -a. Suppose -5*p + 2*m = -1767, -3*m + 350 = p - 0*p. Suppose a = -3*k + 2*g + p, -5*g - 74 = -k + 35. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-138)\/20)\/(9\/6) - -4.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**4 - 241*i**3 + 6*i**2*q - 2*i**2 - 6*i - 1517*q - 2 wrt i?\nAnswer: -12*i**2 - 1446*i + 12*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390423?\nAnswer: 3, 11, 11831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15624 - 75751 = -1894*z + 62983 for z.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 278097006 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1120213212 - 122?\nAnswer: -1120220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -32 (b) 1.6 (c) -0.7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 10 = w, 3*i = -4*w + 82 - 9. Suppose 0 = -k - 3*k + w. Suppose 0 = 5*r - 13 - 102. Solve -r = a - 3*a - 5*v, 31 = k*a + 5*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, 1\/6, -0.07, -1\/4, 11.825?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2203.4 take away -884.54066?\nAnswer: -1318.85934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 + g**5 - g**5 + (-3*g - 4*g + 0*g)*(-g**4 + 0*g**4 + 2*g**4 + (-g**2 - 3*g**2 + 2*g**2)*(-2*g**2 + 2*g**2 - g**2) + 0*g**2 + 0*g**2 + 2*g**4).\nAnswer: -37*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 205 - 871 = -2*x, -3*d = 12. List the prime factors of x.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 - -82.129. Let a = h + 0.039. What is a rounded to two dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 5*w - 6. Let k(d) = -4*d + 1. Let l be k(1). Let b be y(l). Solve -4*u + 2*u + 3*h + 4 = b, 3*h = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/4*57\/1. Suppose 8*l = -361 + 17. Let f = c + l. What is the lowest common multiple of 2 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110000000010000010100 (base 2) to base 14\nAnswer: 6b7bc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 11*w**2 - 4*w - 2. Let y(k) = -23*k**2 + 9*k + 5. Calculate -5*l(n) - 2*y(n).\nAnswer: -9*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-83 + (-1 - 0))*36\/16. Let k = h - 9. Let x = k - -593. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4107, 8183, 12259, 16335, 20411, 24487?\n\"Answer: 4076*v + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + 3*r**2)*(2 + 3 - 1)*(-60 - 6 + 36) - 8*r**2 + 8*r**2 + 8*r**2.\nAnswer: -352*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9808*i**3 - 2*i - 1322*i**3 + 2*i.\nAnswer: 8486*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1513*y**2 + 10 - 4*y + 2*y - 1509*y**2 in the form t + b*y + x*y**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1260))\/sqrt(7))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 402 and 346658.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 447.1129 and 0.81.\nAnswer: 447.9229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 3*w**2 + 12*w + 12.\nAnswer: -3*(w - 2)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 1. Let u(j) = 2*j - 2. Suppose -10*a + 8*a - 4 = 0. Let k(f) = f**3 + 2. Let x be k(a). What is x*u(y) - 13*w(y)?\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -19 (b) 18\/11 (c) -1\/4 (d) -1\/5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -37 + 23 + 7.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31374\/5 - -6275. Let x = 0.14 - -5.86. What is the nearest to x in 5, 0, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 - 306277036*h + 306277036*h.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - (-40 - -61)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**29*l*(l**(7\/10)*l)\/l)\/(l*l\/(l*l**(1\/4))*l*l)**(2\/3) assuming l is positive.\nAnswer: l**(433\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57274.\nAnswer: 2, 7, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.321 - -200.435. Let v = 186 - m. What is v rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 11013*j - 220327. Calculate x(20).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 5 - 7. Let u(i) = 0 - 6*i**2 + 0 - m*i**3 + 7 + i**3. What is the remainder when u(-6) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349635*b**3 - 2*b - 1343506*b**3 + 2*b.\nAnswer: -1693141*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 968 divide 2787840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -51*c**4 + 1827*c**3 - 6204*c**2 - 1152*c = 0.\nAnswer: -3\/17, 0, 4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzzz when four letters picked without replacement from zwzwzwzzwwwzwwwwww?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39397180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -5*f - 0*f + 4*a, 2*f = -2*a + 24. What is the units digit of 307 - ((-52)\/f - 36\/126)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**2 - 20*h - 21. What is the remainder when (5 + -5)\/(-2) - -83 is divided by v(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 11. Let z be (1\/x)\/((-3)\/(-6)). Suppose -5*s - 2*q - 18 = 0, 2*s + 6 - 10 = 2*q. Which is the third smallest value? (a) 2 (b) s (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 4 - 4)*(10 + 9 - 2) + (-2*y + 2*y - y)*(1 - 2 - 1) + 4 + y - 4 + y - y - y.\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-35)*r)\/r*r*r**(-17))\/(r*((r\/r**(2\/3))\/r)\/r*r)**(-32))**(-15\/2) assuming r is positive.\nAnswer: r**295","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 96 = 2*d, -2*k - 7823 = 3*d - 7686 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**2 - 3*m + 21. Let o(f) = -f**2 - f + 1. Let p(s) = -g(s) + 3*o(s). Differentiate p(n) wrt n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -9. Let z(i) = i + 2. Let g(f) = 7*f + 20. Let t(k) = g(k) - 6*z(k). Calculate t(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 7:57 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/105 and 97\/39330?\nAnswer: 275310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003618 to 5 decimal places.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 12200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 79 = 99 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -31. Let y be (w - 0\/3) + 3. Suppose -d + y*d = -3*m + 570, -180 = -d - 3*m. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28875.8854 to the nearest 100.\nAnswer: 28900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 + -82.884. Let n = 0.184 + v. Which is the third smallest value? (a) 3 (b) -10 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-1))\/((-4)\/58). Calculate the highest common divisor of t and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -4) + 4 - -3. Let l be (1\/5 + 63\/(-15))\/(-1). Solve 0 = l*z + n - 20 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10343383621 - 1913504118699\/185. Let o = 118115 - d. Let i = 3\/37 - o. What is the nearest to 1 in i, 4, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7055\/11 - 641. Put -4, k, -0.01, -3 in ascending order.\nAnswer: -4, -3, -0.01, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 78064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 258 - -294?\nAnswer: 51c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5587 + 5704. Solve -129*c + q*c = -12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-168))\/(((-34)\/(-340))\/(((-18)\/10)\/(-9)))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -16134252.\nAnswer: -16134251.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -118*q**3 - 2*q**2 - 4*q - 3. What is the units digit of w(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/12441 and -81\/665782?\nAnswer: 21970806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 14 = 5*u, -5*u = -6*f + f + 35 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -7*y - 5*y**2 - 2*y - y = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.57 rounded to 1 decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 18*o + 31. Let x be w(-19). Suppose x*s - 17*s + 230 = 0. Suppose s*b - 10 = 45*b. What is the highest common divisor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89 - 92. Let n be 7 + l + 2*41. Let z = n - -47. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 15) to base 7.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 911*h = 1222*h + 10263 for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + i - 68 = 46, -2*b + 7*i - 32 = 40 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 167597 = -50237. List the prime factors of x.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 15*s**2 + 5*s. Let m(k) = k**2 + k. Let j(z) = f(z) - 6*m(z). Is 17 a factor of j(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -10*u**2 + 484*u + 3433. Give p(-7).\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2727 is divided by 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 8 = 4*l. Suppose l*w + 0*w - 106 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 993, -131 in descending order.\nAnswer: 993, 5, -5, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*f - 38372 = 0, -63980 = -15*l + 10*l - 3*f. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(11)*-2)*-5 + 3 + (2*sqrt(396)*5 - ((sqrt(396) - (sqrt(396) - (sqrt(396) + -2*sqrt(396) + sqrt(396) + 3))) + sqrt(396)))**2.\nAnswer: -314*sqrt(11) + 32098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81760513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5420.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + 2 + 1 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104791720.\nAnswer: 2, 5, 11, 238163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28061176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 194332 and 36176436?\nAnswer: 10228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*l + 4*x - 12 = -26*l, -20 = 5*l - x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 5*j. Let i be y(-4). Let v(c) = c**2 + 9*c + 12. Let g be v(-8). Suppose g*h - 11 = 3*n, 0 = h + n + i*n + 26. Is -2 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -404 - -422. Suppose 5*r + 1 = 11, l - 4*r + 42 = 0. Calculate the remainder when (l\/(-3))\/(3\/y) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1321101102 (base 4) in base 12?\nAnswer: -1bb556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/33)\/((-2)\/108*15)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8356, -33106, -74360, -132118, -206380, -297146, -404416?\nAnswer: -528190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cndhhmb. What is prob of sequence cmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -11. Suppose -2*n - 6 = -m*n. Calculate the remainder when 4 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10762\/(-78) + 5 + -7. Let z = 90 - 230. Let c = z - h. Is c equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, -3, -1 in descending order.\nAnswer: 3, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225, -455, -697, -957, -1241?\nAnswer: -1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126\/13, -2\/19, 52.5.\nAnswer: -126\/13, -2\/19, 52.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 5*f - 10 - 43*f**3 - 4*f + 3*f.\nAnswer: -43*f**3 - 2*f - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1766324.07 seconds?\nAnswer: 2.920509375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23361 and -3.\nAnswer: 70083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227983365?\nAnswer: 3, 5, 5066297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 13 (b) 4\/19 (c) -0.3 (d) -3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 15*a**2 - 53*a - 11. Let u be j(18). Solve 0 = -4*n + i + 7, u = -2*n - 0*n - 3*i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1322262 (b) 6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5311183770 to the power of 1\/3, to the nearest integer?\nAnswer: 1745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksfk when four letters picked without replacement from fpkspxxvxpxp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06025, 0.056, 1 in descending order.\nAnswer: 1, 0.056, -0.06025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -4*u**2 + 0 - 7\/48*u**4 + 7\/240*u**6 - 1\/40*u**5 + 0*u + 1\/84*u**7 - 1\/6*u**3. Let r(w) = 0. Calculate w.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2)*(3 - 3 + 1 + 10*t + (-3 + 0 + 2)*(-2*t + 5*t - 2*t)) + (0 - 1 + 3)*(0*t + 6*t + 0*t) as d + k*t and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 210200220210101?\nAnswer: -210200220202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y = l - 57, -112*l = -3*y - 109*l + 21 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 49. Suppose 3*c - 59 = -2*m - 2*m, -u = -2*m - 4*c. Solve -3*p + 9 = r, 4*r + m = 5*r + 5*p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -514, 0.4, 17\/10?\nAnswer: 17\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100123013002 - 2130?\nAnswer: -100123021132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 109*k = 15*k - 75*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 5 - 23. What is the common denominator of -49\/3 and b\/(-27) + 1694\/72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 495 = -s, 2*s - 501 = -2*h + 7*s. Let c = h + -216. Calculate the smallest common multiple of c and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -19 - 23 + 9*u**2 - 20 + 8*u + u**3 + 52. Determine d(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2830, -2, -6 in descending order.\nAnswer: -2, -4, -6, -2830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1)*24\/(-24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -1*(0 - -2). Let a = 6 + -4. Suppose r = -2*u - 5*w + 73, -a*u - 2*w = -3*u + 59. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*a = 44*a + 129*a - 681 - 434 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 - 39. What are the prime factors of f\/(-15)*2*(-201)\/2?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22088 and 44.\nAnswer: 22088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/12)\/(2\/(-15)). Suppose 0 = -5*m - 5*v + 35, -v + k = -2*m + 3*v. Suppose -m*g + 4*g - 15 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*y - 2439 = 2*d, 0 = 3*y + 2*d - 1457. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (8 - (0 - (-5 - (-8 - -7))))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 - 11*j**2 + 21*j - 14. Let a be z(2). Solve a = -7*i + 20*i + 52 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78.6 - 79. Suppose 6*t + 84 = -6*t. Sort 1\/5, m, t, -0.2 in ascending order.\nAnswer: t, m, -0.2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210249*r**2 - 105265*r**2 - 105109*r**2.\nAnswer: -125*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -970*m + 2527. What are the prime factors of u(-8)?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 410*x - 791*x + 384*x - 5. Let j(n) = n**2 + 6*n + 4. Let m be j(-6). What is f(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*h**2 + 67*h**2 - 206*h**2.\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11640 - -11640.09. Put 1\/9, 0.7, 1, 2\/7, j in decreasing order.\nAnswer: 1, 0.7, 2\/7, 1\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 7*b**2 + 7*b + 12. Let y be i(6). Let f be 88\/18 + 10\/y. Is (-10 - 10)*f\/((-50)\/52) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) 1 (c) 48.676 (d) -2 (e) -2\/71 (f) -2\/7 (g) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -7 + -112 + 47?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2 + 31*a + 144. Is z(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1592 - -1591. Let t(w) = -33*w - 31. Give t(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5 = 2. Let h be (-8)\/(-24) - (-2)\/6. Which is the fourth biggest value? (a) h (b) -2\/5 (c) u (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51917098?\nAnswer: 2, 25958549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 4*b**2 + 5*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 13 - n - 4.\nAnswer: -n + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -30*j**2 + 27*j**2 - 2*j**4 + 2*j + 4*j**4 + 2. Solve a(t) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2789 + 2788.98806. What is l rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 18\/5 of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24891*g**5 + 77*g**2 - 2*g - 34?\nAnswer: 1493460*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**4 + 859909*l**3 + 2*l**2 - 19*l + 7878.\nAnswer: -24*l**2 + 5159454*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 7*f. Let t be q(7). Suppose 4*z - 3*j = 512, t = 4*z + j - 342 - 154. Let d = -78 + z. What are the prime factors of d?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 201635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4 = 2. What is the second biggest value in -0.3, n, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 204\/(-1428)*(-14)\/(-4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478175938 is divided by 110.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.7 - -6.1. Which is bigger: 3\/23 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evjt when four letters picked without replacement from jtvttue.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106 - -51. Does 9 divide 295\/11 + (-10)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8 = -n, 4*b + 4*n = -48. Let y = 42 - b. Let j = 58 - y. Solve j*v + 4 = 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2800675 - -1.28. Round u to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*r + 1 = 0, 4*y + 3*r - 23 = 1. Let l(p) = 0*p + 0*p + y*p. Let g(a) be the third derivative of -7*a**4\/12 - 4*a**2 - 33. Calculate l(g(w)).\nAnswer: -42*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36158 or -36164?\nAnswer: -36164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*v + 86446, 2*v + 2*v = -g + 172897. Let o be (-4)\/18 - v\/(-108). Suppose 0 = 7*x - 5*x - o. Round x to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d**2. Let t be (-1)\/(-8)*4*4. Let j(a) = -4*a**t - 3*a + 2*a + a. Give j(n(p)).\nAnswer: -256*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 637 or 38885\/61?\nAnswer: 38885\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -4 (c) -4.1 (d) -3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-5*(-2*((sqrt(5) - (0 + sqrt(5))) + sqrt(5)) - ((sqrt(5) + 0 - sqrt(5)) + 5)))**2)*3.\nAnswer: 1500*sqrt(5) + 3387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8*d + 10. Let o(c) = 9*c + 10. Suppose 6*i - 2*i = 3*b - 43, -5*b - 3 = 4*i. Let x(g) = i*q(g) + 6*o(g). Calculate x(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - u. Let k(d) = -d - 4. Let t be k(u). Let n(p) = -p + 5*p - 3*p. Give n(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a = o + 14*a - 29*a + 17, 2*a = -3*o - 23 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97\/42185 + -3\/3835. Is p less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 4 = 4*r. Sort r, -5, -2 in increasing order.\nAnswer: -5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 3:37 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869402811 a multiple of 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szsddddzlh. What is prob of picking 1 d and 1 l?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*r - 91*r + 127205. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 3*m + m)*(-m - m + 3*m)*(2 - 1 + 0).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 546 divide 28476630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*a**3 + 290*a**2 + 55*a - 10 = 0. Calculate a.\nAnswer: -1, -2\/5, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*q - 6 = 217*q + l, 5*q = -5*l - 20 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**4\/12 + w**3\/2 - w**2\/2 - w. Suppose 5*r + 22 - 2 = 0. Let s be z(r). Sort s, 0.5, -1\/10 in decreasing order.\nAnswer: s, 0.5, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 2. Let l = c + -9. Suppose -l = j, 3*j - 9 - 7 = -t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23309 - 238608 = -7*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -139*z + 3982. Let x be r(28). Which is smaller: x or 1097\/12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*o = -30. Let t be (-12)\/42 - o\/(-7). Which is the closest to -1? (a) t (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.88 and 0.1.\nAnswer: 0.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*m**2 - 6*m**2 - 4*m**6 - 5*m**6 + 2*m**6 wrt m?\nAnswer: -840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*116048.\nAnswer: 580240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*g - 140, -g = -2*g + 4*c + 54. Let k = g + 26. What is the remainder when k is divided by (-2)\/(-4) - 43\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6223\/5 or -1246?\nAnswer: -6223\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 682087 to the power of 1\/2, to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -0.01 (b) -1.6 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 12*o + 6. Let n be s(-13). Let x(d) = -d - 9. Give x(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 155, 252, 361, 482, 615, 760?\nAnswer: 917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/3)\/q)**(6\/17)*(q*q**(3\/8)\/q)\/q**(-6))\/((q\/(q\/q**(-5))*q**(-2\/17))\/((q\/q**(-1\/2))\/(q**(-1\/6)\/q*q))) assuming q is positive.\nAnswer: q**(5129\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + m**2 + m. Let r(b) = 4*b**3 - 3*b**2 - 21*b. Let u = -23621 - -23623. Give u*r(p) + 6*n(p).\nAnswer: 2*p**3 - 36*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**3 - h**2 - 2*h - 1. Let c be z(-1). Let j = c - -16. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/20)\/((-22)\/1155*-21)*3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g. Let u be k(1). Let b(c) = -c**2. Give b(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 g when four letters picked without replacement from {h: 3, g: 17}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 7. Let v be 4\/(-12) + 14\/m. Which is the second biggest value? (a) v (b) -4 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**4 - 490*z**3 - 64725*z**2 - 1151500*z - 5522500 = 0.\nAnswer: -235, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 51. Let s(x) = 3*x. Calculate q(s(c)).\nAnswer: -3*c - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + 16*l + 25. Determine r(-10).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -1\/5 (b) 0.3 (c) 0.2 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3406*n**3*q + 136*n**3 + 1 wrt q?\nAnswer: -3406*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/97601423 and 115\/44078062.\nAnswer: 1366419922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2 + sqrt(700) + 3)*-2)**2.\nAnswer: -14020 - 400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.023 in 8, 21\/4, 0, -2\/13, 10\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 26*o**2 + 159*o - 261. Determine q(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + 9*j - 2. Let o be 8\/(-3 - -5) + 2. Let b be s(o). Let u be (3 + 56\/b)*5. Which is greater: u or 1\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*m = -2, 3*c - 24*m - 4 = -19*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-6) + 444\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n. Let t(z) be the second derivative of -7*z**3\/3 + 15*z. Determine r(t(a)).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, -2, 1, -1.\nAnswer: -4, -2, -1, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82768.059 + -82503. Let f = m + -265. Sort 5, 0.4, f in descending order.\nAnswer: 5, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9, -3 in decreasing order.\nAnswer: 3, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/63181096 and 25\/5025769.\nAnswer: 442267672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 + -117530?\nAnswer: -117551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgju when four letters picked without replacement from jgjxgjjuggj?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1359 + -0.0359. Let k = 1057147\/15 + -210229\/3. Let h = 400 - k. What is the nearest to -2\/3 in h, t, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -4*h**6\/15 + 94*h**5\/25 - 27*h**4\/4 - 52*h**3\/15 + 2*h**2 - 4085. Suppose o(a) = 0. Calculate a.\nAnswer: -1\/2, 0, 1\/4, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 8:52 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -959, 8361, 17683, 27007, 36333, 45661, 54991?\n\"Answer: r**2 + 9317*r - 10277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (5\/8)\/(441\/72 - 6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2 + 5\/3*o**4 - 7\/3*o - 2\/3 + 7\/3*o**3 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63a3308 (base 11) to base 14.\nAnswer: -16d29ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28362.\nAnswer: 2, 3, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 45218694\nAnswer: 10\/22609347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -748, 0.81 in decreasing order.\nAnswer: 3\/2, 0.81, -748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y + 171 + 3063 = 0. List the prime factors of 28814\/21 - ((-574)\/y + 4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 65*v - 834. Let l be g(13). Solve 12*x - 3 = l*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -0.24, 2730, 2\/3 in ascending order.\nAnswer: -0.24, 2\/3, 47, 2730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191 a factor of 29935034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 3:47 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395964243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/3 - 13*t**2 - 38*t\/3.\nAnswer: -t*(t + 1)*(t + 38)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*c - 10. Let g be c + (2 - (-1 - -3)). Let j(s) = -s**3 + 9*s**2 - 9*s + 5. Let t be j(8). What is the biggest value in g, -5, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247881889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*t**2 - 1 + 7*t**2 + t**2 - 431*t**3 + 488*t**3 to the form z*t**2 + p*t + f*t**3 + w and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6230603520 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 434.462126 to the nearest 10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 8*d - 6. Suppose -4*o - 35 = 109. Let s = -32 - o. Suppose -s*w + 5*w + 11 = k, w + 43 = 5*k. Calculate y(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*a**2 - 1 + 0 + a**4 - 15*a**2 + 4*a as y*a**4 + g*a**3 + i*a + t + f*a**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8754 is divided by 139.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -169364, -338727, -508090, -677453?\n\"Answer: -169363*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -193616.\nAnswer: 77446.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 7323 + 12729. Suppose -2*z - u = -4*b, -3*b + 684 + 987 = -z. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129401 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(11) + sqrt(11) + -1)*-1)**2 + -4.\nAnswer: -100*sqrt(11) + 1121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 576 - 456*l + 361\/4*l**2.\nAnswer: (19*l - 48)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 - 1 + 2 - 5 + 7 + (0 + 0 - 2)*(5 + 1 - 4))*(3*i**2 - 2*i + 2*i) to c*i + d + v*i**2 and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040492625 divided by 1754625?\nAnswer: -593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 20*h - 29. Is o(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7387.6 - 0.5283728025\nAnswer: -7388.1283728025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 - (-7 - 2) - (10 + 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*a**3 - 262*a**3 - 160 + 160.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 = n, 3 = -t + 1. Suppose 14 = z + 4*v, -2*z + n*v + 1 = -v. Let w(i) = -2*i. Let g be w(-1). Solve 14 = -4*s + 3*s - 4*c, g*s = z*c + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/43, -0.1, 1, 6 in increasing order.\nAnswer: -2, -0.1, 1\/43, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 2:08 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0526 in 1, -0.47, -0.5, -1\/6, 0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 29. Suppose 9*x = 14*x - v. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1136 (base 11) to base 4.\nAnswer: 113103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.7 and 0.98.\nAnswer: -2.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 376425 and 12600?\nAnswer: 3011400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*b**3*q*u**3 + 8*b**3 + 5*b**2*q**2*u**3 - 2*b**2*q**2 - b*q**2 - 8*q**2*u**2 wrt u.\nAnswer: -96*b**3*q + 30*b**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 133*k**3 - 19*k**2 - 19*k + 19. Let s(c) = 22*c**3 - 3*c**2 - 3*c + 3. Determine 19*s(o) - 3*z(o).\nAnswer: 19*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*g - v - 28 = -90*g + 3*v, -4*g - 3*v = 21 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, 33, 172, 437, 870?\nAnswer: 1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87093*a**3 - 312*a**2 - 8*a - 1?\nAnswer: -522558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 2*g**2 - 3*g - 3. Let l be -10 + 7 + (1 - 0). Let t be x(l). What is the first derivative of -3*b + t*b + 6*b**2 + 6 wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(48) + (sqrt(3)*3 + 0)**2.\nAnswer: 12*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17917286.\nAnswer: 2, 17, 53, 61, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56575616 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3795 and 37038395?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1404) + sqrt(39) - sqrt(156)*3)\/(sqrt(540)\/sqrt(5) - (sqrt(108) + sqrt(108)*2)).\nAnswer: 11*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2599, -2601, -2615, -2647, -2703?\n\"Answer: -r**3 + 5*r - 2603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -27*i + 25. Let m(p) = 1. Let y(u) = -l(u) + m(u). Let q be 2 - (2 + 1 + -10). List the prime factors of y(q).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 34\/(-12) + 3 + (-862953)\/(-234)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/4 (b) -1663 (c) 3 (d) -3 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2668 and 1380?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2. Let w(h) = h**2 - 2*h + 3. Let v be w(2). Let i(m) = -33*m - 87. Let d be i(-3). Let a(o) = -6*o**2 + 0*o**2 + d*o**2 - v*o**2. Give u(a(t)).\nAnswer: 27*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2. Let d(l) = 6*l**2 + 5*l - 5. Let y be 2\/((-4)\/18) + -3. Let u(o) = -15*o**2 - 12*o + 12. Let w(t) = y*d(t) - 5*u(t). Calculate w(n(v)).\nAnswer: 27*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.789 + -0.011. Let a = -3.8 + -1.2. Let d = a - o. Is d at least as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-10) - 2850\/(-1140)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1020 = 19*o + 11*o. Suppose -o*d = -28*d - 1176. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 8*i**2 - 9*i. Let w(a) = -a**2 - 10*a - 7. Let j be w(-10). Let c(v) = -4*v**2 + 4*v. Suppose 0 = -64*n + 36*n - 84. Give j*c(t) + n*u(t).\nAnswer: 4*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*z - 19. Which is the third smallest value? (a) z (b) -2 (c) -3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43727620, 43727621, 43727622?\n\"Answer: o + 43727619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhoohhqoqhhhhhhq. Give prob of picking 2 o and 2 h.\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -29793.\nAnswer: -59586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/2280*190 - (-39)\/(-36)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49820 and 24617660?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 8*m**2 + 15*m - 8. Let r be 67\/(-7) - (-9)\/(-21). Is 21 a factor of d(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -x + 4*x. Suppose -27 = -34*b - 103 - 94. Sort b, -1, x, 0 in increasing order.\nAnswer: b, -1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 11*n + 19 = 0. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6008504 by -4.\nAnswer: 1502126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2196.96466 rounded to the nearest ten?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 984 and 902?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.044 (b) -0.5 (c) -2\/5 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00431120392 to four decimal places.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggk when four letters picked without replacement from {k: 2, l: 1, g: 1, t: 1, u: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/150 and -85\/1449.\nAnswer: 72450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, k: 14}. Give prob of sequence kaaa.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0274583492 to 3 decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 56?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 6*k - k. Let d(w) = -4*w**2 - 3*w + 2. Let p(s) = s**2 + 1. Let a(x) = k*p(x) + d(x). Solve a(m) = 0 for m.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1283*f**2 + 2560*f**2 + 9 - 1274*f**2 + 9*f. Let q(s) = -s**2 - 4*s - 4. Suppose -3*x + 25 = 5*j, 15*x = -2*j + 10*x + 29. What is j*i(t) + 5*q(t)?\nAnswer: t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4418802 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -4*t + 3*c - 13, -38 = -3*t + 5*c. What is the lowest common multiple of 33\/2*t\/12 and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 + 5*y**2 - 5*y + 7. Let m be d(-5). Let z = m + 143. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1012 - -1?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -631 = -9*y - 622 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 21*z**2 - 513*z - 3081. What is a(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**3 + 34*l**2 - 213*l + 36. Give y(7).\nAnswer: -1504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**6\/10 + 5*h**3\/6 + 39*h**2\/2 + 8*h - 6. Differentiate d(x) with respect to x.\nAnswer: 12*x**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -28. Let g be 6\/(-18) - q\/(-12). Factor -p + 1\/2 + g*p**2.\nAnswer: (p - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4097*v**2. Let t(r) = -140501 - r**2 + 140501. Calculate t(q(j)).\nAnswer: -16785409*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 n when three letters picked without replacement from {o: 2, m: 8, n: 2, d: 7}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1029058159*c**3 - 1079596341*c wrt c?\nAnswer: 6174348954*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -54 - 5?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3123, 4056, 4989, 5922, 6855?\n\"Answer: 933*v + 2190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -482\/7 + 69. Let z be (6\/(-4))\/((-12)\/24). Let n be (-12)\/63*z*7. Sort n, -0.3, g, 0.03 in decreasing order.\nAnswer: g, 0.03, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**3 + 22263*c**2 + 15*c**3 - 19573*c**2 wrt c.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.4 (c) -0.02 (d) -4082 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14 - (-1586)\/117)\/(4\/(-18)). Factor 0 + 3\/8*s + 3\/8*s**g.\nAnswer: 3*s*(s + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -10*s**2 + 7*s. Let z = 27 - 21. Let p(d) = d - 7*d + 7*d. Let h(r) = z*p(r) - k(r). Find the second derivative of h(t) wrt t.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/70)\/(10\/(-50))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-350)\/7)\/(-5) + 18. Solve -l = -20*i + 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 1 - 0 - -21?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 24 = 2. Let w = -25 - l. Sort -3, w, -4 in decreasing order.\nAnswer: w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215659427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**5 - 80142*z**4 - 881793*z**3 - 3527472*z**2 - 6093156*z - 3848400 = 0 for z.\nAnswer: -4, -3, -2, 26725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4. Suppose 5*r + 4*a - 2 = -s, 4 = r - a. Find the second derivative of 3*l**2 - r*l + 2*l - 3*l wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-5) - -2) + 1001\/(-35). Sort -2, 2, 0, q in increasing order.\nAnswer: q, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.015 in -0.33, -0.5, 4, 2, -0.17, -1?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 787815921 a multiple of 327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 7*o - 6. Let v be a(6). Put -0.5, 4, v, 0.2 in increasing order.\nAnswer: -0.5, v, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 852835657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31576 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-56)\/(-2)*(-36)\/(-21). Calculate the greatest common factor of m and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3*l + 6)*((-2 + 2 + 2)*(-2 - 1 + 1) + 0 - 3 + 4 - 3978 - 6199 + 6476).\nAnswer: 11112*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2414861*t**3 + t**2 + 677089*t - 1 wrt t.\nAnswer: -14489166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65512 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 13*w - 38. Let x be g(8). Let p be 9\/(((-45)\/(-6))\/5). Let q(l) = 0*l**2 + p*l**2 + 2*l**x. What is q(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*o + 21*o - 40. What is the third derivative of -87*p**3 + 94*p**2 + 19*p**3 + p**o + 47*p**2 - 2*p**5 + 14*p**2 wrt p?\nAnswer: -60*p**2 - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 2:13 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.275 rounded to one dp?\nAnswer: 11.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -7*v**2 + 11\/3*v**3 + 0 - 16*v. Let c be w(8). What is the highest common divisor of c and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 2*s**2 + 8*s + 3. Let l be ((-24)\/(-84))\/((-1)\/(-14)). Let b be x(l). Solve -4*q = -5*f - 27 + 2, b*q - 5 = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 57. Suppose 0 = -5*c - 3*m + s, -5*c + m + 43 = -m. Solve k + 5*p + 19 = 0, 3*k - c = 6*k + 3*p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 2*y - 5*y = -1 - 2, -6*k - 34*y = -7*k - 173 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*2*13\/(-2). Let y = 448 - 133. Suppose 0 = 2*b + 107 - y. Calculate the greatest common factor of b and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 5*s = 8, 4*v + 4*s - 8 = 0. Let n be (-6)\/v*(1 - 3). Suppose 0 = n*r - 25 - 247. Is 34 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(425) + sqrt(425))**2 + -3)*-5.\nAnswer: -8505 - 200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 12:57 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - f - 48. Suppose -h - 3*h + f = 0. Let c be 40\/(-10) - 18\/(-2). Solve 0 = h*s + 8, -y + c*s = y - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 + -116. Let j be 124 - q\/2*10. Suppose -13*g + j = -2299. What are the prime factors of g?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 835410.8ml in litres?\nAnswer: 835.4108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25a - -24?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/144*2*-27)\/(25\/10)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + b - 41. Calculate g(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-10))\/((-34)\/(-7310)). Let a = -165 + m. Solve 2*l + a = 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 2\/127, 100?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 + m**2 - 3*m - 2. Let f(i) = 4*i**3 - 2*i**2 + 5*i + 3. Let a(w) = -4*f(w) - 7*r(w). What is a(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133 + -145. Let a(t) = -24*t + 15. What are the prime factors of a(l)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 55.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*h - 61*h = 179*h - 8450 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 - 11 = 9*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -615, 21, -3, -0.4 in increasing order.\nAnswer: -615, -3, -0.4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*s**4 - 3\/4*s**5 + 3\/2*s**3 + 0 + 0*s**2 - 3\/4*s = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(42)\/sqrt(6))**2 - (3 + sqrt(252)).\nAnswer: -6*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4126078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(270)\/(sqrt(36) + sqrt(9)) + 5*sqrt(90)\/sqrt(3))\/(sqrt(18)\/((-1*sqrt(24))\/sqrt(8))))**2.\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 30*m**4 - 3*m**3 - 141*m**2 - 5*m - 5. Let b(g) = g**4 - g**3 + g**2 - g - 1. Let f(s) = 5*b(s) - y(s). What is the third derivative of f(v) wrt v?\nAnswer: -600*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93455 - 7257. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**2*m)\/m**1)**(2\/69)*((m**1*m*m)\/m**(-2\/9))\/((m*m**(-1\/10)\/m)\/(m*(m*m**0)\/m)) assuming m is positive.\nAnswer: m**(9127\/2070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 20478304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1. Let w be (h - (-2)\/(-2))\/(-2). Suppose -5*p + 30 + 70 = 0. Solve 6 = i - x - w*x, -5*x - p = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 - 2*y**2 + 2*y. Let k be n(2). Suppose 6 = 3*l - k. What is the second derivative of -u + 3*u**4 + l*u**4 - 6*u**4 wrt u?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 - 942 + 942 + 12*f.\nAnswer: -4*f**2 + 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + 84. Let d = x + 86. Suppose -2*s = -5*g + d, -2*g + 7*g = 3*s + 216. What is the remainder when g is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -702, -2777, -6182, -10917, -16982, -24377?\nAnswer: -33102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**4\/12 - w**3\/6 - 2*w**2 - 2*w. Does 19 divide a(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2 + 0\/(-26)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175885 less than -5?\nAnswer: -175890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 41151\/(-1247) - 15\/(-1). Let a = -11 - -8. What is the closest to 1 in -0.3, k, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1354469?\nAnswer: -3\/1354469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 17*s**3 - 4*s**3 - 14*s**3 + 20*s**3 - 2*s**2 in the form u*s**2 + a*s + g + r*s**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (2 - 8 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 602 - 94*l**2 + 2404 - 217*l**2 + 312*l**2.\nAnswer: l**2 + 3006","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 906, 0.2 in ascending order.\nAnswer: -0.2, 0.2, 906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.051 - -0.051352. Round h to 5 decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458402 a multiple of 478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*s = 34, 0*s + 62 = -3*m + 2*s. Let n = -37 - m. Let k = 49 + n. What is the greatest common factor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66*n - 121*n - 23*n + 23*n)*(1 + 5 + 2) to the form k + u*n and give u.\nAnswer: -1496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v + 2. Let k be g(-1). Suppose 5*x - 2514 = -2*s, 3*x - k*s + 1514 = 6*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 382 = -7102. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -477*f + 355. What is the hundreds digit of d(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.069 - -0.046. Let y = q + 0.02. Round y to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**2 - 1 + 14523*n - 14549*n + 1 - 5*n**2 - n**4 as l + w*n**2 + o*n + x*n**4 + b*n**3 and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.395 - -10.395. Which is the smallest value? (a) m (b) 5 (c) -167\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 equal to -162166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297562076?\nAnswer: 2, 7, 47, 173, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 3*n - 4, 0*d = 10*d - d - 2*n - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4032*o**2 - 120*o + 121. Let v be n(1). Calculate the greatest common factor of v and 218.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 13*n)*(-4*n - n + 4*n) + 4*n**2 - n**2 - n**2)*(3*n + 4*n - 4*n + (2*n + 0 + 0)*(-2 - 2 + 6) - n - 5*n + 4*n).\nAnswer: 75*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 149426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - y + 5901 + 1964 = 0, -5*y = -4*m + 7883. Let v(u) = -1972 + m + 8*u + 3*u. What are the prime factors of v(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210\/(-560) + 6459\/8 is divided by 102?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 27716*k**2 + 1139718*k.\nAnswer: -2*k*(k - 41)*(k + 13899)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 124\/7 + 4\/14. Suppose -i - 2*i + n = 3*t, 12 = 3*t. Suppose -7*j = -127 + 15. Calculate the least common multiple of i and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -138*x**4 + 1 + 5*x + 65*x**4 + 43*x**4 - 3*x**4 + 4*x**4 - 2*x**4 + (4*x - 4*x - 2*x**2)*(2*x**2 + 4*x - 4*x).\nAnswer: -35*x**4 + 5*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 438 and 300?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2 + 11*u + 4. Let o(s) = s**2 + 6*s + 2. Calculate -5*o(i) + 2*r(i).\nAnswer: i**2 - 8*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 12. Let r = -650 + 657. Calculate f(r).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -3, -38.\nAnswer: -38, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1473*y**2. Let d(o) = 8648*o**2. Determine x(d(i)).\nAnswer: -110162582592*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 5, 21, 73, 179, 357, 625, 1001?\nAnswer: 1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103022103000021 - 0?\nAnswer: 1103022103000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30293792 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: Solve 0 = 2*i + 4*z - 12, -11*i + 22*z - 2 = -6*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**6\/21 + 12*o**5\/35 - o**4\/14 - 16*o**3\/7 + 20*o**2\/7 - 465. Determine g so that d(g) = 0.\nAnswer: -2, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = c + 5*n, 0*n - 3*n + 149 = c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 + -85. Let z = -20 - h. Let q = -55 - z. Solve -q = -0*n - 2*n + v, v + 15 = -5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s + 41. Let v be y(-6). Let c(m) = -5*m**3 + 3*m**2 + 1. Let t(u) = u**3 - 1. Determine v*c(x) - 4*t(x).\nAnswer: x**3 - 3*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-27)\/(-6))\/((-153)\/(-136)). Solve -a*d - 4*o + 18 = 22, 2*d - 3*o = 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -87*r**2 - 2522*r + 11. What is t(-29)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + (sqrt(75) + sqrt(75) + 0)**2*-6.\nAnswer: -1800 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 9960?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/6)\/(46\/207). Let b be ((-273)\/(-45))\/13 - x\/10. Factor 5\/3*d + 0*d**4 - 10\/3*d**3 + 0*d**2 + 0 + b*d**5.\nAnswer: 5*d*(d - 1)**2*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 695, 1294, 1845, 2324, 2707?\n\"Answer: -4*r**3 + 627*r + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -b + 8, 0 = -c - 0*c - 4*b - 1. Suppose c*p = -2*p - 5. Are -3\/5 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*j + 9619990, -3*j + 2411155 = -5*f - 4803870. What is j rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1396, 3232, 5048, 6838, 8596, 10316?\n\"Answer: -l**3 - 4*l**2 + 1855*l - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7735766618 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/7? (a) -0.1 (b) -4\/3 (c) 1\/2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1, -1\/7, -0.6, -0.816?\nAnswer: -0.816","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 15 = 5*v. Let q(w) = w + 11. Let n be q(-9). Suppose -n*g = -4*m - 16, -6 = 2*g + g. Sort 1, m, v in descending order.\nAnswer: v, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*q + 0*q = 61, -2*q + 2 = 0. List the prime factors of m.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552 = -361*f + 357*f + 5*j, -f + j = 137. Put -5, 5, f in decreasing order.\nAnswer: 5, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6746281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 + 83 = 8*u. Find the first derivative of 65 - 134 - 57*f**4 + u wrt f.\nAnswer: -228*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1674, -1675, -1676?\n\"Answer: -t - 1673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1198527?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 3*q. Let m(v) be the second derivative of -1\/6*v**3 - v**2 + q + 3*v. Differentiate m(h) wrt h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -281198*l**5 + 178556*l?\nAnswer: -5623960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(3) - (1 + sqrt(192)) - sqrt(3))**2 + -4).\nAnswer: 32*sqrt(3) + 378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1311, -1304, -1295, -1284, -1271, -1256?\n\"Answer: u**2 + 4*u - 1316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/105 - 1032\/(-330)\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 58*f - 476. Calculate the remainder when m(70) is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 496 and 558.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6) - (-66)\/90?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 41 - 15 + 1583*t**2 - 12 as k*t**2 + v*t + r and give k.\nAnswer: 1583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5 - 3 - 5 + 2*u + 10. Let h be k(2). Suppose -4*l = -9 + h. What is the lowest common multiple of 3 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(121))\/sqrt(11) - (sqrt(891)*2 + sqrt(891))) + (-1*sqrt(275) - sqrt(275)) + sqrt(275) + sqrt(275) + 0 + (sqrt(22)\/sqrt(2) - sqrt(11)))**2.\nAnswer: 9251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*g + 3*g. Suppose -x - 3*h + 87 = 4*x, -3*x = -g*h - 37. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.6? (a) 0.5 (b) -58.58 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 5*z + 9. What is s(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -3*b + o, 3*b - 4*o - 22 - 35 = 0. Suppose -b = -4*j + 3*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19990, 79991, 179994, 319999?\nAnswer: 500006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/60270159 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j**3 - 7*j**2 + 4*j - 1. Let t(w) = -3*w**3 + 4*w**2 - 2*w. Let l(v) = 4*s(v) + 9*t(v). Calculate the lowest common multiple of l(-8) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252926 is divided by 63175.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 438911*k. Let u(s) = 10*s**2. Give u(l(b)).\nAnswer: 1926428659210*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*h, 5*h = -3*m + 2*h + 6048. What is the greatest common divisor of 344 and m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 6:29 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5649 - 3882. What are the prime factors of c?\nAnswer: 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 44 = -f, 0*f - 2*z = 3*f - 67. Calculate the highest common factor of 38 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -430\/7 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 3, -1\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 14567 * -0.032\nAnswer: -466.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*b)*(-1 + 0 - 1)*(2114 + 1133 + 47)*(-4 + 1 + 2) to the form y + x*b and give x.\nAnswer: -13176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 5*w + 2. Let g be o(-5). Which is the third smallest value? (a) 5 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 200 = -4*m. Suppose f + 5*t - 34 = 7, -2*f - t = -m. Let b = f + -32. What is the remainder when 37 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4 = -5*j + 2*j, 2*j = 3*y - 2. Let d(o) = -5*o**2 + 27*o - 2. Let n be d(y). Solve 27*k - 25 = n*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1197, -2434, -3683, -4950, -6241, -7562, -8919, -10318?\nAnswer: -11765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**4 + t**4 - 5*t**4)*(0 + 0 + 2*t) + 15*t**2 - 13*t**2 + 0*t**3 - t**3 - 4*t**5.\nAnswer: -8*t**5 - t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*d + 2*d + 48*d - 6*d to v + m*d and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91054093 to the nearest integer?\nAnswer: 9542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/30)\/((-1)\/(360\/(-224))*3)*-7?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 62 - 5 - (-1)\/(-1). What is the remainder when f - (-6)\/(0 - -2) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -21, -1\/5, 0.698, -1\/6, -10.8, 2?\nAnswer: 0.698","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/(-27)*16\/(-80)*6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 16) to base 3\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00207214475 rounded to 6 decimal places?\nAnswer: 0.002072","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 605971552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 - 35. Suppose -6 = -4*p + 3*j + 49, 2*p - h = -2*j. Let x = 1 - -39. What is the highest common divisor of p and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69055656 * 0.1.\nAnswer: 6905565.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/7 in -2\/97, 2\/3, 2, 7, -2\/25?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 + 11*a - 22. Suppose 5*b + p + 32 = 0, -7*b + 3*p = -2*b + 24. Suppose -80 - 18 = -g. Calculate the remainder when g is divided by z(b).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110120 (base 3) in base 4?\nAnswer: -11103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 (base 11) in base 4?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 49 = -17. Suppose 30*r - a = 31*r. Find the common denominator of -83\/18 and (-1)\/r + (-108)\/16.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.22, 23, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - 45. Let p = -3 - k. Solve 3 = p*c - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/8 of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 9 = 0, 135*i - 131*i = 5*s - 13 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -2) + -11 + 9 + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 998077019 + -998077164.0000118. Let t = q - -145. What is t rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 255*f**3*r**5 - 257*f**3*r - 13*f*r**2 + 3*r**6 wrt r?\nAnswer: 15300*f**3*r**2 + 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -162*w**2. Let i(u) be the second derivative of 1\/3*u**3 + 0*u**2 - 24*u + 1. Give q(i(h)).\nAnswer: -648*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4 - k**2 + k**3 + 4*k**2 - 7*k**2 - 5*k. What is the units digit of i(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/5))**(1\/3)\/(i\/i**(-1)*i)**14)**(-4\/23) assuming i is positive.\nAnswer: i**(2512\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44225 and 40?\nAnswer: 353800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14 - 37\/(-7). Suppose -154*q = -82*q + 288. Put -3, q, t in increasing order.\nAnswer: q, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41023242 (base 5) in base 16?\nAnswer: 5085e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23209665 to the nearest integer?\nAnswer: 4818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -13 + 20 + 8 - (27 + -1).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/15*-2*(6 + -1). Suppose n*h - 620 = -2*t - t, -4*h - 800 = -4*t. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/6)\/m**(2\/9)*m\/((m\/m**(-2\/7))\/m)*m*m*m*m*m*m*m**(-3\/5))\/((m\/(m**(-1\/3)\/m))**(-43))**(-9\/5) assuming m is positive.\nAnswer: m**(-110171\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50548 (base 13) to base 12.\nAnswer: -6b1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - 9*r + 5. Let t = 16 + -21. Let d = t + 12. What is the tens digit of i(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c + 1 - 1)*(3 - 2 + 0)*(5 - 5 + c**4).\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -0.3 (c) -7 (d) -246 (e) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 + 6*g**2 + 3. Let m(j) = -4*j + 3. Let r be m(2). Let p(z) = 3*z**3 - 11*z**2 - z - 6. Let w(b) = r*v(b) - 3*p(b). Determine w(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*p + 206 = -0*p, -4*f = p + 203. Suppose -h + t - 6*t - 4 = 0, 5*t - 25 = 0. Let b = h - f. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k - 7. Let m be j(-5). Calculate the highest common factor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + v**2 - v + 5. Let f be j(0). Suppose -f*c - 4*d = -3, -27 = -2*c - 2*c + 5*d. Solve -p = -c*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1494783.05 and 0?\nAnswer: 1494783.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5503692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 152540010 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 1\/1085, -1.9 in decreasing order.\nAnswer: 65, 1\/1085, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wswfwfftffffws. What is prob of picking 2 f and 1 t?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 815 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*x - 33*x + 92*x + 1.\nAnswer: 22*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-462)\/150 + -4 + (40 - 24) + -9\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374133.\nAnswer: 3, 311, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 243*p - 240*p = -26868003, 4*p + 4 = 0. Round j to the nearest one hundred thousand.\nAnswer: -13400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.33794 from 0.11.\nAnswer: -0.22794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (15 - 4) + (-15 - (18 + 21 + -110)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*j - 3. List the prime factors of 7\/((-7)\/2) - (j - 79).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**3 + 90434*x**2 + 1356172*x + 5062624 = 0.\nAnswer: -45202, -8, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 114 = -251. What is the remainder when s is divided by 326\/16 + 42\/(-112)*1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7014140 = 52*l - 25*l - 2703079. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 1113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 30*l + 1564. Let x be u(-52). Factor -4\/3*q**2 + 2\/3*q**x + 0*q + 0 + 2\/3*q**3.\nAnswer: 2*q**2*(q - 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 435, 1\/24, 1, -2\/9, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19745 = 26*k + 21617 for k.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24440 + -13?\nAnswer: -24453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 6 + 48*p**2 + 107*p**2.\nAnswer: 155*p**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7749, -7755, -7761, -7767?\n\"Answer: -6*u - 7743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37644060 by -5.\nAnswer: 7528812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -354120312?\nAnswer: -354120306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 12 = -2*a, 5*a - a = 0. Suppose 6*t = t + g + 4, -20 = -o*t + 5*g. Suppose t = 4*y + b - 105, y - 5*y - 3*b + 99 = 0. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.5*-4\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/430 and 99\/5504.\nAnswer: 27520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1704)\/6248*(-22)\/15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 371.17 + -205.17. Is n <= -69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -7. Let v(h) = -6*h**3 + h**2 - 1. Let f be v(-1). Let p = f + b. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 6*f**2 - 2*f - 6. Let o(q) = q**2 - 17*q - 53. Let a be o(20). Suppose 5*n - 18 = a. Determine z(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-13) - (-14894)\/143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.44.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4369\/28 or -157?\nAnswer: -4369\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 9*s**2 - 9*s - 3. Give q(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8037261 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 7*a + 154. Let i = a + 49. Solve 0 = -i*v + 2*v - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115 - 115.8. Let x = y - -5.8. Which is the second biggest value? (a) 0 (b) x (c) -2\/35 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170 and 9270?\nAnswer: 157590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 2*z**2 - 3. Let b be k(3). Solve 4*r + 12 = -b*u + 2*u, 2*r + u + 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22576537 or -22576536?\nAnswer: -22576536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 5 + 0*i - 5\/3*i**3 - 3\/2*i**2. What is the second derivative of l(a) wrt a?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**3 + h**3 - 2*h**3 + (240*h - 13321 + 13321)*(-91*h - 72*h - 9018*h**2 + 9020*h**2) to the form t*h**2 + s*h**3 + n*h + p and give t.\nAnswer: -39120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 277 - 277.1. Let v be (2\/5)\/((-14)\/10). Which is the closest to l? (a) v (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 4) to base 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22, 23, 22, 19, 14, 7, -2?\n\"Answer: -g**2 + 4*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -2*c - 4, -4*c + 13 = -750*z + 749*z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(91)*-4)\/sqrt(7).\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -554345 rounded to the nearest 10000?\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1665 is divided by 465.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002359537 rounded to 6 dps?\nAnswer: -0.000236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/5 + 6897*n\/5 - 2758.\nAnswer: -(n - 6895)*(n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 0, 31 in increasing order.\nAnswer: -2, -1, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -15 - 51*t + 28*t + 19*t. Let n(z) = -2*z - 7. What is 13*n(m) - 6*p(m)?\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -585185 - -0.8?\nAnswer: -585184.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(39) + sqrt(975) + sqrt(39))*5)\/(sqrt(3) - (sqrt(192)*-2 + sqrt(3))))**2*2.\nAnswer: 143325\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/11131 + 89333\/3172335. Find the common denominator of -131\/114 and p.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14, -228, -456, -704, -978, -1284, -1628?\n\"Answer: -m**3 - m**2 - 204*m + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + 4 + ((-2*sqrt(99)*-2 + sqrt(99))\/(sqrt(9) + 1*sqrt(9)*6))**2.\nAnswer: 30\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3 + 3*c + 2*c + 3. Let w(t) = -5*t**2. Calculate g(w(m)).\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 98.306161 to the nearest integer.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2707051059282+0.1\nAnswer: -2707051059281.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 1. Suppose 2*v - 2*l - 8 = 0, -l + 2*l + 13 = 4*v. What is the remainder when (-8)\/(b + -1*v) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = a + 3 - 9, -x + 3 = a. Put 4, -5, a in increasing order.\nAnswer: -5, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 10*m**2 + 5. Let d(i) = 2*i**2 + 1. Suppose -5*h + 29 = -p, -h = 28 - 33. Give p*z(w) + 22*d(w).\nAnswer: 4*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**3 + 471*w**2 - 11905*w - 12375 = 0.\nAnswer: -495, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*a + 24. What is the remainder when (-266)\/(-4) - (-18)\/a is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 - 77. What is the closest to 1 in t, 1, -6, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -282 + 4?\nAnswer: -27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1484 and 47208.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 25 = 37*s - 38*s, 2*i = -5*s - 10. Solve 10*g - 3*g - 35 = s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1343 divide 130225338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271 = -4*f + x + 345, 0 = f - 3*x - 143. Round f to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60563 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -100, -4.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 111714757 divided by 78617\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 f when three letters picked without replacement from {r: 16, f: 4}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**5\/20 - 9*a**4\/4 - 4*a**3 - 67*a**2 - 1142*a - 2. Calculate l(28).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c + 14. Let z(r) = -3*r - 1. Calculate d(w) - 2*z(w).\nAnswer: -3*w + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 3*j - 5*v, 9 = 2*j - 4*v + 3*v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 7*y + 0*y - 6*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6)*-2 - 49\/21. Let s be u*(-3)\/(-3)*-1. Suppose -4*z - q - s = -18, 3*z - q = 20. Solve 2*y + z = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 x when three letters picked without replacement from {s: 5, x: 4, w: 1, n: 5}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/98 and (54\/108)\/(5*(-1)\/63).\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -302 + 312. Suppose -7*l = -d*l - 5*h + 56, 0 = 3*l + h - 64. Solve -4*b + 12 = 0, 5*j + 6 = b - l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 4:49 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4829)\/1317 - (-14)\/(-132)*-38?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*k - 36 = -j, -4*j + 46 = -2*k. Suppose -d + 3 + 20 = 2*h, -h + j = d. Let l = 7 - -13. Calculate the lowest common multiple of l and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 15*h - 2668 = -4*a, -5*a = -4*h - 3333. Is a at least 665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 91\/3?\nAnswer: 91\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 3*q**2 - 2. Let m be c(3). Let j(p) = -20*p - 1. Let d be j(m). Suppose d = 2*b + b. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 41. Let o(l) = -2*l**3 + 26*l**2 + 3*l + 12. Let u be o(13). Calculate the highest common factor of b and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 249.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10*t**3 + t**2 + 2*t + 1. Let b(x) = -23*x**3 - 15*x**2 + 6*x + 6. Determine -b(s) + 3*m(s).\nAnswer: -7*s**3 + 18*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 8*o**2 + 6*o - 17. Calculate the remainder when 158 is divided by k(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 3*m + 23, -2*f = -3*f - 3*m + 1. Let h(i) = 3*i - 3. Let a(c) = 3*c - 4. Give f*h(w) - 3*a(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 26*j**7\/105 - 7*j**4\/24 - 4321*j**3\/6 - 44*j**2 - 4. Differentiate q(p) wrt p.\nAnswer: 208*p**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 983 = 2*x - 1010, -2*z + 15 = 5*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*i**2 - 3393*d*i - 1265*i**2 - 3*i wrt d.\nAnswer: -i**2 - 3393*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114.925 - 0.075. Let w = u + 112. What is the second biggest value in w, -1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + s - 151 = -460, 412 = 4*j - 4*s. What is the remainder when j is divided by 42?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1.7, -3, 5, 2 in decreasing order.\nAnswer: 5, 2, 1.7, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggggjgjggggggjj. Give prob of sequence jjj.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 16*u + 29. Let w(i) = 3*i + 6. Let b(v) = 2*t(v) - 11*w(v). Let g be b(-6). What is the nearest to -0.3 in 2, g, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(102)*-2)\/sqrt(6) + sqrt(153)\/(-4*sqrt(9)) + -3.\nAnswer: -41*sqrt(17)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(320) - sqrt(5))**2 - sqrt(25)\/sqrt(5)*-6) + (sqrt(40)\/sqrt(128))**2 + -2 + 2 + sqrt(5) + -1.\nAnswer: 7*sqrt(5) + 17989\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 52 = -7*o. Solve -2*r + v = 2*r - 12, 0 = 2*r + o*v - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 63.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2108 or -0.4882?\nAnswer: -0.4882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113648 is divided by 28379.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 63\/105*5\/(-30)*-20. Let v(w) = w - 1. Let o(a) = -6*a**2 + 2*a - 1. Give m*v(q) - o(q).\nAnswer: 6*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -689 - -710. Suppose 0 = s*l - 1640 - 1762. What is the remainder when l is divided by 49?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-2)\/13 + 136\/(-748) + (-14296)\/1716).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*21\/56*(-10 + 0). Let r = n + -13. Is r bigger than 7\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 7:21 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - t + 18, 4*g + 2*t = 5*g + 1. Suppose g*b - 110 - 110 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Which is bigger: -5 or -53\/10321?\nAnswer: -53\/10321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + -6 + 54 - (2 + 40).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -1. Is 19\/((r + 3)*-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1143 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + (-126)\/45)\/(-3). Sort -2, -5, -4, g in decreasing order.\nAnswer: g, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1542872 to the nearest integer?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11040 - -673?\nAnswer: -10145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22961023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(3\/4) + 1. Find y such that 193*y**3 + 5*y**i - 112*y**3 - 101*y**3 - 10*y**2 + 10 + 15*y = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16941440062 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 1357*m + 340992.\nAnswer: (m + 333)*(m + 1024)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 14. Let n(s) = s**3 - 5*s**2 - 9*s - 6. Give n(v).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 17. Let u be v(-17). Sort u, -0.07, 0.3 in descending order.\nAnswer: 0.3, u, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*105\/(-6)*(4070\/(-924))\/185?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17588 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4910 - 19450 = 812*s for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93911317 to the nearest integer?\nAnswer: 9691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106 + -104. Find the second derivative of 13*k**5 + 9*k + 315*k**2 + 22*k - 315*k**a wrt k.\nAnswer: 260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22070959 is divided by 669.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + h = 1325, -3*q - h + 1622 = -2353. Let f = q + -5257\/4. Calculate the common denominator of f and 101\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -88.8 or 1\/845?\nAnswer: 1\/845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4.6 (b) 0.2 (c) 10 (d) 0.37 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13195 - 65933\/5. Find m, given that 16\/5*m**2 - w*m + 36\/5 - 2\/5*m**3 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2485453 = -3*v + 1459552, 4*j - 1314996 = -v. Round v to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-2 - (111 - (0 + -1 - (55 - 72)))).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4\/5)*n*n**(-2\/3))\/(n**(1\/6)\/n**(1\/4)))**34 assuming n is positive.\nAnswer: n**(-391\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 622330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 549 - 546. Let v be 2\/(-8) - (4041\/(-12))\/o. Let m be ((-3)\/(-2))\/(6\/64). What is the greatest common factor of m and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*l + 6*l. What is the smallest value in 4, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -1\/10 (c) -1 (d) -5141 (e) -4 (f) -1.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 6:35 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-600)\/16)\/25*76\/6.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -10*s - 12. Let h be i(-6). Let r be 1\/8 + (-6)\/h. Is -1 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 3558 - 3582 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + 5 + (-3 + sqrt(700))**2 + (4*sqrt(126))\/sqrt(2) + sqrt(63)).\nAnswer: -270*sqrt(7) + 4296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 22*a**3\/3 - 3*a**2 - 790. Factor u(x).\nAnswer: 2*x*(11*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**2*j - f**2*s + 24*f**2 + 2*f*j + f - 98*j*s wrt j?\nAnswer: -2*f**2 + 2*f - 98*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9015801 to the power of 1\/2, to the nearest integer?\nAnswer: 3003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(3*250))\/((-11)\/44*-1)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -190 - -271. Let h = w + -30. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -3*o**3\/2 - o**2 + 3*o. Is c(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -13, 4, 23, 44, 67?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooffoooooof. Give prob of picking 2 o and 1 f.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*t + t. What is the common denominator of -34\/3 and t\/(-10) + 1491\/(-360)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 23 = -3*o, -4*q + 0*o + 2*o = -18. Let w = q + -2. What is the units digit of ((-14)\/8)\/(w\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1521 = -36*k - 369 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -2, 42?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/250554 and 29\/24864.\nAnswer: 1038295776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*j**2)*(3*j + 4*j - 5*j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1\/209, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**3*t**4 - 3*q**3*t + 5*q**2 + 3*q*t + 1317*t**2 wrt t?\nAnswer: 24*q**3*t**2 + 2634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 2*m**3 + 65*m**2\/2 - 243*m. Let x be g(-5). Solve x*q - 23 = -28 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5591*u - 3748 = -7465*u. Let k be 2*2*(-30)\/(-8). Solve -5*i - k = -0*z + z, 0 = u*z + i + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -328, -0.5, 0.1, -3, 2\/13?\nAnswer: -328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1167332*h**2*v**3 + h**2*v**2 + 53*h*v**3 + 15*h*v - h + 47 wrt h?\nAnswer: -2334664*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (3\/(-5))\/(-3) + 9999\/505 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 o when three letters picked without replacement from kokookm?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81815*d**3*p**3 + 14*d*p - 9*d + 9*p**3 wrt d.\nAnswer: 490890*d*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -111 >= 154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -651.92783 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 33. Let n = 18 - u. Calculate the greatest common factor of 104 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 827153.7ml to litres.\nAnswer: 827.1537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnvnvvnn. What is prob of sequence vnn?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-5 - (-5 + 4))\/(-38))\/((-13)\/26)\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -14\/87, 0, -2\/3 in decreasing order.\nAnswer: 3, 0, -14\/87, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-1 - -2)\/(8\/(-16)). List the prime factors of -1 - 2103\/f - 68\/(-136).\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.287 - -6.87. Let m = -0.043 + w. Let o = 4.76 + m. What is o rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -3*f + 7*t - 383, -125 = f + t. Which is bigger: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 2*-1 + 5. Suppose 0 = -3*x - x + p. Suppose d - x = 3. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -15*t - 2. Let z be y(0). Let g be -2*3\/(4 - z) + 0. Let p be 99\/(-216) + (-2)\/(-6). Which is the closest to 0? (a) -3 (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -64, -139, -244, -379, -544, -739?\nAnswer: -964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.13 and -5575695020.\nAnswer: -5575695020.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -349*c + 24. Let g(v) = -v**3 + 13*v**2 + 8*v + 80. Let t be g(14). Is a(t) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-7 + 5)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1, 1\/3, -2, 7385?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3 + 5 = 0. Solve y + 8 = 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 i when three letters picked without replacement from {d: 5, k: 1, a: 2, i: 3, x: 1}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0. Let w = 30 - 31. What is the closest to w in -1, n, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27666.\nAnswer: 2, 3, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2. Let w(b) be the second derivative of 4\/3*b**3 + 0*b**2 + 0 - 3*b. Determine w(r(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1001010111010001011 (base 2) to base 10\nAnswer: -306827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -31389, -31375, -31345, -31293, -31213, -31099, -30945?\n\"Answer: f**3 + 2*f**2 + f - 31393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -256680 by 186.\nAnswer: -1380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/14*(-5117)\/16082*(-2)\/(-38)\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652872119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 110924? (a) 2 (b) 19 (c) -2 (d) 0.3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p - 2 + 2*p - 6*p. Suppose 16 = -z + 5*l - 2, 0 = 3*z + 2*l + 20. Is g(z) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1238 by -619.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 272 + 2738. Let y = u + -391. Suppose y = 3*k - 275. Calculate the highest common factor of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2618405999?\nAnswer: 11, 21639719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3811040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -7*y**6\/2700 - y**5\/180 + y**4\/90 + 5*y**3\/3 + y. Let t(i) be the second derivative of m(i). Factor t(b).\nAnswer: -2*(b + 1)*(7*b - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 + 16. Let q = 83 + r. Let b = 49.00058 - q. What is b rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5588*h**2 - 71*h + 434. Is i(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*h**2 - 3*h**2 - 3*h**2)*(0 + 0 + 6*h) - 2*h**3 + h**3 - 3*h**3)*(1 - 2 + 0).\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -149, -6, 5, -2 in increasing order.\nAnswer: -149, -6, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43963063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/30 in -2, 17, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41333 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*i**4*j - 3858498*i**4 - 305308*i - 22*j wrt i?\nAnswer: 288*i**2*j - 46301976*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3894, 3901, 3920, 3957, 4018, 4109?\n\"Answer: h**3 + 3893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1\/2, 2\/53, -0.3, 0.1, 11 in ascending order.\nAnswer: -1\/2, -0.3, 2\/53, 0.1, 0.2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Let s(h) = -h**2 - 21*h + 8. Let y be s(-17). Let c = y + -76. Put f, -6, c in decreasing order.\nAnswer: f, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -522 + 534 + 0\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*p**3 + 8*p**2 + 113*p.\nAnswer: 30*p + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3515 - -4117.52. Let t = m - 586. Let s = 16 - t. What is s rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136541384.\nAnswer: 2, 7, 2438239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 17*w - 1428. Sort -3, w, 4 in descending order.\nAnswer: w, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16304?\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {l: 7, w: 3, y: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13.2, 3, 7, 5, 1\/15, -1\/2 in descending order.\nAnswer: 13.2, 7, 5, 3, 1\/15, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 396*k**2 + 17*k - 7. Let g(y) = 793*y**2 + 38*y - 16. Determine -4*g(s) + 9*i(s).\nAnswer: 392*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -257 + -5475. Let d = 5731.999994714 + w. Round d to seven decimal places.\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + w + w)*((4 - 1 - 2)*(-3 + 6 - 5) + 7 + 17 + 0 + (-1 - 3 + 2)*(3 + 2 - 3)).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*i + 346, -12*l + 66 = -i - 14*l. Which is smaller: -64 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 107*c - 26. Let b be m(6). Is b < -1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 47 - 842. Suppose 3*g + 2*g = n. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 105 + 442325?\nAnswer: 442432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 6:50 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1051947 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033542 rounded to three decimal places?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p**2. Let l(k) = -11*k. Give l(m(f)).\nAnswer: -55*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 - -99. Suppose 0 = -r - 4*u + 16, -5*u - v - 75 = -4*r. Solve 0 = 4*k + k + r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3067 - 1971. Suppose 4*n + j = 2*v - 5*v, n - 3*v = -274. Let b = n + 173. Round b to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832904788.\nAnswer: 2, 208226197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*o**3 - 784\/3 + 4*o**2 + 42*o.\nAnswer: -2*(o - 7)**2*(o + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -94\/605625 and 77\/484500?\nAnswer: 2422500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 u, and 1 t when four letters picked without replacement from kuvkvuvtudvdtvvk.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -1.981.\nAnswer: -2.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5700 + -6161.7. Let x = 433 + m. Round x to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1881 is divided by 318?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 84 = 36. Let q be (b\/(-48))\/((-6)\/(-16))*-6. Solve 0 = 4*k - q*o + 12, -9 = -4*k - 4*o + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 12:26 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2435858013 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 (q**(2\/15))**(-5\/4) assuming q is positive.\nAnswer: q**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l**3 - 11*l**3 - 15*l**3.\nAnswer: -39*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4 = 5. Suppose -q*u + g + 5 = -2*u, -1 = -3*u - 4*g. Put u, 2, -5 in ascending order.\nAnswer: -5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*z + 612 - 689 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62245448 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: Solve -19*w + 2*k = 19, -3*k = 19482*w - 19482*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 71, -2\/15, -50?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001543115 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -26 - 154. Let h = 67 + f. Calculate the remainder when h is divided by (-6)\/39 - (13 + (-1382)\/26).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 2:40 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/5)*p)**(1\/21))**27*(p*p**0)**5*p**(-1\/4)\/p**(-2\/3) assuming p is positive.\nAnswer: p**(2599\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*i**2 + 76947*i + 38475.\nAnswer: -3*(i - 12825)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -7. Let l = y - 4. Solve l = -3*x - 4 - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8740900.\nAnswer: 2, 5, 7, 12487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 73 - 33. Let b be 0\/(-1) - i\/(-4). Calculate the highest common factor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k = 0. Suppose 0 = -k*h - h + 6. Let f = -25 + 48. Calculate the remainder when f is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -10231?\nAnswer: 10231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.72 - 0.69. Sort -3\/5, -0.2, p in descending order.\nAnswer: p, -0.2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j + j**3)*(-122 - 1541 + 296 + (-5 + 1 + 3)*(3 - 2 - 2)).\nAnswer: -1366*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 713 or 31?\nAnswer: 713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -4 (c) 0.123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000760119 to 6 dps.\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -338838 * 0.4.\nAnswer: -135535.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 3 (c) 14 (d) -0.3 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 54 = -2*t, 3*o = -8*t + 3*t - 111. Let w = t + 26. Solve 0*y + 2 = w*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/2630 + 5287\/23670. Let u(f) be the second derivative of 0*f**5 + s*f**4 + 0 + 0*f**3 - 10*f - 2\/45*f**6 - 2\/3*f**2. Let u(g) = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116999779 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 - 55. Round h to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 2. Let n = 3 - i. Is -3 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (164 - 0)*(-3)\/12. Sort 3, o, 2 in descending order.\nAnswer: 3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*s + 2*w + 2, 0 = -5*w + 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 109*t - 112*t + 15. Suppose -t*a = -29*a + 288. Calculate the highest common factor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 3335*o - 3338*o = 40, 0*j + 7*j + 2*o + 44 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -12*m - 2. Suppose 0*k - 4 = k. Is 19 a factor of h(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * -228.5.\nAnswer: 274.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 8) in base 3?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -303, -701, -1269, -2013?\nAnswer: -2939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -733 (base 12) to base 13.\nAnswer: -627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**2 + 3*g**2 - 4*g**2)*(0*g + g - 4*g) + 371 - 371 - 40*g**3 in the form c*g + p*g**2 + b*g**3 + q and give b.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(sqrt(4)*-1) + sqrt(2))**2 + -3*sqrt(288).\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 69*(-15)\/(-54) + 1\/(-6). Let q be (k\/(-2))\/(9\/(-18)). What is the greatest common divisor of 19 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 382\/(-88) - (-1)\/(-4) and -1 - (-5 + (-82)\/12)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v - 2. Let q(n) = -21*n - 7. Let c(o) = 2*q(o) - 9*r(o). Let m be (-1)\/1 + (-8)\/(-2). List the prime factors of c(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152601 (base 8) in base 16?\nAnswer: d581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/((-405)\/(-18))*(-6)\/278. Let k(w) = -2*w - 29. Let j be k(-14). Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k. Suppose -20*r + 18*r + 20 = 0. Suppose -5*f = 5*h - 50, 3*f + 4*h = r + 25. Let i(y) = f*y + 4*y - 2*y. What is d(i(x))?\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 387959*s**2. Let q(h) = -2*h. What is d(q(y))?\nAnswer: 1551836*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-14) - ((-4)\/(-14) - 0). Solve y*f = -3*f - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 68*q**3 - 7*q**2 - 9*q + 2. Determine d(-2).\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(57)\/(sqrt(384)\/sqrt(8)) + (sqrt(76) + 0 + 3)*2)**2*-1.\nAnswer: -6275\/16 - 119*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - b**2 + b + 2. What is v(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.22 - 0.28. Let m = 0.1 + -0.1. Let s = -196 + 1370\/7. Which is the nearest to s? (a) -4 (b) m (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.7 and 10?\nAnswer: 8.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265930?\nAnswer: 2, 5, 7, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*1 - sqrt(448)) + -3 - ((sqrt(77) - (1*sqrt(77) + sqrt(77) + sqrt(77)))\/sqrt(11) + (sqrt(126) - sqrt(14))\/sqrt(2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from kaaakakaakkaaaaaak.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194603 is divided by 1261.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5585611 and 620?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 - (0 - -1) - 352\/(-4) is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 7*l - 1. Let p be x(-8). Let g(u) = -p*u**2 + 40*u**2 + 33*u**2. Let q(o) be the third derivative of 17*o**5\/60 - 37*o**2. What is g(q(y))?\nAnswer: 578*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*w = -45, 5*q - 3*w - 10 - 11 = 0. Solve -q*z = 16 + 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*m)*(1 + 4 - 3) + 2*m + 0*m - 1 + 3.\nAnswer: 6*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*r**2 + 403775*r + 25477515.\nAnswer: -5*(r + 63)*(2*r - 80881)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, i: 1, z: 1, g: 2, k: 1, j: 1}. Give prob of picking 1 m, 1 i, and 1 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/36214 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 10*p**2 + 55*p + 55. Let m(w) = w**2 + 6*w + 6. Determine -55*m(d) + 6*s(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98785.\nAnswer: 5, 23, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56777 is divided by 610?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36225760 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -17*j**3 + 89*j**2 - j + 11. Let c(u) = 12*u**3 - 60*u**2 + u - 7. What is -8*c(k) - 5*q(k)?\nAnswer: -11*k**3 + 35*k**2 - 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*h + 43, 0 = -4*h + 2*w + 20 + 18. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3427\/(-115) - 1\/5. Let p be 28\/q - (-6)\/10. Let a = 63\/5 - 66\/5. What is the nearest to -1 in a, p, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 7*m**2 + 7*m - 13. Let c be 9\/6*11\/(-66)*-32. Determine w(c).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5755929421?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1160*y - 15120 = 1112*y. Solve 35*o = 70*o + y for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 k, and 1 z when three letters picked without replacement from heezkeeehehekhhzeh?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -10*c + 3. Suppose c = 2*r - 4*m - 2 - 2, 3*r = -2*m + 38. Suppose u + 5 = 34. Calculate the remainder when u is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 23*w**2\/2 - 41. Let q(y) = 17*y. Give q(g(m)).\nAnswer: 391*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (112\/70 + -11*19\/190)\/(19\/(-20)).\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 5*d + 11, -b + d = -1 - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205316 is divided by 41008?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k = -30*k - 15. Let t = 6 - 1. Suppose 12 = 3*w + 3*a, w = t*w - 2*a - 4. Which is smaller: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24321 (base 9) to base 7\nAnswer: -65344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 2*m = -16, -3*m = 3*f - 5*f + 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(931) + sqrt(931) + -3 + sqrt(931) + -4 + (sqrt(931) + 0 + -2 - sqrt(931)) + 5))**2.\nAnswer: -1512*sqrt(19) + 75555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -40, -150, -330, -580, -900?\n\"Answer: -35*g**2 - 5*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*n - 54*n**3 - 45*n + 65*n**3.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 42*o - 5 + 10*o - 89*o + 6*o**2 - 2 - 10*o**2. Give p(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*s - 169*s - 316 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 12 = -4*n, 0*n - 12 = n - 3*f. Solve n = -2*l + 3*q - 6, -2*l - 3 = 3*q + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/15 > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*c + 4*c + 450. Calculate the least common multiple of c and 35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 4*d - 36 = 0, 3*d = o + 162 - 173 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - ((-48)\/(-40))\/(6\/(-20)). Solve -4*r = 2*f - 3 + 5, 0 = -x*f + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16588726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765229994.\nAnswer: 2, 61, 557, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*((4 - (3 + 1)) + -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 37)*(-4*r + 5*r + 0*r)*(-3*r + 7*r - 2*r).\nAnswer: -78*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251 = 185*n + 1628 + 4226 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -945, -1914, -2909, -3942, -5025, -6170, -7389?\n\"Answer: -2*u**3 - u**2 - 952*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3105052786.\nAnswer: 2, 11, 173, 815831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -277 + 279. Let c(o) be the first derivative of -o - 7\/3*o**3 - p + 0*o**2. Find the first derivative of c(v) wrt v.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275472799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + i**2 + 0*i)*(-12529 + 4115 - 11458 - 11296 - 15215) as z*i + y + m*i**2 and give m.\nAnswer: -46383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3716528947.\nAnswer: 431, 8623037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -0*k - 20. Let c = 10 - 15. Let a = k - c. What is the lowest common multiple of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -8 + 2*f + 12 - f. Let k be u(-2). Suppose 0 + 14 = k*q. Calculate the smallest common multiple of 5 and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7795 and 203246.\nAnswer: 211041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z**3 - 4*z**2 + 3*z - 1. Let i = -5 - -7. Does 13 divide j(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212288446 is divided by 56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 14 = -a, 17 + 85 = 5*a + 4*x. Let y be -1 + (-86)\/(-82) - 6073704\/(-7462). Calculate the greatest common factor of y and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.321 - -1.24. Let y = -33.081 - m. Let q = -40 - y. Which is the smallest value? (a) 0.1 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -419, -817, -1209, -1601, -1999, -2409?\n\"Answer: -o**3 + 9*o**2 - 418*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9200473 divided by 163.\nAnswer: 9200473\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337422429.\nAnswer: 3, 4165709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92488 - 29226441\/316. Let h = m - 1\/79. Let i = -22 - -23. What is the second smallest value in i, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-8 - (10 - 7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -165 - -176. Let o = 3 - -1. Suppose o*n = 4*m + n - 31, m + 3*n = -v. Solve -4*j = 3*l - 4, 4 = 5*j - j + m*l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38\/7 - 5. Let m be (-306)\/108 - 2\/12. What is the closest to -3 in m, -6, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**9\/2520 - y**6\/90 + y**4\/6 + 4*y. Let d(f) be the third derivative of q(f). Find the second derivative of d(v) wrt v.\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 4*j**2 - 3*j. Let o be v(2). Let g = -22 + 37. Let t = -14 + g. Solve o*p + t = -1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8031395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/19 in 3, -2\/7, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 30*s**2 + 39*s - 31. Is n(30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 10 + 2*p**3 + p + 16 - p**3 + 16. Let k be (3 - 3)\/(1 + 2). What are the prime factors of y(k)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -327*d + 1318 + 3152 + 4909 - 223 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1)*((1 - 2 + 5)*(-2*o - 3*o + 2*o) - 5*o + 3*o + 0*o).\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 526 divided by -2.\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69785 - 69785 - 1228*t**2.\nAnswer: -1228*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112222594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*j - 122656228 = 115861327 - 28385555. Round j to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.199 in -0.06, -1\/6, 2\/11, 1075?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 6*y**2 + 9*y + 52. Give d(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 644423 and 38.\nAnswer: 1288846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -593.7 + 558. Let s = i + 35. Which is the smallest value? (a) 2\/13 (b) s (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/17 (b) -3 (c) -11.5 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 11:51 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 620824 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s**3 + 2*s. Let p be (-3)\/(48\/20)*4. Let a(q) = -20*q**3 - 5*q. Suppose 7061*r - 7046*r + 30 = 0. Give p*w(l) + r*a(l).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*h - 243 = 0. Suppose h - 81 = f. Suppose k = -3*x + 6*x - 34, 2*k + 28 = 2*x. Solve -2*z + x = -f*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-35))\/(3 - (-12)\/(-5)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 40 = -2*q. Suppose 2*v - 4*t - 42 = -0*v, 0 = -4*v - 5*t + 45. Suppose -v*y + 8*y = -560. What is the highest common factor of q and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*d**4 - 7*d**4 - 10 + 7*d**4 wrt d.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/4 + 12987*z\/4 + 733761\/2 = 0. Calculate z.\nAnswer: -12873, -114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**4 + 7*q**3 + 6*q. Let z be (-1)\/5 - 72\/15. Let t(h) = -4*h**4 - 6*h**3 - 5*h. Let g(c) = z*o(c) - 6*t(c). Factor g(u).\nAnswer: -u**3*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101943487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -22*a + 312. Determine c(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1027, 1380, 1959, 2764?\nAnswer: 3795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**4 - 12*d**3 - 24*d**2 - 20*d + 2. Let w(r) = -3*r**4 + 12*r**3 + 24*r**2 + 20*r - 4. Let c(p) = 5*a(p) + 4*w(p). Suppose c(j) = 0. What is j?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 25*h = -20*h, 5*f + h = -8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 45124025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.01 - -0.01. What is the third smallest value in -4, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 34*g**3 - 23*g**2 + 11*g - 10. Let m(y) = 15*y**3 - 12*y**2 + 5*y - 6. What is 9*m(n) - 4*x(n)?\nAnswer: -n**3 - 16*n**2 + n - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9308 divided by -4.\nAnswer: -2327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*r**5 + 4*r**4 + 13*r**3 - 1049*r**2 + 40.\nAnswer: 600*r**2 + 96*r + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4597308 - -4596792.8051. Let l = d - -517.275091. Let c = l - 2.08. What is c rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/28 and 21\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/17? (a) -2 (b) 50 (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 129 = 2*s - 2*h, 2*s = -2*h + 48. Calculate the remainder when s is divided by (-1*5)\/((-950)\/(-40) - 25).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*n**2*t**2 + 3*n**2 + 32*n*t**2 + n + 3*t**2 wrt n.\nAnswer: -36*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157764?\nAnswer: 2, 3, 13147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + k**2 - 4. Let d be h(4). Suppose 0*a + 2*a = d. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 9:14 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**2 + 5586*c - 3935445 = 0.\nAnswer: -2407, 545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101022231 (base 5) in base 14?\nAnswer: 456589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 12*g**2 - 29*g + 21. Let x be c(9). Suppose -1 = -b, 2*z - 6 = -0*b + 2*b. Suppose -z*u + 0*u = -28. Solve 1 - u = x*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*v = -5, 5*v - 25 = -3*f + f. What are the prime factors of 108\/f + 2\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10*1200\/7920?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3928678 a multiple of 689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 201\/4, 2, -2, 1\/2 in decreasing order.\nAnswer: 201\/4, 2, 1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -11 (b) 2\/33 (c) -4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3039*-48.\nAnswer: 145872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 1\/6*p**3 + 0 - 34*p - 2*p**2. What is r(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 523800 + -249319. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 6. Let f be (-6)\/1*(-8)\/(-6). Let l be b(f). Does 9 divide 24 - 6\/l*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2 (c) 13 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.5 (c) -249 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - -7)\/(9\/(-8)). Suppose 17 + 3 = -2*b - 4*l, -2*l - 10 = -b. Is f < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -162 + 241. Let n = -699 + 783. Let j = h - n. Which is the second biggest value? (a) j (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 9 = -2*s - 14, -b = -3*s - 17. Let w = -14 - s. Let r(q) = -9*q - 16. List the prime factors of r(w).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6729761 rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 117235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 4*v - 6. Suppose -2*b + 3*j = -16, 3*j + 0*j + 26 = 4*b. Let c be k(b). Let q = -0.4 - -0.2. Is c at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 787398 and 3534?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -31*g - 4. What is the smallest common multiple of o(-1) and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) -5265 (c) -2 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*d = -5*y - 269*d - 40, -7 = -y + 4*d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -19. Solve r = -g + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**3\/7 - 47814*a**2\/7 - 68170*a + 17922750\/7 = 0.\nAnswer: -23897, -25, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 + 5*w + 7. Suppose 2*s - 260 = -3*s. Calculate the remainder when s is divided by x(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8846068 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 883*c + 1. Let w(l) = 1774*l + 3. Calculate 5*b(v) - 2*w(v).\nAnswer: 867*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-30) + (-12)\/(-5). Let w be h\/2 + -6*(-5)\/30. Solve 0*i - c + 3 = -2*i, -w*c - 12 = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o + 0*o - o)*(-1 + o**2 + 1)*(-70462 + 482*o + 70462) to b*o**4 + l*o**3 + n*o + m*o**2 + c and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.13 - 4.87. Let w = -0.02 - 0.08. Let j = w - 0. Which is the closest to j? (a) r (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n**2 - 6*n - 7. Determine r(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/(-3745))\/(459\/(-510))?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3880 + 3884. Which is the second smallest value? (a) k (b) -4 (c) 2 (d) -91 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-30) + (2 - (1 + 1)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 57120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 3:08 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 47031980843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7022368417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-6))\/((-425)\/(-1020)))\/((-28)\/20)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d + 3*y - 19 = 0, -4*d + 2*y = -76. Suppose 3*v - d = -22. Let z(x) = 2*x**3 - x - 4 + 3 + x**3. What is z(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 13) + (-3 - -8) - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 7.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 13*l = 5*h + 14, -4 = 3*l - 5*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/1080*423 - (1 - 9).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 3 - 6)*(-4*i + 958 - 958 + 2*i**3) + i**3 - i**3 + i**3 + (-i**2 + 5*i**2 - 5*i**2)*(-2*i + 2*i + 2*i).\nAnswer: 19*i**3 - 40*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h**2 + 2*h**2 - 11*h**2 in the form o + q*h + t*h**2 and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3883168 divided by -14\nAnswer: -1941584\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1204?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(20)\/sqrt(4))**2 - sqrt(320)\/sqrt(4) - (2*sqrt(720)*-6)**2.\nAnswer: -103659 - 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 6. Suppose -4*v = -5*z + 237, m*z + 4*v - 222 = 3*v. Find the common denominator of -8 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-5)\/(250\/20))\/((-12)\/225)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 413871439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 94*g - 99*g + 4*j + 21, j + 3 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6496 = 9*y - 52. Let p = y - -1169. List the prime factors of p.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15, -16, -19, -24, -31?\n\"Answer: -o**2 + 2*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o = 11*o - 44 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**3\/3 - 11789*t**2\/3 + 27550*t + 306696 = 0.\nAnswer: -11796, -6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*f**4 + 143*f**3 - f**2 - f - 62388 wrt f?\nAnswer: 780*f**2 + 858*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1356, -1439, -1520, -1599, -1676, -1751?\nAnswer: -1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -97*m - 66. Let y(l) = l + 9. Let u be y(-14). Is r(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4))**(-25\/2)\/((t**(-1)*t)\/t**(3\/8))*(t**(-2\/5)\/((t**(-1\/9)\/t)\/t))**(-10\/9) assuming t is positive.\nAnswer: t**(259\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/4 and (-66)\/90*9\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3 = -d + 9, -2*b = 0. Do d and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 558048706 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**3 - 14*i**2 - 11*i + 2. Give l(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.25 * -19.8.\nAnswer: 4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.37, -2\/7, 10.3.\nAnswer: -2\/7, 2.37, 10.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 0.2 (c) 2306 (d) -0.4 (e) -4 (f) 0.5 (g) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.065962 litres in millilitres?\nAnswer: 8065.962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.1 + -1.1. Let w = 136 - 1228\/9. Sort u, -0.1, w, 1\/5 in increasing order.\nAnswer: w, -0.1, 1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, t: 14}. Give prob of sequence st.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9529276 = 13707*v - 13831*v. What are the prime factors of v?\nAnswer: 31, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135793 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26291, -26290, -26289, -26288?\nAnswer: -26287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7639 - -3515. Is -2\/7 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.4677 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(2\/(-80))*1. Suppose -u = -r - v - 4*v, -v + 128 = 5*r. Solve 5*y - 4*i - r = 0, -4*y + 20 = -0*y + 5*i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -4.5. Let d = t + -5.34. What is d rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/648)\/(439\/(-10536)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 5*p**2 + 365*p + 4760 = 0.\nAnswer: -56, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 410868 and 21.\nAnswer: 2876076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/(3\/78*1). What is the third derivative of -28*d**2 + d**2 + 3*d**3 - v*d**3 - 13*d**3 wrt d?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - b - 15 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1110011001?\nAnswer: -1110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y**3 - 16*y**5 - 11*y**2 - 11*y**2 + 16*y**4 + 10*y**2 = 0.\nAnswer: -1, 0, 1\/2, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.9 + -0.1. Let v = w + 6.1. Let r(d) = -d**3 + 8*d**2 + 13*d - 31. Let s be r(9). Which is the closest to v? (a) -2\/19 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**5 + 10*b**4 - 5*b**3 = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5 + 716*q**4 + 5808*q**3 + 17504*q**2 + 23392*q + 11712 = 0.\nAnswer: -2, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.035 + 0.066?\nAnswer: -14.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 4)*(-2*x**4 - x**4 + 6*x**4) to the form r*x + t*x**2 + q + i*x**4 + s*x**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21932112*m**4*r + 4*m**3*r + m**3 + 169274014*m**2*r wrt m.\nAnswer: -526370688*m*r + 24*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 63095899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208494 and 9841338?\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 134*d*l**2*n**2 + 49*d*l*n + d*n**2 - 43*l**2*n**2 - l**2*n + 2*l - 2*n wrt n.\nAnswer: 268*d*l**2 + 2*d - 86*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111100010 - -1?\nAnswer: 1000111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1383 at most as big as -1383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, 0.4, 842, 2, -2\/83 in decreasing order.\nAnswer: 842, 107, 2, 0.4, -2\/83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 + 6*v**2 - 2*v + 5. Let t be f(4). Let s = t + 36. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 12*p + 22. Let i(m) = m**2 + 9*m + 9. Let o be i(-4). Let k be n(o). Solve -4*b - 3*s = -5*s + 28, -5*b = -2*s + k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/81*6*-7*(-2)\/(-2940)?\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 6:48 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 490 + -474. Solve z = 6*n - 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/20)\/((-2)\/(-5)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*((-1*(5 + (sqrt(147) - (1 + sqrt(147) - sqrt(147)) - sqrt(147)) + -4*(sqrt(147) + 0)))**2 + -2) + -3.\nAnswer: -9471 + 896*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -864 = -861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/5)\/(26\/(-130)). Let v be a\/8 - (23\/(-8) + -1). Solve 0 = 4*y + v*k + 28, 0*y - y = -k - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00530131 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -a - 23, 3*a - 5 = 3*n - 32. Calculate the remainder when 25 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 924.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 m when three letters picked without replacement from {u: 2, z: 2, r: 4, c: 2, m: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5 - 744*k**4 + 46107*k**3 + 5190*k**2 - 318432*k - 276768 = 0 for k.\nAnswer: -2, -1, 3, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + -4*(sqrt(44)\/sqrt(4) + -5 + sqrt(11)) + 3)**2.\nAnswer: -304*sqrt(11) + 1065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.77 - -3.919. Let i = u + 0.841. Which is the third biggest value? (a) -3\/2 (b) i (c) -3\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -22200111221?\nAnswer: 22200112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8194047907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*f**2 + 154*f**2 - 7*f**2 - 16*f**2 + f.\nAnswer: 290*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 174 in 0.11, -7.3, -68, -2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -234, -411, -588?\n\"Answer: -177*y - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2. Let h(v) be the third derivative of 23*v**4\/12 + 2*v**2 - 6*v. Give h(y(g)).\nAnswer: 138*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -8. Let a(t) = 9 - 957*t + h - 10. Is a(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 188 + -187. Let w = -4\/9 + 1\/9. What is the closest to w in 0, 0.3, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 937174, 937102, 937030?\n\"Answer: -72*v + 937246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -393.\nAnswer: 1\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 a when three letters picked without replacement from hghwwaahggh.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2)\/y)**(12\/7)\/(y**(-2\/7))**(-5) assuming y is positive.\nAnswer: y**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -9.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1132 (b) 3\/8 (c) 2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/(-12))\/((15\/4)\/(-3)). Factor -o*w - 1\/3*w**2 - 3.\nAnswer: -(w + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65005852.\nAnswer: 2, 43, 139, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 92.46381 tonnes?\nAnswer: 92463.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 0*f**2 + f**2 - f**2 - 3 + 4*f. Let z be c(2). Solve 3*j + 21 = z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -14*s**4 - 17*s**3 - 5*s**2. Let u(q) = -99*q**4 - 120*q**3 - 36*q**2. Let c(m) = 2*u(m) - 15*w(m). Factor c(p).\nAnswer: 3*p**2*(p + 1)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 317, 624, 929, 1232, 1533, 1832?\n\"Answer: -n**2 + 310*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -642*c**3 - 3*c**2 + 270*c?\nAnswer: -3852*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*j = 10137, u - 4*j + 10155 = -0*u. Let g = -14891 + u. Let x = -37966 + g. Round x to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -431*v + 51. Is f(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65)*1 - sqrt(65))*-6 - ((sqrt(65) + sqrt(65)*-2)*-1 - sqrt(65) - sqrt(65)))\/(sqrt(5) - sqrt(245)*-2 - -2*sqrt(15)\/sqrt(3)))**2.\nAnswer: 13\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 10:11 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33448 - 16858. What is p rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -1659*q**2\/2 - 1066*q + 2264. Find the first derivative of g(v) wrt v.\nAnswer: -1659","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m - 35. Suppose -13*y + 14*y = -20. What are the prime factors of n(y)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2842 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 156*b**2 - 109197*b - 2086. Determine t(700).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 8*f**2 + 27*f - 30. Is v(10) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(3\/10)*g*g**4 assuming g is positive.\nAnswer: g**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 4. Let b(y) = -4*y**3 - 7*y**2 - 7. Let r(s) = s**3 + 2*s**2 + 2. Give n*r(a) - 2*b(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6973678521 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -13 + 11 - 2*k + 5 - k**2 + 2. Let q be w(-3). Find the second derivative of 2*h**2 + 3*h**q - 4*h**2 - 9*h - 4*h**2 wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.42 + 0.42. Let u = x + 9. Let f = -10.25 + 0.25. Which is the closest to u? (a) -3 (b) f (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/80*-5 - 1\/2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.87524 nanograms to grams.\nAnswer: 0.00000000187524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1041, -4153, -9339, -16599, -25933, -37341, -50823?\nAnswer: -66379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(272))*-4 - (0 + (sqrt(272) - (sqrt(272) + -2)))) + 5.\nAnswer: -16*sqrt(17) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18763\/1489 equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 170 - 88. Suppose -10 = -4*n - n. Is v\/7 + n\/7 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 17. What is the biggest value in 0.2, h, 0.13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -11*b + 172. Let m(o) = -24*o + 339. Give -6*m(a) + 13*u(a).\nAnswer: a + 202","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w - 2*w + 0*w + 5*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 751074866 to the nearest integer?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/14977241 and 103\/4566?\nAnswer: 89863446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45974235449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/13*m**2 - 134\/13 - 136\/13*m = 0 for m.\nAnswer: -67, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - s - 1 - 2*s**3 + (-s**2 - 4*s + 4*s)*(0*s - s + 3*s) - 25*s**3 - 29*s**3 + 40*s**3 as p*s**3 + h + l*s + o*s**2 and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Find the second derivative of -2*i**3 - 5*i**3 + 4*i**q + 3*i - 4*i wrt i.\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67893666 by -11315611.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -422, -423, -424?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2733*b + 5313*b - 2553*b.\nAnswer: 27*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 836 = -6*f + 10*f. Let q = 182 + f. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 4*t - 8. Let h(u) = -2*u**2 - 3*u - 4. Let s be h(t). Let w be (1\/4)\/(s + 4). Which is greater: 49 or w?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 86 = 2382. Let a = 613 + j. Calculate the greatest common divisor of a and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/7 + 16230*z\/7 + 3488157\/7.\nAnswer: -3*(z - 5617)*(z + 207)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 16*w = -19*w - 13, 0 = -5*v + 3*w + 25 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 338*v**2 - 602*v?\nAnswer: 676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btghhhhtbhlhrbhhbglh. Give prob of sequence tr.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3323680 is divided by 664734.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 3*u + 4*u - 17, -2*v - u = 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ciguf. What is prob of picking 1 u, 1 i, and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p**3 - 3*p**2 + 2*p + 3. Let g(s) be the second derivative of 4*s**5\/5 - 5*s**4\/12 + s**3\/2 + 5*s**2\/2 + 95*s. Calculate 3*g(z) - 5*x(z).\nAnswer: 8*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2535\/25 + 5 + 2\/(-5) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133030907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t**(-19))\/t)**(-2\/57)\/(t**(-20)*t)**(2\/5) assuming t is positive.\nAnswer: t**(782\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1847*x**2 + 9441*x + 1025. Give q(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than -12942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (0 - -1 - 3). Let b = 0.4 + -2.4. Let c = b + 2.2. What is the third smallest value in w, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-421 + 0 + 3)\/((-19)\/475) is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/8 - 69*m**2\/2.\nAnswer: 3*m**2*(m - 92)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21110 - -1112?\nAnswer: -12221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u**3 + 13*u**2 + 4*u + 5. Let s(g) = -17*g**3 - 40*g**2 - 11*g - 14. Give -11*m(c) - 4*s(c).\nAnswer: 2*c**3 + 17*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 55, -5, 0.4 in ascending order.\nAnswer: -5, 0.4, 47, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(156) - (sqrt(156) - (-2*(sqrt(156) - (sqrt(156) - -1*sqrt(156)) - sqrt(156)) - sqrt(156))))\/(sqrt(12)*-3) + 2 + -1))**2.\nAnswer: -8*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1476657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 918 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m + 2. Let f be g(1). Solve 0 = 4*z + x - 8, -f*z + 8 = -4*z + 4*x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.1. Let u = c - 0.1. Let f = -126 - -125.7. What is the closest to u in f, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1439*b + 4297. Determine o(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhd when four letters picked without replacement from {d: 3, h: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/8 - (2 + 0). Let i be (-1)\/(-28) - 4\/14. Let v = -82 - -82. Which is the nearest to -1? (a) v (b) i (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*x - 10 + 7*x + 10*x)*(3 - 3 - 3*x) in the form q*x + c + y*x**2 and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/6)\/((-322)\/(-138))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33024703 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 8:59 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - 20002100101001?\nAnswer: -20002100100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**4\/12 - 4*i**2. Suppose 5 = -5*g + 15. Let x(t) = 2*t - g*t + 2*t**2. What is x(p(m))?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (-62 - -31 - -19)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115 - -142. What is the remainder when 64 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/(-10)*(-90)\/(-405) + (-72)\/60. Which is the biggest value? (a) -3 (b) 3\/5 (c) x (d) -215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n = 12*n + 12 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1649)\/16 + (-64)\/(-224)*(-7)\/(-32).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a818 (base 14) in base 15?\nAnswer: 8905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + (sqrt(108) - (2 + -2 + sqrt(108))) + 1 - (3*(1 + sqrt(108)) + 0 + sqrt(108)*4)).\nAnswer: -42*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -5) + 10 + 143 + -154\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2 - 4*l - 5. Let j(r) = r**2 + r + 1. Let b(h) = -2*j(h) - s(h). Calculate b(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - -31 - 4) + -16?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -290302 or -290312?\nAnswer: -290312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*f + 90 - 448, -3*y - 167 = 2*f. Let d = 99 + f. What is the greatest common factor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1240, -2659, -4254, -6025?\nAnswer: -7972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/30 + (-26)\/39. Let w = 19\/48 - 1\/16. What is the nearest to a in 3\/2, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1276176 to the nearest integer?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000426419 rounded to six decimal places?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 5, -8*g + 10*g = 5*h + 29 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 185 + -180. Suppose 0 = -4*j + 208 + 52. Calculate the highest common factor of l and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2102.452 + -2102.9820084. Let a = -0.53 - x. Round a to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 2*l**2 - 8 + 3*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/80)\/(432\/5760)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.67 (b) 0 (c) -1 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2 = -0*r + 3*r, -r - 3*f - 2 = 0. Let y = -5 + 8. What is the greatest common divisor of y and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 7*r + 36. Let n be (-1227)\/((12\/36)\/((-8)\/r)). Round n to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 18 - 18 = 0. Suppose 5*a - f - 16 = 0. Is a < 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47.3 - -47.5. What is the closest to 1 in 4, 1\/2, -9, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 7 (c) 2 (d) -2\/3187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**4 - 2*t**3\/3 + 9*t. Factor n(l).\nAnswer: 4*l*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -166\/3 - -55. Let s = 2 + -5. Let m = -16054 - -16049. What is the smallest value in -2, g, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 11*z**2 - 47*z + 36. Let t be (-39)\/15 + 16\/(-40). Let j(c) = 4*c**2 - 16*c + 12. Let d(o) = t*x(o) + 8*j(o). Is d(10) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 3*p**2\/2 + 3*p - 17. Let y(f) = -1. What is a(i) + y(i)?\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -7*i**3 - 3*i**2 - 2*i + 1. Let z be r(-2). Suppose 2*n - 10 = 2*s, -4*n - 3*s + z = n. Let g(o) = o - 2. What is the units digit of g(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 38912 + 19453 + 19459.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*m - 10, 5*m + 2 = p - 6. Suppose 2*z = 3*c - p, -c + 5*z = 4*c. Solve -c = b + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2813 (b) 1\/3 (c) -1121 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -8*d - 124 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 7*y**2 - 6*y + 2. Let o be f(6). What is the tens digit of -1 - -57 - (o - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 1b50872a?\nAnswer: 1b508730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.1 + 16. Put -2\/13, l, -1\/7 in descending order.\nAnswer: l, -1\/7, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)*o**(-9\/5))\/(o**3)**(-30) assuming o is positive.\nAnswer: o**(426\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-21))\/(62\/3).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u + 3. Let h(l) = -l - 1. Let w(z) = 170*z - 7988. Let f be w(47). Suppose 3*b - 18 = -0*b. Determine b*h(g) + f*x(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -14*l + 11. Let o(p) = 5*p - 4. Let a(c) = 4*n(c) + 11*o(c). Let v(i) = -2 + i**2 + 2 - 2*i**2. Give v(a(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22445358 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -44847?\nAnswer: 44846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11860 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2100 and 372008700.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -596930.88+1.03\nAnswer: -596929.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwww. What is prob of picking 4 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.677073 times 0.1\nAnswer: -0.0677073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {i: 4, x: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**4 - 3*g**3 + 3*g**3 + (g**2 - 5*g**2 + 2*g**2)*(g**2 + g**2 - 3*g**2) - 227*g**2 + 35*g**4 + 227*g**2.\nAnswer: 40*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 55359, 8914 in decreasing order.\nAnswer: 55359, 8914, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45, -83, -115, -141, -161, -175?\n\"Answer: 3*w**2 - 47*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, 2.3, 5, -5?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g - 6 = 0. Suppose -i = 4 - g. Which is the nearest to i? (a) -3 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6066?\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/5 (b) -7 (c) 31 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*h + 0*h + 7*h)*(-79 - 62 + 10).\nAnswer: -3406*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - k - 1 = 0, -3*k = -2*k + 5. What is the third derivative of p*f**2 + 0*f**3 - 4*f**3 + 3*f**2 + 7*f**3 wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - c - 10 + 3 = 0, 2*n + 8 = -3*c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 212\nAnswer: 42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j + 3. Let s(d) = -d + 1. Suppose -5 = -5*c + 3*h, h - 5 = -4*c - 1. Let p(a) = c*k(a) - s(a). What is the tens digit of p(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 146*k*y**3 - 5*k*y**2 + 6*k*y + y**3 wrt y?\nAnswer: 876*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 173670 greater than 4.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 184 = 191. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -756 or -0.056?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -2\/15*a**3 + 3*a - 1\/30*a**4 - 1\/5*a**2 + 0. Factor k(x).\nAnswer: -2*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47355, -95484, -143613, -191742?\nAnswer: -239871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5383650 is divided by 103?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 303 divided by -4\nAnswer: -303\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 l when three letters picked without replacement from llllllplpllll.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 207 - -260. List the prime factors of f.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148*-87\nAnswer: 12876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**4\/6 + k**3\/3 + 3*k**2\/2 - 9*k. Let s(r) = r + 4. Let n be s(-3). Let c(t) = t + 1. Give n*z(j) - 3*c(j).\nAnswer: -2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j*(((j\/(j\/(j\/(j*j**(-10\/3))))*j)\/j)\/j)\/j)\/j)\/j*j)\/(j*j**(-13\/4)\/j))\/(j**21*j**(-1\/3)))**(-12) assuming j is positive.\nAnswer: j**193","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 387\/135 + (-4 - (0 + -1))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*q + 114*q = 756. Let n = -19 - -12. Put n, q, -5 in increasing order.\nAnswer: n, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 980*i + 6811.\nAnswer: (i + 7)*(i + 973)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b + 11. Let j be t(8). Suppose 5*q - 290 = 174*c - 172*c, 2*c = -5*q + 270. Solve 0 = -5*x - j + q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 25 = -7*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23a + -1c?\nAnswer: 21e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944215 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2664043 + 246?\nAnswer: -2663464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -38730 and -38729 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 3:13 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 8*v**2 - 5*v - 7. Let s be u(-10). Calculate the highest common factor of 27 and s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -21, -3, -2, 8875.\nAnswer: -21, -3, -2, 1, 8, 8875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(-939*u + 467*u + 38 + 463*u).\nAnswer: -27*u + 114","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3122 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3318*c**2 + 1911165*c - 1726. Give u(-576).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -45163015760 rounded to the nearest one million?\nAnswer: -45163000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 5:24 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnn when three letters picked without replacement from {t: 1, n: 2, m: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 5*r**2\/2 + 8175*r\/2 = 0.\nAnswer: -1635, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 8*c**2 - 8*c + 8. Let m be x(7). Let n(z) = 10*z - 4. Let f(s) = 20*s - 7. Let t(i) = 3*f(i) - 5*n(i). Calculate t(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 - 1902471*q**2\/2 + 3619395905841*q\/4.\nAnswer: q*(q - 1902471)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91892397 to the nearest integer?\nAnswer: 9586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -40.149 and -1611.\nAnswer: -1651.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -192 + 405. Let d = -749.9 + 972. Let i = z - d. What is i rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4260 and 41100.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 585*c + 580*c + 95 = 0, -4*d + 6*d - 78 = -4*c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -6)\/(-2)*-2. Suppose 0 = -q + 3*q - 5*u - 19, w*q - 24 = -4*u. Let o = 19 + -11. What is the least common multiple of q and o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -132 in -3\/4, 1, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**4\/12 - 7*k**3\/6 - 2*k**2 + 9*k. Let g be z(-4). Let o(v) = 4*v**2 - 17*v + 4. List the prime factors of o(g).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7 - 4)*(-2 - 2 + 12)*(-3 + 3 + m - 2*m + 0*m + 3*m + 2*m + 0 + 0 + (-2*m - 2*m + 2*m)*(0 + 0 - 2) - 6*m - 10*m - 11*m).\nAnswer: -912*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/6*64\/24.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**3\/2 + 9*c**2\/2 + c\/2 - 9\/2 = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*c**2 + 72255 - 72255.\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 47. Suppose -1 = -k + h. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138622 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**2\/23 + 232*s\/23 - 6390\/23 = 0.\nAnswer: 45, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065 times 1.657?\nAnswer: 0.107705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 3*z - 6 + 2 = 0, -4*z = -2*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-17)\/(-17))\/(1\/31). Let n = 56 + u. Find the common denominator of ((-6)\/9)\/(12\/n) and -17\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8584 = 5*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 257, -3, 5, -4.\nAnswer: -4, -3, 5, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53447567 is divided by 91.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_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: Suppose 5*v - 19 = m + 10, 0 = -4*v + 2*m + 28. Suppose -10*s + 162 = -7*s. Suppose 2*u = -u + s. What is the remainder when u is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 188\/329*-7*2\/(-4). Suppose 0 = -w - s*p + 10 - 2, 12 = 3*p. Which is the second biggest value? (a) -6 (b) w (c) 2\/9 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 19*q + 12. What is the remainder when r(-13) is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0*l + 4*l + l**2 + 2*l**2 - 8 - 2*l**2. Let h be r(-6). Is -1*(-277 + h + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 160*n**2. Let j(u) = 8*u**2 - 5. Calculate j(a(p)).\nAnswer: 204800*p**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 - -36. Let v = t - -38. What is the smallest value in -3, v, -5\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 3:31 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -3*u - 0*u. Does u = -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -100 - (-10 + -109) - (8 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(5\/4)\/i*i)**(-11)\/(i**(-14)*i*i**(3\/29)) assuming i is positive.\nAnswer: i**(-99\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 + 204*v + 2472*v - 853*v as p*v + z + n*v**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 39808*c**2 - 358564*c - 318752.\nAnswer: 4*(c - 9961)*(c + 1)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oggogggg. Give prob of sequence ggog.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3162517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (76*x - 100*x - 216*x)*(0 + 5 - 83)*(-5 + 2 + 2) to the form c*x + j and give c.\nAnswer: -18720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6946 - -8141. Calculate the remainder when p is divided by 589.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p**3\/5 - 1269*p**2\/5 - 17268*p\/5 - 4428 = 0. Calculate p.\nAnswer: -41, -18, -10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1395000*m. Let x = 59 - 61. Let y be k(x). What is y rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/m**(15\/8)))\/m)\/m*m\/m**(-8) assuming m is positive.\nAnswer: m**(79\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l + 6. Let k be q(-2). Solve -6*d + 2*d + 41 = -5*h, -d + 5*h + 29 = k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**2\/9 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120 - -35. Let b = 185 + c. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10962 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98 + 163. Let l be (h\/(-10))\/(2\/(-4)). Let k = -9 + l. Calculate the least common multiple of 5 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13487.3 - 12843. Round z to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by (7 - 30\/6)\/((-2)\/(-15))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2. Let w = -125 - -128. Let i(o) = -3*o - 9*o - w*o - 17*o. Calculate v(i(c)).\nAnswer: -1024*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6 + (-3)\/(-2) + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.13 + 0.03. Let q = -9 - -8.6. Sort q, -2, s.\nAnswer: -2, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 678119670 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 225.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 33*x**2. Let l(w) = -24087*w. Determine n(l(z)).\nAnswer: 19146057777*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3121667*w - 13659.\nAnswer: -3121667","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 + 20*i - 4. Suppose -18*v + 8 = -14*v, 3*k + 26 = v. Let j(u) = 5*u**2 + 30*u - 6. Give k*x(n) + 5*j(n).\nAnswer: n**2 - 10*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18151060 by 9075530.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**3 - 392*p**2 - 44806*p - 1042836 = 0?\nAnswer: -43, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1347 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/57 + -142\/399. Let b(q) = q**2 + 11*q - 65. Let g be b(-15). What is the smallest value in w, 2\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2200020 = -2*j - 4*k, 5*j - 2*k + k = 5499995. Round j to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 1. Let v(u) be the second derivative of -u**4\/12 + u**3\/6 + u**2\/2 - 13*u. Let j(r) = o(r) - v(r). Let g(f) = 5*f**2. Determine j(g(q)).\nAnswer: 25*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1)*2*(2\/(-4))\/((-624)\/(-4784)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(2) + 2 - (sqrt(7)*3 + -2).\nAnswer: -2*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 3, -7, 4, -5, 20699 in descending order.\nAnswer: 20699, 4, 3, 1, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/95237 and -35\/13813.\nAnswer: 1809503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -2913650792?\nAnswer: -2913650788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 22 = 8. Solve 5*t = -g - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1609 + ((-39)\/(-4) - (-110)\/440) is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.5? (a) -251 (b) 0 (c) 0.4 (d) -3.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(156) - (sqrt(156)*-1 + sqrt(156))) + sqrt(156))\/sqrt(12) - sqrt(13)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 66547*c**2 + 123*c + 6. What is the ten thousands digit of g(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1150006 or 1150016?\nAnswer: 1150006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o - 11*o = -12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**2\/3 + 940*b\/3 - 1900\/3 = 0 for b.\nAnswer: -190, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 544 minutes after 11:03 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 499 - 271. What are the prime factors of d?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 951537956 divided by 4?\nAnswer: 237884489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**3 - 2*n. Let t be 132\/34 + (-8)\/(-68). Suppose -y = -3*q + 4, -2*y + 3*q = -7*y + 70. Let i(v) = 8*v**3 + 6*v. Give t*i(r) + y*g(r).\nAnswer: -r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16778.185 - -16848. Let d = f - 69.8. What is the smallest value in -0.2, d, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 750\/12*(-1)\/45 and -76\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3885 and 315.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 173 - 173. Let n(d) be the second derivative of r - d + 0*d**2 + 1\/6*d**4 + 0*d**3. Let u(a) = 2*a**2. Give n(u(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (41 + -1)*(-26 - 119\/(-2)) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*o - 489, 5*o + 10*c - 481 = 6*c. What is the lowest common multiple of o and 2?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404283364 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.241 - -0.0018. Which is smaller: 0.2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**2 + 8*c + 32. What is a(-4)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g - 28. Let i be q(8). Suppose -1364 = i*a - 312. Let h = -181 - a. List the prime factors of h.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + p**2 + 4*p - 1. Let t be l(-2). Let z(g) = -2*g - 12. Let f be z(-8). Sort -5, t, f in increasing order.\nAnswer: -5, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 equal to -0.0886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 427.\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 223*c + 9. Let s(q) = q**2 + 229*q + 6. What is 2*a(w) - 3*s(w)?\nAnswer: -3*w**2 - 241*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + u + 5 = 0, -u = 2*i - 2 - 3. Calculate the lowest common multiple of 3 and 80\/35 - i\/7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7*c - 19. Let a = 17 - 13. Let k be s(a). Solve 4*r + 5*x = 14, 5*r + 3*x - k = 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 - 3*y**3 + y**3)*(1 + 1 + 4)*(-3 - 10*y + 14*y + 67*y).\nAnswer: 426*y**4 - 18*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) -1.1 (c) 1\/21214\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44135\/1225 + (-38)\/1330.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69\/276 - (-33)\/(-84)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 + 0 + 2*b - 24 - 2*b in the form s + y*b**3 + l*b + p*b**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffgggfggflfffgl. What is prob of picking 1 l and 2 g?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 0*a - a - 24, 4*p + 5*a = 25. Suppose -2*v - 3*d = -2*d + 7, 3*v + 3*d + 18 = 0. Is (p - 24\/(-6))\/(v\/(-13)) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, v: 3, x: 1}. What is prob of picking 1 v and 1 x?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 e when three letters picked without replacement from {e: 12, v: 1, w: 5}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*(2 + sqrt(1088)))**2 + -3.\nAnswer: 18432*sqrt(17) + 628989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 9988900 to the nearest ten thousand.\nAnswer: 9990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**2 + 24. Let k(n) = n**2 - 4. Let y(r) = -f(r) - 6*k(r). Let i be (-4)\/(-3) + (-10)\/(-15). Let w(x) = -i*x - 8*x - 7*x - 6*x. Give w(y(u)).\nAnswer: 23*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 24 + 12 + s + 27.\nAnswer: s + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l. Let b(d) = 435*d + 188483. Calculate b(v(w)).\nAnswer: 435*w + 188483","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 39, 164, 371, 660, 1031, 1484?\n\"Answer: 41*a**2 + 2*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18105534?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 1:02 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20115\/(-6109) + 1*3. Let s = 798\/205 + v. Factor -8\/5 + 2*b + s*b**2.\nAnswer: 2*(b + 1)*(9*b - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 11*k**2. Let s(f) = -5*f**2 + 5. What is s(r(a))?\nAnswer: -605*a**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 490 - 489. Put 2\/17, -0.048, m in increasing order.\nAnswer: -0.048, 2\/17, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 2\/2671655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 - -2. Suppose -3*s - 2 = -11. Let y be 1\/s + 2\/(-2). Which is the closest to -0.3? (a) m (b) y (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -626 - 78?\nAnswer: -715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(3146) + sqrt(182)\/(sqrt(7)*-4))\/(-5*(sqrt(98) - (sqrt(98) + sqrt(98)*-1 + sqrt(98))) + 1*sqrt(98)*-4).\nAnswer: -25*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1002 + 4*v**2 - 4*v**2 + 8*v**2 - 5*v**2.\nAnswer: 3*v**2 + 1002","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -11*z - 3. Let p(c) = c**2 + 11*c + 10. Let g be p(-8). Let k be (-3)\/(-2) + g\/4. What is the remainder when t(k) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1198.7 minus 0.12?\nAnswer: -1198.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 241*g + 123*g + 116*g + 2*g**3 - 3*g**3 to the form p*g**2 + l + x*g + f*g**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8*y - 4055 = -5*r, 3*y + 12 = 0. What is the remainder when r is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -4\/5 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1342 + -1?\nAnswer: -1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7 and -1.4.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, v: 1, u: 1, z: 1, g: 1, w: 2}. Give prob of sequence vwzu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107304 divided by -4.\nAnswer: -26826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 + 3*o**2 + 2*o**2 - 2*o - 2*o**2 + 2*o + (-3*o + 3*o + 2*o)*(4*o + 1 - 1) + o**2 - 4 + 4 to the form c + t*o**2 + r*o and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2 = -4*v. Suppose -3*l + 5*w + 43 = 0, v*l - 8 = -l - 2*w. Let x be (3*-1)\/(-2 + l). Which is bigger: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 6*n**2 + 7. What are the prime factors of o(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 5, 233 in decreasing order.\nAnswer: 233, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 99\/54 - (-2)\/12. Suppose 3*r - f*r - 47 = 0. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/11, -0.6, -3, -5\/23.\nAnswer: -3, -1, -0.6, -5\/23, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5929393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 8*r**2 - 7*r + 1. Let y = -2 + 7. Suppose -b + y = -2. Let q be v(b). Is q <= 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 552598 to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1629*x - 1409 = -1844 + 15096 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72\/5*o - 27\/5*o**2 - 12 + 3\/5*o**3.\nAnswer: 3*(o - 5)*(o - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from xatih?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -348287 or -348380?\nAnswer: -348380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 762 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q - 1 + 1)*(-3*q + 2*q + 2*q + (4 - 1 - 2)*(4*q - 2*q - q)) to i + y*q**2 + x*q and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5, -7, -29, -61, -103, -155?\n\"Answer: -5*h**2 + 3*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 35*j - 12. Let z(d) = 0*d + 1 + 6*d**2 + 5*d - 3*d. Let n be z(-1). Is q(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*3*(-3)\/(-9). Let v = -4 + 2. Which is the closest to -2\/5? (a) 5\/2 (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 17*g**2 + 28*g - 21. Let o(f) = -f**3 - 38*f**2 - 68*f + 129. Let c be o(-36). Calculate j(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.02 - 0.02. Let s = -0.767 - -0.77. Let l = s - 0.003. Which is smaller: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)*b)**(-43)*(b**4)**(-1\/6) assuming b is positive.\nAnswer: b**(-653\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -7*k**2. Let r be 3 + 0 + (-425)\/(-5). Let y(p) = 94*p**2 + r*p**2 - 185*p**2. Determine f(y(n)).\nAnswer: -63*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 540 and 430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 3*z**2 - z + 27. Let d(j) = -j**2 + 1. Let w(p) = -2*d(p) + t(p). What is the remainder when w(0) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.2, 0.01932, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*v - 42600 = -97*v - 66*v. Solve -16*s - v = 14*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -1 + 11*h - 3*h - h**2 + 0 - 1. Let z be q(-7). Let w = -58 - z. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -13 + 6 + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7026*m**4 + 2*m + 11712 wrt m?\nAnswer: 28104*m**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhhzx. What is prob of picking 1 z and 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 837*17.\nAnswer: 14229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*d = 9 - 15, 4*n = -d + 20. Suppose 5*s = -l + 96, 4*l + 3*s + 153 = n*l. What is the greatest common factor of 189 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 962533 to the nearest one thousand.\nAnswer: 963000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1083?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 8:08 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312050?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2.01. Let r = 206.66 + -206.96. Sort -4, u, r in ascending order.\nAnswer: -4, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from zpcczmcmhpcczmmpcmzz.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 s, and 1 d when three letters picked without replacement from sdsyssy.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 3*q. Suppose h - 4*h = -q*k + 57, h = 4*k - 9. Let z = -2 - h. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 6, 4, -2 in descending order.\nAnswer: 6, 4, -2, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2088 = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770470 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -110110266.\nAnswer: -13\/110110266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (6 + -16 + 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138 - 220 + 153)*(-5*c**2 + c - c).\nAnswer: 1025*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (48\/12 - -3) + 152 + 2.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*j - 16*j - 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -307 - 1253. Let z = 356 + m. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338965984 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/14*-2)\/(25\/(525\/(-3))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -40*p + 5548. Let k be b(139). Do 17 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72439999?\nAnswer: 29, 2497931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -624*j - 23017. Determine y(-37).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 666 + 6?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + w**2 - 2)*(-4 + 18 - 1)*(-8 + 8 + 3*w) in the form y*w + c*w**3 + d + r*w**2 and give c.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0691 in 5, -1, -0.3, 2\/5, -1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4513*p + 12241*p - 1308*p = 970342 + 651488 for p.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38339179?\nAnswer: 1597, 24007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21158682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.354 - 25. Let z = 0.36 - r. What is z rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1102 + -122223?\nAnswer: -123331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12210021 - 2121022?\nAnswer: -22101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53746640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8164 and 49244.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-1*(-2 - -4)). Let s = -71 + 74.94. Let w = s - -0.06. What is the second biggest value in w, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1369 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: Let y = 2 - 1. Let d be 0 - (5\/y - -1). Is 4\/d + 154\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by -19\nAnswer: 43\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4307*r + 4308*r + b - 3, -7*r + 1 + 9 = -4*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.8 + 0.2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5148876839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -46847, -93961, -141333, -188963, -236851, -284997?\n\"Answer: -129*w**2 - 46727*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -57*a - 32. Suppose 0 = i - 2*v - 12, 2*v = -5*i + 4*v + 28. Let g(s) = -29*s - 17. Let d(y) = i*b(y) - 9*g(y). Differentiate d(o) with respect to o.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 100?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -22.\nAnswer: -13\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50295 (base 10) in base 2?\nAnswer: 1100010001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -14*(-22)\/60 + 6\/(-45). Sort g, 10, 4 in ascending order.\nAnswer: 4, g, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 21 = 10*a, 2063*v - 28 = a + 2059*v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 746 - (-4 + (-3 - -10)). Let b = -307 + x. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 63. Let r be 180\/9 - -3*c\/6. Suppose 29*h - r*h = 100. Solve -z - h = -6*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/12)\/((-2431)\/66 + 36).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 99888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-9))\/(18\/9)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 23*q + 55. Determine a(-22).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*u + 90*u = -2*z - 5, u = 4*z + 37 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.8 + -2. Let u = 1 - 1. Sort -1\/7, c, u.\nAnswer: c, -1\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5607\/1602 + (-2)\/(-8)*-74.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((6\/10)\/((-4)\/(-5))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34 + 2?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1153 rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -411033 - 1?\nAnswer: -411034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-5 + 1)) + -1 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -6.9256.\nAnswer: 15.9256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-21)*6\/(-4)*-2. Let x = -2.49 - -0.29. What is the third smallest value in a, -1, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -273 + 319. What is the remainder when 1 + 408\/(6\/2) is divided by c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 7:53 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q + 3\/2*q**3 + 0 + 15*q**2 + 1\/24*q**4. Give h(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**2 + 12. Give p(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 10:52 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + w + 3*w)*(2*w**3 + w**3 - w**3 + (2*w**2 + 2*w**2 - 2*w**2)*(0*w + 2*w - 3*w) + w**3 - 2*w**3 + 0*w**3) + 2329491*w - 831*w**4 - 2329491*w.\nAnswer: -832*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, k: 1, d: 4, a: 4, y: 7}. What is prob of sequence dkv?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272322 and 1886.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**7\/2520 + n**6\/240 - n**4\/2 - 2*n**2. Let t(f) be the second derivative of h(f). Determine t(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7074678000 to the nearest one million.\nAnswer: -7075000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 228 divided by 18824\nAnswer: 57\/4706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 531013080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2. Let k(f) = 63323367*f**2. Give v(k(i)).\nAnswer: 4009848808216689*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 4, l: 6}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 154*d - 158*d + 2, 14 = -i + 3*d. What is the greatest common divisor of i and 8290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - 1 - ((-39)\/(-9) - 2). Let w = -5 - -3. What is the third biggest value in w, -0.04, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(160))\/(sqrt(5) + 1*sqrt(180)).\nAnswer: 4*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6174 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/7 of a week in minutes?\nAnswer: 15840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from lbbbleebd.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 463, 868, 1203, 1432, 1519, 1428?\n\"Answer: -6*g**3 + g**2 + 444*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q = -26*q - 15. Let g = 50 - 50. Let l be (-48)\/80*(g - q). Solve 0 = 2*p - l*j + 5, 5*p - j + 1 = 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -548983 take away 5182.2?\nAnswer: -554165.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5335 - 10?\nAnswer: -5345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -194 and 3.262.\nAnswer: -632.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 5*x + 10, 8*x - 3*x + 2*u = 15. Suppose -24 = -4*z + 3*z. What is the units digit of (x - -5)\/(9\/z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 3*c - 9*c. Solve 3*l + c = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173280243.\nAnswer: 3, 109, 313, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.1 - 7.1. Which is the nearest to x? (a) -3\/2 (b) 1 (c) -23 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24, -2, -44, -108, -200, -326, -492, -704?\n\"Answer: -b**3 - 2*b**2 - 13*b + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 - 4*r. Let t(k) = -12 - 9 + 0*k - 2*k + 2. Let m be t(-11). Determine w(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 706 and 22.\nAnswer: 7766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 24 = -2*m, m + 3*m - 28 = 4*w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2154707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 176 - 76. Suppose -3*l - 9 = -5*o + 103, -2*l = -3*o + 68. What is the greatest common divisor of q and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 31*w**4\/6 + 29*w. Let d(p) be the first derivative of -p**3 + 22. Give d(j(b)).\nAnswer: -11532*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 + 39.6. Let w = 4 - u. Let h = 444 + -9322\/21. What is the third biggest value in h, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -6. Suppose 4*r + 2*r - 54 = 0. Solve -n*l - l + r = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*12\/1764*(-14)\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + y = -y, 0 = s + 4*y - 6. Find the third derivative of -10 - 5*i**2 - 12 + 22 + s*i**5 wrt i.\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1624 divided by -28\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 245657 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -93\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, x: 7}. Give prob of sequence xfxf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from dwwpwpwwwuwmwwg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 - 2*u + 2*u + (3*u - u - u)*(4*u**2 - 4 + 4) - u**3 + 3*u**2 - 3*u**2.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7558 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -14*z - 135. Let r(p) = -3*p - 5. Determine -j(g) + 4*r(g).\nAnswer: 2*g + 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -375322 + 1007991. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 522724821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, p: 2, c: 3, e: 2, r: 1, g: 1}. What is prob of sequence ep?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21867*m**2 + 343944*m**2 + 2351*m**2.\nAnswer: 368162*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*b + 105*b**2 + 43*b - 8*b**3 + 1 - 105*b**2 in the form c*b + j*b**3 + g + v*b**2 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 12. Let b be v(10). Suppose 3*z - 715 = -b*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22300424 (base 7) to base 8\nAnswer: 7277333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j - 20, -5*j + 1824 = -4*s. Let t = s - -698. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-5 + 5 + 1 + 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3084261km to centimeters.\nAnswer: 30842.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116 + -115.11. Let y = 1 - w. Let j = y - 0.109806. What is j rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 + 264. Suppose -12*r + 11*r = 3*q - c, -116 = -2*q + 3*r. What is the greatest common divisor of 320 and q?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wowwwwwwd. What is prob of picking 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3814 - 6164. Let r = 265547\/113 + u. Is r < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 140786105*t**2*u**2 + 101*t*u**2 + 60*t*u - 3*t - 5*u**2 + 22*u - 5 wrt t.\nAnswer: 281572210*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 8 = -2*j, -23 + 7 = -4*n. Suppose 2*m - 2*o - 2 = 0, 3*o + j = 6*o. Solve -m*r = -8*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 + 35*i**3 + 205*i**2 + 165*i.\nAnswer: -5*i*(i - 11)*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025704011?\nAnswer: 3, 41, 8339057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 - 11 + 11)*(3*m - 3*m - m**2) + ((-1 + 1 - 2*m)*(-2*m + 3*m - 3*m) + 3*m**2 - 2*m**2 - 2*m**2)*(24*m**2 - 32*m**2 - 89*m**2).\nAnswer: -296*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -93 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-58) + -12*(-188)\/2436.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 3, 3083, -5, 7.\nAnswer: -5, -3, -1, 3, 7, 3083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9*s - 109. What is x(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 374, -1, -4, 0, -3 in descending order.\nAnswer: 374, 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 189 + -93. Is t a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000121 rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*i**3 - 17*b**2*i**2 + 6*b**2*i - b**2 wrt i.\nAnswer: -6*b**2*i - 34*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1380435, -1380406, -1380359, -1380294, -1380211, -1380110?\nAnswer: -1379991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8*c**3 - 51*c**2 - 27*c + 30. Let m(s) = -3*s**3 + 19*s**2 + 9*s - 10. Let b(g) = -4*h(g) - 11*m(g). What is b(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/9))\/w**(-4)*(w**(2\/7))**(11\/3) assuming w is positive.\nAnswer: w**(367\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -325*c**2 + 3*c - 46 wrt c?\nAnswer: -650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 7)*(1 - 1 - 2*c**3).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 7497 and 4597 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 156, 266, 376?\n\"Answer: 110*s + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1264.475347 + -1264.5. What is h rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/4)\/((-12)\/64). Suppose -m - 3*m = -w, -4*t + 4*m = -72. Solve -t = -3*b - b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235591, 1884698, 6360841, 15077536, 29448299, 50886646?\nAnswer: 80806093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 328*s - 2949. Determine x(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m - 7, -4*q - 288 = 2*m - 318 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.4 (c) 363 (d) 79\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-4) + (-13)\/(-52). Suppose o*t - 21 = d, -t - d = -3*d. Calculate the highest common factor of t and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3*m - 721, 0 = 3*y + y - m - 1467. Suppose y - 111 = t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475\/1000*(-128)\/(128\/(-8))?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41 + -b01?\nAnswer: -a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67378 is divided by 885.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 80125 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3439 (b) -2\/5 (c) 7\/4 (d) -0.08 (e) 8\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-10)*184\/(-736)*(-50)\/(-55).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/45*(-7)\/35?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -13. Let c(u) = 4*u - 9. Let p be c(6). Let j be y\/(-15) + 69\/p. Solve -h + j*r + 12 = 0, 5*h + 0*r = -2*r - 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/16*(-62)\/(-4) - ((-586872)\/2496 - -235)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 8*t**2. Let f(w) be the first derivative of -1\/6*w**4 + 10 - 8*w + 0*w**3 + 0*w**2. Let l(q) be the first derivative of f(q). Give z(l(v)).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -659? (a) -1 (b) -0.3 (c) 3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302 a factor of 3445092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5499 - 5486. Solve -6*n = -p - n + 17, -5*p = -n - g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 593838540 divided by -1362015\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 9:07 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2085 + 21592 + 1278 = 161*a. Calculate the remainder when 1712 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3*-1*((2*sqrt(208))**2 - sqrt(208)) - ((sqrt(208)*-2 - sqrt(208)) + sqrt(208))*-3*5)*6 + -1).\nAnswer: -3168*sqrt(13) + 59900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 526000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 154\/(1 + -2) + (-1 - 0). Let w = v - -179. Calculate the remainder when w is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 209 and 76.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 - 46*u**2 - 24. What is k(23)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g - 166. Let k be r(-40). Let n be k*(24\/234)\/(-4). Find i such that n*i**3 + 0 - 2\/13*i**5 + 2\/13*i**4 - 2\/13*i**2 + 0*i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -585 - -1119. Let x = 266 - t. What is x rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {r: 4, x: 6, m: 3, w: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 189 + 29. Let t be (6\/(-5))\/(6\/g). Solve 2*p = 4*p - t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4435 a factor of 268916225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4727722 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -603 + 680.6. Let t = -78 + b. Let r = 26 - 12. What is the smallest value in r, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 6:59 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**5 - 264*q + 152*q**2 + 2*q**5 - 53*q**6 + 264*q wrt q.\nAnswer: -6360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3375753, 3375688, 3375623?\nAnswer: 3375558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -154 + 157. Solve -a*s - 3 = 3*k, -4*s = -0*s + 2*k - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*40\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 45 - 2*q**2 - 8*q**2)*(4*q**3 + q**3 - 2*q**3).\nAnswer: -30*q**5 + 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 4*w + 6, 61*h - 6*w + 0 = 57*h - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 935*x - 1250 = 897*x + 498 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*t. Let p(v) = v + 32. Let d be p(t). Suppose q = m - 141 + 138, 37 = 4*m + q. What is the greatest common divisor of m and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*i - 42*i + a - 134 = 0, 3*i - a = 64. Solve -i*n - 89 + 1 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 4017671?\nAnswer: -4017665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066242 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -543, -511, -479, -447, -415?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.231 + 31.569. Let o = k + -35. Round o to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000025 to 6 decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/7)\/(30\/(-63))*(22165\/390)\/341?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -1373. Suppose 1310 = 4*y - o. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2*1)\/(-1))\/3. Let n = -16 - -16.1. Let j be ((-6)\/(-8))\/(6\/4). Which is the nearest to j? (a) n (b) s (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4408972844?\nAnswer: 2, 1487, 741253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135016 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((288\/1296)\/((-10)\/9))\/(14\/(-4)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131750?\nAnswer: 2, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599806841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 10:53 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c. Let j(i) be the second derivative of -7*i**4\/12 + 3*i. Give x(j(l)).\nAnswer: -35*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -14 + 16 - 12 - 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45331533 a multiple of 909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.501 - 3.501. What is the closest to 2 in 73, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-240)\/84*10\/40.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/6)\/((-3)\/92). Suppose 5*f + s = 4*l, l = -5*f + 14 + 10. Calculate the greatest common factor of 21 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 60*q + 42. Let l(m) = -m**2 + 121*m + 98. Let p(a) = -7*i(a) + 3*l(a). Let u(t) = 44*t. What is p(u(h))?\nAnswer: 7744*h**2 - 2508*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 6*w**2 - 4*w + 7. Let r be s(-5). Let y be 216\/30*45\/27. Suppose r*i - y - 42 = 0. Calculate the remainder when 51 is divided by i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150337*r**4 + 741*r**3 + 166*r**2 - 764128*r?\nAnswer: -3608088*r + 4446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -88 + (230 - 94) + -100?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-7 - -12) - (5 + -5 + -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 22 = 22*k. What is the third derivative of 61*o**5 + 0*o**k + 30*o**5 - 16*o**5 - 3*o**2 wrt o?\nAnswer: 4500*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10) + 17*3\/(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**8\/13440 - 11*c**7\/1680 - 121*c**6\/480 - 37*c**5\/60 - 33*c**2. Let p(i) be the third derivative of w(i). Factor p(s).\nAnswer: -3*(s + 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 1, z: 1, p: 1, m: 1}. Give prob of picking 1 a and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + 4*sqrt(432) + -4 - (2 + 4*sqrt(432))) + (3*sqrt(432)*3*1 + 3)**2.\nAnswer: 660*sqrt(3) + 34995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.689252mm to meters.\nAnswer: 0.007689252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from rrp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 889229359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o**3 + o**2 + 3*o - 2. Let l(c) be the first derivative of -c**3\/3 - 4*c**2 - 14*c - 2. Let t be l(-4). What is the units digit of p(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 89 - 89)*(3 - 3 - 5).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -28*g + 27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 31 - (4 + (-9 - -1 - (-101 + 108)))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e - -2?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3401 - -10423?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 711*v + 37175. Calculate g(49).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 5 - -4) + 3. Let z(d) = 9*d**2 - l*d**2 - 8*d**2 - 5*d**2. Let i(s) = s. What is z(i(g))?\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 8*p**2 + 9*p + 6. Let c be i(9). Suppose 6*u - c = 3*u. Let g(n) = -56 + 56 + u*n. Let a(m) = -m. Calculate -5*a(w) - g(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.77 - -0.23. Let u = -2408 + 24079\/10. Which is the nearest to 0? (a) -4 (b) i (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3835 is divided by 381?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpzzmm. What is prob of sequence pz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 3*a + 1. Let g(w) be the second derivative of -1\/4*w**4 - w**2 - 3*w + 4\/3*w**3 + 0. Suppose q = 2*q - 8. Give q*j(p) + 3*g(p).\nAnswer: -p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f. Let d(m) = -4405*m**2 + 605*m + 1. What is i(d(o))?\nAnswer: -26430*o**2 + 3630*o + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96 by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1972063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65780 and 910?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -28 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71*u**4 + 42*u**4 + 48*u**4 - 131 + 361 with respect to u.\nAnswer: 644*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 288 - 288.000000216. Round i to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, c: 1, o: 1}. Give prob of sequence cvvo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 1606*g + 178 = 1609*g, -5*g - 210 = -5*y. Which is bigger: y or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32963, 65927, 98889, 131849, 164807?\nAnswer: 197763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 5. Let s be g(7). Suppose f = s*l - f - 116, l - 53 = -4*f. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 2*u**2 - 2*u**3 - 5 + 6*u**3 - 12*u - u**4 + 2*u**4 - 2*u**4. Solve w(t) = 0 for t.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117056 + 117080 = 6*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -442400?\nAnswer: 442341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 6660*v**2 - 19971*v.\nAnswer: -v*(v + 3)*(v + 6657)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.562764562 rounded to 5 decimal places?\nAnswer: -0.56276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 125. Let c = -74 - w. Let z = 27 - c. Are z and -1\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(-1 + sqrt(1573))**2 + 0).\nAnswer: -23610 + 330*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5*f*f**(1\/4))\/((f*f*f**(-1\/2)*f)\/(f\/f**(10\/7)*f*f)) assuming f is positive.\nAnswer: f**(149\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/(-10)*2)\/(-9))\/(48\/32*1)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10155961\/2240 + -31736\/7. Find the common denominator of -101\/32 and p.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33688670034 - -0.1.\nAnswer: -33688670033.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/9 - 34*x\/3 + 1036\/9 = 0.\nAnswer: 14, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -875*w**3 + 607*w**3 - 2842*w**3.\nAnswer: -3110*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 225 + -4?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-7 - -3) + 13 - (-92 - (6 - 1)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 - 24*s**2 + 18*s + 17. Determine r(-13).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + 3*f**4 + 2*f**3 + (-2 - 2*f + 2)*(-f**3 + 3*f**3 + 0*f**3) + (3*f**2 + f**2 - f**2)*(4*f**2 - 7*f**2 - 18*f**2).\nAnswer: -64*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30500 = -5*g - 0*g. What is g rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3094743*i**3 - 6132763?\nAnswer: 9284229*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z**2 + z - z.\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*x**2 - 607*x**2 + 412*x**2.\nAnswer: 306*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 3*n + 3*n + (n - n + n)*(-2 + 3 + 0) + 3*n + 0*n - 7*n)*(-13 - 132 - 112).\nAnswer: 1285*n","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3\/4)*z*z)**(1\/71) assuming z is positive.\nAnswer: z**(9\/284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/171? (a) 7 (b) 3 (c) -9.702\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 3)*(x + 12*x - 6*x) + 71 + 22*x - 71 to the form l + z*x and give z.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o - 9. Let k(g) = g. Let a(n) = -5*k(n) - l(n). Let x be a(0). Solve r = 4*r + x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-6) + (-3236)\/(-24).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/21)\/5*1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 37*i + 108. Let j be r(-15). Let t = -3.2 + 2.3. Which is the smallest value? (a) j (b) 9 (c) 0 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1536 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 128049 and -0.4805.\nAnswer: -61527.5445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 83, -5, 5 in ascending order.\nAnswer: -5, 5, 20, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m**3 - m**2 - 3*m - 2. Let k be f(-2). Suppose 7*l - k = 3*l. What is the smallest common multiple of 22 and l?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 + 4*d + d**2 + 14 - 3*d**2 + 5*d**4 + d**3 - 3*d - 7*d**4 in the form i*d**4 + p*d**2 + r + o*d + s*d**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -144 - -144. Suppose -5*t - 25 = p, -t + 29 = 2*a + 272. Do a and -118 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 + 2*k. Let m(t) = 9*t**2 - 5*t - 5. Let r(h) = -14*h**2 + 8*h + 8. Let l(u) = -8*m(u) - 5*r(u). Calculate l(z(s)).\nAnswer: -8*s**4 + 16*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 13, 2 in ascending order.\nAnswer: 1, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 55*u**2 + 68*u + 719. Determine w(-54).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/64))**(-8\/7))**(1\/32))**(3\/4) assuming y is positive.\nAnswer: y**(-3\/7168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than or equal to 16964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*c**4 - 10338*c**3 - 907074*c**2?\nAnswer: 1080*c - 62028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 3*h**3 + 3*h**3 - 3*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -13\/5 (c) 19541\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-8\/5)*v)\/v)\/(v\/v**(-1))*(v\/((v*v**9*v*v)\/v))\/v**(-1\/8))**(5\/6) assuming v is positive.\nAnswer: v**(-539\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**5 - w**3 + 2. Let k(v) = -5*v**5 + 12*v**4 + 16*v**3 - 12*v**2 - 13*v - 4. Let s(l) = -k(l) - 2*q(l). Factor s(c).\nAnswer: c*(c - 13)*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**9\/15120 - p**8\/2240 + p**7\/1260 - 3*p**4\/8 + p**3\/6 - 21*p**2. Let f(z) be the second derivative of n(z). Factor f(l).\nAnswer: l**2*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**5 + 1894*k**4\/3 - 92873*k**3\/3 - 669124*k**2\/3 - 1231228*k\/3 - 218960 = 0 for k.\nAnswer: -4, -14\/9, -1, 102, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 - -89. Let u(b) = 17*b + 27. Is u(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 21*i**3 - 3*i**2 - 3*i**2 + 6*i**2 - 1 + 2*i. Calculate the remainder when p(1) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 107*q**5 - 8*q**2 + 2*q?\nAnswer: 6420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**4*u + 2*i**4 - 975*i**3*u + 2*i**3 - 6*i**2*u + 13*i**2 - 2*i*u wrt i?\nAnswer: -24*i*u + 48*i - 5850*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 509003.4 centuries?\nAnswer: 50900.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/11, -0.41, -3\/29, -16, -12, -0.3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1665703 is divided by 1665697.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 199 = -407. Let y = -346 + g. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 25532*i - 1582945. Determine v(62).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21000 and 625.\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((1243\/(-2))\/((-34)\/68))\/1. What is the smallest value in -4, k, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 8696*k + 112372.\nAnswer: 4*(k - 2161)*(k - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1603 + 1608. Solve -3*x = 5*l - 25 + 2, 0 = 2*x + v*l - 22 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(2736) - (sqrt(2736) + 3))**2 + sqrt(2736))*-3 - 5*(3 + sqrt(2736))**2*-5.\nAnswer: 1764*sqrt(19) + 68583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 10*h**2 - 3*h - 12. Determine v(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1279?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -2 + 4 + 14 + -2 + 263 + -291.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 7*i + 2. Let s(b) = -2*b**2 - 7*b + 1. Let r(o) = 2*s(o) - 3*x(o). Let y be r(6). Let m(c) = -c**3 - 2*c + 3*c - 1 - y*c**2 + c. Give m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 902 + -896. Let t = h - -136.6. Round t to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 66 + (-2009 - -2065)\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2445958 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17022 is divided by 128.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20020 - 120122011?\nAnswer: -120101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 + 9 + (-8 - 85)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50629 is divided by 92?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 518*r - 343*r + 2100 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/12*8\/(-16)*18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 13*f**2 - f. Let k be p(1). Suppose 0 = 5*u - 88 - k. Suppose 3*j + j = u. Solve -3*w + j*d = -37, -4*w - 3*d = -2*d - 11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/37513 and -45\/8.\nAnswer: 300104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v - 92 = -75*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1018*(-2)\/10 - 6\/(-15). Calculate the greatest common divisor of 68 and n.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 11796001 and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -536.38 - 3.62. Let x = -542.21 - k. Which is the second smallest value? (a) -0.1 (b) 1\/9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1307.8 + 1308. What is the third biggest value in o, -222, -0.2?\nAnswer: -222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 - 75756*y\/5 + 75758\/5.\nAnswer: -2*(y - 1)*(y + 37879)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (748\/(-330))\/(8\/(-60))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a centimeter in millimeters?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**3 - 33*r**2 - 11*r - 24. Let k be z(-8). Solve k = m - 0 + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 10) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 68*f = -71*f + 14, 5*z - f = 22. Let s be (-7)\/9 + z\/(2 - -3). Factor -4\/9*p - s*p**2 - 2\/9.\nAnswer: -2*(p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-7)*j*j**(1\/26))\/(j**(-3\/26)\/(j*j\/(j\/(j\/(j*j\/(j\/(j**(-1\/5)*j)*j*j))))*j)))**(2\/27) assuming j is positive.\nAnswer: j**(1606\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -51*l**3 + 2*l**2 + 2*l + 1. Let g be c(-1). Suppose 14*x = x + g. What is the highest common factor of x and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003150966389 to 7 dps.\nAnswer: 0.0003151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 59 (b) 5 (c) 40 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1857, 683, 3223, 5763, 8303, 10843?\n\"Answer: 2540*p - 4397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14566 or -14613?\nAnswer: -14613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 0.9. Let n = 1\/48163 + -48169\/288978. What is the closest to 0.071 in n, -2, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -28*21\/(-56)*38261530\/3. Suppose -6*q - 49075355 + s = 0. Round q to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 + 72. Let j = -105 - u. Let q = j - -109. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -15*c - 199. Let y be x(-15). Suppose -62 = -6*r - y. Let o(b) = -4*b + 0*b**2 + b**2 - 2*b. Give o(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4532175 or -27193055\/6?\nAnswer: -27193055\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 245588 and 4802?\nAnswer: 1719116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 9*h**2. Let f(i) = -2*i**2. Let m be 4*((-24)\/(-72) + 58\/(-12)). Let b = m + 22. Calculate b*j(r) - 18*f(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - q**3 + q**3)*(6 - 2 + 3)*(2 + 3 - 6).\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 52078204 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(1 + sqrt(605)))**2 - sqrt(605)) + -1*(sqrt(35)\/(2*sqrt(7)))**2.\nAnswer: 77*sqrt(5) + 9691\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 287506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 643 + -650. Let j be 16\/(-56)*f + 60. What is the greatest common divisor of 62 and j?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*n - 8468 = 0. Let c = n - 42219\/10. What is the common denominator of 18\/24 - (-171)\/4 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 8 = 5*r, 5*j = 5*r - 205. Let c = -32 + j. Find the common denominator of -91\/10 and (c\/9)\/((-24)\/9).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 81?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - 9.7. Let r = -10 - v. What is the nearest to 4 in r, -5, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -658, -989, -1310, -1621, -1922, -2213, -2494?\nAnswer: -2765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 887454979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16031534.\nAnswer: 2, 1193, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21 - (4 + 0 - -2). Suppose -t*j = -10*j - 160. Which is greater: j or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6446246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, r: 3, u: 1, d: 1, v: 5, l: 1}. What is prob of picking 1 p and 1 d?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3326300 a multiple of 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67997*l**2 - 2*l - 89863 wrt l?\nAnswer: 135994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqgg. Give prob of sequence qqgg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1917, -3544, -6255, -10050?\nAnswer: -14929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)*(n**(1\/8)\/n)\/n)\/(n\/n**(-1)*n)**(-1))\/(n\/((n*n**(-3\/2)\/n)\/n)*n*n*n**5*n\/n**(-4\/5)*n**0) assuming n is positive.\nAnswer: n**(-527\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l + 0*l)*(-2*l + 4 - 4)*(-3 + 7 - 1).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 + 4*d. Let l(o) = 4*o**2 + 3*o + 1. Let k(t) = 5*a(t) - 4*l(t). Calculate k(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 5 = -4*p. Let a(l) = 2*l + 2*l - p*l. Let r(z) = z**2 - z. Let v(i) = 2*a(i) - r(i). Find the second derivative of v(h) wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/247628 and -23\/5991.\nAnswer: 742884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 559*t - 551*t. Let z(r) be the third derivative of t*r + 0 + 14*r**2 - 1\/390*r**5 + 1\/26*r**4 - 3\/13*r**3. Factor z(k).\nAnswer: -2*(k - 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 31*k**2 - 2 + 0 + 9*k - 1 - 30*k**2. What is the remainder when 24 is divided by c(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 5*a**3 - 38720*a**2 + 95250825*a - 72119590110 = 0.\nAnswer: 1462, 3141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2) + 22\/(-22)*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = -9*d + 17*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**2*r - 4318*n**2 - 11*n*r - 8*r with respect to r.\nAnswer: 2*n**2 - 11*n - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 270573035 divided by 54114607?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, j: 3, b: 4, h: 2, w: 6}. Give prob of picking 2 h.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a century?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67d0d (base 16) to base 3.\nAnswer: 210121022020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3836 by -4.\nAnswer: -959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 16. Let w be m(-16). Suppose -b - 17 = -5*d, b - 1 + 3 = w. Put -1, d, -6 in decreasing order.\nAnswer: d, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**21\/j*j)\/(j\/j**(9\/7)) assuming j is positive.\nAnswer: j**(149\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbbbbbzzbzzbzzzbbzb. What is prob of picking 3 b and 1 z?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(363) + sqrt(363))**2 + sqrt(363).\nAnswer: 11*sqrt(3) + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 10\/((-4950)\/(-2519)). Which is the smallest value? (a) r (b) 0.52 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -y, 207*y - 212*y + u = 18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 - 15. What is the common denominator of -23\/42 and 56\/v*40\/(-24)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2983 in 4, -1, -0.4, -0.3, 2\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/64496 and 167\/303108?\nAnswer: 168528048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 1. Suppose 10 = -3*h + 4*j, -h + 3*j = 2*h + 9. Let s(c) = -3*c**2 + 318*c + 325. Let n be s(107). Sort h, o, n.\nAnswer: h, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5. Suppose 2*p = -4*d - 2*p + 204, g = -2*d - p + 107. Let r be ((-2)\/(-4))\/((-7)\/d). Let k(c) = c**3 + 4*c**2 - 2*c - 6. Calculate k(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 - a + 17. Let j(z) = -z**2 + 2*z - 17. Determine -3*j(q) - 4*l(q).\nAnswer: -5*q**2 - 2*q - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h*q*s**3 + h*q*s - 44*h*s**3 - 5901*h*s**2 - 45260*h*s + 4*q*s - s wrt s?\nAnswer: 24*h*q*s - 264*h*s - 11802*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35*i**2 + 1162 - 1162)*(-1 - 1 + 0) to the form u*i + n + j*i**2 and give j.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6)*(-1 + 124). Let a be 43\/(-3) - (-4)\/(-6). Let n = a + x. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4145405933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)*h)\/(((h**(-1\/28)\/h)\/h*h)\/h)*(h\/((h\/((h*h\/(h**(-2\/93)\/h))\/h))\/h)*h)\/h*h\/(h*h**(4\/17)) assuming h is positive.\nAnswer: h**(80653\/44268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 - (57 - -20) - 25.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7336 and 12376.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6149223*c**3 - 12298013*c**3 + 6148792*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/958 + -2123\/66102. Let q = 62 + -62. Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -79000.03 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -25. Let m(h) = 8. Let l(w) = 3*m(w) + x(w). Let b(a) = 4*a - 3. Give b(o) - 4*l(o).\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, e: 15}. Give prob of picking 3 y.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5362*f + 1. Let g(m) = -908*m - 11. Calculate g(q(k)).\nAnswer: 4868696*k - 919","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -195 - -192. Put -3\/38, -0.2, h in decreasing order.\nAnswer: -3\/38, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*q + 6, 2*q + 0*q = c + 8. Let d = c + 4. Let p be (-9)\/(-2)*d\/3. Solve h - 4*l - 8 = p*h, -4*h + 3*l = -6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 0.07 (c) -1 (d) 0.013\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 11 - 13 = 5*o, 0 = -4*h - 4*o. Suppose h*y + 16 = 46. Solve y = -0*n - 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -16*c + 5. Let a(g) = 8*g - 3. Give 7*a(i) + 4*j(i).\nAnswer: -8*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of ((-429)\/15 + 4)\/(3\/(-135))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*r - 5*r + 20*r + 25*r**2 - 39 - 35 with respect to r.\nAnswer: 50*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119729190?\nAnswer: 2, 3, 5, 7, 570139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6579 - -6579. Let p = 0.1 + 5.9. Let u = p + -6.04. What is the smallest value in u, -4, t, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhaeo. Give prob of picking 1 a, 1 o, and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 13 + 12*q + q**3 - 2*q**3 + 9*q**2 - 11*q + 8*q. Let t be v(10). Find y such that -4\/3 + 2*y + 1\/6*y**4 - 1\/3*y**2 - 1\/2*y**t = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4593 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooou when four letters picked without replacement from uuouooouooou.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 26849674 = -0*c - 2*g, -2*c = -2*g - 26849658. Let f = -5154833 + c. Round f to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 minus 2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 56. Let p = -52.9999979 + x. Round p to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 3)*(d - 7 + 7) + (-2 + 8 + 8)*(3*d + d - 3*d) as s + o*d and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 7*u - 6 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 2*r + 0*r)*(-2082 + 2082 + 47*r).\nAnswer: 329*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*j**3 - 7216410*j**2*l**2 + 2*j*l**2 + 2*j*l + 11093*j - 40*l**2 + 12 wrt j.\nAnswer: -132*j - 14432820*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 8*b**6\/3 - 28*b**5\/5 - 78*b**4 - 524*b**3\/3 - 152*b**2 - 48*b - 1115. Determine a, given that z(a) = 0.\nAnswer: -2, -1, -1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 473512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235066 is divided by 58764.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*o, 155 + 9 = 4*b + o. Let r be (-154)\/(-28) - (-1)\/(-2). Calculate the greatest common factor of r and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 5*f**2 + 6*f + 5. Let u be c(6). Suppose u*i + 31 = 3*v + 3*i, -3*v + i + 29 = 0. Suppose 13 = g - 2*y, -28 + 11 = -5*g - 2*y. Sort v, g, 0.\nAnswer: 0, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -13*i + 30, -3*i + 3*x - 6 + 24 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 5 = 7*u - h, -30 = -5*u + 4*h. Suppose -35 = -5*g - 5*f - 0*f, 5*f = 0. Let b(v) = -4*v + 3*v**2 + 4 - g - u*v**2. Determine b(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 543\/4 or -0.1?\nAnswer: 543\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 878*c = 859*c + 57. Solve -12*d = 4*q - 7*d + c, -4*q - 7 = d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 395 - 289. Calculate the remainder when n is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from vyvgvgvygvvv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 3) + 2 - -4. Let w(d) = d + 2. Let c(n) = -8*n - 4*n + 13*n + 2. Let m(x) = -2*x**2 - 2*x + 1. Let p be m(-2). Determine j*c(b) + p*w(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-3)\/189 - (-2)\/7.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 162\/189)\/(120\/35 + -3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idiiawtiiiaiiiqiiiqq. Give prob of picking 2 q.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 i when four letters picked without replacement from ddiiidiidi.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 14*a + 97. Let s(y) = -222*y - 1551. Let g(w) = -33*n(w) - 2*s(w). Is 25 a factor of g(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 3*g**4\/10 + 2*g**3\/15 - 8*g**2\/15 - 8*g\/15 - 16. Factor f(s).\nAnswer: 2*(s - 1)*(3*s + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248, 252, 256, 260, 264?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -20. Let a(f) = -r*f - 9*f + 3*f. Let u = 935 - 936. Give a(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11667\/370 + -6\/185. What is the common denominator of i and (345\/(-35))\/(8\/(-7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 9:04 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28764789?\nAnswer: 3, 23, 416881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4726 - -3294. Let f be t - 0 - (-5 + 10). Calculate the common denominator of -27\/10 and (-2 - -5) + (f\/252 - -3).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -509, 19\/10, -3 in decreasing order.\nAnswer: 19\/10, 1\/2, -3, -509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2768 - -2776. What is the second biggest value in 5, z, -4, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7980 and 1426740?\nAnswer: 27108060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 381640250 and -0.2.\nAnswer: -76328050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21120100 (base 3) in base 8?\nAnswer: 12615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*t = 229*t + 54. Calculate the greatest common divisor of t and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*v**4 - 38*v**2 + 38*v**4 - 10*v**2 + 40*v**4 wrt v.\nAnswer: 1104*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/(l\/((l*l**(-2\/33))\/l))*l)\/l*l*l**30*l**(-3\/13)\/(l\/((l\/(l\/(l*l*l**(-31)*l)))\/l)))**6 assuming l is positive.\nAnswer: l**(2324\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -2*(-76)\/136\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + j**2 - 13*j + 6. Let n be l(7). Let i = -127 - n. What is the remainder when i is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 12. Let t = u - -4. Suppose 5*g = 13 + t. Solve -1 = -3*m - 3*c + 2, 0 = -g*m - c - 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (sqrt(102) + sqrt(102)*1)*3)\/((-1*sqrt(42))\/sqrt(7)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 3:56 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 659 + -599. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qka when three letters picked without replacement from gqaqkgqqabqgqqkg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.04 (b) 3 (c) 0.5 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cb + -5?\nAnswer: c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 1 = 2*v + 1, -10 = -5*j + v. Let f be j\/2*(5 + -3). Solve f = -4*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1125084 by -3.\nAnswer: -375028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/2 (b) 2\/13 (c) 0 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.7060255nm?\nAnswer: 0.0000000007060255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9 times 0.465?\nAnswer: 1.8135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33184.\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.31 (c) 2 (d) -1727\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2437 - 2401. Solve -k*j + 40*j = 24 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1536 from 207.09672.\nAnswer: -1328.90328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*r**6 - 52*r**5 - 702542*r**2.\nAnswer: -5880*r**3 - 3120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201 and 94604.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + v = 88, -g - v + 49 = 2*v. Suppose 5*b + 156 = 31. Let a = g + b. What is the lowest common multiple of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 12*r = 65. Let x = -69 + r. Let w(s) = -2*s**2 + s. Let g be w(1). Put 4, g, x in decreasing order.\nAnswer: 4, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 779 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*i - l - l, 0 = 5*l. Suppose -4*c - 44 = -8*c + 3*t, -2*t = -2*c + i. Solve -2*d = -q - 6*d + 20, 4*d - c = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/66 and -155\/78.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438 = 5*x + 1233. Let v = x + 169. Calculate the remainder when 58 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 4*o - 3. Let u be x(-3). Let n = 42 + u. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123855 * 42.3\nAnswer: -5239066.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47\/34 - 2\/17. Which is the second smallest value? (a) 0.1 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-96)\/1080)\/((-2)\/(-5)). Is d bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*m - 728 = -108*m + 394. Solve m*c = 4*s + 8*c + 18, -5*s = 5*c + 15 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 105491825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*z - 6. Differentiate 0*j**3 - z - 7 - 2*j**3 + 9*j**3 wrt j.\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-2\/27)*c*c))**(12\/7) assuming c is positive.\nAnswer: c**(-208\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -260*i**3\/3 - 273. Let m(r) = 20*r**2. Determine g(m(v)).\nAnswer: -104000*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/21)\/(21\/288))\/((-2)\/(-7))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 856. Let d(v) = -27104*v. Determine d(h(q)).\nAnswer: -27104*q - 23201024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.10144, 2.3, -0.4, -2\/3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*n - 100294 = -95974 for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 12*m - 8. Let c be w(-13). Suppose 6 = c*r - 4. Is (-1 - -2) + 76 + r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.78*-447\nAnswer: -1242.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 2049?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8950713, 17901419, 26852125?\n\"Answer: 8950706*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/21)\/(50\/35)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 104568 + -5?\nAnswer: 104563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1330459, -2660920, -3991381, -5321842?\n\"Answer: -1330461*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*d - 24*d - 1230 = 0 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113 - 311. Let x = r - -198.512. Round x to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, g: 2}. What is prob of picking 2 v?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15444, 5, -7, -20, 1, 0 in increasing order.\nAnswer: -15444, -20, -7, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4 (b) -12\/7 (c) -49 (d) 0 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (-3 - (1 - 0)). Suppose h = -2*q + 7*q - 60. Solve 3*x + q = -0*m + 3*m, 3*m - 16 = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10168 - -46168. What is q rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16, 16, 20, 28, 40?\n\"Answer: 2*g**2 - 6*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/6, -1.621, 2\/5, -2?\nAnswer: -1.621","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 590431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25438 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k = 7*c + 1441 - 1456, 2*c + 0*k - 9 = -k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + 118*m + 266. Let i be s(63). Let u(g) = 31*g**3 - 3*g - 3. Let x(a) = -2448*a**3 + 238*a + 238. Give i*u(c) - 3*x(c).\nAnswer: -34*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 10:25 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/(-1615) - (2*(-2)\/(-798))\/(15\/1505)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 14 - 30. Suppose 3*x = -f - 72, 4*f + 45 = -3*x - 36. Let h = 54 - x. Calculate the greatest common divisor of i and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3361 + 3412. Suppose 20 + 30 = 4*m - s, -s - 37 = -3*m. What is the remainder when x is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 23. Suppose 2*s - 3 = 3*z, 0*z + 5*s + 3 = -y*z. What is the biggest value in z, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64.131 + -0.131. Let z = 63.7 - q. Which is the third smallest value? (a) 0 (b) -1 (c) z (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10) + (-188)\/(-20). Suppose 5*c + g - 89 = 4*g, g = -4*c + 61. Suppose 5*z = n*z + c. Let a(l) = 2*l + 4. Determine a(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3373 is divided by 1089?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9654 divided by 3?\nAnswer: -3218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 132*j - 888 - 1092 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-6)*((-3276)\/(-105))\/(-13). Solve -g - 2*u + 5 = l, -17 = 5*g - u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202122 divided by 18\nAnswer: -11229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 19*q**4\/6 + q**3\/6 - q**2\/2 + 2*q. Suppose 5*v + 0 + 10 = 0. Is i(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/6776 and 101\/600.\nAnswer: 508200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7233840 by 102.\nAnswer: 70920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkfkokofkkookfkoo. What is prob of picking 1 f and 2 o?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-6) + (-2)\/(-3). Let p be -4*t\/(-25)*(-50)\/40. Factor -p*b**2 + 8\/5*b - 8\/5.\nAnswer: -2*(b - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0, 0.05, 22\/3.\nAnswer: -5, -4, 0, 0.05, 22\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3 + (2 - 1 + 1)*(1 - 1 - 2))*(-1 + a + 1)*(5*a + a - 5*a).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514497 is divided by 84574?\nAnswer: 7053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (56\/12)\/((-8)\/84). Let m = -33 - u. Suppose 4*p = f + 15, p - 3*f = 6*p - 23. Solve 36 = -p*k + m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2861 + -2861. Which is the closest to v? (a) 1 (b) -16 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 2614275282.\nAnswer: 2614275287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: b\"What is the mth term of -12837, -51521, -116031, -206361, -322505?\n\"Answer: m**3 - 12919*m**2 + 66*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, l: 9, s: 8}. What is prob of picking 1 s and 2 f?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 101194 to the nearest 100.\nAnswer: 101200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (35\/50)\/(2\/5). Let s = b - 43\/20. Let r = 2\/15 - -4\/45. Put 3, r, s in decreasing order.\nAnswer: 3, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1606\/511)\/22 + (-38)\/364\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 141*k - 3. Let d(n) be the second derivative of -n**4\/6 + n - 131. What is d(j(a))?\nAnswer: -39762*a**2 + 1692*a - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24483017?\nAnswer: 13, 23, 81883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4117*p + 1267*p - 145368 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -29*j + 286. What is the remainder when 59 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60831954788 - 1463?\nAnswer: 60831953325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 6. Suppose 4*c - 6 = p, 4*p + r*c - 10 = p. Let n(h) = 3*h + h**3 - 6*h**2 + h - 3 + 4*h**2. Determine n(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/(-2)*(-5 + 3). Suppose r*m + m = 5*m. Suppose m = 11*f - 632 - 809. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -163*a - 216. What is the remainder when 454 is divided by q(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 6:02 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -48, 3, -2\/25, -0.15, 1\/3?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*y + 5, -x + 2 = 2*y + 11. Let u = -6 + 11. Sort -4, u, x in increasing order.\nAnswer: x, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/8*10\/(-25)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/8, 1\/4, 4 in increasing order.\nAnswer: -2, 1\/4, 3\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7016 (base 9) to base 5.\nAnswer: -130433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 39?\nAnswer: -15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (22\/33)\/(2\/(-15)). Suppose -c = 2*m - 44 - 489, 5*m - 1334 = -2*c. Let a = f + m. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -26. Let c = r + 46. Suppose q - 97 = -5*x + 2*x, 2*x = 2*q + c. What is x rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 274958 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (-8)\/(-20)*5. Suppose 0 = -x*v + 5*v - 15. Suppose -2*a + 2*f - 2 = -8, v*a - 3 = f. Solve 4*t - 20 = -a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1697569 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h**3 - 49 + 25 + 24.\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4630, 4795, 5122, 5611, 6262, 7075?\n\"Answer: 81*j**2 - 78*j + 4627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2\/11 - 7588*r\/11 + 2058000\/11 = 0. Calculate r.\nAnswer: 294, 3500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -65182472 divided by -1208?\nAnswer: 53959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 2*t + 5*t)*(38*t**3 + 335*t**3 + 328*t**3).\nAnswer: 2103*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -9. Sort 2, y, -3\/4 in descending order.\nAnswer: 2, -3\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7653*b**4*j**3 + 784*b**2*j**3 + b**2*j**2 + 1 wrt b.\nAnswer: 183672*b*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 43*u**5 - 6*u**2 + 11*u + 87. What is the second derivative of x(t) wrt t?\nAnswer: 2580*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1329 and 53226.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2569 + -2587. Is n smaller than -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234494857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4107 - -4112. Sort 1\/3, 0, b, 0.01, 1 in ascending order.\nAnswer: 0, 0.01, 1\/3, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1558457800 is divided by 1199.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/3)\/(11\/(-33))*12. Suppose 4*l - p = -3*a, 2*l + 1 = -4*a - 3. Solve 2 = -2*i + 2*z - 6, i = 2*z - l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 119*g**2 - 49*g - 49. Suppose 77*h = -495 + 33. Let x(o) = 15*o**2 - 6*o - 6. Give h*c(v) + 49*x(v).\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 60462 = -7*f, 7*r - 8*r = -3*f - 60512. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-4))\/(4\/6). Let z = 0.7 + -0.4. Let j = 8357 + -8357.4. Which is the nearest to 0.1? (a) k (b) j (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100708507?\nAnswer: 107, 941201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00077983 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1394? (a) -0.3 (b) 0.5 (c) 17.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 1, -5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5215 rounded to the nearest one hundred?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*b**2 + b + b**3 - 11407 - 10*b**2 + 0*b**2.\nAnswer: b**3 - 47*b**2 + b - 11407","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 584125573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-366)\/(-16) + (45\/(-24) - -2). Find the first derivative of h**2 - 2 - 17*h**2 - w - 4*h**2 wrt h.\nAnswer: -40*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (39\/(-2))\/((-33)\/3476). Suppose -18*m = -5*m - d. List the prime factors of m.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 11:12 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480 = -479*y + 463*y for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 1 + 26*u**5 - 6 + (-3*u + 4*u - 3*u)*(-6*u**4 - 4*u**4 - 2*u**4).\nAnswer: 50*u**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431873086.\nAnswer: 2, 215936543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138 - 45. Let m(d) = -5*d**2 - 9*d - 17. Let y be m(-3). Let l be (-28)\/y - s\/(-15). Solve -3*u = l - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -49, -105, -175, -265, -381, -529, -715, -945?\n\"Answer: -z**3 - z**2 - 46*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 3*k - 1 = 0, -2*j + 5 = k + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Let j be (-6)\/(-8)*1\/(-3). What is the biggest value in j, -3\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, c: 8, y: 1, j: 3, n: 1, a: 5}. Give prob of picking 1 y, 2 c, and 1 u.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.675126l?\nAnswer: 8675.126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 3 + 1 + -50. Let o(a) = 7*a + 319. Calculate the remainder when 106 is divided by o(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 4. Let v be r(-11). Suppose -k - v*k = -24. What is the third derivative of -m**2 - 3*m**k - m**4 + 0*m**4 + 3*m**3 wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -6.5. Which is the third smallest value? (a) -0.2 (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/18*2220\/(-25))\/((-64)\/40)\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(171) - 2*sqrt(171))*6)\/(sqrt(90)\/(sqrt(490)*-6)).\nAnswer: 1008*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 11*w**2 - 1. Let x be (-6)\/(-21) + 63\/(-49). Calculate u(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 2. Let l(z) = -2*z - 1. Let j(w) = -3*l(w) + 4*y(w). Let s be j(4). Calculate the greatest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 137*s**3 + s**2 - 1. Let c be x(1). Let j = c - 221. Let n be 2\/12 + (-322)\/j. Solve n*v + 4 = 2*t, -2*v + t - 8 = 3*t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2 = -9*g + 7*g, 4*s = -4*g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 7 + 2 = -4*w, 0 = 2*w - 2*l. Let f be (6\/(-4))\/((-6)\/8). Suppose -2*m - 6 = -z, 3*z - w*z + f*m + 12 = 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 15) to base 14\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -5. What is the tens digit of 170\/15 - f\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)*i*i)**(1\/76) assuming i is positive.\nAnswer: i**(2\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.0417116 (b) 4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/7 + 2883*l\/7 + 632574\/7.\nAnswer: 3*(l + 339)*(l + 622)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooaoooo. Give prob of picking 3 o.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15\/29 + 162\/145. What is the biggest value in y, -0.4, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 3*q + 16, -2*q = -2*f - 4*q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + -2*sqrt(3078) + sqrt(38))\/(sqrt(8)\/sqrt(256)))**2.\nAnswer: 311296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 6*g**2 + 2*g - 2. Let n = -161 - -165. Give w(n).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7380 and 4626.\nAnswer: 1896660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 504479*z**3 - 2*z**2 + 3066*z - 127 wrt z.\nAnswer: 3026874*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 44? (a) 29 (b) -5 (c) 8 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255066826 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: Is 83855625 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/(-13) + (92\/(-26))\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5 + 4 + o - 6. Let y be (-45 + 45)*(2 + 3\/(-2)). Calculate the smallest common multiple of 1 and v(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1013 - 1054 - 48780*c + 2069 + (-3 + 3 + c)*(3 - 3 - 2) in the form r*c + i and give r.\nAnswer: -48782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -24171.\nAnswer: -24166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -44?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/420 and 209\/420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -252*f - 1021. Determine s(-5).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0 = -2*f - 8, -8 = -d + 2*f. Let v = -7.61 - -5.61. Which is the closest to v? (a) 1 (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b1d (base 15) to base 16.\nAnswer: 9c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -2. Let k = 1 + -7. Let v be (2\/(-20))\/(k\/(-15)). Which is the nearest to v? (a) -2\/9 (b) 1\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20828 * -580.6.\nAnswer: 12092736.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/238 and 26\/77.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 14646*w**2 + 7*w - 1. Let j be q(4). Suppose j = 5*y + 75363. Round y to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 - -73.862. Let q = o + 1.178. Round q to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 1, r: 1, n: 2, h: 1, m: 1}. Give prob of sequence rm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(0*n**4 + 4*n**4 - 5*n**4) + 2*n**3 - 2*n**3 + 3*n**4 - 13*n**4 + 12*n**4 - 11*n**4.\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 63.2, 2 in increasing order.\nAnswer: -3\/4, 2, 63.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4*j + b + 3, 0 = -4*j - b + 12. Solve j*s - 14 = 4*f, 0*s - 12 = 2*f - 4*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 - 5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105989690*s**5 + 2*s**2 + 125583367*s?\nAnswer: 2119793800*s**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/3 and -76\/165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342905169 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 382, 5, 4, 0, 3 in decreasing order.\nAnswer: 382, 5, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -54*p**4 - 12069*p**3 - 548163*p**2\/2 - 8718031*p\/4 - 23412151\/4 = 0.\nAnswer: -199, -49\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 108. Suppose -5*s + u + 135 = 0, -2*s - 2*u - 2*u + x = 0. Let f = 0 + 4. Calculate the highest common divisor of s and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3369 - -33.0841.\nAnswer: 30.7472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/246 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 13 = -7*r, n = 6*r - 4*r - 13. Let a = 7 - 5. What is the second smallest value in n, a, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04998 times 1395.5?\nAnswer: -69.74709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 - 36?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/45)\/((-16)\/(-60)))\/((-11)\/(-66)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 3. Let s(n) = -4*n + 6. Let w(h) = -h + 2. Let c(l) = -2*s(l) + 7*w(l). Let p(b) = -3*c(b) + 2*g(b). Determine p(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.70458 kilograms to milligrams.\nAnswer: 704580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((1 - 3)\/1)\/(-1). Let l = 6 - h. What is the second derivative of 4*m**4 + m**l - 3*m**4 + 2*m wrt m?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7951297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 154 + -153.8. What is the third biggest value in -0.03, 0.3, v?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = -2*x. Let h = 430 + -338. Suppose 78*g - 32*g = -h. Put g, -5, x, -6 in descending order.\nAnswer: x, g, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/5 + 34032*t\/5 + 144772128\/5.\nAnswer: 2*(t + 8508)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 27*l + 7*l. Let j be (l\/(-14))\/((-34)\/2618). Calculate the highest common divisor of 154 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8587 divide 3122797387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 137942 and 118?\nAnswer: 137942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + k**4)*(164 + 78*k - 31*k - 46*k).\nAnswer: k**5 + 164*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1 - 0\/(-1)). Suppose f = -5*a - 4 + 9. Is a + 352\/(4 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -320314?\nAnswer: -320305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**3 + 20*f**3 - 9*f**3 + 323.\nAnswer: f**3 + 323","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**7\/30 - 11*w**5\/15 + 187*w**3\/3 - 466*w**2. What is the first derivative of i(k) wrt k?\nAnswer: 28*k**3 - 88*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 56 - 56)*((-1 - 3 + 2)*(-1 - s + 1) + 3*s - 2*s + 0*s) + (s + 2*s - 5*s)*(11 - 11 - s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 44 = -3*u + 56, u + 3*g - 4 = 0. Let h(o) be the third derivative of 0 + 23*o**2 + 0*o**3 + 1\/8*o**u + 0*o + 1\/20*o**5. Find p such that h(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m = -19*m + 43*m - 18 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -5. Let o be c - -8*(-3)\/(-3). Find the first derivative of 3 + 0 + o*v**4 - 5*v**4 wrt v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - -146) + -3 + -26 + -21?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1020*a**3 - 1340*a**2.\nAnswer: -6120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*j + 218*j - 41*j in the form g*j + h and give g.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3418 and 4.\nAnswer: 13672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**7\/840 + q**6\/240 - q**5\/240 + 27*q**2. Factor h(y).\nAnswer: -y**2*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/1458 and 25\/33.\nAnswer: 16038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/36)\/((-4392)\/103761).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 307856 divided by -1.\nAnswer: -307856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-3)*(-2475)\/(-12). What is l rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 119*w - 7*w - 111*w + 9*w**2. Let p(x) = -x**2 - x. Let k(q) = -2*q**2 - 3*q. Let o(m) = -k(m) + 3*p(m). Calculate o(f(a)).\nAnswer: -81*a**4 - 18*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 2:42 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 1116*l + 70553. Calculate x(-60).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 4*g**2 - 4*g - 11. Determine u(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4776, -3, -43.\nAnswer: -4776, -43, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -4. Let v be z\/6*15\/(-20). Sort -0.2, v, -4 in descending order.\nAnswer: -0.2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28, -97, -210, -367?\n\"Answer: -22*a**2 - 3*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -272 - -292. Suppose 20*b + s = 30*b. Solve -3*q = b*q + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*p + 75*p - 284*p)*(0*p + 0*p - 2*p**2).\nAnswer: 510*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.89 - -8.91. Let z = k - 9.3. Sort 2, z, 1\/7 in decreasing order.\nAnswer: 2, z, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -2 (b) -2\/3 (c) -5 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7107, -7021, -6881, -6687, -6439, -6137, -5781?\n\"Answer: 27*m**2 + 5*m - 7139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42610 + 16841 = 72*v + 894*v + 19845 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22851119 or -22851118?\nAnswer: -22851118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 - -184. Let u = 121 - p. Solve -14 = -u*a - 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 12497, 5, -0.4?\nAnswer: 12497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 702\/5 + -140. Let x = -7.93 - 0.07. What is the nearest to 0.1 in -3, c, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 11*c + 2. Let i be d(12). Solve i = -0*r + 5*r + 3*q, -2*r = -q - 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*f**3*v**3 - 734*f**3*v**2 - 3*f**3*v - f**2*v**3 + 2*f**2*v - 4896*f*v**4 - 2*f + 3*v**2 wrt v.\nAnswer: 78*f**3 - 6*f**2 - 117504*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1190 = 3*i - i, 3*l + 2959 = 5*i. Suppose i = 3*h + 20. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 8. Let b be t(-4). Suppose -4*y - b*r = -84, -4*y - 7 + 91 = 3*r. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 133*c + 828. Give u(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -3*q**2\/2 - 4. Let k(x) = -2*x - 6. Let z be k(-4). Let n(w) = -2*w**z - w**2 + w**2. Calculate j(n(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -15*g - 22 + 148. Let p be 2\/(-1)*1 + 5. Solve o = g - p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15, 22, 23, 24, 31, 50, 87?\n\"Answer: q**3 - 9*q**2 + 27*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 9710190 + 9710190 - m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17154.5 + 17155. What is the third biggest value in y, 0.1, 564, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/6275 (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 times 2?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - 2159696 + 4320127 - 2160431.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141019883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*3*sqrt(133) + sqrt(133))*-4)\/((sqrt(21)\/(sqrt(3)*2) + sqrt(7))*-1))**2.\nAnswer: 30400\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2441*x - 8080*x + 535315 = 4094*x for x.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 34, 100, 214, 388, 634?\nAnswer: 964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 2 = -2*q, 3*s - 6*s + 21 = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 11*f**2 + 29*f - 26. Is h(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + n - 48752 = -0*y, 4*y - 5*n = 64990. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 6*f**2 - 16*f + 4. Give y(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8865 is divided by 295?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-342)\/(-18 - 0) - -18918 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 1:52 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 52 and -44.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:14 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -534*x + 535*x - 284 = -67*g, -3*g = -12 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 41491781 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, -12, -116, -308, -618, -1076?\nAnswer: -1712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + -1 + sqrt(11) - sqrt(11))**2 + -2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2288.92 or 1?\nAnswer: -2288.92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -345.24112 take away -17?\nAnswer: -328.24112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.01471kg in nanograms?\nAnswer: 84014710000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2274880 by 5.\nAnswer: -454976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-53391)\/(-91) + (-2)\/(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400734733?\nAnswer: 7, 57247819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(450))**2.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**3 + 365*r**2 - 5845*r + 21315 = 0. What is r?\nAnswer: -87, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13455 - -282640\/21. What is the common denominator of f and -45\/2653?\nAnswer: 7959","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -769 less than -1122014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9468 is divided by 79?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 10*w**2 - 2 - 19*w**2 + 16*w**2 + 1. What is s(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 1:05 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {j: 4, y: 6}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*y + 19, -5*y - 4*p + 24 = -y. Suppose -2*w = -5*o + 15, y*o + 4*w - 5 = -20. Let u(c) = -25*c**3 + 2*c - 1. Give u(o).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167 divided by -1445.\nAnswer: 167\/1445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.027, -4, -3\/5, 0.3?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(209) - -1*sqrt(209))*-4 + (-4*sqrt(209)*2 - sqrt(209)))\/((sqrt(55) + -6*sqrt(55)*2)\/sqrt(5)).\nAnswer: 3 + 17*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/((-160)\/(-15)) + 27\/(-8). Let x(y) = -y - 2. Let j(k) = -k**3 + 6*k**2 - 6*k + 7. Let p be j(5). Let c be x(p). Put 1, c, m in descending order.\nAnswer: 1, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 443 = -3*p, -202 - 357 = -4*p - t. Let l = 28 - p. Let r = l + 180. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*p - 11, -12 = -3*s - 5*p + 6. Let m be (2 - s) + 72\/(-63). Let f = -0.6 - -0.5. Which is the closest to f? (a) 2 (b) m (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -6 + 1 - ((14 - -12) + -20).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-2)\/(-28)*(-70)\/(-360)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 776377, 1552976, 2329575, 3106174, 3882773?\n\"Answer: 776599*p - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18269\/4985 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 44?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbbtbtbbbb. What is prob of sequence btb?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 1. Suppose -3*t - d = -4, t = -0*t - 4*d + 5. Let k(p) = 15*p**3 + 4*p**2 + 12. Let z(m) = t*k(m) - 4*l(m). Differentiate z(r) wrt r.\nAnswer: 45*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -10*v + 6. Suppose -2*a + 5*a = -6. Let o(h) be the third derivative of -h**4\/12 + h**3\/6 + 62*h**2. Calculate a*u(c) + 11*o(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05794 rounded to 3 dps?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllll. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - -2*sqrt(325))**2 + -3.\nAnswer: 2922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 3 = -5*y - 11, -3*y + 2*j - 20 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5841905 millilitres?\nAnswer: 0.0005841905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(152)*1 + sqrt(152) - sqrt(152) - (sqrt(152) - 2*-1*sqrt(152)))\/((sqrt(384)\/sqrt(72))\/((sqrt(66) - sqrt(66)*-1)\/sqrt(11))).\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 1\/120*k**6 + 0*k + 1\/2*k**3 - 7*k**2 + 0 + 0*k**4 - 1\/60*k**5. Let y be u(0). Sort 2, 7, y in descending order.\nAnswer: 7, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29709 - -29729. Solve 31*l - 21*l = v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 6:14 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p - 27. Let b(z) = 92*z - 349*z + 90*z + 77*z - 53 + 93*z. Give -4*b(r) + 7*c(r).\nAnswer: 2*r + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 5*n**2 + 10*n - 24. Let y be q(-7). Suppose y*o = -7*o + 11242. Is 41 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24900000 to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r - 145962 = -r. Let h = r + 17077. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30793 - 30802 - 37912*q**4 + 61595)*(-2 - 4 + 5).\nAnswer: 37912*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (0 + 4 - (-7 - -4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-91)\/(-364))\/(3\/(-6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**4 - g + 35*g**2 - 2*g**4 - 4*g**4 - 4*g**4 + 2 + 7*g**4 in the form x + a*g**2 + n*g**3 + h*g + u*g**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/112)\/((-2)\/(762\/(-9))). Let w = -17\/8 + m. Which is the closest to w? (a) 5 (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.022? (a) -1 (b) 1 (c) 1\/26 (d) -12\/5 (e) -2\/5 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 0*z**3 + 0*z**2 + 0*z**5 + 0 - 245\/12*z**4 + 41*z - 39\/10*z**6. What is the third derivative of k(t) wrt t?\nAnswer: -2808*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3 + 3712*s**2 - 7430*s + 3716 = 0 for s.\nAnswer: -1858, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 478, -1, 7653.\nAnswer: -1, 478, 7653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 308 + 26. Let f = r + -230. Let s = -72 + f. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 9*x + 6. Let f be s(7). Suppose -4*r = -2*n + 33 + 85, 4*n - f = 0. Let w = r + 55\/2. Put -3\/4, w, 0.4 in descending order.\nAnswer: w, 0.4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 570*u**2 + 568*u - 11. Let z(n) = 285*n**2 + 288*n - 5. Let s(c) = -6*v(c) + 13*z(c). What is the second derivative of s(m) wrt m?\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7013*a = -7021*a + 14031*a - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 5 - 0 - 166. Let g = z - -347. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*k**2 - 171*k**2 + 2 + 200*k**2.\nAnswer: 185*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z**2 - 5*z - 6. Let s be p(-1). Suppose -3*x + 4*x = 24. Suppose -4*g + 8 = -x. Sort -5, -3, s, g in ascending order.\nAnswer: -5, -3, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42306 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 = 705 - 482. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678030225.\nAnswer: 3, 5, 23, 47, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-1176)*2\/(24\/28).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 312*r + 8 + 357*r.\nAnswer: 45*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9*(-1)\/39*13. Solve 2*b - f + 8 - 4 = 0, -x*f + 3 = -3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 9) to base 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 14\/3)\/((-416)\/(-96))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 f, and 1 q when three letters picked without replacement from lfqfss?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008887 to 6 dps.\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441897?\nAnswer: 3, 147299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47767 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1933\/84 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0 - 4 = 0. Suppose 0 = -d*h + 4, -a - 211 = -5*a + 5*h. What is the highest common divisor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 10510?\nAnswer: 10511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 5. Let j = 8.7 + q. Sort j, -1\/3, -0.5 in ascending order.\nAnswer: -0.5, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5531, -37 in increasing order.\nAnswer: -5531, -37, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 143730161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2*-24454\nAnswer: -48908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-324)\/(-3)*1 + -2)\/2 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1839.8 to the nearest ten.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-204*m**3 + 21*m**4 + 204*m**3)*(-3 - 3 - 7 + 10) to v*m**2 + h*m**3 + y + g*m**4 + w*m and give g.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -n - 12, 3*n = -4*d + 2*n - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*o + 40 = 4*x, 4*x - 58 = -2*o. Suppose -j - 5*k - 15 = 0, -4 + x = j - 3*k. Let f be 1 + -1 + j + 2. Solve -f*y - y + 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.62 - -3.52. Let g = y - 3. Let i = 4.1 + g. Which is the nearest to -1? (a) i (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/300200 and -63\/28160.\nAnswer: 211340800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-6))\/(7\/(-21)). Let k be 0 + (-2)\/i + (-5)\/7. Factor -k*n**2 + 4\/7*n + 6\/7.\nAnswer: -2*(n - 3)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*-0.8.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-21)*(-320)\/(-24).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k**2 + 2361*k - 377330. Determine p(122).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295*h - 114*h + 98*h + 558 = 0. Let q = -1 - -1.1. Let s = 44 - 45.9. Which is the second biggest value? (a) q (b) s (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*c + 4\/7*c**3 - 2\/7*c**2 + 0.\nAnswer: 2*c*(c - 1)*(2*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -232262, -232289, -232316, -232343, -232370?\n\"Answer: -27*w - 232235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6)*-1 - 28\/6. Let f(z) = -z**3 - 3*z**2 + 6*z - 1. What is f(t)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/(6615\/(-14094))*60\/(-54)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 24 = 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.3 - -10.7. Let t(p) = -p**3 - 5*p**2 + 4*p + 21. Let s be t(-5). What is the closest to 0 in 2, s, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 5*k**2 - 3*k - 3. Suppose 2*t - 5*a = 1 - 13, -4*t - 52 = 4*a. Let u be ((-11)\/t)\/((-1)\/(-3)). Give j(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-42)\/(-12) - 1\/2. Suppose i = o*q + 1, -i - 3*q - 3 = -4*q. Which is bigger: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r + 74. Let g(t) = 3*t + 49. Let m(n) = 7*g(n) - 5*l(n). Let a(y) be the first derivative of y**3\/3 - 5015. Give a(m(j)).\nAnswer: j**2 - 54*j + 729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k*y - 10100*k - 21138566*y wrt k.\nAnswer: -2*y - 10100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116258312 divided by -4.\nAnswer: 29064578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + ((3 + (sqrt(5) - (sqrt(5) + 2))*4)*-3 - ((3*(sqrt(40) - sqrt(360)))\/(sqrt(16)\/((sqrt(2) - sqrt(32)) + sqrt(2))))**2).\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(484))\/sqrt(11) + (-5 + 3 + sqrt(11))**2 + 3 + 2.\nAnswer: -8*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 199?\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -40, -92, -174, -292, -452?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -237\/2*k**2 + 1\/4*k**4 + 0 + 17\/2*k**3 + 49*k. What is the derivative of o(y) wrt y?\nAnswer: 6*y + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from {b: 5, n: 4, q: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125 + 272. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*i**4 + 5805*i**3 + 1746*i wrt i?\nAnswer: 96*i**2 + 34830*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28969414 is divided by 4828232.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -98*r + 135. Let u(k) = -293*k + 401. Let x(b) = 8*i(b) - 3*u(b). Let j be x(-10). What is j rounded to the nearest 10?\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15, 8, -9, -42, -97, -180, -297, -454?\n\"Answer: -c**3 + c**2 - 3*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 358070 to the nearest ten thousand.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-10))\/(4\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-9))**(2\/17))**(2\/5) assuming r is positive.\nAnswer: r**(-36\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/4 - 89*z**3\/4 + 1745*z**2\/4 + 10481*z\/4 + 6627\/2.\nAnswer: (z - 47)**2*(z + 2)*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**3 - 14*m**3 + 5*m**3 + 3*m**3.\nAnswer: -17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/11 - 30665596*c**3\/11 - 2*c**2\/11 + 30665596*c\/11 = 0.\nAnswer: -1, 0, 1, 15332798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five halves of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*v + 12. Let f be (-102)\/(-4) + (-1)\/v. Let m = -9 + f. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c - 1eb4?\nAnswer: -1ed0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (2 + -7 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + 25b?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cdccccd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 3*r**4\/2 + r**3\/2 - 13*r**2\/2 + 203*r. Suppose 0 = a + 4*a - 20. Let y be m(a). What is y rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 4*z = -2*z + 10 - 45, -20*s + 43 = -2*z + 29 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1031, -978, -925?\nAnswer: -872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-2)*-68*(-74)\/10693\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r + 2. Let z be v(-2). Let i = z + -9. Suppose 20 = 4*u - 5*b, -2*u - b - 1 = i. Let n(t) = t**3 - t**2 + t - 5. What is n(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -70*g**4 + 685*g**3 + 390*g**2 - 2575*g - 55. Let k(v) = -5*v**4 + 49*v**3 + 28*v**2 - 184*v - 4. Let r(j) = -55*k(j) + 4*q(j). Factor r(w).\nAnswer: -5*w*(w - 9)*(w - 2)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**4 + 33*x**3 + 540*x**2 - 2524*x + 2640 = 0.\nAnswer: -15, 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2165 + -5?\nAnswer: -2171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4*159\/(-53))\/(-17*6)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*h + 457 + 8*h - 13*h - 20*h.\nAnswer: -h + 457","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 30 = -4*v, 1490 - 1469 = -v + 3*p. What is the fourth smallest value in 5\/3, v, -24, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 - 9*y + 8. Let x(k) = 2*k**2 + 5*k - 4. What is 3*j(c) + 5*x(c)?\nAnswer: c**2 - 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(147) + 1 + 2 - sqrt(147)) + 1 - ((2 + sqrt(147))*5 + -3 + -3 + sqrt(147)))**2.\nAnswer: 252*sqrt(3) + 5301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 390069499 divided by -888541\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 3*k**3 - 73 - 6*k**3 + 0*k + k**3 to the form d*k + j + t*k**2 + r*k**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 40, 46, 56, 70, 88, 110, 136?\n\"Answer: 2*k**2 + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 17. Let k be ((-3)\/(-21))\/((-4)\/y). Which is the closest to 0? (a) -2\/9 (b) -9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g*g**(18\/11))*g**(-1\/9) assuming g is positive.\nAnswer: g**(-272\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/21 and 68\/37030383?\nAnswer: 259212681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -q - 3*y, -6*q + 3*y = 242 - 302 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.046429 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 39545360, 39545366, 39545372, 39545378, 39545384?\n\"Answer: 6*x + 39545354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(99) + 0)**2 + (2*sqrt(88))\/sqrt(8))*-2*2.\nAnswer: -792 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**2 - 14*w + 2. Determine b(6).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a hour in minutes?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 2, t: 2, s: 2, u: 2, p: 1, f: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 3\/4, -0.3, 26, -1.01?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*q + 474737*q**2 - 282*q - 474736*q**2 + 27*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(((v**0\/v)\/v)\/v)*v)**(-2\/37))**(4\/15)\/((v\/v**(-1))**(-29)*(v*v**(2\/21)\/v)\/(v*v\/v**(-1))) assuming v is positive.\nAnswer: v**(47267\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n. Let w(v) = -3*v**2 + v. Let u(i) = 2*p(i) + w(i). Give u(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - -1*(-4 - -3). Solve q*k - 4*h - 6 = 0, 2*k + 4*h + 26 = -0*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -5. Let q = 0.11 - 4.11. Let v = q + 5. Which is bigger: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36.5 + 36.8. What is the closest to -1 in d, 0.4, -11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60*(-74)\/11100)\/(4\/(-45))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10555186 divided by -76.\nAnswer: 5277593\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -43*g - 5. Does 10 divide s(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 15. Let w be 18\/(-15)*(-90)\/x. Let y = 18 - w. Solve y = 5*h - 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (15 - 15) - (1 - -8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*o + 5*o - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f + 17. Let p be c(-3). Let b be (-35)\/(-5)*(0 + p). Let j(y) = y**3 + 6*y**2 - 5*y + 7. Determine j(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 23*r**2 + 13*r + 204. Let u be c(22). Let f(q) = -q**2 + 13*q - 9. Let y be f(6). Calculate the highest common factor of y and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 13 = -h, -2*h + 19 = -8*s + 13*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 161*n + 949. What is c(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rcrrrrrr?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004054 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 88\/((-6 + 1)\/20). Let k be 5 - s - 9\/(9\/2). Calculate the greatest common factor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 62 + 12. Suppose -m = -0*u + 5*u. List the prime factors of u\/(-3 + (-471)\/(-159)).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5775 + 5773. What is the closest to -1 in -1, -21\/5, t, 0.04?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f - 5*f + 3*f)*(5*f**3 + f**3 - f**3 + 9) to w*f**2 + b + v*f + u*f**3 + i*f**4 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.1 - -5.1. Which is the closest to 0.01? (a) 0.1 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231 divided by 3.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18849 - 12072. Suppose -8*n + u = n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -6. Let p be 9\/6 + (-9)\/(-2). Let u be (8\/p)\/(s\/(-78)). Solve -3*k - 2*k = 4*v + u, -2*v + 2 = -5*k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94322433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.4 + -2. Let n(g) = -g**3 - 8*g**2 - 7*g + 25. Let t be n(-6). Which is the biggest value? (a) -4 (b) 3 (c) l (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 - 2231*o**3 + 1139208*o**2 + 119554240*o + 118412800.\nAnswer: (o - 1160)**2*(o + 1)*(o + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*t**4 + 4*t**4 - 5 - 13*t**4 wrt t.\nAnswer: -76*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -15*y**6\/2 - 2*y**5\/5 - 57*y**3 - 268. What is the third derivative of b(u) wrt u?\nAnswer: -2700*u**2 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 3*i**2 - 3*i + 1. Let b = -133 + 187. Let w = -57 + b. Let o be r(w). Solve 2*g + o = 0, 4*g + 5 + 25 = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1 - -1) + 1)\/((-3)\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + -5 + sqrt(208)*-1 - sqrt(208)) + -5 + 1)**2.\nAnswer: 72*sqrt(13) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1443, 2851, 4267, 5691, 7123?\n\"Answer: 4*h**2 + 1396*h + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 231 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 127 = -95. Suppose -38*i + z*i = -3. Let p be 3 + 2*i\/(-6). Solve -p*k - 3*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 45\/4 of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 2\/11, 1, -1\/2 in decreasing order.\nAnswer: 1, 2\/11, 0, -1\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9*(32\/(-36))\/4. Let z be (1 - 0)\/(1\/h). Factor 2*v**4 - 16\/9*v - 16\/3*v**3 + 44\/9*v**z + 2\/9.\nAnswer: 2*(v - 1)**2*(3*v - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 322214061?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307747 is divided by 1821.\nAnswer: 1819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -27123 and -109807245.\nAnswer: -109834368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/20*(-2)\/(-4)*1. Suppose -n + 4 = -2*w - 16, j = -4*n - w + 98. Let m be 2\/7*(-14)\/n. Which is the third biggest value? (a) 1\/4 (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37498 or -37500?\nAnswer: -37500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1573) + 1)**2 + (5*(sqrt(13) + 0 - sqrt(13))*-6)**2.\nAnswer: 22*sqrt(13) + 1569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 47961*p**4\/5 + 19272*p**3 + 48838*p**2\/5 + 88*p + 1\/5 = 0. Calculate p.\nAnswer: -1, -1\/219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -205 and 0.4?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 500 + -2?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7314629 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -75*u - 10622 + 10623 + 49*u. Let i(p) = -51*p + 2. Calculate 3*i(t) - 7*r(t).\nAnswer: 29*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2762479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30.7 + -29. Let j = -5.3 - o. Let z = 669 + -670. Which is the closest to z? (a) -1\/5 (b) j (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2)\/((-6)\/16). Let s = z - 0. Suppose -3*w = s*m - 78, 2*w + 2*m - 22 = 28. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2144323, 4288928, 6433533?\nAnswer: 8578138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21937952 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*v + 22, y + 3*v + 2*v + 19 = 0. Let s = y - -3. Let q = s - 5. Solve 2*c + 5*a = -3, 17 = -q*c + 3*a - 2*a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 7*h + 2. Let q be d(-7). Find the third derivative of -1 + 1 - f**q - 3*f**5 + 5*f**5 wrt f.\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 12*h - 1. Let z be r(0). Let u = -1.24 - -0.74. Which is the second biggest value? (a) u (b) 0.7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19349 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 1395 = 5*j - 5*r, j - r = 690. Suppose x = 4*x + 15, -3*n - 4*x = -j. What are the prime factors of n?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 117 - 49. Let t = 0 + 5. Suppose t*h - 2 = -q. Which is bigger: -4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -216, -1573, -5248, -12399, -24184, -41761, -66288, -98923?\n\"Answer: -193*f**3 - f**2 - 3*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 458*y + 915. Determine g(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1617*d + 8366 = -15379 + 1107 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 3)*(-105*f + 50*f + 48*f) + 4*f - 3*f - 10 + 3 as u + l*f and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b - 740*b**3 - 15*b + 370*b**3 + 373*b**3.\nAnswer: 3*b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34638 is divided by 4063.\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3176 = o, -4*o + 9*o - 3176 = -4*z. Suppose -2*r + 3*m + 274 = 0, 5*r + m + 92 = z. Calculate the remainder when r is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 4*s = 0. What is the derivative of 7 - 11 + s - 3*q wrt q?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2996 plus 5.5?\nAnswer: 7.7996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 - 39*j**2 - 69*j + 226. What is r(-18)?\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26693097801 from -0.03812.\nAnswer: -26693097801.03812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507 bigger than 4506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 166 - 39. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17541*i**4 + 5346*i**2 - i?\nAnswer: 420984*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 1, -4, -93152 in decreasing order.\nAnswer: 3, 1, -1, -4, -93152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 14*q - 387. Let g be n(28). Let a(w) be the second derivative of 1\/3*w**3 - 1\/3*w**4 + 0 - 1\/10*w**g + 4*w + w**2. Give a(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 4*r + 36 = -0*r, -5*r = 5*x - 40 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*h - 63 + 3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2 + 18*s - 11. Let w be n(8). Solve 2*b + 0*j = -j + 4, 4*b - 36 = w*j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -987 - 837 = -6*o. Suppose -9*t - o + 1321 = 0. What are the prime factors of t?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 4a8?\nAnswer: 4a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 3*a = -21, 2257*c - a = 2251*c + 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*g = 10, 4*r - 3*g + 4*g + 9 = 0. Let d = r - -1. Which is the second biggest value? (a) d (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**7\/210 + p**5\/15 - 5*p**4\/3 + 2*p**2 + 2. Find the second derivative of h(a) wrt a.\nAnswer: 12*a**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 6*v = 120. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4586 - 4551. What is the highest common factor of x and 1120?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -12. Let u be 2\/(-11) - (-6 + (-112)\/11). Let c(b) = b**3 - 16*b**2 - b + 19. Let y be c(u). Put -3\/7, a, y in ascending order.\nAnswer: -3\/7, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/(208\/(-42)))\/((28\/147)\/(2\/9))?\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 95\/2 of a millisecond?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2745 + -5068. Let l = f - -9357\/4. Which is smaller: l or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 37*b**2 - 1 + 38*b**2 - 3*b**5 + (8*b - b - b)*(-5*b**4 + 0*b**4 + 3*b**4).\nAnswer: -15*b**5 + b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 less than -34888788?\nAnswer: -34888911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 71*q**5\/60 + q**4\/24 - q**3\/6 + 33*q**2. Is n(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.919 - 11.919. Sort -2, -0.05, u in descending order.\nAnswer: -0.05, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 13*p**2 - 3*p - 3. Let n be f(3). Suppose -n = -5*q - 40. What is the remainder when 36 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/4)\/((-973)\/3892)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q - 66. Suppose b = -0*b - 2*u + 90, 0 = -5*b + 3*u + 385. Suppose -t - b = -5*t. What is the lowest common multiple of q and t?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r - 3. Let k = 848 + -853. Let d(a) = -4*a - 2. What is k*v(g) + 6*d(g)?\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -118*x**5 + 84634*x**4\/7 + 31602*x**3 - 119106*x**2\/7 + 540*x = 0.\nAnswer: -3, 0, 2\/59, 3\/7, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/((-2)\/(-1) - 1). Let k = -194 + 246. Let a = l + k. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z + 28. Let j be o(7). Solve 0 = 4*c - j - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**7\/5040 - u**6\/1440 + u**5\/120 + u**4\/6 - u. Let k(m) be the third derivative of b(m). Factor k(r).\nAnswer: -(r - 1)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7015 is divided by 65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -157 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a - -12664?\nAnswer: 12692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4940 - 1748. Is b a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/7)*f)\/(f\/((f*f**(2\/3))\/f*f*f)))**34\/((f*f\/(f\/(f*f*f*((f*f**1*f*f*f)\/f)\/f)))**(8\/5)*f**(-4)*f**0) assuming f is positive.\nAnswer: f**(8254\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -49*u + 51*u - 1280088, 5*c = 2*u + 3200185. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37227703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 9, 1 in decreasing order.\nAnswer: 12, 9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m + 39*m = 30. Suppose 2292 = m*h - 26*h. What are the prime factors of h?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**2 - 154*v - 29. Let n be c(31). Factor -1\/3*d**n - 1 + 4\/3*d.\nAnswer: -(d - 3)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 836 = -1136. Suppose -5*w + l - 241 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/7)\/y**(1\/8))\/(y\/(y\/(y**(-1\/4)\/y*y))*y)**3*(y**(2\/3)\/y**1)\/((y\/y**0)\/(y\/y**6)) assuming y is positive.\nAnswer: y**(-1391\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/r)**(4\/15)*r**8*r**1 assuming r is positive.\nAnswer: r**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, w: 4}. Give prob of picking 2 w and 1 u.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - d**2 + 9*d**2 + 6*d**2 + 6*d**2 - 19*d**2.\nAnswer: d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -156935?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 4818?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**3\/17 + 1784*t**2\/17 - 22022*t + 17787588\/17 = 0?\nAnswer: -1074, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.263 + -0.063. What is the smallest value in l, -3\/2, -1\/6, -2\/9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**2. Let n(h) be the second derivative of 5*h**4\/4 + h. Let y(i) = 11*m(i) + 2*n(i). Let g(d) = 3*d. Determine g(y(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**5 + 114*i**4 + 297*i**3 - 654*i**2 - 840*i = 0. Calculate i.\nAnswer: -35, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g = -39*g + 15. Put 132, -1, g in descending order.\nAnswer: 132, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203897238 to the power of 1\/3, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = a + 5*h - 54, -3*a = 3*h - 63. Suppose -37 = -5*p - a. Let v = 172 - 167. Solve 2*q + v*y - 14 = 0, -p*q + q = 4*y - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 - 3*q + 8. Let z(j) = 4*j**2 + 4*j - 8. Let g(o) = 6*d(o) + 5*z(o). What is the remainder when g(-4) is divided by 2\/(-1 - 1)*-11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 407, 1668, 3767, 6704, 10479, 15092, 20543?\nAnswer: 26832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - 0. Let v = 0.13 + 20.87. Let n = -26 + v. What is the closest to 1 in f, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 - 1439*c - 381*c + 130*c + 33 to z*c + q and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-78)*(-6292)\/(-1210)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 4 - -8) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10*(18648\/80)\/(-37). Suppose -3*y - 7 = -1, 14 = 5*i - 2*y. Suppose x = -i*x + 27. What is the greatest common divisor of m and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 12*i**2 - i. Let p be l(-1). Suppose -p = -5*d + 12. Suppose n + 60 = 5*n - 4*b, -70 = -d*n + 4*b. Calculate the remainder when 19 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 85, -5, 1, -11, 2, -90 in increasing order.\nAnswer: -90, -11, -5, 1, 2, 3, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 255*j**2 - 25*j + 25. Let k = 216 + -222. Let g(b) = 32*b**2 - 3*b + 3. Let v(o) = k*z(o) + 50*g(o). Let l(q) = -2*q**2. Give l(v(w)).\nAnswer: -9800*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(1160\/(-195) - -6) is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -274.51 + -4.49. Let k = -4566381 - -4566660.0419. Let g = k + b. Round g to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**2 - 6*a + 2. Let i be t(5). Calculate the highest common divisor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7759 + -7027. What is the remainder when s is divided by 70?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.0401 - -0.0401. What is the third smallest value in -4, p, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**7\/1470 - q**6\/140 - 13*q**5\/420 - q**4\/14 - 2*q**3\/21 + 10688*q**2. Factor o(c).\nAnswer: -(c + 1)**2*(c + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1091\/6366 - 5\/1061. Which is the third biggest value? (a) l (b) 3\/4 (c) -3\/5 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + y = -125, 54 = x - 2*y + 20. Solve -4*g = 3*s - 3*g - 19, 4*s + g = x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/7 - 1056*f**2\/7 + 9804*f + 20216.\nAnswer: 4*(f - 133)**2*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*g - 273 = 4*i + 431, -3*g - 3*i + 14 = -2*i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 4, -2, -1\/6 in descending order.\nAnswer: 4, 2\/13, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2 + 172*s + 170 = 0. What is s?\nAnswer: -85, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5686.483 milliseconds in nanoseconds?\nAnswer: 5686483000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -637*l + 17*l**2 + 19*l**2 + 637*l.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -16155 divided by -64\nAnswer: 16155\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 45\/4 of a microgram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1139 and 15209?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -34619171 divided by 1\nAnswer: -34619171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 494 = 23*o. Differentiate -3*v**3 + 44*v**4 + 3*v**3 + 158 + o + 108*v**4 with respect to v.\nAnswer: 608*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 7*u + 10. Suppose -5*x + 41 = 2*f, -f - 5 = -3*x + 13. What is the smallest common multiple of m(x) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/7, 0.2, 4.3 in descending order.\nAnswer: 4.3, 0.2, -1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -1)*(-52)\/26.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*y**2 - 4*y + 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from titaitaiit. What is prob of picking 1 a and 1 i?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 11, y: 9}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*z**2 - 3*z + 2 + 2*z + 2*z**2 - 12*z**2 - 4*z**4 to the form m*z**2 + r*z + s*z**3 + w*z**4 + c and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 + 123 = -2*l + 3*r + 34, 2*r = l + 3*l + 128 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3965 divided by -6\nAnswer: 3965\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -386515.3 - -397678.846. Let s = 11151 - c. Let u = -0.054 + s. Round u to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.2? (a) -1\/4 (b) -0.04 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3828700407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 + 2*h + 1. Let q be r(2). Let v = 53 - q. Calculate the greatest common divisor of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 932.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 46*v + 11. Determine m(46).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*o**2 - 6*o**2 - 6*o**2 - o - 7*o + 3*o to s*o**2 + f*o + h and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 7.9. Let j = 8.07 + -0.07. Let l = -4 + j. Put y, -0.4, l in descending order.\nAnswer: l, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7196, 15031, 22866, 30701, 38536?\n\"Answer: 7835*y - 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0102424281 to six dps.\nAnswer: 0.010242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-110)\/50 - (242\/90 + -4)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 j when four letters picked without replacement from juuuujuejjuujj.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15120 - -15744. What is the greatest common factor of d and 728?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5978 and 0.2.\nAnswer: -1195.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8 = -2*r + 12, -2*r = -3*v - 20. Let n = -6 + r. Solve 0*q + 2*q + 3*y + 22 = 0, -4*y = -4*q - n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.39 + -0.01. Let w = -0.38 - s. Round w to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35408190 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: Calculate the remainder when 714399 is divided by 769.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) -3\/4 (c) -4 (d) -248\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-19)\/(a*a**(-3)\/a)*(a\/(a*a**(-12)\/a*a))\/(a\/((a\/a**(1\/14))\/a)))**(-7\/2) assuming a is positive.\nAnswer: a**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 5:52 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-22)\/33)\/(2\/(-15)). Solve j + 9 + 6 = 3*b, -2*j - w*b = -14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 8*i**2 - 11*i + 5. Let x be n(7). Let f = x - -20. Sort -2, -1, f in decreasing order.\nAnswer: -1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zltdi. Give prob of sequence lit.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 190*k - 8516. Calculate z(122).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 100110111111110100110001 (base 2) to base 16\nAnswer: 9bfd31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.37407t to grams.\nAnswer: 98374070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 1128778976.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 = -2*b. Suppose t = b*m + 5, 0 = -5*m - 0*t + 5*t - 25. Let n be (-30 - m)\/((-3)\/(-450000)). Round n to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-6)\/(-4))*(-38 - -44). Suppose -3008 = -i*q + 932. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 67 = 3*l. Is 9 a factor of (4*1\/6)\/(l\/(-78))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*m = 200*m - 74. Solve -z = -m*t + 43 - 49, 12 = 3*z - 4*t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255 times 13?\nAnswer: 16315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1222 (base 3) to base 8\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.39 - -1.19. Let c = 1.3 - y. What is the fourth biggest value in 5, c, 3\/4, -2.3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-20) - (-86)\/(-10). What is the common denominator of 107\/6 and 8\/a*(-33)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 11*r**3 - 8*r. Let m(p) = -3*p**3 + 2*p. Give -2*b(c) - 9*m(c).\nAnswer: 5*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1099 - 1102. Which is the fourth biggest value? (a) 3 (b) -8\/9 (c) 0.4 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**2*g**0*(g*g**(1\/5))**(-3\/7))\/(((g*g**7)\/(g**(3\/7)\/g))\/(g*(g**(3\/4)\/g)\/g)**(-6)) assuming g is positive.\nAnswer: g**(-251\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*l - 102*l - 56*l - 107*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, i: 1, k: 2, v: 3, f: 12}. What is prob of sequence fi?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*m + 57*m - 1054 = 6800 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*o**4 - o**3 - 30*o - 2 wrt o?\nAnswer: -612*o**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/(-4) - (-8)\/16. Let i be (-3)\/y + 5\/(-10). Let h be (60\/(-14))\/(i\/14). What is h rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -14. Suppose -2*u - j = -x - 4*u, u + 63 = 2*x. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 32.7?\nAnswer: -1.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + u + 40. Let m be y(0). Let f = -793 - -800. Let n = m - f. What is the remainder when n is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/1312 and -93\/23944.\nAnswer: 95776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 5, 79, -4, -0.9 in ascending order.\nAnswer: -45, -4, -0.9, 5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**3 + 3*f**3 - f**3 + (4*f - 6 + 6)*(0*f**2 + 0*f**2 - 2*f**2) + 2*f**3 - f**3 - 3*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 9*j**2 + 10*j - 4. Let v = -36 - -26. Let n be r(v). What is the units digit of n*14*(0 + (1 - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(60)\/(sqrt(35)\/(sqrt(14)\/sqrt(2))))\/((sqrt(150) + (sqrt(150) - -1*sqrt(150))*-5 - sqrt(150) - sqrt(150)) + sqrt(150)))**2*2.\nAnswer: 8*sqrt(2)\/25 + 20001\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h - 35. Let p be c(-5). What is the hundreds digit of ((1 + 0)*568)\/(-9 - p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106675111099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i**3 - i**2 + i. Let h be k(1). Let q = h - 23\/4. Which is the third biggest value? (a) q (b) 0.4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1538382 and 162381?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 18. Is 15 a factor of m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 4, q: 2}. What is prob of picking 2 q and 1 f?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10577 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 9*b. Let v(z) = z**2 - 243. Give v(h(y)).\nAnswer: 81*y**2 - 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -3*j - 4 - 1, -3*x - 15 = -5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -63e?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12608171461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**2 + 1. Calculate the remainder when l(5) is divided by 39.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = -2*s. Let z(j) = 10*j**2 + 3*j - 13. Let v = -37 + 44. Let a(f) = 3*f**2 + f - 4. What is s*z(l) + v*a(l)?\nAnswer: l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 14*l + 2. Let w be h(-14). Factor 0 + 2\/5*s - 2\/5*s**w.\nAnswer: -2*s*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 193 - 97. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3))**(-12))**45*((j\/((j\/j**(-5))\/j))\/(j\/j**(1\/8)*j))\/(j**5\/(j*j**(-2))) assuming j is positive.\nAnswer: j**(-1535\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -108, -259, -408, -555, -700, -843, -984?\n\"Answer: y**2 - 154*y + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (39 - 36)\/(2\/62) + 5. Let p(r) = 50*r + 1. Let j be p(1). Let i = g - j. What is the highest common factor of i and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02533 and 0.01?\nAnswer: -0.0002533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3611810, -7223616, -10835420, -14447222, -18059022, -21670820, -25282616?\nAnswer: -28894410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591812613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449325.\nAnswer: 5, 57973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 10*i**2 - 10*i - 4. Suppose -4*h - 5*p - 48 = 0, p = 2*h - 7*h - 60. Let c = 3 + h. What is the units digit of l(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - v = -4 - 5, -3*v + 12 = 0. Let j(d) = -d**2 + 3*d - 4. Let s be j(3). Which is the closest to -1\/3? (a) s (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 930 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-4 + 4) - -23. Let p = x + 0. What is the remainder when p is divided by (-12)\/78 + 106\/13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -2, -4 in decreasing order.\nAnswer: -2, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 3, s: 3, f: 3, l: 2, v: 2}. What is prob of picking 1 s and 1 e?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/7 - 652*t\/7 + 10005\/7.\nAnswer: -(t - 15)*(t + 667)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 2*t**2 - 3*t + 1. Suppose -3*v - 4*n = 2*v - 113, 103 = 5*v - n. What is the remainder when v is divided by i(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -178\nAnswer: 1\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2765 - 2585. Calculate the smallest common multiple of 40 and p.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p - 4. Let q be i(-3). Let z be (10\/(-3))\/(q\/15). Let a = 5 + -7. Sort 4, a, z in increasing order.\nAnswer: a, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a2 - 9?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5252495 or 5252496?\nAnswer: 5252495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 54053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 5 = -3*s, 1 = 4*w + 2*s + 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 17*t**2 - 109*t - 7. Let a be q(22). Let v be 12\/a - ((-118)\/90 - 5). Find l, given that 16\/9*l**3 - 16\/3*l**2 + v*l - 2\/9*l**4 - 32\/9 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(18\/4 + -4). Let j be 57\/18 - o\/(-12). Find the common denominator of -16 and ((-44)\/96)\/(j\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z + 0*z - 4*z + 277251*z**2 + 14*z.\nAnswer: 277251*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 36*k - 186. Suppose 7*y = -531 + 566. Let o be m(y). Which is the second smallest value? (a) 0 (b) o (c) 0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*b = 48, 5*j + 5*b - 60 = -0*j. Factor -2*h**2 + 2 + j*h**3 + h - 11*h**3 - 2*h.\nAnswer: (h - 2)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12110767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-16)*2 - (-214726)\/1616. Let v be 9*(2 - (-21)\/9). Suppose o - 4*o - 5*j + 82 = 0, v = o + 4*j. What is the highest common factor of c and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 413845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 5*n - 79 + 97, j - 4*n = -28 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.7 + 1.6975. What is b rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/3)\/(((-19261)\/1545)\/187)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -584800 rounded to the nearest ten thousand?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g**3 + g**3 + 2 + g**3)*(62 + 2*g - 62) to the form z*g**4 + j*g**2 + u*g + s + f*g**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221107?\nAnswer: 127, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 - 2*c**3 - 4*c**2 + 5*c**2 to p + y*c**2 + m*c + i*c**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15425, -15401, -15337, -15215, -15017, -14725?\nAnswer: -14321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 14*g + 29*g + 24.\nAnswer: 43*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310*10\/(-60)*-57?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 283389 - 283391.0999936. Let i = c + 2.1. Round i to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2785 and 38433.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-27))\/((-1)\/18*3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 328 + -328.2. Which is the biggest value? (a) 5 (b) h (c) 0.3 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -111*m**3 + m**2 - m + 1. Let j be d(1). Let c = j + 136. What is the remainder when 153 is divided by c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764 is divided by 269?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*u = 1396 + 404 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1790 = -1462. Let w = -1683 + a. Let c = w + 1048. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q - 20. Let m be h(15). Let c = m + -5. Suppose -56 + 216 = c*x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**2 - 270652*q - 270648 = 0. What is q?\nAnswer: -67662, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.76 and 39.\nAnswer: 39.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-42) + (-116)\/(-259). Let b = x + -145\/666. Calculate the common denominator of b and -67\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 730.52 and 0.3.\nAnswer: 219.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 394579.\nAnswer: 4\/394579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.50692 centuries in millennia?\nAnswer: 3.150692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1212745 by 242549.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115 + -27. Suppose 4*g - 3*p = -v, 4*g - 2*p + 61 + 31 = 0. Let m = g + 41. What is the lowest common multiple of m and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57.5 + 69.15. Let z = -2.1 - -13.1. Let p = i - z. Round p to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3496081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 12) in base 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-5)\/(-15)) + 52\/15. Let t(b) be the first derivative of -2\/9*b**3 - 3 + 3\/4*b**4 + 0*b - q*b**5 + 0*b**2. Suppose t(y) = 0. What is y?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 6. Let h be u(-7). Let z(i) = -i**3 - 8*i**2 - 7*i - 6. Let y be z(-7). Sort y, h, 0 in descending order.\nAnswer: 0, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1828 or -1.5?\nAnswer: 1\/1828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 190 and 1558?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3024) + (sqrt(3024) - -1*-1*sqrt(3024)))\/(3*(sqrt(7) + sqrt(112)) + (sqrt(7)*-1 + sqrt(7))*-5) + -2.\nAnswer: -2 + 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.51 - 2.31. Sort -5, 0, i in descending order.\nAnswer: 0, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*v + 2 + 3*v**2 - 5*v - 15*v)*(-2*v**2 - v**3 + 2*v**2).\nAnswer: -3*v**5 + v**4 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cckcyyyviivckisyv. Give prob of sequence svcy.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - b**2 - 3*b**2)*(19025*b**2 + 7 - 5*b**3 - 19025*b**2).\nAnswer: 5*b**5 - 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*g - 7, 2*g - t = 6 + 7. Let z be g + (9 - 7)*(-1 + 2). Let s(j) = z*j - j - 3*j. Let r(h) = 91*h**2. Determine r(s(l)).\nAnswer: 364*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.09, 0, -5, 1214?\nAnswer: 1214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74989757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**3 - 25*s**2 - 10*s - 9. Let j be 10\/(-2) - (10\/(-25) - (-595)\/175). What is g(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = p - 2*z - 106, -4*p + 2*z + 386 = 0. Suppose -x - p = -d, 4*x - 2*d = -x - 484. Let v = x - -158. Is v a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -1\/60*c**5 + 0*c**6 - 179*c**2 + 0*c + 0 + 11\/4*c**4 + 0*c**3 + 13\/42*c**7. Find the third derivative of q(d) wrt d.\nAnswer: 1560*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 18*t**2 - t - 18. Let x be n(-18). Suppose x = -3*a - 5*q + 7, 5*a + 5 = 2*q - 4. Let f be 7\/(-21)*(-6)\/(-4). Are a and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5228 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**3 - 40277*g**2 + 10*g + 45645.\nAnswer: 18*g - 80554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 11 = 9. Solve h*x - 15 = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 134.632, -1\/4.\nAnswer: -1\/4, 3, 134.632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 4*c = -16, 4*t + 23 - 19 = -c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a millennium in years?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -170426714*s**3 + 8727*s**4 + 29 - 146*s**2 + 170426714*s**3 wrt s.\nAnswer: 209448*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 5. Let r(k) = k**2 - 7*k - 5. Let v be r(7). Let f be b(v). Let n be (-34799996)\/6 + f\/(-15). What is n rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -339*h + 6697. Determine a(19).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/((-75)\/(-10)))\/(39\/(33189\/(-74))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2399, -5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 12. Suppose 4*q + 2*d = -18, -5*q - 3*d = 2*d + 25. Let p(u) = u**3 + 3*u**2 - 4*u. Let k be p(q). Suppose k - 6 = m. Calculate v(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a + a**3 - 2*a**3 + a**2 - 7*a + 3. Let k(r) = -r**3 - 4*r**2 + 7*r + 2. Let d(n) = n**2 - 2*n. Let j(b) = 5*d(b) + k(b). What is -6*j(z) + 4*q(z)?\nAnswer: 2*z**3 - 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 15 = -3*b, 2*n + b = 4*n - 1. What is the tens digit of 130\/4 + n\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2487 (base 11) in base 7?\nAnswer: 12310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**5\/60 - 2*x**2. Let g(j) = 7166 - 14340 + j**2 + 7172 - 2*j**2. Calculate w(g(p)).\nAnswer: p**4 + 4*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g - 4*g - 4*g + 2*g - 2*g**2 - 3*g to t + m*g**2 + f*g and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 13 (c) 2 (d) -18 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2769546?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/(s*s\/(s**(5\/8)*s)))))\/s*s\/(s\/(s*s\/(s*s*s**(8\/5))*s)))\/(s**(-5)\/s*s**5) assuming s is positive.\nAnswer: s**(1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-12)\/(-24)*-2*(0 - 1) and (-10)\/(-6) - 4\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 207*d + 7123. Is u(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 h when four letters picked without replacement from {x: 1, d: 6, h: 5, c: 4}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = -5*q - w, -w + 36 = 4*q + 107 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 37*l**2. Let f(a) be the third derivative of a**4\/8 - 28*a**2. Calculate k(f(q)).\nAnswer: 333*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxkxxffxfxkff. What is prob of sequence xkfk?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 2*l = 7*v - 13, -l = 3*v - 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4. Let k = 208\/15 - 41\/3. Which is the closest to f? (a) k (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 11 = -n - n, 0 = 3*n + 2*f - 10. Let u(i) = 7*i. Calculate the lowest common multiple of n and u(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 9*s**3 - 102*s**2 - 1153*s + 17. Calculate o(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2*o - o)*(2*o + 4*o - 230*o**3 + 238*o**3).\nAnswer: -16*o**4 - 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 3*u + 17 = -4*i, -4*u = i. Suppose 1187 = i*g + 3*a, 0 = g - 3*a - 0*a - 308. Calculate the highest common divisor of g and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -307\/3, -30?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 88?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3192 and 38360.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 243061783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - f + 1171 - 2341 + 1170.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26444)\/(-21035) + (-1)\/(-7)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 52500*h. Suppose 4*r = 3*q + 12, -5*r + 2*q + 18 - 3 = 0. Suppose -5 = -4*x + k, -k - 4 = x - r*k. Let v be o(x). Round v to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(8)\/sqrt(4))**2 - sqrt(8)\/(sqrt(4)*-1).\nAnswer: sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 640 = 2*r, -2*q - 477 = -5*r + 1081. Suppose -2*w = -2*s + r, s + 19 - 171 = 2*w. Suppose s + 42 = 5*n. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188838 divided by -1106\nAnswer: 94419\/553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1281.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 6. Let n(m) = 2*m**2 - 3*m - 2. Suppose -6 = -2*l + 2. Let i be n(l). Let t be i\/(-4) - (-6)\/(-12). Calculate b(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 19*n - 189. What is the tens digit of z(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149801*c**6 - 173096*c**2 wrt c.\nAnswer: 17976120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-104)\/195*6\/(-8). What is the closest to s in 5\/12, -2, -0.2?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1136.1 + 1220. Let h = -84 + z. Round h to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -131961*h - 43283210. Give n(-328).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 11 = 9. What is the lowest common multiple of x and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-six fifths of a decade?\nAnswer: 1104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 1:06 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/10 + 2059*s**2\/5 + 28227*s\/2 + 68508\/5 = 0. What is s?\nAnswer: -33, -1, 4152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*c - 25. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34423243 times -0.4?\nAnswer: -13769297.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 46129*y + 1568389. What is r(-34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 1.1, 6?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 6 = 4*q + 3*f, -3*q = -2*f + 10. Let y(i) = -17*i**3 + 6*i**2 + 6. Let r(c) = -33*c**3 + 11*c**2 + 11. Give q*r(a) + 11*y(a).\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3674 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*y**3 - 58*y**3 + y**2 - 42*y**3.\nAnswer: -196*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 385280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - 1.02. Let j = 2 + -1.9. Which is the nearest to j? (a) n (b) 0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 225*w**2 - 44*w + 63. Let j be h(-15). Round j to the nearest one thousand.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13 + 75\/5)*-1. Let l(w) be the first derivative of -w**3\/3 - 3*w**2\/2 - w - 4. Calculate l(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 715361.3 milliseconds?\nAnswer: 715.3613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2. Let s(r) = 5*r - 7*r - 6*r - 2*r. Calculate v(s(h)).\nAnswer: 100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -10 (c) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 - 4 - (-88)\/(-16). Put z, -0.2, -2\/5 in ascending order.\nAnswer: -2\/5, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 66\/(-10)*50\/5. Let p be (-8063)\/g - 1\/6. Suppose 3*a = p - 26. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146 divided by 16\nAnswer: -73\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10\/257 + 222492\/1799. Let w = 124 - y. Let u = -306.4 - -311.4. What is the nearest to 3 in u, w, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3060 divided by 306?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a - 5. What is the tens digit of p(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 13 + 27 = 0. Suppose p*d = 5*d - 234. Let g = d + 83. Solve g*q + 4 = 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 2059858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 - 56. Suppose -3 = -8*k + x*k, 5*z = k + 168. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3031 + 3140012?\nAnswer: 3132541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0)**(-28)\/((u*u**(1\/16))\/u**14))**(-31) assuming u is positive.\nAnswer: u**(-6417\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0 = 22. Suppose s*x - 15950 + 5390 = 0. Is 73 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*s + 22. Let b be (-74)\/(-7) - (-9)\/21. Suppose 0 = j + b*j - 264. Calculate the lowest common multiple of j and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -267*n - 120*n - 13*n + 36*n - 184*n to the form a + m*n and give m.\nAnswer: -548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, r: 5}. What is prob of picking 2 r?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-29)\/(406\/28))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 4)*10\/(-4). Suppose -d*t - 15 = -10*t. What is the highest common divisor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(891) - (sqrt(891) - sqrt(891)*-3))*6)**2 + -6*(sqrt(11) + 0) + sqrt(539)*-1 + -2.\nAnswer: -13*sqrt(11) + 288682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**4\/6 - q**3\/6 - q**2 + 11*q + 1. Let b = -3 + 1. Let c(p) = -2*p + 13 + 6*p + 8*p**2 - 2 - 2. Give b*c(j) - 9*y(j).\nAnswer: 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + s + 7 = 0, 0 = 4*v - 3*s + 11 - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -a7489 (base 14) to base 13\nAnswer: -11201c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 400513397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b + 1. Let m(t) = -3 + 5*t - t + 3*t + t. Let a(w) = -4*m(w) - 11*q(w). Let g = 20 - 22. Calculate a(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11515 + 11615. Let z = -30 - -121. Let x = z - o. Put 1\/8, x, 1\/2 in increasing order.\nAnswer: x, 1\/8, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 3:53 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -545, -2283, -5167, -9197, -14373, -20695, -28163?\n\"Answer: -573*s**2 - 19*s + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j - 3*j + 0 + 1. Suppose 5*q + v - 31 = 0, 2*q - v = 5 + 6. Let i(p) = -16*p + 5*p + 3*p + 7*p. Give q*i(x) - c(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 18*l + 2 - 280*l**3 + 58*l - 2 - 42*l to the form f + w*l**2 + a*l + r*l**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2423149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -18369.2279 to the nearest 100.\nAnswer: -18400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - ((-62 - -9) + 38).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -99*w**2 + 2*w - 6. Let u(y) = -y**2 + 12*y - 5. Let d be u(11). Let t be q(d). Let r = 35501\/10 + t. Find the common denominator of -25\/7 and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.03039\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**4\/8 + 5*h**3\/6 + h**2. Let t = 615 + -614. Let r(y) = 0 - 2 + 1. Determine t*m(b) + 6*r(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -210*h**2 - 3353*h - 16. Calculate o(-17).\nAnswer: -3705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -46\/3. Let g = -0.202 - 3.798. Let u(o) = o + 4. Let j be u(-2). Sort g, j, w in descending order.\nAnswer: j, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.00000071 + 26. Round z to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.0432 - -0.3502. Let h = v + -0.277. Let z = h - 0.03. Which is the second smallest value? (a) z (b) 5 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5050 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -308, -411, -276, 217, 1188, 2757, 5044?\n\"Answer: 20*a**3 - a**2 - 240*a - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007416 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25161429 is divided by 1272.\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 77*o - 25*o - 29*o + 4*o**2 + 131 - 23*o. Let d(x) = -2*x**2 + 4 - 4. Determine d(i(s)).\nAnswer: -128*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + m**2 - m + 5. Let c be h(0). Let d(r) = -3*r**2 - 2*r + 1. Let j be d(1). Put 0.5, c, j in decreasing order.\nAnswer: c, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 65 - 57 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*m - 4*t, 4*m - 12 = -5*t - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2891 and 1379.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32425 + 72167. Is 24 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 15, 3*w = -102*l + 100*l + 149837. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -13*z + 10. Give t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-450))\/((-1)\/4*-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112452923.\nAnswer: 11, 29, 73, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -203 - -209. Suppose 4*o = o - 3. Let s be (o - (-2)\/(-2)) + t. What is the third smallest value in 0, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 + 5 + 39*s**2 + s**3 - 5.\nAnswer: 5*s**3 + 39*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 t when two letters picked without replacement from vvvtvmstv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 5*y**2 + 3*y - 11. Let a be q(5). Let n = 16 + a. Suppose 6 = -2*d - 2, -3*l = -5*d - n. What is l rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, c: 5, m: 1, s: 6, b: 3}. Give prob of sequence ccms.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14260736 divided by -1792\nAnswer: -7958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 0.182054?\nAnswer: -5.182054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -198256, -194592, -190928, -187264, -183600?\n\"Answer: 3664*z - 201920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 + 13314\/9. Suppose 4*q - 2*t = g, 4*q - 1486 = -0*t - t. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 5*s**2 - 3*s - 2. Let t be z(4). Let h = -2 + t. Solve 0*p**2 + h + 1\/5*p**3 + 0*p**4 + 0*p - 1\/5*p**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1004 + -6007\/6. Find the common denominator of r and -31\/179.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1347973?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -38, 12, 5, 0.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 9*b**2 - 3*b + 1. Determine f(8).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 2693001.\nAnswer: -8\/2693001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32559663.0827 - -0.3.\nAnswer: -32559662.7827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-6*w + 2*w + 5*w) + 194 - 96 - 89 - 10*w.\nAnswer: -12*w + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + 4237*j - 8470*j + 4234*j + (-5 + 1 + 3)*(-2*j + 2 - 2).\nAnswer: 3*j + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.8 + 0.8. Let j be 14\/8 - 2\/(-8). Let h = j + 0. Which is the nearest to h? (a) -3 (b) 0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2*m - 569 = -558, 11 + 20 = -3*h + 4*m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 142 + -53. What is the remainder when q is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + g - 291 = -4*g, 447 = 3*f - 3*g. Let u be (-6)\/2 + -2 + 32. Suppose 0 = -26*l + u + 753. Calculate the remainder when f is divided by l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 66.60092 weeks?\nAnswer: 40280236416000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2009006.60689 and 92?\nAnswer: 2009098.60689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2*k - 17 = -22, 2*k = h + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, c: 1, b: 1, j: 2, m: 1, e: 1}. Give prob of sequence ceb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 655 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1884 and 223419792?\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**5\/60 + z**4\/6 + 5*z**3\/6 + 11*z**2. Let r(m) = -3*m + 9. Let x be r(2). List the prime factors of v(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 524005604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1754*a - 1756*a = -70392. Suppose -8*h + a = -3*h - g, 0 = -5*h + 4*g + 35199. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 944 - 949. Let b = -0.7 - -1. What is the closest to b in x, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -17.003. What is x rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -10) + -12 + 9 + (-3 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 7*d - 66 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 g when three letters picked without replacement from {d: 1, j: 1, g: 3, z: 9}?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 9:51 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-506)\/(-385) - (2 - (2 + -3))*(-494)\/(-570)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 - 7*s**2 - 26*s - 108. What is k(-5)?\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1685855.588 to the nearest 1000.\nAnswer: -1686000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -829.0947 + 839.9950552. Let d = n - 10.9. Round d to 5 decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*g + 544, 0 = -4*a - 5*g - 41 + 1132. Are 270 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-28 - (-48 + -31))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 12:54 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, o: 2}. What is prob of sequence tt?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*u - 4*o, 0 = -2*u + 3*o + 13 - 2. Let z(d) = 2*d**2 + 4*d - 7. Let x be z(-9). What is the greatest common factor of x and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 434.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(84\/370 + (-6)\/30). Let n = -32\/185 - d. Let a = -11\/30 - n. Calculate the common denominator of -45\/2 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191686049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a. Let c be (-6)\/33 - 18\/22. Let m = 0 - c. Suppose 3*b = 4 - m. Determine h(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 16*m**2 - 14*m + 54. Let f be i(-17). Suppose -f*b = 3*c - 264, -4*c + 2*b + 72 = -310. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 6*h + 2. Suppose -b - 7 = -5*p, p = -b - 4 - 3. Determine m(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1691496 is divided by 1527.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 1\/15*b**3 - b**2 + 1\/60*b**4 - 1\/300*b**6 + 0*b - 1\/150*b**5 + 0. Suppose j(o) = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-1 + 11\/8). Let i(r) = -r + 17. Let u be i(t). Solve -3*y + u = -0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 7:39 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2+0.00095\nAnswer: 2.00095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01192703 to five dps.\nAnswer: -0.01193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 117839102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = 4*l + 7*o, -2*l + 2*o - 768 + 369 = -353 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by 44.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63*v**2*z + 15*v**2 + 2*v - 44661*z - 278924 with respect to z.\nAnswer: 63*v**2 - 44661","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from cyyyyyrcyrrr.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(1539) + 0)*-5 + (sqrt(1539) + 3*sqrt(1539)*6)**2)*3 + 0)*-4.\nAnswer: -3240*sqrt(19) + 40001688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 68*z - 2798. Calculate r(41).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10777, 10772, 10763, 10750?\n\"Answer: -2*q**2 + q + 10778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + b**2 - 4*b**2 + (b - 6*b + 2*b)*(0*b + 0*b - 2*b))*(-217*b**2 + 286*b**2 - 262*b**2).\nAnswer: -772*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -126.3 and -144691788012.\nAnswer: -144691788138.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/6 - 2\/6. Let g(q) = q**3 + 6*q**2 + 5*q + 4. Let y be g(v). Solve r = -y*r - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 159886\/65 + -2459. Let l = a + -18\/13. What is the closest to l in 1, 4, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68342 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2 + 218978*y - 11987841121 = 0 for y.\nAnswer: 109489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 3:32 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4 + 1602*k + 855468*k**2.\nAnswer: 3*(1068*k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1015431 is divided by 216.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 2, -0.03, 43, 12\/7, -0.5?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**4 + 0*z**4 - z**4)*(-180 - 205 + 45 - 81).\nAnswer: -1263*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032603 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -23686*c - 1729116. Calculate d(-73).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 380227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 6:00 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**2 - 6*m**3 + 7*m**3 + 17*m**2 + 24*m**3 wrt m.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*k - 2. Let d be k\/(-3) + 30\/9. What is the second derivative of -i + d*i**5 - i**5 - i**5 wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 61.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-195)\/26)\/(-15)*-1*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 + 3*k + 5897. Is y(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4\/5 - 26*v**2\/5 + 24*v\/5 = 0. Calculate v.\nAnswer: -4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q - 50. Let o be a(10). Solve 0 = -5*j + 4*w + 12 + 17, 4*w + 4 = o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 10*w - 18. Let r(i) = i**2 - 2*i - 4. What is the lowest common multiple of r(6) and s(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9*o - 11*o + 10 = 0, 2*o + 17 = 5*v. Suppose -d + 4*z = -2*d, z - 11 = -v*d. Do 40\/11 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142 and 42884?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14946*r + 3954*r - 4086*r + 2610*r.\nAnswer: 17424*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1586874584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 3*n**3)*(4280 - 1989 - 1923) in the form u*n**3 + s*n + c + y*n**2 and give u.\nAnswer: -1104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 226706539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -60 - 61 - 645*k**2 + 181 - 60 as o + q*k + y*k**2 and give y.\nAnswer: -645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*s = 128*s + 34*s - 1890. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 + w**3 - 2*w**3)*(2*w - 1 + 1) + (4*w - 2*w + 0*w)*(-2*w + 2*w - 2*w**3) + w**4 + 1 - 1 - 3*w**2 - 3*w**4 + 3*w**2 + 4*w**4 + w**4 - 4*w**4.\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23 - (5\/(-1) + 14) and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -0.00103 (c) -8\/7 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g + 9*g - 11*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m + 6. Let j(x) = 8*x + 12. Let b(v) = 4*j(v) - 9*y(v). Let f(t) = 3*t + 7. Let w(d) = 2*d + 7. Let k(c) = 3*f(c) - 2*w(c). Give 7*b(q) + 6*k(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/17? (a) -1 (b) 3\/2 (c) 2\/9 (d) 0.3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17\/2 (b) -0.13 (c) -4 (d) 4488\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-10571)\/(-9610)*8\/(-11)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 + -142. Let s = z - -374. Calculate the remainder when s is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**3 + 75*t**2 - 77*t + 54. What is c(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 30 = 7*w. What is the hundreds digit of (w\/(-5)*-1 - 0)*184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313037 is divided by 182.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 103 = -3*p + w, 3 = -w. Suppose -4 - p = -2*s. Solve -2*k = k - s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.3962*-14.\nAnswer: -103.5468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 157*k**2 - 1226*k + 15491. Give x(-165).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -298, -2259, -7580, -17941, -35022?\n\"Answer: -280*r**3 - r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64692 and 216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/5))**(-1\/3)*(b\/(b*b*b**0))**(2\/31)*((b*(b*b**(-2\/9))\/b*b*b)\/(b\/(b\/(b**(1\/4)\/b))))\/(b**0\/(b*b\/(b**(-3)\/b))) assuming b is positive.\nAnswer: b**(50201\/5580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 10*z**3 + 4*z**2 + 21*z + 13\/3*z**4 + 0. Factor c(j).\nAnswer: 4*(j + 1)*(13*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmmmmkmmkkm. What is prob of picking 1 m and 1 k?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*k - 676 = -700, -2*k = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28955 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.84 + 0.16. Suppose 0*s + 5 = s. Which is the closest to -1\/2? (a) 0.2 (b) w (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3067*q - 1347*q - 3840*q - 898*q + 292864 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4023 - -11023. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 o, and 1 p when four letters picked without replacement from bopobbh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 42, 97, 192, 339, 550, 837, 1212?\nAnswer: 1687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.306*-4981\nAnswer: 1524.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-24) - (-34)\/(-66). Is j < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3186*d**5 - 86*d**3 + 8*d - 344647 wrt d.\nAnswer: 63720*d**3 - 516*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233420 is divided by 233401.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - -2 - ((-5 - (-11 + 8)) + -3).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040785277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**3 - 294*j**2 + 963*j + 5454 = 0.\nAnswer: -101, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.015037?\nAnswer: 0.060148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3858 + 3855. Which is the nearest to 2\/15? (a) 5 (b) 0.4 (c) s (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 49*g**4 - 399406*g**3 + 57024*g**2 + 268974*g + 73359 = 0.\nAnswer: -3\/7, 1, 8151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*c**3 + 3*c**3 - c**3 + 4*c + 3*c**3 to the form f*c**2 + v*c**3 + r*c + a and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 0*h + 0*h**3 + 0*h**4 + 0*h**5 + h**2 - 16\/3*h**6 + 35. Find the second derivative of z(l) wrt l.\nAnswer: -640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2683*i - 28 = 4*c - 2680*i, 0 = c + 4*i - 6 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -0.04, -1.3, 0.4, -0.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21272685 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 3*h**5\/10 - h**4\/12 + 4*h. Give t(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -319 less than -3752.4?\nAnswer: -3433.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/65 (b) -1 (c) -13 (d) -216\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, j: 1, h: 2, c: 1, a: 14}. Give prob of sequence cjba.\nAnswer: 7\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 160513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)\/sqrt(4)*4)**2 + (sqrt(170)*-2)\/sqrt(10))*3.\nAnswer: -6*sqrt(17) + 816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -17*y**4 - 63*y + 13*y**4 + 171*y**3 + 503*y**3 + 201*y**2 + 48*y**5 + 427*y**4 - 35*y**3 = 0. Calculate y.\nAnswer: -7, -1, 0, 3\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**5\/20 - 5*y**4\/6 + 2*y**3 + 7*y**2 + 26*y. Let b be u(-11). Solve 0*o - b = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3463, 10, -2, -3, 1 in increasing order.\nAnswer: -3463, -3, -2, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8298, -16598, -24898, -33198, -41498?\nAnswer: -49798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/4 + -4)*1. Which is bigger: f or 0.24?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccvcvvpcppvv. What is prob of sequence vccc?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -146.64036061 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 1065 = 4*w. Let i = -330 - w. Let y be 18\/i - 2\/(-13). Which is bigger: -2\/19 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 12:27 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 137901.741 rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7*b + p - 10 = 0, 5*p = -3*b - 16. Find the third derivative of -6*z**2 + 7*z**2 + b*z**2 + z**5 wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 927 and 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -224.8 - -174. Let t = n + -4.2. Let s = t - -41.2. Round s to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48105.148 rounded to the nearest 100?\nAnswer: -48100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86789 (base 10) to base 9.\nAnswer: -142042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - b + 15. Let u be j(0). Let f = u + -11. Suppose f*c - 45 = -5. What is the lowest common multiple of c and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + -0.3. Let x = n - -3.4. Let t = -3 + x. Put -6\/11, t, 0.3 in decreasing order.\nAnswer: 0.3, t, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7809, 62858, 212277, 503250, 982961, 1698594, 2697333?\nAnswer: 4026362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 297.5 and 14824.\nAnswer: 15121.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165 and 813593.\nAnswer: 12203895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*x - 21. Suppose -x*j = -7*j. What is the nearest to j in 5, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 331\/2 + (-14)\/28. Let a = u + -112. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6295 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10565 + 258920. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -488886*h*m**2 + 154*h*s**2 + 3*m**2*s**2 + 3*m*s**2 - m*s + 9788*s wrt m.\nAnswer: -977772*h + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*j - 3*i, 4*j = 3*i - 14 + 37. Suppose -j - 10 = -v. Let n = v - -167. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -621*l + 18 = -2*c - 623*l, 0 = l + 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2032516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/((-1)\/(-4)). Let h = 15 + -15.7. Let f = -0.3 + h. Is f <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.63 and -153.\nAnswer: 249.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 11 + 14. Let i be -2 + 6 + -14 + 10. Solve i = -n*b - 12 + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51071576?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 68 (c) 2 (d) -1 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3681.35ml to litres.\nAnswer: 3.68135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(2*l**3 + 4*l**2 - 4*l**2) + 2*l**3 + 2*l**3 - 3*l**3 - 2*l**3 - 3*l**3 + 6*l**3 + (-3 + 2 + 2)*(2*l - 2*l - 2*l**3).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -26 + (-14 + 19 - (-3 + 2))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -3*l + 9, -q - 3*l = 2*l - 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/5 + (-2)\/(-5). Suppose -229*n + 234*n - 25 = 0. Suppose n*x - u*x = 6. Put -1, 2, x, -4 in descending order.\nAnswer: x, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3008736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 168149985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*r - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 6*i + 9. Let t be n(6). Let k(h) = -2*h - 9*h**3 - h**3 + 4*h**2 + 4*h + t*h**3. What is k(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1464542 (base 7) to base 14\nAnswer: 53322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84339992 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -4\/7 (c) -0.06 (d) 6\/95 (e) 3\/2 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 587 * 1.1.\nAnswer: 645.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 25 = 0, x - 3*d - 39 = -3*x. Let m(q) be the first derivative of -q**2\/2 + q - 1. Let z(i) = 4*i + 9. Let j(u) = -5*m(u) - z(u). What is j(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**4 - 2*k**4 - 2*k**4 + (2 - 3 + 2)*(-3*k**3 - 2*k**4 + 3*k**3) - k**2 + k**2 - 2*k**4)*(2 - 3 - 1).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33188384 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1854, -3710, -5566, -7422?\nAnswer: -9278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 10 = -c - v, 3*c - 20 = -5*v. Put -1, 22, c in descending order.\nAnswer: 22, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 11*l = 2. Which is the nearest to 3? (a) 0.2 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.305 times 0.4?\nAnswer: 0.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4154 = 3*x - 14399, -x + 2*m = -6179. What is the thousands digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 9*x - 13. Let r be -1 + (0 - 3 - 2). Let t be l(r). Suppose -t*b - 138 + 1453 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16868 at most as big as 17897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0239 * 0.3.\nAnswer: 0.00717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18843?\nAnswer: 3, 11, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/7 (b) 2 (c) 5 (d) 0.1 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -15 + 12 - 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b + 4. Let x be (4\/(-6))\/(2\/(-27)). Calculate the remainder when m(x) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uupu when four letters picked without replacement from {p: 7, u: 7}.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1616 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(399)\/((sqrt(42)*-2)\/sqrt(6)))\/(2*((sqrt(363) - (sqrt(363) + (sqrt(363) - sqrt(363)*1) + sqrt(363)) - sqrt(3)) + sqrt(3))).\nAnswer: -3*sqrt(19)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2769)\/(-5) + -7*28\/245. Let k = t - 439. Calculate the remainder when k is divided by 42.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 0*q**5 - q**2 - 2\/21*q**3 + 14*q + 0 - 1\/420*q**6 + 1\/28*q**4. Let d(c) be the first derivative of h(c). Factor d(u).\nAnswer: -2*(u - 1)**2*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3487381, -3487394, -3487407?\n\"Answer: -13*f - 3487368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**2 - 6*q - 6. Determine v(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 4*d**2 + 2*d + 5. Let n be y(-4). Let x = n - -17. Solve -u + 24 = -5*q, -u + 0*q = -3*q - x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/4 - 3)*(2 + 4\/(-12))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**3 + 14*u**3 + 7*u**3 + 44*u**3.\nAnswer: 78*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*(sqrt(91) - -3*sqrt(91)*1 - sqrt(91)))\/(5*(sqrt(567) + sqrt(567)*-2)).\nAnswer: -sqrt(13)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (6 - (14 + -6 + 4 + -8)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 7}. What is prob of picking 1 l and 1 b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f + 3*f - 12 - 6*f - f**2 - 7*f. Let o be s(-14). Factor -167*i**3 - i**4 + 167*i**3 + 3*i**2 + o*i.\nAnswer: -i*(i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.98 - 0.02. Let z = -12 - f. Which is the nearest to -6? (a) -3\/7 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 152\/25 and 0.19202 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z**2 + 4. Let c be u(4). Let i = 1718 - 1589. Let x = i + c. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/3 + (-7 - -7) + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1742*v**2 - 11*v + 86 wrt v?\nAnswer: 3484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/1454 and 45.\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28790 rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 6, -3, -1.\nAnswer: -3, -1, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 61*g**2 - 63*g - 147. Calculate the remainder when 1880 is divided by q(-60).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1896*k**3*u**3 - 169*k**3 - 43*k**2*u**2 wrt u.\nAnswer: 11376*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 14.33714 days?\nAnswer: 344.09136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221938 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -485986 or 2065?\nAnswer: -485986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 6. Let j be z(-5). Let p(y) = 4 + 30*y + 9 + 58*y - 12. Is p(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5735263, -5734897, -5734287, -5733433, -5732335?\nAnswer: -5730993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -1838*f**5\/5 - 848*f**3\/3 + 3*f - 1264. Find the third derivative of m(n) wrt n.\nAnswer: -44112*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 11*o + 9. Let s be q(-1). Sort 5, -5, s, -4 in descending order.\nAnswer: 5, s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(14\/10 + -1). Suppose -7 - 8 = 3*f, -35 = 5*k + s*f. Does 2 divide k\/6 + (-13)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(162\/(-27)))\/((-3)\/((-15)\/25))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9147, 18403, 27681, 36981, 46303, 55647?\n\"Answer: 11*p**2 + 9223*p - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2\/5 + 461688*p\/5 - 13322238084\/5.\nAnswer: -4*(p - 57711)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-4) + 23\/4. Suppose 0*m = 4*m + 4*y + 2644, 5*m + 3299 = -3*y. Let c be (-1)\/(-4) + m\/(-56). Solve -2*x = 2*p + c, -4*p = -l*x + 2*x + 16 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from snqedsdqeenssnsdqed.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 54753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3949 - 11.3989. Round c to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48034.45l?\nAnswer: 48034450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -445*711.\nAnswer: -316395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20, -8, 18, 58?\n\"Answer: 7*c**2 - 9*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n - 8*n + 21*n + (-2 + 2 + 2*n)*(-2 + 3 + 0))*(45 - 89 + 47).\nAnswer: 72*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 3. Let t = 6 + s. Let y(m) = 25*m**2 + 1. What is the remainder when y(t) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3677818359 to the nearest integer?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 2)*(-232986)\/116 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.02, -4, 3, 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-7) + (-5052)\/(-42). Let j be (-3)\/(5 + -2) + c\/(-4). Let g = j - -52. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyccuzy. What is prob of picking 1 c and 1 y?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 4*f + 2*j - 7*j, 5*j + 40 = -2*f. Let a be (-18)\/(-15)*f\/(-6). Find the second derivative of 2*w + 7*w - a*w**2 - 5*w**2 - 2*w wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 828793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079860039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, i: 3, v: 1, x: 2, c: 1, s: 3}. What is prob of picking 2 r and 1 c?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 4*c + 11, -3*v + 9 = -8*v - 2*c. Let q be 15\/(-6)*(-2)\/(-3). Let s = v - q. What is the smallest value in 0.2, 4, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -0.1 (b) 77 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.12809 and 0.443.\nAnswer: 0.31491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 6*a**5\/5 + a**3\/3 - 24*a**2 + 108*a. Find the first derivative of v(d) wrt d.\nAnswer: 72*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 218*h**2 - 5*h + 12. Let m be x(3). Suppose 0 = w + 1952 - m. Solve 11 = w*l + 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 394457485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 2 - 7 + f**2 - 4*f**4 - 2*f**2 to g*f**4 + h*f**2 + c + t*f**3 + n*f and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 321 - 31022?\nAnswer: -30101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmi when three letters picked without replacement from {e: 1, i: 1, g: 3, m: 2, k: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 + 6*c**2 + 6*c + 9. Let i(n) = n**2 + n + 1. Let q be -1 + -2 + 6 - 4. Let x(v) = q*w(v) + 6*i(v). What is the derivative of x(z) wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2920000 = -y. Round y to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svvvsryssvsrs. What is prob of sequence svy?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 56 = 13*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9377250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 30.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 18 = -4*n, 2*n - 2*a + 9 = -3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10257 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135 - 78. Suppose 5 = 2*o - q. Calculate the greatest common factor of 217 and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -447 + 63. Let v = x - -383.999999787. What is v rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 4*j + 7*j - 13*j + 5*j + 7*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -230956600 to the nearest one million.\nAnswer: -231000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -10*m + 5*m. Let i = -4 - m. Let f = -12 - i. What is the third biggest value in 0.2, 5, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 4*j - 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.95 + -0.05. Suppose 1 = -72*p + 1. Let d = 55 + -713\/13. What is the nearest to 0 in y, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15463211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/12)\/(4\/(-6)). Let b be h\/(-1*3\/75). Solve u = -4*u + b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -5, 99?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 108 + 4?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 2:22 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 450 divided by 45?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -165*o**2 + 4*o. Let r(s) = 124*s**2 - 3*s. Let c(v) = -3*h(v) - 4*r(v). Let l(d) = -56*d**2. Determine l(c(y)).\nAnswer: -56*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - ((40 - 29) + 63).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1017 = 3*a, 6 - 10 = a. Let u = -332 + s. Solve u*x + 4*r + 8 = 0, -4*r = -x + 5 + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + f + 9. Suppose 4*q = 6*q. Calculate m(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-12)*r**17)\/(r**19\/r**13) assuming r is positive.\nAnswer: 1\/r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or -68?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.6 + -0.6. Let f = -3 + i. Suppose -3*l = 2*l. Is l equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26346269 plus 16?\nAnswer: 15.73653731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-25) + 17\/(-35). Let o be (35\/25)\/(24\/(-10)). Let p = o - -5\/12. Which is the closest to f? (a) 0 (b) 0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 403, 728, 1043, 1342, 1619?\nAnswer: 1868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2002.01 - 2002. Which is the nearest to l? (a) -1\/60 (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (-391 + 409 - (0 + 6))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 210 = -150. Suppose 5*k + p = 738, -309 = k - 3*k - 5*p. Let m = o + k. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 s when four letters picked without replacement from {s: 8, i: 3, x: 5}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h - 20 = 0. Suppose -2*z + 3*k + k = 0, 4*k + 24 = -4*z. Let w be z*(-2 + (1 - 0)). Put w, h, -1 in descending order.\nAnswer: w, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*m**2 + 5*m**2 - 8 + 19*m + 18*m**2 + 8*m**2.\nAnswer: 6*m**2 + 19*m - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 0*a - 78. Let o = a + 106. Suppose -8 = -c - 4, -b - 3*c + o = 0. Is 38 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14382 + 14382.2. Suppose -5*w - 21 = -4*g, -g + 5*w + 0*w = 6. What is the third biggest value in j, g, -0.1, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (26\/8 - 1)\/(3\/228). Suppose -j = -0*j - f - 59, 0 = 3*j - 5*f - u. What is the smallest common multiple of 12 and j?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 532536774?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - q - 2. Let x be p(2). Calculate the smallest common multiple of 20\/(-6)*(-12)\/x and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -13*d. Let c(g) be the second derivative of -g**3\/6 + 21*g. What is w(c(z))?\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 2936?\nAnswer: 2936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20 + 0)*1488\/310. Solve -p - c = 23*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 - -50. Let a(f) = -2*f - p*f + 5*f. Let j(h) = 6*h**2 - 4*h + 4. Let z(n) = -n**2 + n - 1. Let m(s) = j(s) + 4*z(s). What is m(a(b))?\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((0 + sqrt(833) - sqrt(833))*-6 + sqrt(833) + -6*(sqrt(833) + -1))**2.\nAnswer: -41722 + 840*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -0.812233\nAnswer: -8.934563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/5, -54, -3, 3, 256\/5, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -36. Suppose 0 = -3*y - n + 4. Let s be 2\/(-8) + 33\/(-12). Sort -4, y, s.\nAnswer: -4, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -107, -873, 3?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r + 2. Let o(x) = 11*x - 6. Let a(v) = 8*f(v) + 3*o(v). Let k be a(0). What is the common denominator of -1\/2 and (-5)\/(45\/(-8)) - k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.5 take away 17203790232?\nAnswer: -17203790283.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39186854 or 39186868?\nAnswer: 39186868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 272*u + 233*u - 137*u**3 + 139*u**3 to the form f*u + l*u**2 + n*u**3 + y and give f.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4454*f + f**2 - 1487*f - 1479*f - 1488*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2588*j = 2591*j - 33. Solve -30 = -j*s - 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 700740 divided by 687.\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 159, -5, -60, -90 in increasing order.\nAnswer: -90, -60, -5, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*(5376\/630)\/(-64)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 26 = 2*g - 32, 0 = 2*u - g + 3. What is the nearest to u in -1\/17, -0.5, -6, 5?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15c5 - -128?\nAnswer: -149a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-967)\/4835)\/(-2*2\/8))\/(3\/(-65))\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 2*k**2 - 2\/45*k**5 + 0 + 5\/18*k**3 - 1\/240*k**6 - 1\/48*k**4 - k. Factor g(i).\nAnswer: -(i + 1)*(i + 5)*(3*i - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7734 and 834.\nAnswer: 6450156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microsecond in nanoseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71076297 and 4366.\nAnswer: 2183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -314 + 11?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.18 - -2.18. Which is the closest to 2\/3? (a) 3 (b) s (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b**3 + 5*b**2 + 11*b - 5. Let a be o(12). Suppose 7*k - a = -1511. Round k to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-1008)\/27)\/((40\/108)\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -21 + 11 + 18\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 868 or 860?\nAnswer: 868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, -5, -51, -117, -203, -309?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**37\/(k\/(k**(-1)*k*k))**29)\/(k\/k**5*(((k*k\/k**5)\/k*k)\/k)\/k*k**(-1\/2)\/(k*k\/(k*k*k**6*k))) assuming k is positive.\nAnswer: k**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 467790 and 261330.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqn when three letters picked without replacement from nqrnosooonoq?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2 - 2020030*c + 22220088 = 0?\nAnswer: 11, 1010004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*o = 3*o - 28, -2*o = -10. Let d = n + 6. Suppose 0 = 4*f - d*u + 5*u - 4764, -2*f + u = -2374. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31346, -62681, -94004, -125315?\n\"Answer: 6*x**2 - 31353*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 45*u + 10 - 46*u + 2*u**2 - 3*u**2. Let g be k(-3). Let y be (0 - 1)\/((-2)\/g). Calculate the highest common factor of y and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 355 divide 2465120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583 is divided by 146?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4894992ng in tonnes?\nAnswer: 0.0000000000000004894992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 13*f**2 + 0 - 4 as v + m*f + s*f**2 and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 51\/8 (c) -1.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + x**2 - 2*x**3)*(3*x - x + 0*x) + 116*x**2 - 118*x**2 - 3*x**4 - x**4.\nAnswer: -8*x**4 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1102 + 130 = -y, d = 4*y + 4877. What is the hundreds digit of y\/(-5) + 8\/(-2) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82*i**6 + 2*i**5 - 468*i**2 wrt i.\nAnswer: -9840*i**3 + 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196579 is divided by 1425?\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5183 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d + 1038. Let g(w) = -w. Give -6*g(a) - v(a).\nAnswer: -a - 1038","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - -82. List the prime factors of n.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d + 37. List the prime factors of x(7).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31526 is divided by 15726.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -6.5275.\nAnswer: 6.4275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let a be d(-5). Let m = -5 - a. Put m, 3, -5 in increasing order.\nAnswer: -5, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/2916 and 109\/54?\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjeeejjeej. Give prob of sequence je.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(66)\/sqrt(3))\/sqrt(2) + -5 + 4 - sqrt(66)\/(2*sqrt(54))*6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**4 - 3*s + 3*s + (s**2 - 2*s**3 - s**2)*(2*s - 2*s - 2*s).\nAnswer: 7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9686, 31132, 52578?\nAnswer: 74024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m**3 - m**3 + 0*m**2 + 26 - 31 - 3*m**2. Let j(a) = -6*a**3 - 4*a**2 + a - 6. Give 3*j(r) - 4*y(r).\nAnswer: 2*r**3 + 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcv when three letters picked without replacement from {c: 1, v: 12, z: 7}.\nAnswer: 11\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30808?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1642913 is divided by 241.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 85226 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**2*s + 5036*r**2 + 19*r*s + r + 464*s - 2 wrt s.\nAnswer: -r**2 + 19*r + 464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -246c (base 15) to base 10\nAnswer: -7752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -54, -68, -94, -132?\n\"Answer: -6*z**2 + 4*z - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5.4, 29996, -2\/7?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2406 + -175?\nAnswer: -2603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*q = -2 - 7, -3*q = -3*v + 15. Calculate the least common multiple of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + 43221212114?\nAnswer: 43221212132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 45 = 5*a, 0 = 5*w + 2*a - 0*a + 30. Let y = -2 - w. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137764 (base 9) in base 2?\nAnswer: 10100100111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.7 (b) 2155 (c) -0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (190\/(-60))\/19*-2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + 1*sqrt(495))\/sqrt(5) - (sqrt(110) + sqrt(110) + ((sqrt(110) - (2*sqrt(110) - sqrt(110) - sqrt(110)))*1 - sqrt(110)))\/sqrt(10))*2.\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 685981 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 2022, -1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1364, -1283, -5 in decreasing order.\nAnswer: -5, -1283, -1364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1305 and 145?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 230414 + 25?\nAnswer: 230443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/(-250))\/((-24)\/(-10))*-2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 663401636?\nAnswer: 663401641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -129, -137, -145, -153, -161?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.127851, -1\/2?\nAnswer: 0.127851","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -425263 and 0.3?\nAnswer: -127578.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h**2 - 7*h - 7. What is s(-2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1. Let u(f) = -f. Let j(i) = 7*i - 7. Let a(k) = j(k) + 5*u(k). What is -a(p) + 6*h(p)?\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12212231 (base 4) to base 12.\nAnswer: -137a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*d + 110*d + 1602 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 3*x + 0*x + 3*x - 9*x + 11*x.\nAnswer: 2*x - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -48. Suppose -4*y = 5*r - i, 0 - 7 = r - 2*y. Suppose -r*a + 30 = -a. What is the remainder when 51 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/(-3) + (-4)\/12. Suppose o*j - 21 - 24 = 0. Suppose 121 - j = 8*d. Solve -1 - d = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -37*r**4\/12 - 217*r**2. Let m(w) = -9*w**2. Determine b(m(f)).\nAnswer: 666*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1. Let t(h) = 175*h + 3674. Let b be t(-21). Suppose 0 = -5*s - 5*a + 40, -2*s - 4*a + 3*a = -11. Let r(p) = -1 - s - 1 + 2*p. Give b*r(q) - 2*l(q).\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 986981.2 centuries in months?\nAnswer: 1184377440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-2))\/(3\/5*2870\/123)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.59 - 16.99. Let i = n - -16. Sort i, 3, 4 in decreasing order.\nAnswer: 4, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and 5\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*b**2 - 45*b**2 - 54*b**2 + 1287*b.\nAnswer: 2*b**2 + 1287*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00135547 rounded to five decimal places?\nAnswer: 0.00136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l - 7. Let f(v) = 18*v - 15. Let d(b) = -6*f(b) + 13*z(b). Let p(i) = -6*i**3 + 2*i + 3. What is the remainder when d(3) is divided by p(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -32.99999861. Round h to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*a + 47*a - 180*a + 38*a + 49*a - 4570.\nAnswer: -2*a - 4570","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*k + 16, -8 = 4*k - 4*l + 7*l. What is the nearest to 1 in 76, k, -2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llqevq. What is prob of picking 2 l and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 588538*l**4 - 209617*l wrt l?\nAnswer: 7062456*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r + 0*r - 2 + 6*r + (-181 + 181 + 14*r)*(2 - 3 - 1) + 0 + r + 0 in the form m*r + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k**3 + 589*k**2 + 86007*k wrt k?\nAnswer: 30*k + 1178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 51*v + 1\/20*v**5 + v**4 + 1\/2*v**2 - 2\/21*v**7 + 0*v**3 + 1 + 0*v**6. What is the third derivative of t(k) wrt k?\nAnswer: -240*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2*u + 0*u - 22*u - 21*u + 38*u + (-3*u + 3*u - 2*u)*(0 - 3 + 0))*(0*u + u + u).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14428904 to the nearest integer?\nAnswer: 3799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 5867370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 11*r + 13. Let g = -120 - -132. Suppose g*l - 15*l - 36 = 0. What is x(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(y\/(y**(2\/173)\/y*y)*y))))**5)**(-6\/11) assuming y is positive.\nAnswer: y**(5130\/1903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/52, -2\/15, -0.4 in decreasing order.\nAnswer: 3\/52, -2\/15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 895 (b) -1\/3 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7\/5)*j)\/(j*j\/(j**(3\/7)\/j))*(j*j**(-9)\/j)\/(j**(1\/15)*j) assuming j is positive.\nAnswer: j**(-1369\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22217471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x - 1. Which is greater: -1\/90 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + 8. Let d = 20 - 10. Let h = q - d. Calculate the greatest common factor of h and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - y + 1. Let r be g(1). Which is bigger: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -57*f - 17. What is q(-2)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 - -3.8. Which is the second biggest value? (a) 0.3 (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -10*o - 23. Let s be b(-8). Let j be s\/(-7) - 0\/(-5). Which is bigger: j or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 74 + 90. Let k = 11 - d. Let i(v) = v**3 - 2*v**2 + v - 4. Let o be i(k). Solve -1 = -3*m + o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/17279592 and -67\/3552.\nAnswer: 69118368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tktkkkk. What is prob of sequence tk?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 4634460*r + 23172400.\nAnswer: -4*(r - 1158620)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u - 8. Calculate the least common multiple of 3\/(-9) - 49\/(-3) and z(7).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(-8)*y)\/y)**(-1\/32))**6)**(3\/5) assuming y is positive.\nAnswer: y**(63\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6796395 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, t: 4, v: 3, a: 2}. What is prob of sequence tv?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 21*v**2 + 26*v - 16. Let f be u(18). Let s = 1065\/2 + f. Let p(y) = 7*y - 1. Let n be p(2). Which is smaller: s or n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 2. Let t be b(0). Suppose -94 = -0*p + t*p. Let u = -30 - p. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 192291458*k**6 - 41527737*k**2 wrt k?\nAnswer: 23074974960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 3*s**2 + 2. Let n be f(-3). Suppose 0 = -n*h - h + 15. List the prime factors of h*(-1 + (1 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 141 + 28*g**4 - 27*g**2 + 28*g**2 - 26*g**4 wrt g?\nAnswer: 8*g**3 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n + 69. Let u be p(-11). Let z(b) = -408 + 11*b + 209 + b**u - 11*b**2 + 200. What is z(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -48*a - 37. Let z(m) = -2*m - 7. Let r be z(1). Is t(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 197, 5, 2, 2\/11, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(48)*-6) - ((sqrt(4) - sqrt(12)\/sqrt(3))*-6)\/sqrt(2))**2 + (-3*sqrt(4)*-4)\/(sqrt(10)\/sqrt(5)*4).\nAnswer: 1\/72 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, 18, 66, 134, 222, 330?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40034997\/1570 - 25500. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*b + 41*b - 23*b**3 + (-2*b**3 + 1 - 1)*(-4 - 2 + 3).\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7886406125*x**3 - 31553170350*x**2 - 30185205*x - 7220.\nAnswer: -5*(x + 4)*(39715*x + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.776 - 352.3605. Let a = u - -553.1128. Let n = a + -193. What is n rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/5))**(-1\/6)\/(g**6\/g**(-2\/15)))\/((g*g\/(g*g\/g**(-1\/2)*g))**16\/(g**(-2\/3)*g*g**0\/g)) assuming g is positive.\nAnswer: g**(259\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l - 4. Let n(c) = 13*c - 6. Determine -6*n(b) + 11*w(b).\nAnswer: -b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 46190 - 467?\nAnswer: 45723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j**2\/9 + 142*j\/9 - 134\/9 = 0.\nAnswer: 1, 67\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1683 is divided by 825.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -17. Let d(y) = y**3 - 14*y**2 + 19*y + 3. Is d(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -209*l**3*y - 20*l**3 - 10*l**2*y + 2*l*y - l - 1716*y + 82 wrt l.\nAnswer: -1254*l*y - 120*l - 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d - 15. Let o be x(-13). Suppose 14*f - o*f = -430. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3\/8 + 415*a**2\/8 - 20967*a\/4 = 0. What is a?\nAnswer: 0, 174, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/9 (b) -13 (c) -4 (d) 1\/8 (e) -21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8*h**3 + h**2 + h. Give m(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -341 - -460. Let c = -105 + t. What is the nearest to -0.1 in -5, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 + -121.573. Let r = h + 0.473. Put 1\/4, r, 0, 42 in increasing order.\nAnswer: r, 0, 1\/4, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210435 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**3 - h**2. Let w be t(2). Let x be (w\/24)\/(2\/68). Suppose 0 = -3*f + 2*j + 66, -f - 2*j + 13 = -x. Solve 5*v - 4 = -f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 4*w + 1. Let h be l(-5). What is the second derivative of 2*u + h*u**4 + 0*u**4 + u wrt u?\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -873 = -3*a - 3*l, 4*a - 3*a - 276 = -4*l. Let g be 7\/(-560)*-8 + 1971\/(-10). Let t = a + g. What is the greatest common factor of t and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22618 and 36960179?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*b**3 - 51*b**3 + 14*b**3 - 36*b**3.\nAnswer: -126*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + 2 + 2 + 3. Suppose -k*p = -3*i + 87, 3*i - 3*p + 45 = 4*i. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5378355 - -10\nAnswer: -5378345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.05155 - -4.06. Round d to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*q - 87*q - 8 = -n, -3*n = -4*q + 26 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3410, 13860, 31352, 55886, 87462?\nAnswer: 126080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 152.5012321 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000688689931 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {a: 14, b: 5, r: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 995, 2206, 3415, 4622, 5827, 7030, 8231?\n\"Answer: -z**2 + 1214*z - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 0*d - 5*d**2 + 2*d + 8 - d**3 + 8*d**2 + 5*d**2. What is the remainder when v(8) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35 and 21\/22792289.\nAnswer: 22792289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 29*f**3 + 9*f**2 - 11*f + 2. Let t(i) = -i**3 + 15*i**2 + 2*i - 25. Let y be t(15). Is c(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.17 + -0.17. Suppose -5*c + 1 = 2*a, 2*a - 2 = -4*c - 0. Let m be (-10)\/8 + c\/(-4). Which is bigger: m or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, 17, 397, 1137, 2357, 4177, 6717, 10097?\nAnswer: 14437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124179781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2*q + 1)*(-3*q**4 - 16*q**2 + 16*q**2) + (-2*q**3 - q + q)*(q**2 + q**2 + 0*q**2).\nAnswer: -10*q**5 + 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*v**2 - 3*v**2 + 3*v**6 - v**2 + v**6 wrt v.\nAnswer: 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221101 - 10?\nAnswer: 1221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**37\/((a\/((a\/a**(-3\/8))\/a)*a)\/a) assuming a is positive.\nAnswer: a**(291\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230133 - 101031103?\nAnswer: -100200310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/10 (b) 225048 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -287 + 291. Suppose 0 = 4*m - y*b - 4252, -4*b = m + 60 - 1143. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*z - 22, 4 = -n - 2*z + 4*z. What is the highest common divisor of n and 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 14 = -11*n + 3*t, 4*t + 15 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 123*p + 77*p - 6 + 9*p + 2 + 130*p as w + f*p and give f.\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 3 = -2*y + 17, 96371*d - 10 = 96376*d - y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3560\/36045*207\/(-46).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3054 - 0.229. Let l = j - 0.07640587. Round l to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 + -42. Suppose 0*x - 4 = -4*x. Is x*(2 - (z + -61)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76\/5*s**2 - 4\/5*s**3 + 128\/5 - 40*s = 0. What is s?\nAnswer: 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfjjjjbnjjjjbyfjypb. What is prob of picking 2 y, 1 n, and 1 p?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4868105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 0.5, -1\/5, -22?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -27*i - 41. Let z(w) = 59*w + 83. Calculate 13*b(c) + 6*z(c).\nAnswer: 3*c - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 11. Calculate d(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*255.\nAnswer: -1275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) -7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**2 + 2128415*m - 2128410 = 0. Calculate m.\nAnswer: 1, 425682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*y + 20, -3 = -3*q + y - 15. Let s be (30\/8)\/((-6)\/(-16)). Let u be (-7 - -2)*(-2 + s\/4). Is u smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -344118, -688233, -1032348, -1376463, -1720578?\n\"Answer: -344115*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 11165?\nAnswer: -4\/11165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94768 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + -7.4. Let v = -5427 - -5425. Which is the second biggest value? (a) -5 (b) -6 (c) v (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyqiqqqt. Give prob of sequence it.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 5 + (1 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 5*h + 2. Let w be p(5). Let x(m) = 9*m**2 - 3*m - 13. Let q(y) = -7*y**2 + 2*y + 10. Let o(u) = 4*q(u) + 3*x(u). What is o(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.8, 2\/9, 1, -6749, -57?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6661427635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16.31 (b) 0.01 (c) 2 (d) 5.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((19575\/174)\/(-45))\/(5\/206).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11573848728*r**4\/5 - 1886552692596*r**3\/5 - 2502045702*r**2\/5 - 1106119*r\/5 - 163\/5.\nAnswer: -(r + 163)*(2262*r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -14. Suppose 0*u + 4*u = 2*i + 10, -z*i + 19 = 5*u. Suppose 0*l - 48 = -u*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 30*g - 1858. Calculate m(-31).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4317 - 3023. Is l a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l. Let o(j) = 2887*j. Calculate z(o(t)).\nAnswer: -8661*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 121233353 (base 7) in base 13?\nAnswer: 1751423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1274281?\nAnswer: 877, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-3 + -1)**2 + (sqrt(180) - -3*sqrt(180))*-3.\nAnswer: -36*sqrt(5) + 1621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 1:45 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 871 or -15?\nAnswer: 871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**3 - 5*h + 6. Let l be b(3). Calculate the greatest common factor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2522 + 2521.9. What is the third biggest value in 0.4, 10, 4, 3\/5, u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 2 - 2)*(2*l - l - 3*l) + (-2 + 5 - 1)*(-l + 0 + 0) - 184*l - 4*l + 8*l)*((2 + 0 - 4)*(4 - 1 - 1) + 2 - 2 - 1 + 3 + 2 - 1) to u + v*l and give v.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o. Let k(m) = 6*m + 5. Determine k(d(s)).\nAnswer: -6*s + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195300376 divided by -8.\nAnswer: -24412547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 831205188 divided by -99\nAnswer: -8396012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -113, -123, -135, -149?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26352, 52708, 79064, 105420?\n\"Answer: 26356*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3463.686958 to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + ((sqrt(396) + (sqrt(396) + (sqrt(396) - 2*sqrt(396)) - sqrt(396) - sqrt(396)))*1 + -5 - (sqrt(396) + -1 + 1)*-6))**2.\nAnswer: -720*sqrt(11) + 10044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - 2*v**2 - v**2 + (2 - 2 + 3)*(6162*v - 51*v**2 - 6162*v).\nAnswer: -155*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*(-14)\/(-42)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 8145009.\nAnswer: -24435027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 485 or 302?\nAnswer: 302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(75)*-2 - (-2*(1*(0 + sqrt(3) + sqrt(3)) - sqrt(3)))**2) + 4.\nAnswer: -20*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 102*p - 387*p - 247*p)*(5 - 3 - 3).\nAnswer: 534*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m*n**2 - m*n - 17226*m + 1136*n**2 + n wrt n.\nAnswer: -4*m*n - m + 2272*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from {z: 3, l: 5, e: 2, q: 10}?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/12 and -99\/1960.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 139.394 * -13.\nAnswer: -1812.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8849 - 7297 = -414*b for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 273738?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-448 + 281 + 1156 + (6 - 3 - 2)*(-1 - 2 + 1))*(4 - k - 4 + (-4 - 1 + 6)*(-3*k - k + 3*k) + (0 + 0 - 1)*(-2*k + 2*k - k) + k - 4*k + k).\nAnswer: -2961*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7488911*h + 4. Let b be i(-2). Let c = -25677817 - b. Let y be 4\/(-12)*3 + c. Round y to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26844843 to the nearest integer?\nAnswer: 5181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20, -0.5, -3\/11?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1567235*o**3*u**2 + 215744*o**2*u - u**2 wrt o?\nAnswer: 9403410*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/((-20)\/(-12)))\/((-6)\/(-56)). Let y be 15\/w - (-4)\/(-14). Which is the third smallest value? (a) -4 (b) -7 (c) -3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30347122 by 111982.\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 424 - -79. Is 14\/(-21) + x\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51434 (base 7) to base 10.\nAnswer: 12569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 548380 and 75700?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(1*-6 + 3). Let w(c) = -c**3 + 3*c**2 - 1. Let a be w(2). Let h(q) = 6 + 12*q**3 - q + 11*q**3 - 22*q**a - q**2. Calculate h(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**(4\/5)*u*u)\/u)\/u*u**(-2\/3)*u*(u**(1\/4))**(-3\/10)*(u\/u**2*u**7)\/((u*(u*u*u\/(u*u**(-2\/11)))\/u)\/u**(-2\/9)) assuming u is positive.\nAnswer: u**(30311\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 21 = -5*c, -6 = 2*c - 3*a + 5*a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1780, 3576, 5374, 7174, 8976?\n\"Answer: p**2 + 1793*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-211)\/6)\/(2\/(-12)). Suppose -5*v = 21 - d. Suppose 3*g + v - 41 = 0. Solve r - g = 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 - 8*i - 4. Let l be r(5). Solve 4*y = -5*b + 11, -l*y + 2*y - 2*b + 2 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 4 (c) 0.3 (d) 6.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -196 - -201. What is w in 1\/4*w**p + 0*w**4 + 0*w + 0 + 0*w**2 - 1\/4*w**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 785486791 + -1.3\nAnswer: 785486789.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1013669, 1013664, 1013659, 1013654, 1013649, 1013644?\nAnswer: 1013639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2380026275.\nAnswer: 5, 11, 8654641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33308? (a) 2 (b) 2\/7 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/1526 and 119\/9810.\nAnswer: 68670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2418 and 24648.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5959731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 33. Sort 2, -2, a, -11, 4 in ascending order.\nAnswer: -11, a, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 169. Calculate the highest common factor of n and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/27957 and 25\/2331.\nAnswer: 21722589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 6. Suppose 3*p - 4*g + 1 = -10, g + 21 = -4*p. Let t be l(p). Let q = t - -2. What is the greatest common factor of 33 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + 25 - -138 - (9 + 5 - -3).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 6*f**2 - 6*f - 7. Let y be c(-5). Sort y, 3, 2.\nAnswer: y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.749119 kilograms to nanograms.\nAnswer: 7749119000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 6*j + 22. Suppose -580 = -j*a - 2*l, l + 913 = 2*a + 348. What is the remainder when a is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -28\/11, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*i**5*v - 4*i**3*v + 2*i**2*v - 96*v wrt i.\nAnswer: 2280*i**2*v - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a second in milliseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w - 150 = 20*w. Calculate the remainder when 48 is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 54 + -14 - 48?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -46. Let x = -2.9 - 0.1. Let g = -2 + x. Put g, s, 5 in ascending order.\nAnswer: g, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s**2 + 5*s + 5. Let g = 0 + -5. Let j(l) = -8*l**2 + 6*l + 6. Suppose 12*k = 9*k + 18. What is g*j(o) + k*w(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -6 + 8 - (-1 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2344 (base 12) to base 7\nAnswer: -14326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 130?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 392 - 1009. Let p = n - -1052. Suppose -p - 273 = -4*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -29*w**3 - w**2 + 2*w + 3. Give v(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -580 divided by 5480.\nAnswer: -29\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 0*m - 5*m)*(197*m**2 - 1172 + 1172)*(-2*m**2 - 2*m**2 + 5*m**2 + 3 - 3 + m**2 + 1 - 1 + 2*m**2 + (2 - 5 + 1)*(-3*m**2 + 4*m**2 - 3*m**2)).\nAnswer: -1576*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141700 = 44*m - 496256. List the prime factors of m.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197 - 82*s**2 + 197.\nAnswer: -82*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -91.2 and -22972483.\nAnswer: -22972574.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 33325*q + 4832127. Give b(-145).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 14 = -4*g + 2*l, 99*g + 5*l = 100*g - 27 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7600 and 3915?\nAnswer: 5950800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -24*n**2 + 13*n + 9. Let c(p) = -16*p**2 + 9*p + 6. Determine -7*c(r) + 5*q(r).\nAnswer: -8*r**2 + 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10770381.\nAnswer: 3, 398903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -0*a + a. Suppose -c + 5 = 0, a = -5*y + 6*c - c. Let l be 19\/15 + (702\/30)\/(-39). Is y less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-35) + (-20666046)\/(-21) + 2. What is o rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b2 (base 15) in base 4?\nAnswer: -12020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 6:20 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4895*o**2 + 308820660*o - 315445 = 0. Calculate o.\nAnswer: 1\/979, 63089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 42*k**2 + 232*k - 24. Calculate n(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15388 + 8047921\/523. Let q = n - -1121\/13075. Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 8 - 43734300*g + 43734305*g.\nAnswer: 5*g - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5419168, 5419173, 5419178, 5419183, 5419188, 5419193?\n\"Answer: 5*u + 5419163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17633510 to the power of 1\/3, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -47, -81, -109, -131, -147?\n\"Answer: 3*b**2 - 43*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*17\/(18\/(-12)*2). Let q(m) = 6*m - 109. What is q(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3351305 (base 10) to base 7.\nAnswer: 40325366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117786.\nAnswer: 2, 3, 67, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 + 2 = 0. Let b be -7 + 3 - (-12 + 1). Suppose 30 = -2*l + b*l. Solve d*j + 0*j = l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23084 - 18124 = 40*y for y.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000652761 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 3*f**5\/4 + 621*f**4\/16 + 118*f**3 + 117*f**2\/2 - 993. Solve k(i) = 0 for i.\nAnswer: -39, -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170068 is divided by 56127?\nAnswer: 1687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(108)*-1*6)**2.\nAnswer: 62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 472 = 6*i. Let w = -54 + i. What is the greatest common divisor of 2 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in 0, 0.1, -11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -26816249\nAnswer: 5363249.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 4*v + 16 + 12, -2*h + 13*h = v + 6*h + 7 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**3 - 2*o**2 - 10011*o - 67393 with respect to o.\nAnswer: -6*o**2 - 4*o - 10011","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 458711785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 7*c - 6. Let j be p(-4). Let w = j + -4. Suppose -13 = -w*a + 15. What is the least common multiple of a and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4739 (base 12) in base 2?\nAnswer: 1111100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 594028.8897 and -390?\nAnswer: 594418.8897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*j + 3*j**2 - 4*j**3 + 1277 + 0*j**2 - 1276 to b*j**2 + v*j + s + h*j**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/2868327 and -77\/15.\nAnswer: 14341635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 60992 to the nearest 100.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 10. Is (-2 + 1)*(t - 26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002625333 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4127756600?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3117 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84d (base 15) to base 8.\nAnswer: -3521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122577760 and 2680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*w - 17*w + 34*w + 5 - 39*w**5 - 9 wrt w.\nAnswer: -780*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*q - 60. Calculate the remainder when 57 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 20 - 22*s - 230 - 64 - 32*s + 19*s. Does 6 divide l(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1061 = 4*b + 3*t, -6*b + 11*b = -2*t - 1321. Let x = b - -1300. What are the prime factors of x?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -477 - -262. Let t = k - -214. Sort 17, -3, -2, t in descending order.\nAnswer: 17, t, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(104)\/sqrt(2))*3 + -5)**2.\nAnswer: -90*sqrt(13) + 1078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a399a - 3?\nAnswer: -4a39a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 5*z - 3. Let g(j) = 6*j + 8*j**3 - 2*j**3 - 5*j**3 + 3. Calculate -5*g(h) - 6*s(h).\nAnswer: h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/5))**42*((t**0\/t)\/t)**(-2\/9))**(-50) assuming t is positive.\nAnswer: t**(7360\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + -1*sqrt(68) + -5.\nAnswer: -5 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1025, -2052, -3079, -4106, -5133?\nAnswer: -6160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1338 (base 16) to base 6\nAnswer: -34440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 10*u**2 + 1570*u + 14191. Give n(-9).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 949380 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5d56e (base 15) to base 6\nAnswer: 10220405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2227 - -9836. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104 + 6*s + 104 + 104 + 104 - 542 + 110.\nAnswer: 6*s - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 41 = -2*t + 5*n, 3*n = 15. Let z be (-110)\/154 + t\/(-14). Let k = 6.3 - 6. What is the closest to 2\/7 in z, k, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128856 divided by -59\nAnswer: -2184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -709 - -707. Sort 2, 10, -8, k.\nAnswer: -8, k, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -196 - -320. Calculate the highest common factor of t and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.148 - -1.152. Let h = l - 43.3. What is the second biggest value in h, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2652957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13145 = -2363*h + 147836 for h.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-10 + (-5 - -16) + -8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m - 1. Let c be d(-1). Let j = 98607\/12520 + -3\/3130. What is the common denominator of j and (-2)\/6 - c\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x + 6. Let j be b(3). Let c = 20 - j. Solve 6*t = -2 + c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -757812 - 78405 = -27*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18607 divided by 271\nAnswer: 18607\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 3796.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20362, 2, -809 in descending order.\nAnswer: 20362, 2, -809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 7) in base 2?\nAnswer: 111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 5*r - 40 = 0, 256 = 2*k - r + 287 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/478? (a) 4 (b) -2 (c) 1.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 519, 1151, 1779, 2403, 3023, 3639?\nAnswer: 4251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.022295911.\nAnswer: -0.0022295911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 70*w**4 + 102*w**3 + 8*w**2 - 24*w = 0?\nAnswer: -1, -6\/7, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 - 0.26. Let d = h - 0.04. Do d and -5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1643 and 477.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/7 + 38574*g**3\/7 + 372335373*g**2\/7 + 956095164*g + 4300420572.\nAnswer: (g + 9)**2*(g + 19278)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*u)*(-2*u - 2*u + 2*u)*(7*u**3 - 5*u**3 - 15*u**3 + (u + 2*u - u)*(0 + 0 - 2*u**2) + 0*u**3 - 2*u**3 + 3*u**3).\nAnswer: 64*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (77 - 77 - 13*x**2)*(-2*x + 4*x - 4*x)*(2971 + 2934 - 5836) as v*x**3 + a*x + o + g*x**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 8*l + 2. Give z(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(2448) + 1 - sqrt(2448) - sqrt(2448))**2 + 0.\nAnswer: -144*sqrt(17) + 2484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 19970698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 790 and 4582.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*g**3 + 2*g*i + 13*i + 24 wrt g.\nAnswer: 24*g**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10112221 - -3?\nAnswer: 10112230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2470.886mm in meters?\nAnswer: 2.470886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -808*-748.3\nAnswer: 604626.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 + -66.012. Round m to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 0*v**2 + v**2 - 3*v**2 + 0*v**2. Let n(b) = 148*b**2. Calculate j(n(h)).\nAnswer: -43808*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 - 0.09. Let u = -55.3 + 49. Let k = 6 + u. Which is the nearest to j? (a) k (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10\/11)*i**20)**(-2\/45) assuming i is positive.\nAnswer: i**(-28\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-182)\/4394)\/((8281\/676)\/((-21)\/6)).\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-51)\/(-68))\/((-1)\/(-132)). Calculate the highest common factor of x and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29449 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 9*f**2 - 3*f - 35. Suppose -2*c = -5*s + 170 - 133, 0 = 2*s - c - 15. Calculate d(s).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 153*x + 7410 = -37*x for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.3 + 1.4. Let g = r + 2. Let y = 0.109 - -0.191. Put y, 2, g in ascending order.\nAnswer: g, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1826, 4051, 6688, 9731, 13174?\nAnswer: 17011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/38178577 and -58\/5019.\nAnswer: 801750117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 1 = -4*q, 0 = -4*q + 2*w + 2*w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15049.\nAnswer: 101, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.77828418 rounded to 1 decimal place?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p**(-1\/5)*p)\/p)**(-19)*p**8*p*p**9 assuming p is positive.\nAnswer: p**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 64129338 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2405841866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + -1 + -5 + -5. Let s(y) = 3*y + 8. Give s(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjajcqp. Give prob of picking 1 j and 1 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124\/(-8) - (-4*(-75)\/(-40) + 7).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**3\/17 + 28*z**2\/17 + 110*z\/17 + 84\/17 = 0.\nAnswer: -7, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/3, 0.5, -4\/5, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04976 rounded to three decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w, -x + 7 = -3*w + 1. Suppose 25 = x*s - s. Solve -s*v + 2*r = -2*r + 7, 6 = -3*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = 15*w - 53 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2 + (-3 - 1 + 3)*(2 - 3 + 2) - 4 + 5 - 2 - 14 - 6 + 8)*(7*a + 9*a + 2 - 17*a)*(2*a**4 + a**4 + a**4).\nAnswer: 60*a**5 - 120*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 598 = -867*w + 880*w. Calculate the remainder when 87 is divided by w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b + 421. Let t be x(-42). What is the highest common divisor of t and 1121?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-396)\/(-693))\/(((-8)\/(-70))\/(2116\/230))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 14. Suppose -3*n = -f*n - 6. Suppose 2*d - 2*v - 4 = n*v, d + 2 = 4*v. What is the remainder when 22 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 k, and 1 v when three letters picked without replacement from vvtkvvvvtavfatvvata?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -789 by -1.\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3217438575 to the nearest integer?\nAnswer: 56722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -13944827.92 to the nearest ten thousand.\nAnswer: -13940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/18 and (-54)\/(-18) + 49\/(-33).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 861011735 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 4*y + 8. Let f be 3*(0 - 25\/(-3)). Suppose 5*d - f = 2*x, 0*x = x - d + 5. Solve -3*z - 2*z + v = -13, x = -v + y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9930008 is divided by 4965001.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7954216 and 192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 13 + 31 = 0. Which is smaller: -12 or u?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, o: 13}. Give prob of sequence oo.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -11*y + 187. Let z be j(17). Let i(q) = 2*q**3 + q + 6. Let v be i(z). Let u(w) = w**3 - 5*w**2 - 2*w - 8. Calculate u(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/5 in -0.06, 4, -0.4, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + p**2 - p + 3. What is x(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*q + 30*q - 5*w - 37, 5*q - w - 23 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -17. Let n(c) = -c + 3. Let t be n(r). Let g be t*(-1)\/6*9. Solve -19 = -5*i - y, 0*i + g*i = 5*y - 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 11*g. Let l(w) = -18*w - 14*w + 33*w. Calculate l(p(z)).\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1266 - 1238. What is the remainder when 155 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 267*u - 805*u + 265*u + 271*u + 50865*u**3 + u**3 - u**3 + u**3 + (-2*u**2 + u**2 + 2*u**2)*(-2*u + 2*u + 2*u).\nAnswer: 50868*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j - 0 + 14. Suppose s + j*s = 0. Suppose -2*l - 2*l - 2*u + 118 = s, -l + 33 = -3*u. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063710 is divided by 62542.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58? (a) 3 (b) -8172 (c) -2 (d) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6243 - -6249. Calculate the highest common factor of q and 6654.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from {j: 2, f: 3, w: 2, z: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -12812*b + 19. Calculate c(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = b, -2*z - 3*z - 7 = -3*b. Solve 5*l + 6*l - 11*l - l**b + l**2 = 0 for l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqu?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*j - 137. Suppose -4*w + n = j, 4*w + 0*w = 3*n - 39. Is w at least as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 133 + 0.042.\nAnswer: 133.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 + 13*n + 3*n - 85.\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 19*v = 0. Let z(g) be the second derivative of 0*g**3 + v + g + 1\/4*g**4 + g**2. Find the first derivative of z(o) wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 18*q**2 - q. Is 7 a factor of z(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-4) - 85\/10. Let c be v\/((-3)\/(-3)*-1). Let k(d) = 1 - 3*d + d + c*d - 4*d. Give k(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 79502 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8614084771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*p - 6. Let h be ((-10)\/8)\/((-115)\/(-20) - p). Sort 2, -6, h.\nAnswer: -6, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75515537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 868 - 1284. Do -416 and n have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*x**4 + 227*x**2 - 4*x - 16888?\nAnswer: 16*x**3 + 454*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -206.15 - -201. Round r to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 + -584\/9. Which is the second smallest value? (a) -5 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - db1?\nAnswer: -dbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289956 is divided by 67?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47.792 + -48. Round p to 2 decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Let v = -33 + 36. Suppose -s*d = -4*b + 6, b = 7*d - v*d + 12. Solve 2*i = -b - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -20.86\nAnswer: -4.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9925?\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s. Let c(f) = -12*f**2 - 26*f + 1. Determine c(y(u)).\nAnswer: -12*u**2 - 26*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 184861, 184862, 184867, 184876, 184889?\n\"Answer: 2*w**2 - 5*w + 184864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000420686 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 2*l + 2379 - 2341, 3*t - 3*l - 15 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -254\/5 or -4257?\nAnswer: -254\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 18. Let y be ((-10)\/(-10))\/(2 + -1). What is the closest to -1 in h, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0138*0.05\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2.4. Suppose 5*c + 16 = 41. Sort c, 4, p in descending order.\nAnswer: c, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 + -32. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 7) to base 2\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-3)**2 - (sqrt(5) - ((sqrt(540)\/sqrt(9))\/sqrt(12))**2).\nAnswer: -sqrt(5) + 1625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*h + 21*h + 26*h)*(-h + 5*h - 2*h - h**3).\nAnswer: -30*h**4 + 60*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -1, -1\/3, 2, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*n**3 + 2 - 7*n**3 - n**2 + 7*n**3 in the form w*n + u*n**2 + t + k*n**3 and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6389420.4 nanoseconds in days?\nAnswer: 0.000000073951625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -388\/5? (a) 0.2 (b) 2 (c) 1\/4 (d) -0.217 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 + -2 + 4 - (28 - 2))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 414\/5*(48 - 43). Let k be (-38)\/(-72) + 92\/s. Let -5\/4*c**4 - 1\/4*c - 1\/4 - 1\/2*c**3 + k*c**5 + 3\/2*c**2 = 0. Calculate c.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k + 3616 = -471*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*z + 210 = -189, 4*z - 148 = -y. Suppose 2*q + 2*s + 38 = y, -q = 2*s - 41. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-26))\/(2\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p = 190. Suppose -m + 20 = -p. Suppose n - m = -2*a - 0*n, 0 = -2*a - 2*n + 60. Calculate the remainder when a is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.08 times 1138.62?\nAnswer: 4645.5696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -7)\/(299\/(-65) + 5). Let s be -2 - -33*6\/9. Calculate the highest common factor of b and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5 + 20. Let c be (0 - (-22)\/3)*p. Let z = 59 - c. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**5\/15 - 42*a**2. Let j(k) = 28*k**2. Calculate w(j(l)).\nAnswer: 3136*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96*s**5 - 186900*s**2 - 16 + 186900*s**2 + s wrt s?\nAnswer: -1920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**4 - 80*g**3 - 44*g**2 + 344*g + 16. Let n(m) = m**4 - 16*m**3 - 9*m**2 + 69*m + 3. Let o(j) = 16*n(j) - 3*t(j). What is z in o(z) = 0?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 354, 547, 740, 933, 1126?\nAnswer: 1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8c (base 14) to base 4\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52761.\nAnswer: 3, 43, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/920 and 107\/2522.\nAnswer: 1160120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 2*z, -z - 17*s + 14*s + 12 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144000)\/(-325))\/(-32) - -14?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2.9. Let j = 2.5 - -0.5. Let h = j + -1. Sort n, h, -2\/5 in descending order.\nAnswer: h, n, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44411587?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2190*a - 4652*a + 2462*a - 3*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*((-34)\/(-18) - 2). Which is greater: 17 or y?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + n. Let q(u) = -14*u**2 + 13*u**2 - 4*u**2 - 4 - 10*u. Let i(g) = -q(g) - 4*v(g). Is 41 a factor of i(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1320311120 + -13?\nAnswer: -1320311133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 17*a - 67. Give o(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -147\/2 + 1325\/18. Which is the nearest to l? (a) 4 (b) 0.4 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1773 (base 11) to base 7\nAnswer: 6404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 6. Let x be b(4). Let c be (-109 - -3)*x\/(-4). Suppose 5*z + 5*j - c = -3, -2*j = -3*z + 45. What is the highest common factor of 104 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1783502509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18800 by 10.\nAnswer: 1880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(187))\/sqrt(11) - (2*sqrt(833))**2.\nAnswer: -3332 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/252222 and -67\/2017776.\nAnswer: 2017776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2304*l - 3441*l + 23877 = 0 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/317898 and -55\/1134?\nAnswer: 953694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 75. Calculate the common denominator of (106\/i)\/(9\/2 - 4) and -34\/31.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -8 - 24) + 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(-2\/3))\/q)**(-9\/2)*(q*q**(2\/13)\/q)**(-2\/25))**(2\/141))**35 assuming q is positive.\nAnswer: q**(13594\/9165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, 0.05, 0.2, 396?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29070.09m?\nAnswer: 29070090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*u - 63*u + 206*u - 59*u - 19 to y*u + o and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)*-3*4.\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -12*q**2 + 21*q - 28. Give p(2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1007*t**2 - 33 + 724*t**2 - 23 + 687*t**2 + 56.\nAnswer: 2418*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from wwwavwawa?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -1108*t + 11077. Calculate v(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19926 by 3.\nAnswer: 6642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303 (base 4) to base 14.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(2\/4 - -1). Let z = -20663.5 - -20664. What is the closest to t in 3, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1584 and 4326960?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 21. Let l(p) = -p**2 - 6*p - 6. Let g be l(q). Is ((-5)\/2 + g)*-28 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3661.81 millennia?\nAnswer: 366181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5174 and 5642.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -48\/7*a**4 + 48\/7*a - 12\/7*a**5 - 39\/7*a**3 + 39\/7*a**2 + 12\/7 = 0.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/22*((-29)\/(-58) + 6\/(-28))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**3\/3 + 3535*o**2\/3 = 0.\nAnswer: -707, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 4*r**2 + 6*r + 3. Let d(z) = -z + 10. Let p be d(0). Let t = 5 - p. What is k(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -17*o + 144. Let z be p(8). Let a be 2 + 0 - 10\/(-2). Solve -a*h + 3*h = z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*q + 3*t, -5*q - 3091 = t - 3105 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 + 53*t**2\/3 - 282*t + 264.\nAnswer: (t - 12)*(t - 1)*(t + 66)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - -2 - (0 + -22). Let k = o - 7. Calculate the remainder when (-4)\/(-16) - (-166)\/8 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35599 is divided by 217.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*h = 3*h + 15, -1 = s - 2*h. Suppose 0 = -s*i + 9*i - 22. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/3287152 and 31\/859142.\nAnswer: 75604496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28860714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8, -10, -28, -46, -64, -82?\n\"Answer: -18*c + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 775791 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 - 2)*(t - t - 2*t**2) + t**2 - 2 + 2)*(33 - 93 - 35 - 59).\nAnswer: -1386*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32895449773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 3:45 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 15499.1ug?\nAnswer: 0.0154991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -566739943 - -4.439.\nAnswer: -566739938.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -2. Let n = v - -8. Which is greater: n or -23\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31\/10 + 13\/5. What is the biggest value in 0.2, l, -2, -0.25?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84 + 85. Suppose -2*z = -3*v - 5 + d, 5*z = 5*v + 10. Does 24 divide (z\/(-4))\/(-1)*268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 3:01 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 72683257 to the power of 1\/4, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + 1 - (1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 8 + 28. Find the third derivative of 3*g**c - 3*g + 5*g**2 + 3*g wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, l: 7}. Give prob of sequence lllp.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62\/47 + 431\/564. Find the common denominator of p and 43\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = -2*u - 2*o - 160, -13*u - 5*o = -90 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, y: 11}. What is prob of sequence jyj?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2053081\/336986040 + -1\/157765. What is the common denominator of o and 121\/6?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8303115347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 l when four letters picked without replacement from lyllylll.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3940, 3784, 3622, 3454?\nAnswer: 3280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 11 = 5*b, 3*b + 3*i = -2*i + 7. Let t be (b + (-2 - -4))*(-153)\/9. Is t <= -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1778 is divided by 535.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 163*h**2 + 31*h - 25. Let p be x(5). Calculate the highest common divisor of 145 and p.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 15, -53*g + 49*g - 4*x - 604 = 0. Are -158 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**2 - 8*q. Let w(i) = -i**2 - 3*i + 4. Let h be w(-5). Let f(s) be the second derivative of -5*s**4\/12 - 3*s**3\/2 + 150*s. Give h*f(v) + 7*t(v).\nAnswer: 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*k - 332 = -3642 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -28.7. Let m(n) = 10*n - 3. Let i be m(-3). Let t be (-19)\/39 + (-11)\/i. What is the smallest value in -2, t, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3640 - 182?\nAnswer: 349c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 14*f.\nAnswer: 2*f*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 250808027 and 0.1.\nAnswer: 250808027.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.56 + 0.14. Let g = l - 1.5. Let u = -3 - -2. Which is the third smallest value? (a) g (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 2\/29 (b) 3 (c) 382\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3405 + 8250. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 4*w**2 + 31*w - 8. Let y be j(-4). Let t = 31 + -8. What is the remainder when t is divided by (-1)\/((-1)\/25*(-10)\/y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 650 - 14?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1 - 3 - y + 0 as w*y + f and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37741126?\nAnswer: 2, 18870563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 148\/7*w + 4\/7*w**2 + 0.\nAnswer: 4*w*(w + 37)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, z: 9}. What is prob of picking 2 z?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-1.92.\nAnswer: 15.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 76*h = -u - 403 + 495, 4*h - 68 = -4*u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**2 + 2*a + 1. Let w(d) = -5*d**2 + 3*d + 1. Let y(p) = -5*u(p) + 4*w(p). Calculate the remainder when y(-3) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14629293 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -32, -16 in descending order.\nAnswer: 7, -1, -16, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*z + 46 + 331 = 0, 2*z - 730 = -4*q. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - v - 3)*(-3 - 2 + 6) - 4*v - 7*v - 7*v + 1 + 0*v + 1 + v.\nAnswer: -18*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 999*a*g - 3*g + 867 wrt a.\nAnswer: 999*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 + 5*n - 55. What is the remainder when a(7) is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**2\/7 + 184*p\/7 + 2116\/7 = 0.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - -0.54. Let y be (-1)\/1*-5*1. Which is the nearest to 0? (a) -2 (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29739896.\nAnswer: 2, 83, 44789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 6. Suppose 52 = 5*v + 32. Let c(o) be the first derivative of -o**2\/2 - o + 7. Give v*c(r) - t(r).\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -3) + (-3 + -1)\/4. Suppose k + 3*k - 24 = 3*w, 5*k + l*w = 7. Suppose -2*p = p - 12. Solve -y + k*r + 5 = 4*r, -p*y - 2*r = -12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 33.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(704) + -2)**2.\nAnswer: -64*sqrt(11) + 2820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b + 6. Let j(k) be the second derivative of k**4\/12 + k**3 - k**2 + k. Let u be j(b). Are u and -2 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 10*x - 1. Suppose 6*l - 3*l = 105. What is the remainder when l is divided by p(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 19*x - 7. Let w be t(1). Let s(p) = -p**3 + 13*p**2 - 10*p + 8. What is the tens digit of s(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(180\/2)*3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1126 + 1002139\/890. Let f = p + -15099\/27590. What is the common denominator of f and (-12)\/8 + 152\/6?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c - c**3 - 80 + 2*c + 82 + 0*c as r*c**3 + i*c**2 + s*c + g and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*t**3 - 2*t**3 + 19*t**3 + (0*t + 4*t - t)*(76*t + 6*t**2 - 75*t + 7*t**2).\nAnswer: 9*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -286? (a) -2\/3 (b) 12\/11 (c) -17 (d) 1\/5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5885 and -0.28?\nAnswer: 0.16478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21000110101110 - 11?\nAnswer: 21000110101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 2 - (-2 - 1). Suppose -s*x = x - 44. What is the smallest common multiple of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -0.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 5:48 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -117, -11, -705 in descending order.\nAnswer: -11, -26, -117, -705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02537948 to four decimal places.\nAnswer: 0.0254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-1)\/((-4)\/4)). Find the second derivative of 5*c**4 + 0 - 6*c + u wrt c.\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 5*g + 5, g = 2*s - 57 + 58 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/10 (b) 2\/9 (c) 74 (d) 3 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/128 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/800*5\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a century in decades?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1216*c + 1. Is b(-45) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -177176*w**2 + 3036285 wrt w?\nAnswer: -354352*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-4)*2\/9. Let p(l) = 2*l**2 - 28*l + 25. Let x be p(13). Which is greater: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211112 (base 3) in base 15?\nAnswer: -2a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 4014 = -402. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-1 + -5 - 1). Let v(s) = -34*s**2 - 122*s + 28. Let k(c) = -23*c**2 - 81*c + 19. Let z(h) = f*v(h) + 8*k(h). Determine d so that z(d) = 0.\nAnswer: -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98106\/187627 - 234\/407. What is the common denominator of s and 73\/6?\nAnswer: 2766","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -0.09 (c) -1\/3 (d) 0.229 (e) 2 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29103 and 2943?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t - 7. Let u = -25 + 45. Suppose 3*i + i - u = 0. Let w be g(i). Solve -3*q + 5 = -w*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 87 = 425. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/320 and -67\/7500800.\nAnswer: 7500800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(1 + 2) - 969\/(-153)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a. Suppose -16 = 3*h - q, 0 = -5*h + 3*q - 32. Let m(u) = 5*u. Give h*m(i) + 7*n(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 2b5792e?\nAnswer: -2b5792f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.03 - -259.03. Let f = n - 352.8. What is f rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9416 is divided by 312?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 5. Let w be l(7). Let a(y) = 6*y - w*y + 1 - 2*y - 3*y. What is a(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52908?\nAnswer: 2, 3, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v - 16*v - 2 - 2*v**3 + 10*v + 0 + 12*v**3 - v**2 in the form q*v**2 + n + r*v**3 + g*v and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*y + 12125 = i, 5*y = 4*i - 48500. What are the prime factors of i?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 457 + 408 = -4*a, 5*y - 4430 = -a. What are the prime factors of y?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 12\/7 - 222\/42. Let y be ((4 - 0)\/20)\/(2\/r). What is the third smallest value in -5, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00268123962 to six decimal places.\nAnswer: 0.002681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 2:58 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 170485.7 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/6*(-9)\/(-12)*2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0944 from 5.\nAnswer: 4.9056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 10*a**3 + 190*a**3 - 37*a**3 + 115*a**3.\nAnswer: 258*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 957302762 a multiple of 974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7202156 divided by 172\nAnswer: 41873","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t**5 - 3*t**5 - 2*t**5 + (-3*t**2 - t**2 + 2*t**2)*(-2*t**3 - 5*t**3 + 5*t**3) - 6*t**5 - 6*t**5 + 3*t**5 + (-2*t + 0*t - t)*(-t**4 + t**4 + 2*t**4).\nAnswer: -9*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 369158*t**3 - 7*t**2 + 23937*t wrt t.\nAnswer: 2214948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 14) in base 2?\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1727610648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**2 + 6. Let d(f) = 3*f**2 + 5. Let h = -28 - -23. Suppose -7 - 1 = 4*o. Let b be ((-6)\/o - 2) + 5. What is b*d(w) + h*u(w)?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*q - 678 + 148 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4)\/(y\/(y*y**(3\/2))))**(-5\/12))**(-2\/103) assuming y is positive.\nAnswer: y**(25\/2472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1133820 and 60?\nAnswer: 1133820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 175638 - 275476354\nAnswer: -275300716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 4. Give t(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*m**2 - m**2 - 4*m**2)*(2*m + 33*m - 10*m - 71*m) to g*m**3 + i + q*m**2 + v*m and give g.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2685286 is divided by 2685274.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -90*q - 627\/7 - 3\/7*q**2 = 0.\nAnswer: -209, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 7*x**2 + 0 - 2*x**2 - 2*x**2 to t + p*x + y*x**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6*s - 9. Calculate k(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.45, -0.5, 6, 4, -3656\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 53?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 1216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000101110110 - 0?\nAnswer: 1000000101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4038 + -4042. Sort l, -1\/43, 4 in increasing order.\nAnswer: l, -1\/43, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*k = 4*k. Put -20, -4, k in decreasing order.\nAnswer: k, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2 + 75*d - 2901. What is u(-46)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -794*t - 847*t + 46*t**3 + 2483*t - 842*t.\nAnswer: 46*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15546337 (base 9) in base 5?\nAnswer: -3442010224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 17. Let q be c(-14). Suppose q*w - 5 = -0*j - j, -w = 3*j - 7. Let h = 7 + w. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*z**3 - 349*z + 349*z + 8*z**4)*(-1 + 4 + 1) as o*z**2 + p*z**4 + g + w*z**3 + r*z and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0256 + -0.4316. Let y = -0.40597875 - h. What is y rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136 + 135.8. Let d = 29 + -71. Let l = d - -42.4. Which is the second biggest value? (a) r (b) l (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 6*u + 7. Let y be o(-5). Suppose 0*t - 10 = -2*j - 2*t, -y*j = -4*t - 4. Calculate the highest common factor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51248 divided by -16.\nAnswer: 3203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17969*z + 3185 = -18018*z for z.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3734 or 1?\nAnswer: 1\/3734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-2)*(-15)\/(-285).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 + 91. Suppose -v*w = -4*d - 16, -3 = -w - d + 5. Solve 3*m - 4 = w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -361*q - 8668. Let w be g(-24). Sort w, 2, 182, 4 in ascending order.\nAnswer: w, 2, 4, 182","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f + 225 = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -13*o**3 + 6*o**2 - 8*o + 6. Let j(p) = 27*p**3 - 13*p**2 + 15*p - 13. Let h(c) = -13*a(c) - 6*j(c). Find the second derivative of h(l) wrt l.\nAnswer: 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880)*-1)\/sqrt(9) - (1 + sqrt(55)\/(sqrt(55)\/sqrt(5))).\nAnswer: -9*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1\/6 (b) 4144 (c) 3\/7 (d) 3 (e) -0.39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**6\/120 + g**5\/12 + g**4\/24 + g**3\/6 + g**2. Suppose -13 = 3*v + 40*k - 39*k, 4*k = -3*v - 7. Give i(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, 1\/4, 11, -0.02?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1405 - 1400. Let m(r) be the third derivative of r**5\/60 - r**4\/24 - 3*r**3\/2 + r**2. Is 11 a factor of m(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -119*m**2 - 6*m - 12. Let u(k) = 4403*k**2 + 221*k + 442. Give 221*l(f) + 6*u(f).\nAnswer: 119*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -120447, 0 in descending order.\nAnswer: 2, 0, -120447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26251 + 10?\nAnswer: -26241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -3*d + 26, -d + 75 = -2*t + 78 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1215431 - -33?\nAnswer: -1215365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 8 + (17 - (-2 + -11 + 24))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569975?\nAnswer: 5, 7, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**11*j*j*j**(-7))**(2\/31) assuming j is positive.\nAnswer: j**(12\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 17*t + 54. Let q = 5 - 8. Let l be 2 + t + (q - -4). Put l, 2, -3 in decreasing order.\nAnswer: 2, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3454 rounded to 2 dps?\nAnswer: 5.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 6*x + 6. Suppose h = 2 - 8. Let m be g(h). What is the second derivative of m*c**3 - 5*c**3 + 2*c + 0*c wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**5 - c**4 + 15*c**3 - 33*c**2 - 2021*c - 28.\nAnswer: -20*c**3 - 12*c**2 + 90*c - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-120)\/(-96)*(-3)\/(60\/26). Let c be 32\/(-14) + (1 - (-25)\/(-35)). Is v less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**2 + 7*v - 1. Let o(x) be the second derivative of -x**4\/6 + 2*x**3\/3 - x**2\/2 - 14*x. Determine 5*o(q) - 3*r(q).\nAnswer: 2*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-60))\/((-1)\/3). Suppose -25 = -3*g + 17. Suppose 17*t = 3*t - g. What is the nearest to 1\/3 in k, t, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 648647\/252 - 2574. Let k = 8 - 7. Which is bigger: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 24*b**2. Let w(i) = 49*i**2 + 14069*i. Give w(z(y)).\nAnswer: 28224*y**4 + 337656*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = 2*p + k - 108, 4*p - 2 = -8*k + 5*k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2752.14 + 2761. Round x to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipippbpbbp. Give prob of sequence ib.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 408 and 240.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 82*x**2 + 52*x + 19. Is k(-8) a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 57164.89.\nAnswer: 57164.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81496760?\nAnswer: 2, 5, 2037419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 12:11 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**3 + 242*t**2 - 3*t**4 - 7*t**4 - 241*t**2 - 2 - 2*t + 1 to the form k*t + p + g*t**2 + s*t**3 + r*t**4 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*g**2 - 5*g**3 - 137*g**2 + 4*g**3 - 27.\nAnswer: -g**3 - 194*g**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2128619*p**2 + 2*p + 512689.\nAnswer: 4257238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26902 - -26902.0000093172. Round y to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-4)\/12))\/((-351)\/(-26)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 11) to base 6.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 111202112101210 (base 3) to base 5\nAnswer: 3333003030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.9465, 12, -22.62?\nAnswer: -0.9465","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5145 and 26355?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -1 - (-13 - (-2 - (21 + -47)))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3195851*o**4 + o**3 - 2535157*o**2 wrt o?\nAnswer: 76700424*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 70 = -10*a. What is the smallest common multiple of a and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6955633 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1535815425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76*v**3 - 1394 + 1394 + (-v**3 + 2*v**3 + v**3)*(-3 + 3 + 2).\nAnswer: -72*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 61\/360?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1147, -1153, -1159?\nAnswer: -1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226 = n + b, 0 = -n - n - b + 450. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**2*w**3 - 10*q*w**3 + 186*w**3 with respect to q.\nAnswer: -2*q*w**3 - 10*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.1, -0.15, 12 in descending order.\nAnswer: 12, -0.1, -0.15, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -45 (b) -5 (c) 0.4 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8887 times -0.01?\nAnswer: -88.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1510, 1\/58, -10, 0.1, -1\/9, -2\/9?\nAnswer: -1510","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -12*c**3 + 2*c**2 - c - 2. Suppose 4*a - 130 = 3*u, -5*a + 2*a - 4*u + 110 = 0. What is the remainder when a is divided by y(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 367*a - 3. Let f(q) = -201*q + 3. Let j(l) = -3*f(l) - 2*r(l). Let n(o) = 4*o**2. Determine n(j(x)).\nAnswer: 68644*x**2 + 3144*x + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 - -175. Suppose 4*r + 37 + u = -2*t, 0 = -2*t - 3*r - 106. Let h = -82 - t. Is h >= -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.304602 minutes to nanoseconds.\nAnswer: 318276120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - v = -3*r - 9, 82 = 3*r + 27*v + 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -180 + 179.01. Let n = z + -0.01. Which is the biggest value? (a) n (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -3231895 in increasing order.\nAnswer: -3231895, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + 1 + -5)**2.\nAnswer: -24*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*u = 4. Let i be 1\/u - (-9)\/2. Suppose -2*o = -7*o - 25, 5*k = i*o + 120. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 12. Let k = -11 - t. Solve -5*f = -k*f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8024708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17495 (base 10) to base 15\nAnswer: 52b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) -1\/5 (b) -19\/4 (c) 1\/5 (d) -11164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 0, -502, -2 in ascending order.\nAnswer: -502, -5, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 7*h**2 + 5*h - 4. Let w be p(-7). Let o = w + 166. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 773363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 19*g**2 - 12*g + 689. What is j(20)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g**2 + 5502. Let w(n) = 13*n**2. Give b(w(i)).\nAnswer: -1183*i**4 + 5502","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*q - 152*q + 206*q.\nAnswer: -95*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 658 and 4340?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16981775, 33963500, 50945225, 67926950?\n\"Answer: 16981725*u + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o - 444 + 204 + 191 + 49.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9091 + -9089. Let k = 1371\/4 - 341. What is the smallest value in -2\/7, k, q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 882 is divided by 65.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**3 - 25*c**2 - 144*c - 18. Determine p(-11).\nAnswer: 2534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 7. Let u be (w + 2)\/(1\/(-6)). Is (14\/3)\/(u\/(-198)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*r + 12 = 0, 2*r + 4 = 2*m - 2. Suppose 4*o + 89 = 3*n, -n + 13 = -m*o - 15. Calculate the greatest common factor of n and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 89 = -2*z, -4*z = -3*o - 87 - 136. What is the remainder when 206 is divided by z?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3836 divided by -7.\nAnswer: -548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*n + 5*u, -11*u - 3 = -8*u. Let w(z) = 27*z + n*z**2 - 6 + 4*z - 7. What is the tens digit of w(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -300 + 303. Suppose 0 = 4*h + v + 16, 0 = t*h + 4*v + 11 + 14. Sort 11, h, -1, 0.\nAnswer: h, -1, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305237113 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/3*f**2 + 887\/3*f - 254\/3.\nAnswer: (f + 127)*(7*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -11, -17, -1, -262, 3 in descending order.\nAnswer: 3, -1, -7, -11, -17, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1305 and 18000.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 464*m**3 - 5*m**2 + 1269*m + 13862175 wrt m?\nAnswer: 1392*m**2 - 10*m + 1269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106803, 106257, 104777, 101895, 97143, 90053?\nAnswer: 80157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 11) + (31 - 36).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/5 (b) -1.9 (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13456 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24230607 is divided by 249800?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -13*o - 9. Let v(s) = 14*s + 3. Let i(a) = -5*a - 1. Let c(b) = -11*i(b) - 4*v(b). Let h(l) = -18*c(l) + 2*p(l). Let u(y) = -y. Determine u(h(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4)*2*0. Let b be (-4 + a)*(-10)\/8. Suppose 9*s = b*s + 60. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = 2*l. Let y(v) = -v**2 + 4*v + 8. Let k be y(6). Does 5 divide (-16)\/(-4)*l\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 - 4*s + 1. Let t(a) = -a**2 + 1. Let p(m) = -4*t(m) + x(m). Let w be p(4). What is the units digit of 1\/2 - w\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2408167 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-8))\/((-30)\/15)*-24?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20053755.\nAnswer: 3, 5, 79, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**2 - 466108797*n + 466108800 = 0.\nAnswer: -155369600, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*c - 56, 4*d + 29*c = 25*c + 60. Let f(v) be the first derivative of 0*v - d + 0*v**2 + 3\/4*v**4 - 2\/3*v**3. Factor f(q).\nAnswer: q**2*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648737 is divided by 138.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25, 0.057, 4, 12\/19?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 15*o**2 + o + 21. Let q be d(-11). Let w = -251 - q. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 4459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -629, -1089, -1545, -1997, -2445, -2889, -3329?\n\"Answer: 2*c**2 - 466*c - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11176.2 - 11176. Put -0.04, -23, n in increasing order.\nAnswer: -23, -0.04, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*x = 9025 + 4815. Calculate the remainder when x is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 30 = 2*d. Suppose 0*j - d = 5*j + 5*n, -n = -5*j + 3. Suppose -c + 21 + 1 = j. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6064*a**2 - 26*a + 60. Let j be w(-26). Round j to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.1, 137.7, 1\/2, -5\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 1414 = -1186. Calculate the greatest common factor of 572 and r.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -566921, -2267586, -5102029, -9070250, -14172249?\n\"Answer: -566889*f**2 + 2*f - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 0)**2 + 0 - (sqrt(4)\/sqrt(2))**2*5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/5 - 1810596*r\/5 + 2896928 = 0.\nAnswer: 8, 905290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 212.5 - 217.8. What is the closest to 1\/8 in 2, r, 2\/13, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*f + 15*f - 23*f)*(22 + 46 - 9).\nAnswer: 944*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -4, 16, 5 in ascending order.\nAnswer: -4, 5, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-12))\/((-441)\/168) + (47034\/91)\/6\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16863 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 13 = -5*q, -14*q + 11*q + 2*k = -8. What is the third biggest value in q, -1\/2, 60?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 4:54 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 2*y. What is r(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -595, -639, -683, -727, -771, -815?\nAnswer: -859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38842*j - 202018*j - 620501*j.\nAnswer: -861361*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s\/s**(-1\/6))*s*s**(2\/31)*(s\/s**(2\/7))**(-39) assuming s is positive.\nAnswer: s**(-33799\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 5*c + 1159. Let y(a) = 145*a**2. Determine o(y(j)).\nAnswer: -21025*j**4 - 725*j**2 + 1159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 8*q**2 - 7*q - 4. Suppose 5 = 2*d - 9. Let t be r(d). List the prime factors of 6 + (-3)\/6*t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 8:45 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4 + 4686*y**3 - 600888*y**2 + 2342594*y - 1746393 = 0. What is y?\nAnswer: -4811, 1, 3, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 12:41 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**7\/2520 - h**6\/1080 - h**5\/360 + h**4\/72 - h**3\/6 - 3*h. Let y(j) be the second derivative of q(j). Factor y(k).\nAnswer: (k - 1)**2*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 + -0.03. Let w = o + -4. Let n = 37 + -37.4. What is the biggest value in 0.4, w, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 215*l - 91. Let k(r) = -336*r + 137. Let z(t) = 5*k(t) + 8*y(t). Let p be (20\/(-6))\/((-2)\/12). Is z(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2536*u**3 + 1286*u**3 + 1253*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**4\/24 + 10*t**3\/3 + 3*t**2. Suppose 3*d + 5*x = 2*d + 18, -2*x - 63 = -5*d. What is the tens digit of l(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -29*r**3 + 5*r**2 - 2*r - 11. Let u(n) = -10*n**3 + 2*n**2 - n - 4. Let c(o) = -3*l(o) + 8*u(o). Let z be 2*(0 - 1) + (9 - (18 - 12)). What is c(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -286 + 411. Suppose 0 = b + 34 - u. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*l - 2*p - 2, 4*l - 4*p = 36. Suppose 7*i = 9*i + l. Which is the closest to 1\/2? (a) i (b) 0.5 (c) -0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 1 - 1)*(0 + 4 - 3)*(4*v - v + v)*(12*v + 7 - 7).\nAnswer: 48*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 177 * 0.2\nAnswer: 35.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + -3 - (2 - -1). Does 19 divide (1 - (-3)\/(-9))*(f + 115)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234728 to the power of 1\/2, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, r: 3, d: 1, s: 6, u: 4, n: 1}. What is prob of sequence rqu?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -321, -507, -709, -927, -1161?\nAnswer: -1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 173, 8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -141 - -394a62?\nAnswer: 394921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 24626544?\nAnswer: -24626543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3672610?\nAnswer: 2, 5, 367261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0807948 to four decimal places.\nAnswer: 0.0808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178152693?\nAnswer: 3, 223, 266297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 331460537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10a721 + -8a?\nAnswer: -10a7ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**2 - 5*q - 15. Let l(d) = 5*d**2 + 6*d + 18. Let a(t) = 5*l(t) + 6*p(t). Let j(o) = o**2 + 7. Give j(a(i)).\nAnswer: i**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*y = 173*y + 385. Which is smaller: y or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -2, 5, 4, -21, 37 in ascending order.\nAnswer: -27, -21, -2, 4, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9525 and -0.4.\nAnswer: 0.381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hghoohhg. Give prob of sequence oohh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from {w: 1, l: 6, p: 2, b: 5, h: 5, d: 1}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 777346 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18707414087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 36*x**2 - 200*x + 16. Determine q(29).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -256, -96.\nAnswer: -256, -96, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**5 - 14*k**4 - 76*k**3 - 124*k**2 - 86*k - 22 = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 79. What is the remainder when d is divided by (11 - -1) + (-3 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3844790 + 2307*n + 3844790.\nAnswer: 2307*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*o + b, o - 5 = -0*o + 3*b. Let s = o - 4. Calculate the smallest common multiple of (-6)\/(6\/(-2))*3 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 7*v - 10. Let a = -1 + v. Let m(s) = 20*s**3 + s - 1. What is the units digit of m(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((1 - 3) + 3)*3. Let p = 2347 + -2263. Suppose -3*n = j*n - p. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5881 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -8. Suppose k - 4*k + 106 = -o, -o = -a*k + 178. Suppose s = -14 + k. Calculate the highest common divisor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 748, 1500, 2252, 3004, 3756, 4508?\nAnswer: 5260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/11, -0.4, 1, -2, 7 in increasing order.\nAnswer: -2, -7\/11, -0.4, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 3*t**2 + 5*t + 4. Let z be n(-4). Suppose -3*a + 45 = 2*a + 5*w, z = 4*w + 8. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374*u**2\/9 + 9204*u - 4736 = 0. What is u?\nAnswer: -222, 96\/187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/9 - (-11 - -14).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = h + q, -23*q + 25*q = -10. Let a(c) = c**3 + c**2 - c - 4. Determine a(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 12 = 24. Suppose 0 = 3*j - 4*i - 252, i + i - 84 = -j. What is the greatest common divisor of k and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3644 - -3644.11. What is the nearest to -0.1 in 13, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010098635 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 77*x. Let k(l) = 7*l. Give f(k(m)).\nAnswer: 539*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 12696.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from yaiyibaiiyiiybyii?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -229.9 + 230.1. What is the closest to 0.03 in b, -0.1, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b = -52. Suppose -6 = -4*r + b. Let i = 4 + r. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5))**(2\/17)*m\/(((m\/(m\/(m\/m**(-9))*m*m))\/m)\/m)*m*m**(-4))**(-2\/7) assuming m is positive.\nAnswer: m**(1368\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 5618*u + 1 - 5582*u as r*u + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, i: 11}. Give prob of picking 3 i.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (22\/4 + -4)\/((-3)\/(-2)). Suppose -v + 16 = -5*v. Which is bigger: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194 + -180. Solve -4*b = 3*r - 8, -4*r - 5 = 5*b - o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/25 of a second?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -15. Let o(w) = -5*w**3 - 2*w**2 + w + 1. Let p be o(b). Let z = p - 18. Calculate the remainder when 75 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 925383 - -183?\nAnswer: 925566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.22 + -0.02. Let i = 10 + -19. Let m = i - -9. Which is the second biggest value? (a) m (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3386250 (base 9) in base 16?\nAnswer: 1be6bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/1)\/(230\/1495)*-6)\/(-3)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8066992169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.798 + -0.198. Let k = -16.7 + o. Which is the closest to -1\/2? (a) k (b) -0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-5)*i)\/i**(-6))**5 assuming i is positive.\nAnswer: i**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 1649.\nAnswer: 1649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + i + 184. Let s be d(14). Solve q = s*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 - -200. Let j = x + -80. Solve j = -2*g - a + 14, 5*a - 7 = 2*g + 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2907 - 2892. Let q(d) = d**2 + 30. Let i be q(0). What is the highest common divisor of i and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4 - (-429)\/(-52))*4 + 18)\/((-1)\/(-18))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -5. Let o be 4\/(-6)*(-69)\/a. Solve 4*v = -v + 2*w - o, -5*w = 4*v + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11bdc514 - 2?\nAnswer: 11bdc512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.981 + -0.019. Let a = n + 23.999945. What is a rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k. Let u(z) be the first derivative of -4*z**2 + 5. Give s(u(f)).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 9. Is -2 + n + (-1052)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 16 = 4, 0 = -4*t - 3*a + 19. Suppose -10 + 2 = -4*d. Suppose -d*o = -o. Is o > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 14*r + 29. Let a be o(-6). Let f = a - -68. Let w = -2 + 15. Are w and f equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241545?\nAnswer: 5, 248309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of ((-384)\/(-5))\/(-3 + (-165)\/(-50))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(65)*-1 + 2*sqrt(65)*4)\/((sqrt(500) - (sqrt(500) - (sqrt(500)*2 + sqrt(500))))*-5).\nAnswer: 9*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o - 2715 = 8*o - 46835. What is the remainder when o is divided by 146?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 22 = 2*h, 19*t - 3498*h + 3495*h = 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.7 - -3.3. Let h = 232 - 229. Which is the second biggest value? (a) -12 (b) n (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52842608*r**3 + 105685191*r**3 - 52842580*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 4*v, -5*v - 5*q = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1711774.2 + -0.12.\nAnswer: 1711774.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.111 and -0.4?\nAnswer: 6.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*o = -o + 95, -5 = -2*t - 5*o. Suppose t*u = 19*u - 96. Suppose -83 = -2*b + 13. Calculate the highest common divisor of u and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 186 = -2*h, 5*h = 22 - 7. Solve 14*j = 8*j - m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 29 + 29. Let t(q) = -9*q**2. Determine y(t(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297 + 167 = 58*w. Which is the second smallest value? (a) 1\/2 (b) 0.12 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**14)\/((u\/((u*u**10*u)\/u))\/u))\/(u\/u**(-14)*u*u**3))**(-1\/2) assuming u is positive.\nAnswer: u**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45439 is divided by 175.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*q - 1640*q + 1969 + 8661 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -114 divided by -114\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30837187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 3. Let z = 199 + -205. Determine r(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 1:31 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 0*k**2 + 1\/3*k**4 + 0 + 0*k**3 + 0*k = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33434321 (base 5) to base 12\nAnswer: -123503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 6*d + 8. Let b be y(-7). Let z be (0 + 2\/(-3))*3. Sort b, -0.3, z in increasing order.\nAnswer: z, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2ed86 (base 15) to base 14\nAnswer: -3d331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -443\/7 or -66260?\nAnswer: -443\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-15)*36*9350\/2805?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -415*z**3 - 3*z**2 - 5*z - 2. Calculate the remainder when u(-1) is divided by 138.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -158919, -634874, -1428131, -2538690, -3966551?\n\"Answer: -158651*b**2 - 2*b - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 7. Suppose 0 = -4*w + c*w. Solve w*h - 2*h + 10 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1092?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -43*s + 226. Put -12, -2, -3, s in ascending order.\nAnswer: -12, -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80729237352 - -2.\nAnswer: -80729237350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*18617.\nAnswer: -7446.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 8*w**2 - 6*w + 3. Let c be p(8). Let j be 3*(-10)\/(-6)*1044\/c. Let f = j - -259. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28669343052 + -28671957307.99927. Let j = l - -2614213. Let x = j + 43. What is x rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769.866 centimeters in meters?\nAnswer: 17.69866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*n + 657, z - 4*n = -5*n - 129. Let a be z\/76*(-4 + 0). Let b(g) = 5*g - 1. Let l(m) = -11*m + 3. Determine a*b(x) + 3*l(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 6 = 4*d - 18, -2*d - 3*z = -5. Let x(k) = -3*k + 13. Give x(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90 + 85. Let c = -0.3 - -0.2. Let p(j) = j**2 - 8*j - 8. Let f be p(9). Put f, c, o in descending order.\nAnswer: f, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, n: 4, t: 7}. What is prob of sequence nt?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15.5 times 0.2\nAnswer: -3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-598)\/(-4) - (9\/(-6))\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34980 = 186*y - 197*y. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.4664?\nAnswer: -1.3992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(350) - sqrt(350))\/(sqrt(640)*1))\/(-4*(sqrt(21)*1 + sqrt(21))\/sqrt(3)*-5).\nAnswer: -7*sqrt(5)\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 6635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*g**3*w**3 + 47*g**3 + 3*g**2*w**2 - 8*w**4 wrt w?\nAnswer: 48*g**3 - 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(153)*-1 + 3 - sqrt(153))*-4 + -4 + 2)*-4)**2.\nAnswer: -7680*sqrt(17) + 158272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*x - 33*x + 13*x)*((1 + 3 - 6)*(0 - 3 + 1) - 4 + 0 + 2 - 1 + 3 - 3 + 4 - 1 + 0) - 13 + 22 + 21 - x.\nAnswer: -5*x + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 4)*(2*o**2 - 2*o**4 - 2*o**2) to the form h*o**2 + z*o + d*o**4 + u*o**3 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.003, -1\/361, 10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-212*g + 212*g - 29*g**2)*(257 - 642 - 288 - 430 - 131) to the form u*g + k*g**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4290 - -4332. Let t(m) = 7*m - 6. Calculate the lowest common multiple of t(4) and a.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 123498 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.577 rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3689798 - 9?\nAnswer: -3689807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 8*z**2 - 10 - 6*z + 2*z + 0. Let h be ((-6)\/(-15))\/(1\/(-20)). Calculate the smallest common multiple of 8 and x(h).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 103 = -2*c - 3*x, 0 = 4*c + 3*x - 97. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.071 + 4.471. Which is the second biggest value? (a) -0.15 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = 326*f - 330*f, q = 4*f + 9. Put f, -39, -4 in descending order.\nAnswer: f, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 7:40 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-216)\/(-135) + 5*(-2)\/(-25). Let x be (-170)\/(-7) + (-2)\/7. What is the greatest common divisor of x and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 1:57 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226603, 226549, 226419, 226177, 225787?\nAnswer: 225213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = q - 21, 5 + 11 = 4*q + c. Suppose -5*z - 65 = -q*j, 0 = z - 6*z + 5. Let s = 47 - j. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - 2*n + 6. Let a be w(0). Suppose 10*h + a*h - 32 = 0. Suppose 0 = -27*j + 25*j + h. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1058 times 5.76\nAnswer: -6094.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2698.172612 to the nearest ten.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 67 = 3*c + 2*c, 3*c - 3*j - 39 = 0. Let m be 24\/(-9)*c\/(-10). Are m and 4 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54029?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425*y + 10702 = 171777. What is the remainder when y is divided by -3*(-2 - (-89)\/(-3))?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 1)\/((-2)\/9422 - 0). Let h = -2263 - x. What is h rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 2\/3*a**3 + 4 - 5\/4*a**4 + 0*a**2 + 0*a - 16\/5*a**5 - 3\/2*a**6. Suppose p(b) = 0. What is b?\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 605*n + 1243. Calculate the remainder when 1574 is divided by s(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26.76045 times 0.3\nAnswer: 8.028135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12990 divided by -1\nAnswer: -12990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(186\/8)\/(-31).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2008 from 4.\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8 - -1.0195809.\nAnswer: 1.8195809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 6. Let i = 11 - n. Let z = -4.96923 + -0.03077. What is the smallest value in -3\/4, i, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 18*u - 12. What is l(20)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -751.6 take away 0.684558?\nAnswer: -752.284558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -132?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = t + 15, 4*b + 0*t + 4*t = 48. Suppose b = 2*l - 13. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 + -4.68. Let h = j + 4.8. Round h to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*m*q**2 + 323*m*q + 9*m + 5018*q**2 + 10 wrt m?\nAnswer: -4*q**2 + 323*q + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**6\/120 - y**5\/10 - 13*y**4\/12 - 14*y**3\/3 - 42*y**2. What is the tens digit of p(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99583\/18 - 5529. Find the common denominator of d and 55\/156.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*i + 50 = 0, -3*p + 7*i - 2*i + 85 = 0. Suppose 0 = 5*k - p, 0 = 2*x - 2*k - 2. Solve 4*d - 22 = -x*m, m - 10 = -2*d - m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 1643505670?\nAnswer: -1643505672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 20451*z - 20456*z + 24 - 23 - z**4 - z**3 + 2*z**3 as b*z + g + x*z**4 + r*z**3 + t*z**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1140, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 = 4. Let t be 52\/8 + (-2)\/l. Suppose -3*x = -43 + t. Solve -4*d = -d - x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 28. Suppose 4*w - j = -4*f + 9, 0 = -f - 2*w + 8. Suppose -85 = -2*s + 3*o, -31 = -4*s + f*o + 135. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uo when two letters picked without replacement from {u: 10, o: 9}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - (-1 + 3 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.349 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/9 - 22*h**3\/9 - 80*h**2\/9 - 32*h\/3.\nAnswer: -2*h*(h + 3)*(h + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 67, 0.007, -0.4 in decreasing order.\nAnswer: 67, 2, 0.007, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**6\/o)\/o**(-4))**37 assuming o is positive.\nAnswer: o**333","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1434 smaller than 1178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350361?\nAnswer: 3, 11, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0 - (14 - (-5488)\/(-14)). Let b = l + -373. Solve 0 = -2*g - 2*u - 14, -3*g = -b*g + 4*u + 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*v = 84, 0 = 3*u - 2*v + 3 + 47. Let w(l) = l**3 + 17*l**2 - 19*l - 17. Let n be w(u). What is the units digit of (-2)\/(-9) + n*1965\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -19 + -4 + 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 1.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 7:33 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -209 - -414. Is (12\/10)\/(2\/i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1020143 (base 8) to base 15\nAnswer: -551e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -2\/198175539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-2\/15)\/w))**9 assuming w is positive.\nAnswer: w**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1021 + 3?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23812 is divided by 4757?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skssskk. What is prob of picking 1 s and 2 k?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 0)*(-7)\/(-1). Suppose 0 = -3*u + 5 + t. Solve -5*j = -u*j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c - 4*d - 138, -2*c + 123 = -d. Calculate the remainder when c is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 55533, 5, -1, -2\/17, -30 in increasing order.\nAnswer: -30, -3, -1, -2\/17, 5, 55533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*r + l - 2, 2*l = 0. Calculate the highest common factor of r and 354.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Let d(w) = w**3 + 6*w**2 - 4. Let z be d(-4). Suppose z = 6*i - c*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1425*b**3 + 32*b**2 + 18*b + 5. Let l(c) = -713*c**3 + 15*c**2 + 9*c + 3. Let r(h) = -5*l(h) + 3*y(h). Find the third derivative of r(t) wrt t.\nAnswer: -4260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 x when four letters picked without replacement from xzxqzzzwxwzzwx?\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 4. Let k be s(6). Let z be 6\/(-21) - 69\/(-21). Suppose 2*g + 2*q = 12, -5*g + q = -25 + 19. Solve -r - k = 0, -g*m - m - z*r - 21 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 587*d**3 + 35.\nAnswer: 587*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, -1, -96?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/7808438 and 69\/709858?\nAnswer: 7808438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -262 - -608. Let l = 714 - v. Is 23 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 5*a + 34, -2*a + 305*q - 13 = 304*q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 4*l - 52, -847037*c + 5*l + 16 = -847039*c for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9096176 by -1622.\nAnswer: 5608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 5*r - 23, 722*k = 717*k - 5*r + 20 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a - 393. Calculate i(-1).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 12:13 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 5 = -2*g, 3*t + 6359 - 6372 = 2*g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**7\/840 + x**6\/72 + 5*x**3\/3 + 3. Let o(t) be the third derivative of h(t). Find the third derivative of o(k) wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26954\/7 + 3949. Let g = l + -98. What is the third smallest value in -0.2, -4\/9, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.4, -16, 222.138, 1, -1\/3 in increasing order.\nAnswer: -16, -4, -1\/3, 0.4, 1, 222.138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 14 (c) 18.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*n**2 + 3 - 43*n**2 + 13*n - 1 - 14*n to p*n**2 + u + z*n and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 268427 + 4?\nAnswer: 268431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 7785*k - 2978800.\nAnswer: -5*(k + 677)*(k + 880)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652431?\nAnswer: 3, 13, 16729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4 - 81.\nAnswer: -79.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3166 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -841 + 846. Suppose 1289 = -d*f + 4*o + 4721, -5*f + 3417 = o. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*5*(64\/(-10))\/(-4). Let p be (-8)\/(-4) - (i + 6). Solve -2 = -2*d - 3*g + 14, p*g - 24 = -4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 24 - 51 = 0. Is -76 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700 = -0*h - 4*h. Let a = h + -51. Suppose 106 + 28 = 5*g + 2*r, -4*g + a = -4*r. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -130619, -130598, -130577, -130556, -130535?\n\"Answer: 21*h - 130640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5077.1659 to the nearest one hundred.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**2 + 29*b - 149. Calculate d(13).\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 4:02 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -434\/980181 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1905 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - -2 - (3 - -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1147.408 meters to micrometers.\nAnswer: 1147408000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5929696*g - 11859105*g + 5929465*g.\nAnswer: 56*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13963, 27935, 41907?\n\"Answer: 13972*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 7 = s, -10*j + 5*s + 13 = -13*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k. Let n(f) = 53535*f. Let b(z) = 23*z. Let t(s) = -4730*b(s) + 2*n(s). What is y(t(p))?\nAnswer: 1720*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -13*s**3 - 17*s**2 + 13*s - 6. Let f(w) = -34*w**2 + 256*w - 130. Let m be f(7). Let n(y) = 6*y**3 + 8*y**2 - 6*y + 3. Give m*l(x) - 9*n(x).\nAnswer: -2*x**3 - 4*x**2 + 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1551*d - 10687. Calculate a(-7).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 470710 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*t - 5063 - 9241. What is the least common multiple of 14 and t?\nAnswer: 6258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*z + 32 = 0, 0 = -x + z + 3*z + 24. Suppose -2*c - 2*c = x. Is c\/(-6) - 440\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 11*t + 4*a = 8, 3*t - 2*a + 4 = 0. Suppose 2*i - 5*i + 3 = t. Solve q + i = 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 60*l**3 + 3*l**2 - 3*l. Calculate the remainder when 230 is divided by z(1).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195935967 divided by -65311989\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -9. Let u = y + 6. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -344*x - 10. Let p(q) = 115*q + 3. Give 3*c(t) + 10*p(t).\nAnswer: 118*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 918 and 9824742?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -4*c. Let o(n) = n**3 + 2*n**2 + 2*n + 13. List the prime factors of o(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 3*q + 21, -5*q + 2*q = 4*w - 18. Suppose -6 = -3*b + 6, 0 = k - 3*b + w. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 766 is divided by 154.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 5:13 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 1:01 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntdrxtrnvtxt. Give prob of picking 1 n, 1 x, and 1 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(8\/(-12)))\/((-4)\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - h + 5 + 4*h.\nAnswer: 3*h + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 8:00 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9}. What is prob of picking 4 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.052 - 0.072. Let s = 0.55 - u. Let h = -0.4 - s. What is h rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 27 + 1 + 12 + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26803 and 130186?\nAnswer: 911302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2054554 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-10)*(-495)\/66.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -59 - r - 2*r + 59. Let o be n(0). Suppose 203 = 3*v - c, -4*v = -o*v + 4*c - 276. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 - 6. Let l(q) = 8*q**2 - 22. Let f(b) = -6*l(b) + 22*o(b). Let h(u) = -42*u. Give f(h(z)).\nAnswer: -7056*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5577 and 27.\nAnswer: 50193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v. Suppose -5*c - 4*y + 26 = v, 4*c - 2*y = -4*y + 16. Solve -2*q = -c*s - 12, -2*s - 18 = -5*q + 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**4\/6 + 1205*s**2\/2 + 1088*s + 1. Let p(l) = -l**2. Give p(k(v)).\nAnswer: -4*v**4 - 4820*v**2 - 1452025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 7*b + b**2 + 5*b - 45.\nAnswer: b**2 - 2*b - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*l = -43*l - 1170. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54090\/(-6611)*22\/8*-2\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**7\/35 + 13*n**5\/60 + 11*n**2. What is the third derivative of k(v) wrt v?\nAnswer: -144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 + 3*a**2. Let s = 271 + -271. Let o be (1 - 1)\/9 + 3 + s. Let x(g) = 2*g**3 - 4*g**2. Determine o*x(i) + 4*w(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4033 = -16*z + 143569. Suppose -2554 = -25*c + z. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.86 + 1.86. Which is the second smallest value? (a) 1\/3 (b) -27 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 29, 12, -23, -82, -171, -296?\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 289 and 57954139?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1123634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 597910763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 966261 divided by 910.\nAnswer: 966261\/910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 868 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176152980, -176152981, -176152970, -176152941, -176152888, -176152805?\nAnswer: -176152686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 33516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 99285, 396940, 893031, 1587558?\n\"Answer: 99218*u**2 + u + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 124?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**6 - 14*m**6 + 33*m**2 - 12*m**6 - m**6 wrt m.\nAnswer: -2880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.8643252 to 2 decimal places.\nAnswer: 72.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 0, -470 in increasing order.\nAnswer: -470, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1242 divided by 138.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7175545285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1818 or -438474\/241?\nAnswer: -1818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -5. Let s be (-6 + 4)*6\/x. Which is greater: 0.2 or s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 294 and 45?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.025*-0.40352.\nAnswer: 0.010088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 24*f - 4 + 32*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1559382 * -0.1\nAnswer: 155938.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -25 (b) 1\/19 (c) 883 (d) 2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r + 49. Calculate w(2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/215 - -211\/860. Let y(d) be the second derivative of i*d**4 + 5\/6*d**3 + 0 - 1\/20*d**5 + 4*d - 2*d**2. Give y(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3044 and 4578.\nAnswer: 13935432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8, 21, 42, 71, 108, 153, 206?\n\"Answer: 4*n**2 + n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a. Let n(o) = 247*o**2 - 95*o. What is -n(c) + 95*w(c)?\nAnswer: -247*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-120)*(-3)\/(-2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 3. Suppose -3*g - 4*h - 30 = -5*g, -4*g + h + 25 = 0. Solve o*q - 5 = g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 21*h + 20)*(-3*h - 4*h + 6*h)*(9 - 3 + 12).\nAnswer: -378*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 3*d - 17, -11*u + 3*u - d - 13 = -6*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.432811774759 - -0.15.\nAnswer: -2.282811774759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -4. Suppose -l*u = -3*u. Solve t - 3*x + 8 = u, -5*t - 8 = x - 0*x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 38.5. What is the closest to 1\/3 in 5, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -498 - -528. What is the second derivative of 4*d**3 - 4*d + 32*d**3 - q*d + 41*d - 6 wrt d?\nAnswer: 216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4832720892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 172834449 >= 172834448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 7 = -37. Let h = -5 - b. Suppose 0 = 36*o + 30 + 6. Is h less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3355006 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 94552?\nAnswer: -94552.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3476, 2368, 1264, 164, -932, -2024?\nAnswer: -3112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**8\/1680 + q**7\/280 - q**6\/180 + 2*q**3\/3 - 1. Let y(i) be the third derivative of p(i). Let y(s) = 0. Calculate s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1646938 is divided by 548977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r - 91200 = -0*r. What is r rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 47\/15*l**3 + 2209\/10*l**2 + 1\/60*l**4 + 15 + 5*l. Factor y(a).\nAnswer: (a + 47)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 333 - 135. Suppose 21*o - 15*o - 18 = 0. Suppose 3*k = -2*g + 93, k = 5*g - o*k - a. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*x**4 - 3 + 4*x**3 + x**2 + 0*x**3 - 17*x**4 in the form w*x**3 + z*x**2 + b + u*x**4 + o*x and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4402\/22291 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*i + 21 = -157. What is the nearest to 1\/159 in -1, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.31 + 0.01. Let t be (-9)\/6 + (-10)\/(-12). Let s be (-9)\/(-6)*-1*(-4)\/(-12). Which is the second smallest value? (a) s (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100111587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5\/4 - 3*x**4\/4 - 9*x**3\/4 + 15*x**2\/4 - 3*x\/2.\nAnswer: 3*x*(x - 1)**3*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2770937493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.8 + 9. Let k = j - 1.4. Let t = 8 + -6. What is the third biggest value in -3, t, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 612.9 - 661.9. Sort -1, -0.2, t in ascending order.\nAnswer: t, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**3 - y + y.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 9. Calculate v(13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 158340\/19, -3\/55, -4 in decreasing order.\nAnswer: 158340\/19, -3\/55, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2034228*q**4 - 74198041*q wrt q.\nAnswer: 24410736*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*s - 35*s - 118*s + (2 - 3 + 3)*(-3*s + 5*s + 0*s) + 4 - 4 - 2*s + 150*s - 22*s + 137*s as z*s + h and give z.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5))**(-17))**(-3\/4)*(o**0*((o**0\/o)\/o)\/o)\/(o*o**(-1\/2)*o\/o**0*o) assuming o is positive.\nAnswer: o**(-53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q = -2*i + 19, 2*q = -4*i + 18. Let v be ((-30)\/i)\/(10\/(-50)). Let a be ((-20)\/v)\/(-1*2). What is the second smallest value in 1\/2, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 2. Let n(q) = 88*q**3 + 18*q**2 - 6. Let i(s) = -5*m(s) - n(s). What is the third derivative of i(j) wrt j?\nAnswer: -528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32626490?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*f - 22 = 0, -4*g + 2*f - 18 = -0*f. Let v be 37\/7 - g\/(-7). Solve v*r + 2*w - 10 = -2*w, -r + 2 = -4*w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.53 or -0.1?\nAnswer: -1.53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 91399356*a**2 + 61970985*a - 1?\nAnswer: 182798712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0468826272 to four decimal places.\nAnswer: 0.0469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 5*y = -2. Let d be (3 - 5) + y + 2. Which is smaller: d or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -7*h**2\/2 + 17337*h + 148. Is w(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 317312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + -20. Let o = 37 + u. Which is the third biggest value? (a) -1.4 (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 6e70?\nAnswer: 6e6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 3. Let j be d(0). Let v = 8 - j. Let w(a) = -a**3 + 4*a**2 + 4*a + 4. Let i be w(v). Is i at least -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.5 or -1\/4?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 5. Let t(r) = 5*r**3 - 7*r**2 + 22*r + 12. Let u(h) = 43*h**3 - 62*h**2 + 191*h + 105. Let j(c) = 26*t(c) - 3*u(c). Calculate j(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + y**2 + 1. Let t(z) = -5*z**3 - 5*z**2 + 2*z - 3. Determine -3*d(w) - t(w).\nAnswer: 2*w**3 + 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84 by -4261965.\nAnswer: -28\/1420655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o**2. Let f(n) = -5*n. Let k(i) = -14*i. Let j(z) = -8*f(z) + 3*k(z). Determine j(d(t)).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {c: 1, u: 7, a: 1, j: 4, b: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 291490.8 milligrams?\nAnswer: 291490800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 12888.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6965 - 6963. Let z = 0.1 - 0.3. Which is the closest to -3? (a) l (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**7\/1995 + p**6\/114 + 16*p**5\/285 + 8*p**4\/57 - 104*p**2. Factor a(g).\nAnswer: 2*g*(g + 2)*(g + 4)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 21680, 156 in increasing order.\nAnswer: -1, 156, 21680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -169, -541, -1185, -2119, -3361, -4929, -6841, -9115?\n\"Answer: -3*r**3 - 118*r**2 + 3*r - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9, q: 5}. Give prob of sequence ffff.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uumn when four letters picked without replacement from {z: 3, m: 3, y: 2, k: 3, u: 5, n: 3}.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 5:55 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 8 + 7 + -13\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3084 times -198?\nAnswer: -610632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 i when three letters picked without replacement from ipipprfriiiprpprpi.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 16 - 32*w + 26*w - 23 - 15*w**2.\nAnswer: -15*w**2 - 6*w - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((6\/(-21))\/(1\/(-7)))\/((-8)\/12). Let o(p) = p**3 + 3*p**2 - 7*p - 8. Determine o(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) - (-76)\/8. Let b = -20 + w. Let l(q) = q**2 + 3*q - 9. Is l(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**2\/4 - 223*i\/4 + 225\/2 = 0.\nAnswer: -225, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1165 - 4672 + 1949*m**3 + 1171 + 1165 + 1171.\nAnswer: 1949*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + 406 = 5*w. Let g = w - -64. Let u = 24 - 15. What is the smallest common multiple of g and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -1. Suppose -33 = -5*w + 2*i, -15 = -q*w + 5*i - 6. Solve 3*u - w + 1 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -11*a + 7 - 7. Put -87, a, -5, 1 in increasing order.\nAnswer: -87, -5, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-124)\/31)\/(15 - 5). Which is the fourth biggest value? (a) -1\/5 (b) 19 (c) -3\/4 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 16384?\nAnswer: 49152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 5*f**3\/3 + 3*f**2 + 14*f - 2. Suppose 0 = -5*l + j + 36, -2*l = -4*j - 0*j - 18. Does 12 divide b(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 2*d + 68, -10*w + d = -9*w - 15 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 4) + (-5 - -42). Let q = 35 - 19. Let s = g - q. Solve 4*o + 30 = -o - 5*k, 5*k + s = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(30)*3*-4)\/(sqrt(36)\/(-1*sqrt(6))).\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 330, 4, -12, -5, -49, 5 in descending order.\nAnswer: 330, 5, 4, -5, -12, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.0059 (b) 4 (c) 326 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 6*i**2 - 3*i - 20. Let s be b(7). Let q(z) = z**3 - 5*z**2 - 24*z - 1. Give q(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1. What is the derivative of 3 + 4 - 4*n + h - 4 wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 781 - dc3a?\nAnswer: -d499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131.5 - 131. Put -2, 0, z, 1\/169 in increasing order.\nAnswer: -2, 0, 1\/169, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**4\/12 + 231*v. Let t(g) be the third derivative of 13*g**4\/6 + 4*g**2. Calculate t(r(o)).\nAnswer: -52*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -15. Let q(g) be the first derivative of -2\/3*g**3 + 0*g - 3 - 3\/2*g**a. What is the second derivative of q(f) wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8522, 35322, 79984, 142514, 222918, 321202, 437372?\nAnswer: 571434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 2 + 2 + 0 - 1 + (2 - 2 + 1)*(1 - 5 + 5) - 2 - 2 + 5 + 3 - 4 - 1)*(-2*j**3 + 10*j**4 + 2*j**3).\nAnswer: 20*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190 = 4*j + 2*p - 194, -j + 5*p + 12 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50807777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n + 57*n**2 + n**3 + 20*n**2 + 3*n**3 + 76*n**2 as s*n + z*n**2 + c*n**3 + o and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 o when four letters picked without replacement from {o: 4, u: 1, e: 8}?\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 times 222?\nAnswer: -24420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -33, -67, -101?\n\"Answer: -34*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 + 33 + s**4 - s + 4*s**2 + 0*s**4 - 2*s**3 to the form x*s**2 + j*s + w*s**3 + y + v*s**4 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321412.\nAnswer: 2, 7, 13, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 0, 2, -25, -61, -10 in ascending order.\nAnswer: -61, -25, -10, 0, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7810*c**3*o*q - 35*c**3*o + 3*c**2*o*q + 3*c**2*o + 1448*c*o*q + c*q wrt c.\nAnswer: 46860*o*q - 210*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4770 and 6360.\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3427 * 11.\nAnswer: 37697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -171*h**3 - 434*h**2 - 2566*h - 11. What is the tens digit of a(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 172*i + 121.\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/2 + 11*s**3 - 127*s**2\/2 + 106*s - 54.\nAnswer: (s - 2)**2*(s - 1)*(s + 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -49*g**2 + 0*g + 46\/3*g**3 + 0 + 1\/3*g**4 = 0.\nAnswer: -49, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**3 + 40*k**2 - 41*k - 5. Determine g(-11).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*m - 5897776 - 14489703. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*b - 4*d - 15, 0 = 4*b - 5*d + 51. Calculate the remainder when 16 is divided by (b + 10)\/(2\/18).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100110001010110 + -1?\nAnswer: 111100110001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -19*h + 51. What is b(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8131690*g**3 + 218*g - 27180 wrt g?\nAnswer: 48790140*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**4\/4 + 14*u**3\/3 - 15*u**2 + 34*u - 154. Let b be p(-16). Solve 4*v - b*l = -0*l + 8, 2*l = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1007 - 932 + 188 + 378 - 1245)*(1 - 1 - s**3).\nAnswer: 2618*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 + -3 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (-4)\/(-2))\/1*-5557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (12 - (101 + -48 + 14))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5015.0048 + 5019. Let k = h + -4. What is k rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5396 - 5396. Which is bigger: n or 2370?\nAnswer: 2370","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26*(44217\/1326 - 34)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2\/7 + 284*t\/7 - 7040\/7 = 0.\nAnswer: 32, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 + 88. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92128, -1, 1, -574 in increasing order.\nAnswer: -574, -1, 1, 92128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((20\/(-25))\/2)\/((-12)\/120).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -2*z**3\/21 + 2*z**2\/7 + 6*z\/7 - 62. Find g, given that p(g) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*b + 15 + 260 + 1216 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 2. Let z(w) = 6*w + 74. Let t(d) = 3*b(d) + z(d). Is 11 a factor of t(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 12*m**2 + 10*m + 12. Let d be v(11). Let j(q) be the second derivative of q**3\/6 + 3*q**2 + 2*q. Let r be j(-7). Does r = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1*sqrt(48) + sqrt(48))*-1 + -5 + 0 + sqrt(48)).\nAnswer: -30 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2 - 516*b - 2048 = 0 for b.\nAnswer: -512, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 3*f + 2. Let j be (-3 - (2 - 4))\/1. Let y = j + 5. Calculate u(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04631 * -0.75686\nAnswer: -0.0350501866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3919 (base 14) in base 5?\nAnswer: -310034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8*d**2 - 3*d - 9. Let c(a) = 3*a**2 + a + 3. Let g(u) = 11*c(u) + 4*n(u). Let b be ((-2)\/4)\/(1\/6). What is the units digit of g(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*a + 593 - 560 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 8, -3, -6219, 2 in increasing order.\nAnswer: -6219, -13, -3, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 325384351?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -282747, -282824, -282901, -282978, -283055?\nAnswer: -283132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 529384*m**4 + 4*m**2 - 2*m + 25474033 wrt m.\nAnswer: 2117536*m**3 + 8*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 2761?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/32 + 2)\/((-2073)\/11056)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(272) + 5.\nAnswer: 9 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*w + 18, -3*b - 16 = 2*w - 0*w. Let d = 14 + b. What is the remainder when 28 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57307398?\nAnswer: 2, 3, 23, 415271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a + 246 = -43*a - 9*a - 52*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s = -6. Suppose -1188 = -72*u + 75*u. Let k be u\/22*s\/(-4). What is the greatest common divisor of 81 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -4, 0, 1774, 2, 4 in ascending order.\nAnswer: -4, 0, 2, 4, 32, 1774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 3*t + 1. Let r be o(3). Let n be 12\/r*(0 + 1). What is the greatest common divisor of 18 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*o = 0. Suppose -3 = -p - 4. Let n be (8\/(-6))\/(p\/3). Solve o*c - 2*c + 8 = 4*q, -n*q + 6 = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2 - 4. Let r = -1 + b. Let z be (-2)\/3*(6 - (-12 + (6 - -15))). Solve -z*p + 4 = 5*w - 13, -p = -r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 37. What are the prime factors of 4554\/(-99)*q\/2*-1?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 4385207*h**3 + 4385194*h**3 + 3 + h**2 - h**2.\nAnswer: -13*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81*(-40)\/(-1680)*-14.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -1367773631514 and -2.\nAnswer: -1367773631516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4\/5 - 42*z**3\/5 - 4653*z**2\/5 + 6720*z + 384000.\nAnswer: 3*(z - 32)**2*(z + 25)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m - 1380 = 0. Let w = -70822 + 71097. Which is greater: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + 0)**2 - ((sqrt(5) - sqrt(320)) + 3))*6.\nAnswer: 42*sqrt(5) + 2412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 + 189*c**5 - 3 + c**2 + 5 - 8*c + 0 wrt c?\nAnswer: 11340*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + c - 6 - 3 - 2.\nAnswer: c - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, c: 5, h: 1}. Give prob of picking 2 e.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(19\/(-38)*2\/(-1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -186.24 - -186. Which is the biggest value? (a) 0.08 (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-60))\/(810\/(-432))?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 812, 831, 862, 905?\n\"Answer: 6*k**2 + k + 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3541534 and 16756.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 + 69.496. Let b = r - -0.55. Round b to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-24) + 9\/1080. Suppose -o = 3*o - 5*p - 8, 2*o - 4 = p. Which is the second biggest value? (a) o (b) r (c) -5 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 822379.8mm to nanometers.\nAnswer: 822379800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14865?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45b6 (base 16) to base 6.\nAnswer: -214342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-945)\/25)\/((-78)\/(-1040)*-4))\/2?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 157 + -139. What is the common denominator of (13\/390)\/((-4)\/i) and 89\/132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z**3 - 26*z**2 - 4*z + 8. Let k(x) = -26*x**3 + 79*x**2 + 11*x - 22. Let h(c) = -4*k(c) - 11*o(c). Factor h(i).\nAnswer: 5*i**2*(i - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 614079380998.\nAnswer: -614079380987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(2\/11)\/q*q*q))**(-4\/23)*(q\/(q*q\/q**(-6)))\/(q*q**7*q) assuming q is positive.\nAnswer: q**(-3996\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**5 - 2*b**5 - 5*b**5 + (4 - b - 4)*(-2*b**4 + 4 - 4).\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w - 6. Suppose -5*j = 5*t - 15, -3*t = -5*j - t - 20. Let x be (j\/(-8))\/(6\/24). Let h be (x - 0\/2) + 4. Determine r(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 185 = -5*t + 201, -5*t + 10 = 0. Let f = 261 - p. Calculate the remainder when f is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21*(-10)\/(-90))\/((-1)\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 12*w = 7*w - 30, w = 3*x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.5 (c) 6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6710)\/20 - 0 - 2\/4. Let t = y + 392. What is the lowest common multiple of t and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122 and 8845?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6*k + 40 = 0. Let t(d) = -18*d - 6. Let c be t(k). Let m = c - 274. Round m to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1095349\/160 + 6846. What is the common denominator of f and 139\/144?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k + 55. What is the remainder when y(6) is divided by (-6)\/(-27) + (-86)\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -17.2?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*l - 59*l - 807814 = 0. List the prime factors of l.\nAnswer: 7, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*b - 10571 = 659*b + 584*b + 47*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j*m**3 - 705823*j*m**2 - 305*j*m + 26*j + 60 wrt m.\nAnswer: 12*j*m - 1411646*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/8 - (-9)\/(-12). Let z(h) = p*h**2 - 2*h**2 - h**2. Let g(u) be the first derivative of -u**3\/3 - 24. Give g(z(n)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/18)\/((-66)\/297). Sort 852, -3, -0.1, u.\nAnswer: u, -3, -0.1, 852","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 14. Let l be ((-1)\/(-14))\/(g\/12). What is the closest to l in -4, 0, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b - 5*b + 5*b + 286*b + 527*b + 1001*b + (0*b + 3*b - b)*(-4 + 3 - 1).\nAnswer: 1808*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/7 + 1216*l\/7 + 253216\/7.\nAnswer: -2*(l - 772)*(l + 164)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, u: 11}. Give prob of picking 1 x and 2 u.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -5*o**3\/6 - 1224*o. Let t(h) = h - 87. Calculate i(t(y)).\nAnswer: -5*y + 435","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/15*10\/4. Solve 0 = -5*n + 3*s, -t*n + 0*n - 29 = 4*s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d = 6. Find h, given that 0*h - d*h**2 + 2 - 2*h**3 - 4*h**2 + 5*h**2 + 2*h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3721, -3723, -3725?\nAnswer: -3727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 477 and 305757?\nAnswer: 305757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5\/7)\/k**(2\/29) assuming k is positive.\nAnswer: k**(-159\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 707*s - s**2 - 705*s + 2*s**2 - 21. Suppose -3*b - 36 = b. List the prime factors of h(b).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -641, -1068, -1459, -1796, -2061, -2236?\nAnswer: -2303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73.1 + -579.1. Let j = w - -506.4. Which is the fourth biggest value? (a) j (b) -25 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 5*f + 2. Suppose 4*i = n + 22, 4*n + 136*i - 137*i = 32. Calculate the remainder when n is divided by r(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12*(88\/6 + 0). What is the greatest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 211966, 423883, 635800?\n\"Answer: 211917*g + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2. Let d = 78 + -58. Suppose 6*x + d - 2 = 0. Let t(f) = 5*f**2. Give x*t(w) + 4*v(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58183 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 32 = 4*g, 9 = g - 2*p + 1. Suppose -2*b + 6*b - 56 = 0. Calculate the lowest common multiple of g and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 847584 or 847055?\nAnswer: 847055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 2*q - 1. Let h be f(1). Suppose 3*p - 7 = 3*c - 7*c, -4*p + 4*c = h. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(153)*-3 + sqrt(153) - -1*(sqrt(153) + 0))**2.\nAnswer: 18513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 99?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*v + 27*v = -22*v + 665072. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 4*i - 8, -3*i + 7 = -7*m + 11*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -470001?\nAnswer: 470000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*q**3 - 81*q**3 - 623*q**3.\nAnswer: -551*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -388 + 896. What are the prime factors of q?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aggaoaogagg. Give prob of sequence aoa.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13876084 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2113002431 (base 5) to base 13\nAnswer: bbab15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {m: 1, h: 2, p: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 16254553*x**2. Let y(u) = 5*u. Give y(f(z)).\nAnswer: 81272765*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23916356 is divided by 11958169?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -1651?\nAnswer: -14859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 * -118.\nAnswer: 16.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 506.4504 nanometers in kilometers?\nAnswer: 0.0000000005064504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**3 - 3*b**2 - 3*b - 1. Let w be n(-1). Suppose 218 = -w*l - 4*j, l + 12 + 34 = 4*j. Let s = 13 - l. What is s rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34173051\/1681 + 20329. Let g = -31987\/40344 - t. Calculate the common denominator of g and -29\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9688*v - 1095*v**2 + 9688*v to the form t + y*v + w*v**2 and give w.\nAnswer: -1095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 188138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/51663 and 99\/34?\nAnswer: 103326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 724533275*r**2 - 1229969617?\nAnswer: 1449066550*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - 11*h + 3*h)*(4*h - 4*h + 4*h) + 4 - 4 - h**2 + (-2 - 2 + 2)*(-h**2 + 0*h**2 - h**2).\nAnswer: -45*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 minus -18890909807?\nAnswer: 18890909803.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) 1.27 (c) -8\/11 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 7*i**2 - 8*i + 12. Suppose 0 = -2*w + 10. Suppose -3*o + 5*o + 6 = 0, g = w*o + 16. What is the smallest common multiple of q(8) and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/(-7) + (-4)\/14. Let g = 3 + y. Let o be ((-2)\/(-4) - g)*2. Solve o*c + 9 = 3*w, 3*c = w + 4*c - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2 = 2*l - 0, 2 = -2*y - 2*l. Suppose 2*p - 1 = -w, 5*p - 5*w = -1 - 4. Suppose p*u - 62 = -y*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u. Let c(m) = 5*m**2 + 620 - 620. Give c(b(d)).\nAnswer: 80*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.346?\nAnswer: 1.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2574 + 2551.14. Let o = -23 - r. Let b(j) = -2*j + 19. Let n be b(11). What is the third smallest value in n, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74115 - 61500.2. Let b = h + -12749.729. Let o = b + 135. Round o to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 6. Let u(x) = x**3 - 3*x**2 - 4*x - 5. Let l be u(4). Let y be k(l). Suppose 10 = h + 4*g, 4*g = -5*h + 4 - 2. Is h < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 30. Let h be r(16). Suppose 5*m - h = -4. Solve -5*z + m*t = 6*t - 7, 11 = z - 4*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 11 + 1 = 5*o, 3*o + 2 = 4*p. Suppose p*k = -2*k + 64. Suppose 3*i - 5 = k. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170226 is divided by 56727.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, 39, -1.\nAnswer: -137, -1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**4 - 58*n**3 - 443*n**2.\nAnswer: 48*n - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (868\/(-66))\/14 - 48\/792. Let q(j) = -2*j + 2 + j**2 + 4*j - 3*j. Let b be q(0). Put 5, l, b in decreasing order.\nAnswer: 5, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 2\/35305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -13. Let q = -1 + p. Let k(a) = 9*a - 5. What is the smallest common multiple of q and k(3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0*m - 3*m)*(-5 - 4 - 3) - m + 5*m - m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 2:32 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 134, 126, 110, 86, 54, 14?\n\"Answer: -4*y**2 + 4*y + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*s = 28, -7*n + 2*n = -3*s - 22. Suppose -n*f = -6*p + 4*p + 2742, 3*f + 5456 = 4*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120563 is divided by 2624.\nAnswer: 2483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, b: 1, o: 3, t: 6}. Give prob of picking 2 k and 1 o.\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 3*j - 14, 5*j + 0 - 25 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1784116 and -5.\nAnswer: 8920580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33538500 times -0.1?\nAnswer: -3353850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15397347 and 60795.\nAnswer: 4053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*s, 2*c + 13 - 2 = -s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172 - -155. Is 3 + -2*106*o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, z: 7, r: 4, b: 2}. Give prob of picking 2 r and 1 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/25, 2\/167, 0.3, -3, -0.09, 0.\nAnswer: -3, -0.09, 0, 2\/167, 2\/25, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from rrrrrrrrrhhhrrggrr.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 362048.4 months in millennia?\nAnswer: 30.1707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-14) - (2786830\/43)\/((-7)\/2)?\nAnswer: 18517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/103014 and -167\/8880.\nAnswer: 152460720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 > -6711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 817084, 1634175, 2451272, 3268375, 4085484?\nAnswer: 4902599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -54, 84487 in decreasing order.\nAnswer: 84487, 4, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*c - 4*r - 33, 0 = 2*c - 3*r + 11. Let y = 13 + c. Let p(i) = 2*i**3 - 8*i**2 - i - 11. Is p(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5720 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**6\/360 + m**5\/12 + 5*m**4\/24 - 19*m**3\/6 + 14*m**2. Let g(x) be the first derivative of y(x). Is g(5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25413 is divided by 234.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 83. Let y = -199963 - -199893.0172. Let q = m - y. Round q to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8405066 times 12?\nAnswer: -100860792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -2. Let f = a + 2. What are the prime factors of ((-2)\/4)\/(f\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2588*j**2*l**2 - 5*j**2*v + j*v - 3*l**2 - 111*l*v + 26*v wrt j?\nAnswer: 5176*j*l**2 - 10*j*v + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/1982 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3712108.\nAnswer: 2, 23, 157, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129222671, -129222672, -129222673, -129222674, -129222675, -129222676?\nAnswer: -129222677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)*k*k*k*k**9*k*k**7\/(k*(k*k*(k*k*k\/((k\/k**3)\/k))\/k)\/k*k*k))\/((k*k**(2\/5)\/k)\/((k**(-3\/4)*k)\/k)*k*(k**1\/k)\/k*k\/(k*k**2)) assuming k is positive.\nAnswer: k**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*f - 4*f**2 - 109*f.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - z + 3 + 2*z**2)*(-19 + 19 + 12*z).\nAnswer: 24*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + d**3 - 3)*((9*d + 4 - 4)*(-3 - 2 + 6) + (0 - 6 - 1)*(0*d - 4*d + 5*d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*j**2 + 169*j**2 - 141*j**2 - 117*j**2 in the form b + u*j + a*j**2 and give a.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**3 + 2*h**2 + 6*h + 4. Let k be j(-1). What is the units digit of (k - 1490)\/(-5) + 4*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u + 3 = -3*t, 0 = 4*t + u + 15. Let o be ((-48)\/t)\/4 + (0 - 1). Solve g = -f - 2, 0 = 4*g + 2*f - o*f - 17 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Suppose 4*h = 2*w + 3*w + 26, h = -4*w - 4. Let z be -10*(-1)\/(-3)*36\/24. Sort z, h, n in decreasing order.\nAnswer: h, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 - 5\/(-10). Let j = 2 - -4. Suppose g = -h - h + j. Solve -q - h*q + 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w - 41*w - 8 + 16*w)*(-19 + 19 + 5*w**3)*(5*w - w - 2*w).\nAnswer: -170*w**5 - 80*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -724, -834, -942, -1048, -1152?\n\"Answer: i**2 - 113*i - 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 8*a - 36 = 0. Let t = a - -15. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**2 + 4*u + 25. What is the hundreds digit of q(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**2 - 4*h - 2. Let s be q(3). Let l(f) = -f**2 + f. Calculate l(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 + d**3 - d**3)*(-4 + 6 - 1) - 28*d**3 - 759*d**3 + 200*d**3 + d**3 + 5*d**3 - 3*d**3.\nAnswer: -582*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2319998.\nAnswer: 2, 59, 19661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*b = 35*b + 1395. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by -2323.\nAnswer: -48\/2323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -2, -12 in decreasing order.\nAnswer: 1, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.03 - 0.03. Let m(r) = -r**3 - 7*r**2 - 8*r - 9. Let k be m(-6). Suppose k + 0 = p. Put x, 0.5, p in descending order.\nAnswer: p, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -91\/4. What is the third biggest value in q, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 7. Solve -k*y + 2 = -3*l + 5*l, -4 = -3*y + l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w**2 + w - 4. Calculate the remainder when 36 is divided by y(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*o + 10*o + 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiimimmmmi. Give prob of sequence mi.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -12*o - 48. Let a be g(-14). Calculate the highest common divisor of 32 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 750, 2781, 6740, 13269, 23010, 36605?\nAnswer: 54696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -995*i**3 + 1996*i**3 - 998*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -22447362132?\nAnswer: 22447362132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -142 - -145. Suppose -h*i = -7*i + 8812. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1658, -1640, -1596, -1514, -1382, -1188, -920?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**3 - 604*l**2 + 5124*l + 5724 = 0.\nAnswer: -159, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 508259*h*w**3 - 8*h*w - 319*h + w**5 + w**2 - 3 wrt w.\nAnswer: 3049554*h + 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n = -0*n - 1615. Is n <= 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 5*u**2 + 3. Let g be r(5). Suppose 5*z + 0*m - 240 = 2*m, m = g*z - 143. What is the remainder when z is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4386519*d**6 - 2217229*d**2 + 2*d?\nAnswer: 526382280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111100 (base 2) in base 7?\nAnswer: -1052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, 5, 740, 0.\nAnswer: -5, -0.2, 0, 5, 740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123018 is divided by 1098.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103 + 505. Let r = 402.5 - h. Let w = 0.01 + 2.99. Which is the fourth smallest value? (a) r (b) w (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011021221020222 + 11?\nAnswer: -1011021221020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/5 - -13\/15. Let o(v) = -5*v**3 + 348*v**2 + 137*v + 223. Let c be o(70). What is the fourth biggest value in c, 3\/4, w, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2163 divided by -86?\nAnswer: 2163\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15*12\/((-45)\/(-9)*-2))\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35948 and 725952.\nAnswer: 343375296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -279305 divided by -24\nAnswer: 279305\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/9 (b) -29006 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, y: 4, u: 3, q: 8, w: 2, l: 2}. Give prob of sequence lqu.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -753*q + 4991 = 773*q - 813*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 0*j - 4*j + 1 - 3 + 2*j**2. Suppose -13 = -5*d - 3. Let h(o) = -3*o**3 - o**d + 3 - 2 + o + 4*o**3. What is 2*h(u) + s(u)?\nAnswer: 2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u. Let g(l) = -6*l**2 - 3*l. Let i(r) = 11*r**2 + 5*r. Let h = -1 + 4. Let b = -12 - -17. Let y(z) = b*g(z) + h*i(z). Determine y(o(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1045)\/(-440))\/((-195)\/(-312))?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*n**2 + 7*n**4 + 2*n**4 + 4*n**4 + 4*n**4 wrt n?\nAnswer: 408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -293 in 6, 2, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000068038677 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59576309?\nAnswer: 13, 149, 30757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 807763309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -3\/2*u**2 - 20 + 1\/3*u**3 + 4*u. Let z(b) = -b**2 + 4*b - 5. Give 5*y(a) + 4*z(a).\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16694672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (-26 - (-39 + 65))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11230 and 0.3?\nAnswer: -3369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**2 + 1764*h - 1760 = 0. What is h?\nAnswer: 1, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, f: 3, j: 2, n: 2, k: 4}. What is prob of sequence nf?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r + 2*q = -4, 3*r - 2*q - 4 = 0. Suppose 0 = -5*f - 25, r*f - 40 = -5*v + 4*f. Solve 3*j = v*j - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 13\/8*y**4 + 0 + 14*y**2 + 0*y + 11\/6*y**3. What is the first derivative of n(u) wrt u?\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.3858*20.\nAnswer: 427.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -11936.\nAnswer: 9\/11936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 100001100?\nAnswer: 100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*44\/330*2\/(8\/(-3))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/19 + (-15)\/(-399). Which is the nearest to 1? (a) t (b) -2 (c) 2\/9 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1758120 divided by 31395?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rttrtccrr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -18. What is the greatest common factor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-566214)\/(-28721))\/((-3)\/(-7))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 12) to base 7.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119771882?\nAnswer: 2, 59885941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3793845 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/6 and 42\/(-27)*(-99)\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 - (-26)\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**7*b)\/b*b*b**2\/b)\/(b\/(b*b**(-2\/39))*b*b**(-8)*b) assuming b is positive.\nAnswer: b**(661\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 22 = -3*q + 3*g, -2*q - 15 = -3*g for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2 + 2. Let p(y) = 12*y**2 - 207. Determine 3*n(f) + p(f).\nAnswer: 3*f**2 - 201","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-4 + (8 - (4 - -1)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = 5*u - 4*a - 10, 0 = -5*u + a - 5. What is the derivative of u - 5 + 3*k**2 + 3 wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 9*a**2 - 9*a - 6. Let q be s(10). Factor q*j**2 + 48 + 16*j - 19 - 17.\nAnswer: 4*(j + 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484817669?\nAnswer: 7, 69259667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27341856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m**(-2\/21)*m)\/m*(m\/(m\/m**2))\/m*m*m)\/(m**3*m*m**5))\/((m\/(m*m*m**1*m))**(-1\/10))**(-12) assuming m is positive.\nAnswer: m**(-52\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - v - 5*v)*(-6*v + 0*v + 4*v)*(118 - 17 + 23) + 2*v**2 + 4*v - 4*v.\nAnswer: 746*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + -131122113?\nAnswer: -131122030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-585)\/27 - -7)*114. Let a = -1672 - k. Factor a + 1\/8*q**2 - 7\/8*q.\nAnswer: q*(q - 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1766 - -37033\/21. What is the common denominator of t and -65\/132?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.108 + -103.108. Let v = -0.4171 - -103.9171. Let g = v + l. Which is the nearest to -0.3? (a) g (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 788293, 788311, 788343, 788389, 788449, 788523?\n\"Answer: 7*c**2 - 3*c + 788289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -0.2, 4\/3, 1\/34?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than -44695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1245 = f - 209*z + 210*z, -2*z = -f + 1221. Calculate the remainder when 3720 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -106*r. Let o(u) = -10*u**2. Calculate l(o(i)).\nAnswer: 1060*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 y when two letters picked without replacement from {i: 1, a: 2, f: 8, y: 2, v: 1, g: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 111201022020 (base 3) to base 2\nAnswer: 1000001111010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 38b8a - 6?\nAnswer: 38b84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pejep. Give prob of picking 1 e and 1 p.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 6*q**2 - 4*q - 2. Let k = 109 - 107. Let v(j) = -2*j**3 - 12*j**2 - 9*j - 3. Let d(o) = k*v(o) - 5*a(o). Determine d(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 22 + -10 + -2 - (5 - -46)) + -3.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2965 - 791*b**2 - 890*b**2 + 2965.\nAnswer: -1681*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1012068328?\nAnswer: 2, 126508541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + s - 5*s)*(-100 + 2*s + 45 + 52).\nAnswer: -2*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 954891.5 millimeters in centimeters?\nAnswer: 95489.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17)\/(-51) + (-16)\/3 - -7. Solve -z + x*z = -5*w + 20, -5*z + 3*w = 40 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 4227\/71501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 915 - 950 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9063, 1 in ascending order.\nAnswer: -9063, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(735) + -3*sqrt(735))*-6 + sqrt(735) - sqrt(735)))\/(-6*5*sqrt(3072)).\nAnswer: -7*sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*9\/(-144))\/((-4275)\/1026)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 810.5 - 810. Let c be 32\/105 + (-4)\/10. Sort y, 2, c in ascending order.\nAnswer: c, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (2 - 7) - 2. Let g be 60\/4 + 2\/i. Let c = -7 + g. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-3*-1*sqrt(320) - sqrt(320)) + (-1*sqrt(320) - sqrt(320))*-5 + sqrt(320)))**2.\nAnswer: 865280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -46597\nAnswer: 46601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/85 and 43\/2235.\nAnswer: 37995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*w - 92, 5*w + 166 = 2*c + 59. Suppose -2*g + 151 = c. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/4*(-40)\/50. What is the nearest to -1 in 0.4, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 13. Let p = -9 - -11. Which is the third biggest value? (a) p (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 686076.4 centuries to millennia.\nAnswer: 68607.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - t - 5. Let h be n(-4). Let r = 4 - h. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1118 and -113\/1630.\nAnswer: 911170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -10*s + 85. Let h be p(10). Which is smaller: 2\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1358 and 392?\nAnswer: 38024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*l**2*v**6 - 396*l**2*v**3 - 2*l**2*v**2 - 3*l**2 - 10*l + 6*v wrt v.\nAnswer: -2640*l**2*v**3 - 2376*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1455451105.\nAnswer: 5, 8329, 34949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*d**3*r**2 - d**3*r*y + 6*d**3*r - d**3*y + 57*d**2*r**2*y - 7*d**2*r**2 - 5*d**2*r - 13*d**2*y + d*r wrt r?\nAnswer: 40*d**3 + 114*d**2*y - 14*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24735 + 24939. Calculate the remainder when 557 is divided by u.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 - 1841 = -5*c. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 1, 2, 5, -1, -2 in decreasing order.\nAnswer: 18, 5, 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-11)\/(-5))*4060\/(-60). Which is smaller: 82 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1565.692 + 1563. Let v = -0.008 + n. Let y = 2.3 + v. Sort y, -0.1, -2 in decreasing order.\nAnswer: -0.1, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 824704 + -126180176\/153. Let s = 75\/17 - t. Calculate the common denominator of s and 53\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 f, and 1 r when four letters picked without replacement from {f: 2, c: 1, r: 1, l: 1, m: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 - -33. Let w(a) = -9 - 4*a**3 + 2 + 12*a + 6*a**3 - 23*a**b - 3. Let v be w(11). Which is greater: v or 12\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37451368.\nAnswer: 2, 41, 227, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -140 + 315. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8109130901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/3))**(3\/7)\/(z**(-1\/13)\/z*z**(1\/13)*z) assuming z is positive.\nAnswer: z**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 5*d = 7*x, 85 = -16*x + 5*d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 0*u**3 + 6*u**2 + 8 - 2*u - u**3 - 12*u**2. Let p be c(-6). Suppose -4*b - 29 - p = -q, -4*b + 269 = 5*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/16))\/w*w**12*(w**(2\/5)\/w)**(17\/7) assuming w is positive.\nAnswer: w**(5869\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -240 - 24?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 28*k + 3. Give h(26).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 4950371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32861259*g*y**2 + 2*y**2 - 3*y - 3404657 with respect to g.\nAnswer: 32861259*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43961483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197526 = 113*n - 720*n - 3893. What is the greatest common factor of 1711 and n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-1\/3)*c*c**(1\/6)*c**(-6)*c*c**(-2) assuming c is positive.\nAnswer: c**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 752270533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-8) + (-3)\/12. Let p = -213 - -214. What is the nearest to o in 0, -4, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -767*n**2 - 6*n + 15. Let b be j(-6). Let y = b + 59311. Round y to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - k - 3 - 1, -5*q = 4*k + 16. Suppose q = -4*m - 99 + 7. Let c = 41 + m. Calculate the remainder when c is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-145)\/22*-2 - (-219 + 1025)\/62\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) -4 (b) 12 (c) -28 (d) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2464 = -42*m - 18*m - 17*m for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 25. Let s = -131 + 134. Let z(j) = -3*j - 11 + 5 + s + 3. What is z(o(r))?\nAnswer: 3*r - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100031320112 (base 4) to base 10.\nAnswer: 4251158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + -5 - 3*-1. Suppose g*y = -0*y + 20. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10100303 (base 4) to base 10\nAnswer: -17459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 11*b**3 - b**2 + 2. Let k be i(-2). Let m(w) = 19*w. Let q be m(-3). Let s = q - k. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.8 - 4.814. Let t = i + 0.324. Round t to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 56102 = 4*y, 4*y + 33642 = 17*j - 14*j. What are the prime factors of j?\nAnswer: 2, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**4 + n**2 - 1. Let d(j) = 3*j**4 + 3. Let t be (3 - 18\/4)*-4. Let u(z) = t*x(z) + d(z). Factor u(a).\nAnswer: -3*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5 = 0, 18*f + 23 = 13*f + 2*c. Do -133\/22 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 925*g. Let b(w) = 6*w**2. Give b(s(l)).\nAnswer: 5133750*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q - 184699 = -40*q - 53461. Calculate the greatest common factor of q and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -57 - 19*s + 25 + 25 - 2*s**2. Let i be x(-11). Let b = -41 - i. Let m(r) = -8*r**3 - r**2 + 1. Give m(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.4 + -7. Let n = -35\/4 - -9. Which is the nearest to -0.3? (a) r (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*c = -35*c - 465793. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -4*u**7\/147 - u**6\/15 + 3*u**5\/35 + u**4\/6 - 2*u**3\/21 - 13*u. Find y such that v(y) = 0.\nAnswer: -2, -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 - 5*u + 1. Let g(o) = o**2 + o**2 + o - 110 + 111 - 9*o + 6*o. What is -5*g(y) + 2*j(y)?\nAnswer: -4*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -28. Suppose 0 = -0*c + c - l. Suppose c*n - 2*f = n - 18906, -2*n - 12594 = 2*f. Round n to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 3, -203, 0.1, 12, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 2:32 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 9 = -2*c, -2*f = -4*c + 9*c - 12. Let s be (f\/(-12))\/((-36)\/96). Let a = 1.9 - 2. Which is smaller: s or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*p - 55*p = -3*t - 32, p - 9 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18603084 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 2*b + 4*b)*(27*b**3 - 9*b**3 + 16*b**3) - b**4 - b + b.\nAnswer: 67*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -0.3, 0.138, 31?\nAnswer: 0.138","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -396, -397, -408, -435, -484, -561?\n\"Answer: -n**3 + n**2 + 3*n - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) -2\/5 (b) 0.42 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7880.33 micrograms?\nAnswer: 7.88033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-10 + -20 - -20)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1068 is divided by 265?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 293608 and 10165?\nAnswer: 27892760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 260 = 4*k, m + 3*k = 6*k + 69. Let p = -59 + m. Solve -3*g + c - 3 = -p*g, g + 5*c = 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -9*k - 34. Let d(a) = 10*a + 33. Let y(t) = -6*d(t) - 7*z(t). Let o be y(-12). Solve -3*v = f - 2, -5*v + o*f = -0 - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122320 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 - 2*j**3 + 3*j**3 + (-8*j - j - j)*(0 + 0 - j**2) to y*j + s + o*j**3 + z*j**2 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4\/1 - 6*(-2)\/(-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100 - 12021?\nAnswer: -22121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-37)\/592)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnjjjjpnjjpnjjjjnnjn. Give prob of picking 2 p.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -949*i - 8547. Calculate o(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*l*q*v*x**2 + 1714*l*q*v - 2*l*x**2 + 48253*v*x**2 wrt q?\nAnswer: 3*l*v*x**2 + 1714*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -114, -2\/7, -1\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1922, 2, 7, -5, 0, 4 in descending order.\nAnswer: 7, 4, 2, 0, -5, -1922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 13*t**2. Suppose 0*i = 5*i - 25. Let h(p) = -p**3 + 9*p**2. Give i*d(c) + 7*h(c).\nAnswer: -2*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = -v, v - 3 = 4*s + 3. Let z(c) = -7*c - 2. Calculate z(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1757 - -1756.997261. What is n rounded to four decimal places?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(195\/27) + -1.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*i = -207*i - 138. Factor -8\/9*r + 52\/9*r**i - 32\/9 - 4\/3*r**3.\nAnswer: -4*(r - 4)*(r - 1)*(3*r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 96\/(-36) + -56*(-1)\/48?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -2272.0269\nAnswer: -4544.0538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113243 - 101?\nAnswer: -113344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -14*m**3 + 1 - 13*m**3 + 2*m**2 + 2*m + 0*m**2. Let t be s(-1). Does 3 divide (-2)\/(-1) + t\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -34, 0.2, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/56*-10*8\/20?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j. Let y(k) = -9*k - 14. What is y(n(h))?\nAnswer: -18*h - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5330, -3672, -2000, -308, 1410, 3160, 4948, 6780?\n\"Answer: l**3 + l**2 + 1648*l - 6980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 21*y - 5*y)*(-28 + 28 - 8*y) - 5*y**2 + y**2 + 3*y**2 + (-y + 0*y + 3*y)*(2*y + 1 - 1) - y**2 + y - y to k*y + u*y**2 + v and give u.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 82 = -y - q, 25 = -5*q. Let o = 82 + y. Is 24 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.06 or 8\/13?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72306 is divided by 2892.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -5412672\/11579 + 6111594193\/39368600. Let n = h - -5278\/17. Let i = 28\/25 + n. Find the common denominator of i and -69\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8900245 divided by -29.\nAnswer: -306905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8749 - -8748.95. What is the nearest to 0.2 in 4, s, 66?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 11. Let q be y(5). Suppose 2*a + d = 21 - q, 0 = -2*a + 3*d + 11. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 693?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 1:40 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 1264?\nAnswer: 7\/316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 0*t - t + 23*t**3 - 16*t**3 to the form l*t**3 + w*t**2 + r*t + u and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 194*g + 66. Calculate the smallest common multiple of 72 and q(3).\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrqereqqeeqeqr. Give prob of picking 3 r and 1 q.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156632, 158862, 161092, 163322, 165552?\nAnswer: 167782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 12*c**2 - 10*c + 3. Let f(u) = -35*u**2 + 29*u - 8. Let a(k) = 3*f(k) + 8*j(k). What is the second derivative of a(p) wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463095568.\nAnswer: 2, 13, 2226421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-3)\/(-36)*(-28)\/7.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.45 (b) -2\/11 (c) 1666\/89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -187865, -375024, -562183, -749342, -936501, -1123660?\n\"Answer: -187159*a - 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**3 + o**3 - 4*o**3 + (2 - 2 - o)*(35 + 6*o**2 - 35) as t*o**2 + d + a*o**3 + p*o and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*q + 126 = 0, 0 = -n - 5*q + 10*q - 30. Let b = -46 - n. Let l be (-1 - b)*(-11)\/(-22). Solve -m + l*m - 3 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2840627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 11, -0.1, -58.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1 + sqrt(2736) + -1)*-6 + (-3 + sqrt(684)*1 + sqrt(19) - (sqrt(76)*2 + -2 + sqrt(19) + sqrt(57)\/sqrt(3))))**2.\nAnswer: 994*sqrt(19) + 95828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2. Let t(h) be the third derivative of -h**5\/20 + 35*h**2. Calculate g(t(d)).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-2)*(-2)\/5. Suppose -5*t = -4*t + s. Let r be t\/(-6) + 1315\/15. Calculate the greatest common factor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52000485 divided by 1677435\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 d when three letters picked without replacement from {r: 6, f: 4, d: 3, y: 2}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 661 - 3189\/5. Let q = w + -24. Let c = 7\/15 + q. What is the third smallest value in -0.6, -1\/5, c?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -100, 2\/1103, 2.98 in ascending order.\nAnswer: -100, 0, 2\/1103, 2.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 63\/12 + (-1)\/4. Let f = 12 - r. Let l be 37\/f - (-2)\/(-7). Solve 0 = l*a + 2*v - 19, v = 2*a + 4*v - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75699210 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2b8086 (base 14) to base 4\nAnswer: 11303022212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(637)*2*-5 + 4 + -4 + (1 + sqrt(637))*-2).\nAnswer: -168*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 - 4)*(-2*n**2 + n**2 + 5*n**2 + 2*n**2 - n**2 + 2*n**2 + (2*n - 3*n + 3*n)*(n - n + n) + 2 - 2 - 3*n**2 - 2*n**2 + 3*n**2 - 2*n**2).\nAnswer: -40*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r. Let l be 0 - 4 - (-3)\/((-6)\/4). Let h(s) = 2805*s. Let x(t) = 52*t. Let q(j) = l*h(j) + 323*x(j). Determine q(i(m)).\nAnswer: 34*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33395506.\nAnswer: 2, 571, 29243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*z, -5*j = -0*z - z - 6864. List the prime factors of j.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 4*l + 10. Let b be t(5). Suppose -b*z + 47 = -13. Calculate the least common multiple of 4 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14\/51 - 12\/85. Which is the closest to 1? (a) -5\/2 (b) q (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4baec (base 16) to base 6.\nAnswer: 10351100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.09 + 7.4. Let k = a + -0.01. Put -3\/5, -3, k in decreasing order.\nAnswer: k, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - 2*sqrt(85))*-2 + sqrt(85))\/sqrt(5).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(3 - 4)*-1*8\/176?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 22*p**2 + 104*p + 10. Let o(u) = 5*u**3 + 28*u**2 - 14*u - 5. Let m be o(-6). Give b(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than -0.196333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3066678 is divided by 383.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -15*s**5 + 5*s**4 + 11*s**2. Let d(q) = -7*q**5 + 2*q**4 + 5*q**2. Let h(v) = 5*d(v) - 2*r(v). Find the third derivative of h(o) wrt o.\nAnswer: -300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -27. Let y = -0.08 + 3.08. Let k = y - z. Which is the smallest value? (a) 0.4 (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -162220 - -141131339\/870. Find the common denominator of -1\/45 and v.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 e when three letters picked without replacement from {c: 2, e: 16}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 8*p - 6 = -10, 2*p - 6 = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (-2 - (-3 + -2)). Is 11 a factor of (3\/u)\/((-2)\/124)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -537 + 1278. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**3\/4 - 195*s**2\/2 + 2205*s\/4 - 810 = 0. What is s?\nAnswer: 3, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 + 38*x**2 - 5*x - 103. Let w be y(18). Solve 445*g + 60 = w*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44307\/8 + 5550. Calculate the common denominator of p and 12\/(-54) - 278\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111808871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -3*k + 1, k = -3*b + 4*b + 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2382 and (((-720)\/84)\/30)\/(24\/322).\nAnswer: 2382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -24*r - 96. Let p(n) = 49*n + 191. Let i(f) = 6*p(f) + 13*x(f). Let y be i(-6). Let c(v) = v**2 - 5*v + 3. What is c(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3053 < -3050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24109956\/137 at most as big as 175985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-2*j + 7 - 7)*(-2*j**2 + 6*j**2 - 2*j**2) + 455*j**3 + 245*j**3 - 404*j**3.\nAnswer: 292*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2306, -9094, -20398, -36212, -56530?\nAnswer: -81346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55431768 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-42)\/(221\/1300 - (-2)\/(-8)). Let o = 1541 - i. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -10*g + 9. Let s(d) = d - 2. Let p(n) = -l(n) + 4*s(n). Let h(a) = -5*a + 6. Give 11*h(r) + 4*p(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8488*l*w**2 - 34*l*w + 361093*w**2 + w wrt l.\nAnswer: -8488*w**2 - 34*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1411 - -3551?\nAnswer: 5262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-44)\/8)\/(1\/2). Let l = 15 + c. Suppose 5 = 5*b + 2*f + f, 0 = -l*b + f + 4. Solve -b = -2*n + n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 29 = 2*s + 3*s, 29 = s - 5*u. Let q = 13 - s. What is the remainder when 18 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/30 + (-8)\/5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -954750 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233 + -12120003?\nAnswer: -12120302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -849\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3530*a**4*k + 12*a*k + 3*a + 9*k wrt a.\nAnswer: -42360*a**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/10080 and 31\/26928?\nAnswer: 1884960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -666, -4611, -15306, -36123, -70434, -121611, -193026, -288051?\nAnswer: -410058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 3:04 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + a**2 - 4*a + 2. Let b be l(0). What is the second derivative of 110*c - 2 + 37*c**2 + 2*c**3 - b - 109*c + 24*c**2 + 18*c**2 wrt c?\nAnswer: 12*c + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) - (-33)\/6. Let v(c) = 3*c - 9. What is the remainder when 24 is divided by v(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15400152 (base 8) to base 10.\nAnswer: -3539050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2592?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142749 is divided by 71361?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -44, 1, -15, -1\/2?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/(-165))\/(30\/165).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30576 and 9996.\nAnswer: 519792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -713503853*d*q**3 - 4*d*q**2 + 36*d*q + 9*d - 2*q**2 + q - 518 wrt q.\nAnswer: -4281023118*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 331233\/57 - (-6)\/57*-1 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 - -113.05. Which is the closest to 1? (a) -0.2 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 10:43 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**7\/70 + l**4\/6 + 8*l**3 + 17*l**2 + l - 13. Let h(a) be the second derivative of u(a). Differentiate h(k) wrt k.\nAnswer: 12*k**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36318221483081\/8004 + -4537508921. Let n = m - 2\/667. Let x = -1\/16484 - -117451\/41210. Calculate the common denominator of n and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-121)\/(-33))\/(8\/3336). Calculate the greatest common factor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbpbbbbbdppd. Give prob of sequence bd.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6\/45 - (-2334)\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + w - 13 = 0, 3*r + 0*r = -3*w + 9. Suppose -3*c + r*c - 8 = 0. Suppose 6*m = c*m + 10. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*a + 6*a + 3*j, 4*a - 13 = -3*j. Is a*3\/(-3) + 20 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 2. Let u = -17 - -21. Suppose -a = -b - w, -u*b = -3*a - 0*b + 17. What is the least common multiple of a and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*r - 6*r - 64, 3*t + 122 = 2*r. Let q = 78 + t. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d - 4*d + 2*d)*(-d**2 + 3 - 3) + 248461*d + 297*d**3 - 248461*d to q*d**3 + t + n*d**2 + v*d and give q.\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 12:25 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -679? (a) -52 (b) -0.2 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*c**3 - 12*c**3 + 25*c**3)*(0 + 3 + 84*c - 73*c) + 3*c**4 - 2*c**4 - 4*c**4 as d*c**4 + i*c + w*c**3 + a + u*c**2 and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 413 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4716613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 3\/5 (b) 39 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) - (-125945)\/(-440). Let r = h + -357\/440. Let x = 1189\/5 + r. Calculate the common denominator of -69\/2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.495642 meters to micrometers.\nAnswer: 1495642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**2 + j + 7. Let i be b(-5). Let a be (1274\/39)\/(2\/(-6)). Let o = i + a. What is the second smallest value in o, -2\/7, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 595 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 6, -18, -2, -5 in descending order.\nAnswer: 6, -2, -5, -10, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 26 = -13*f, 2 + 8 = -3*s + 5*f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.4 + 0.6. Let o = -2.9553 + 0.0553. Let i = o + m. Which is the biggest value? (a) 1 (b) 4 (c) 5 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3.1. Let y = -23524 + 47043\/2. What is the closest to -1 in y, b, 2\/101?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**45)**(-44\/3) assuming m is positive.\nAnswer: m**(-660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66049?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3\/9 - 992*o**2\/9 + 664*o\/3 = 0 for o.\nAnswer: -498, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21719 = 21*b - 8941. What are the prime factors of b?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -910539 or -911210?\nAnswer: -910539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 9. Let w = -5 - c. Does 10 divide w\/(-4) - 39\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**5 - 463*y**4 - 21953*y**3 - 349193*y**2 - 661360*y + 602700 = 0. What is y?\nAnswer: -82, -35, -3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 186*p**2 - 18*p + 93*p - 105*p**2 - 84*p**2 + 121 + 131.\nAnswer: -3*(p - 28)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 229736?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 2535.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97 + 84. List the prime factors of 4 - -131 - (12 + t).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 261513 and 261514 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68\/11 - 307\/55. Let b be (-6)\/2 - 50\/(-14). What is the biggest value in b, x, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73567 + 366?\nAnswer: 74044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 39.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 3615 = -1077. Is 27 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 18, -2 in increasing order.\nAnswer: -4, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63*d**3*s**4 - 17*d**3*s + 2*d**3 - 3*d*s**4 wrt s?\nAnswer: -756*d**3*s**2 - 36*d*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 39, 61, 85, 111, 139, 169?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**4 + 2*x**3 + 11 + 7 - 6 - 2*x to i + r*x**2 + q*x + t*x**3 + o*x**4 and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 17*f**4 - 14*f**4 + f**3 - 2 as s*f**2 + w*f + b*f**4 + p*f**3 + x and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 111300*b - 30772000.\nAnswer: -5*(b - 21980)*(b - 280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.8 + 3. Let w = -1673 - -1673.1. Let d = -0.0007 + -0.0993. Sort b, -1\/5, w, d in decreasing order.\nAnswer: b, w, d, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -6*w**2 + w + 2. Suppose 0 = -o + 2*j + 11, o - 2*o + 4*j = -21. Calculate k(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w - 11. Let m be b(-8). Suppose -m*r = -r - 72. What is the greatest common factor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/19 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1572326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 68*x**5\/7 + 558084*x**4\/7 + 1355377600*x**3\/7 + 407951374176*x**2\/7 - 1414331687896128*x\/7 - 166397607460800\/7 = 0. What is x?\nAnswer: -2994, -2\/17, 775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*s - 4*s**2 - 23*s + 35*s in the form g*s**2 + p*s + i and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12769, -25398, -38025, -50656, -63297, -75954, -88633?\nAnswer: -101340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 735385*z = 733399*z - 119160 for z.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipypppiyst. Give prob of sequence it.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -710 (base 8) in base 3?\nAnswer: -121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 36, 0.5, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67592015651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1998*r - 2033*r + 375*r - 596*r in the form b*r + s and give b.\nAnswer: -4252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -1. Let n = 9 - 6. Suppose -4*v = -3*v - n. Solve v*t - 11 = c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14, 90, 206, 362, 558, 794, 1070?\n\"Answer: 20*m**2 + 16*m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*m**4 + m**3 + 4\/3*m**2 + 0 - 7\/6*m + 1\/6*m**5.\nAnswer: m*(m - 7)*(m - 1)**2*(m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135 - 132. What is the second derivative of -38*u**3 + 41*u**x + 47 + u + 18 - 26*u**3 wrt u?\nAnswer: -138*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - a = -5, 142*a + 5 = 143*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2026256310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*b - 380*b - 10890 = 10334 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*o = -b - 9*o - 15, -5*b - 2*o + 7 = -0*o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u**3 + 13*u**2 + 7*u + 23. Determine b(-4).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 88 - 604. List the prime factors of l.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**5 - 60*q**4 + 205*q**3 - 10*q**2 - 900*q + 1000 = 0.\nAnswer: -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 546 by 182.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -7, 2, 6264, -3 in ascending order.\nAnswer: -7, -3, -2, 2, 3, 6264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*h + 198 + 66 = 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3868*m**2 - 14*m - 16. Let o be y(-16). Round o to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 15969533.\nAnswer: 47908599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x**2 - 105*x + 2. Let j(k) = 6*k**2 - 106*k + 2. Calculate 3*b(o) - 4*j(o).\nAnswer: -3*o**2 + 109*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y - 13. Let a be -1*3 + -1 + -1. Let t = a - -11. Let k(c) = 2*c + 7. Determine t*v(x) + 11*k(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, n: 5}. Give prob of sequence www.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 56f4 (base 16) to base 5\nAnswer: 1203020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 2 + 2)*(-147*o - 151*o + 219*o) + (o + 2*o - o)*(5*o - 4*o - 2*o) + 4*o - 4*o - o**2 to the form r*o**2 + u*o + l and give r.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 83 = -3*g, -3*g - 2*g + 4*o + 89 = 0. Suppose -2*t = -g - 5. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 7 = -251*k + 250*k, 8 = -4*c - 4*k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/10*((-24)\/(-2))\/6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45667159\/3080 - -14827. Calculate the common denominator of 3\/28 and a.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 5*q - 8, -t + 4 = -2*q + 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijrvfjvd. What is prob of picking 1 j and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/1478 and ((-34)\/14)\/(720\/756)?\nAnswer: 14780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/2 - (0 + -1). Let a = d - -32. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4543, 9195, 13945, 18787, 23715, 28723, 33805, 38955?\n\"Answer: -u**3 + 55*u**2 + 4494*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1056\/396*63\/(-12) + (-29 - -1)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49085402 by 24542701.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -133*o + 3 + 63*o + 69*o. Let i(v) = 3*v - 1. Let g be i(3). Determine l(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a factor of 276142055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00072 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2287.01522 + -2287. What is o rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)*2)\/(sqrt(12)*-5) - (2 + sqrt(245) + -1 - sqrt(245) - ((sqrt(245) - sqrt(245)*-1) + 1)).\nAnswer: 66*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 166 and 28967?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + -2.4. Let p = 222.4 - 220.4. Which is the third smallest value? (a) w (b) -3 (c) -3\/2 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21535*j**4 - 7317 wrt j?\nAnswer: -86140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-175)\/(-20))\/5 + -1\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a907 - 13?\nAnswer: 4a8c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -102*p. Let l(q) = 656*q. Calculate l(x(h)).\nAnswer: -66912*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, -7 in ascending order.\nAnswer: -7, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -7. Which is smaller: g or -3\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.172 + -0.672. What is the nearest to z in 1\/2, 46, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 22 = 2*b - 3*b, 4*b + 5*s = -12. Suppose b*a = -0*a + 2. Sort 5, a, -2.\nAnswer: -2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*f - 8, 4*f + 4 = 3*q. Let j = 5 + q. Put 0, 2, j in descending order.\nAnswer: 2, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2164*-2.93.\nAnswer: 6340.52","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-2*1)\/(-2). Let b = -154 + 161. Suppose b*y - 13*y = -6. Solve -y - 3 = m*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 5 - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*f + 4. Let m = 78303\/2320 - 3\/2320. Let n = 34 - m. Do n and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30336 less than or equal to 30336?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 10*u = -6*u - 12, 1 = -u. Suppose -16*p = -12*p - w. Solve 40 = 14*c - p*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + 3*sqrt(256) - (sqrt(20)\/sqrt(5) - sqrt(4))*-4)\/((sqrt(28)\/sqrt(2)*5)\/sqrt(7)*-2).\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -45\/11 (c) 9.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 11. Let n = 851681\/30 + -28384. Calculate the common denominator of n and (3 + (5 - 925\/(-40)))\/s.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -42. Suppose -229 + f = -5*b. What are the prime factors of b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**2 - 6*o + 28. Let u be q(10). Let t = u - 114. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/(-30)*(-6)\/24*3.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilometer in meters?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2076)\/8)\/((-1)\/2). Suppose 3*x = 4*c + 1 - 7, 4 = 5*c - 2*x. Suppose -v + i = -c*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 0.5 (c) 1 (d) 2\/2083 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r - 2. Let d be -2 + (-2 + 4 - 4). Does 14 divide o(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4*(0 + -8). Let y(d) = n*d + 1 - 7*d - 1. Let z(k) = 2*k**2. Determine y(z(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2317 (base 9) in base 8?\nAnswer: 3265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/5)*r)\/r*r)**0)**(1\/20)*(r\/(r*r*(r\/(r**1*r))\/r*r))**(-3\/23)\/((r*r*r*r**2\/r*r)\/r**(-6)) assuming r is positive.\nAnswer: r**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015513 to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.04 (c) -6 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 + -65. Let m be 45\/(-18)*(-8)\/10. Suppose m = l - 2. Solve -4*r + 2*r = 4*i - l, -j*i + 2*r = 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2254 + 0?\nAnswer: -2254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5000010 and 420.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.11 - 0.19. Let y = 58.8 + 186.2. Let u = -245.2 + y. Which is the smallest value? (a) u (b) -1\/19 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**7\/420 - 3*g**6\/20 - 781*g**5\/60 + 2829*g**4\/4 + 889249*g**3\/12 + 7313*g**2. Let r(k) = 0. What is k?\nAnswer: -23, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 14*n**4 - 5*n**2 - 11*n - 5. Let j(p) = 7*p**4 - 3*p**2 - 6*p - 3. Let d(u) = 3*f(u) - 5*j(u). What is the second derivative of d(q) wrt q?\nAnswer: 84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -5. Let r = y - -6. Which is the closest to r? (a) -0.3 (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + -0.6. Let q = o - 0.4. What is the nearest to 1\/2 in q, -2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/3)*t**4*t\/(t*t**(-6))*t\/(t\/(t**(1\/5)*t))*t**(-2\/13)*t**(3\/2)*(t**(1\/4))**12 assuming t is positive.\nAnswer: t**(5933\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 1, y: 18}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 79, 158, 237, 316, 395?\n\"Answer: 79*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6566 or -6618?\nAnswer: -6566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/143677254 and 125\/243624?\nAnswer: 574709016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90905, 363627, 818165, 1454519, 2272689, 3272675?\nAnswer: 4454477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2125)\/(-17000)*4*-6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 659309174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 446260045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -858*j - 60 = -864*j - 2*o, -63*j = -60*j + 3*o - 24 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*n = -11, 5*u - 2*n + 0 - 8 = 0. Suppose -149*x = -200*x + 1530. Calculate the highest common divisor of u and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -208\/85 - -407\/340. What is the nearest to 2 in -1\/3, p, -2\/283, -1\/11?\nAnswer: -2\/283","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -644483*z**2 + 5*z**3 + 644483*z**2 - 3*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.745, -5, 11, 0, -4\/5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 3:28 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*p - 1474, 2*p = -135 + 141. Calculate the remainder when w is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**2. Let h(a) = 27*a**2 - 44*a**2 + 20*a**2. What is f(h(o))?\nAnswer: 27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqnf when four letters picked without replacement from qxjnxcqfn.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 11:59 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 22*t**3 - 7*t**2 - 3*t - 8. What are the prime factors of z(3)?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -571 * -0.9\nAnswer: 513.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*k = 26*k + 1332. Let j(t) = -9*t + 162. Give j(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 124 = -2*i + 35, -2*i + 66 = 2*j. Suppose j = 16*m - 33. Solve 0 = -3*d - m*w + 8, -4*d = -2*w + 5 + 21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.03 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqh. Give prob of sequence wq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + 0.3. Let f = 1 - k. Let o = 478 - 476. Which is smaller: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-276)\/(-69))\/(52\/988)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.101 + 0.099. Let r = -23.7 + b. Let z = 8 + -6. Sort 4, z, r in ascending order.\nAnswer: r, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -853*a - 838. Calculate z(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 51121704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {a: 4, n: 1, y: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8644560?\nAnswer: 2, 3, 5, 181, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -636 + 626.02. Let t = 9.89 - -0.11. Let x = t + l. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 11 + 29. Suppose -g*h = -187 - 497. Does 25 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -4*k**3\/3 - 5. Let p(o) = -60*o + 122*o - 3*o**2 - 62*o. Calculate d(p(s)).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u**3 + 3 - 6 + 2*u**2 - 2 + 2. Is i(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q**2 + 16*q - 10. Let j be (0\/(-1))\/(9\/(-3)). Let s(b) = j*b + 3*b**2 + 3 - 3*b - 4*b**2 - 1. Calculate -16*s(u) - 3*v(u).\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -6. Let a be (6\/n)\/((-9)\/(-36)). Differentiate -20*z - 3*z**2 - 2 - a + 20*z wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 12. Calculate r(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15487.45 minus 1?\nAnswer: -15488.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, 2\/11, 205, -33, -0.2?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5169 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.066 and 29.\nAnswer: 1.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2. Let v(b) be the second derivative of 67*b**4\/12 - b**2\/2 + b - 334. Give y(v(h)).\nAnswer: -4489*h**4 + 134*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1220201212 (base 3) to base 10\nAnswer: 37715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 + 106 + 9*f**3 + 110 - 324.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**2 + 5*z + 1. Calculate the remainder when p(12) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 265360278 by -132680139.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/((-5)\/60 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -402424, -402449, -402504, -402589, -402704, -402849, -403024?\nAnswer: -403229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2. Let b(d) = -64*d. Calculate b(t(m)).\nAnswer: 192*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 892401667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 141 = 24*g, -o + 741 = 5*g + 770 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + j + 20*j**3 + 0*j**2 - 26*j**3 + 0*j**2 as d*j + z*j**3 + a*j**2 + t and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5010 - 5?\nAnswer: -5015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/4 - (13\/2 + -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*u - 153*u + 390 = 0. Suppose y + 5*s - 83 = -0*s, -4*s = -3*y + 230. What is the highest common divisor of y and u?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2*o - 1)*(-2 + 1 - 1) + 12*o - 12 + 12 + 16 + 8*o + 19 - 34)*(-4*o + o + 4*o).\nAnswer: 16*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-2)\/(-4)*0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 249872 and 392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 9. Let f = 12 - 4. Let o be p(f). What is the units digit of 1 + o + (1 - -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**4 - 28*m**3 - 12*m**2 - 26*m**3 + 53*m**3 - 5 + 0 to t + u*m**3 + k*m + g*m**2 + o*m**4 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 0, 6 in ascending order.\nAnswer: -2, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -217 smaller than -1078\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 45*g + 137*g - 47*g in the form d*g + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 32569453.\nAnswer: -4\/32569453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3743 = 5*y, -3*p - 957 - 533 = -2*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 - 4*u**2 + 6*u**2 - 16*u**3.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + 1. Suppose -3*l = 2*z - 7, -3*z - 16 = z. Suppose l*g - 10 = s. Solve -g = 2*u + 4*k, u - 4*u - 4*k = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-216)\/(-40) + (-4)\/10. Suppose -l + m*g + 23 = 0, -4 = -4*l - 4*g + 2*g. Solve 3*f = 3*u, -15 = l*u + 3*f + 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 237, 874, 1901, 3330, 5173, 7442, 10149, 13306?\n\"Answer: 2*a**3 + 183*a**2 + 74*a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1254\/2095 + 3\/2095. Let q = -0.2 - 0.3. Sort 5, -5\/4, q, s in increasing order.\nAnswer: -5\/4, q, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -121, -238, -357, -478?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2671 - 4732. Let o = 2061.000917 + r. Round o to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-six fifths of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9916 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -11. Let s = 158 + -186. Let u be (7\/(s\/16))\/(-18). What is the biggest value in z, u, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 4*l + 31989, 4*q - 15421 = l + 10187. Is 151 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 73010, 146014, 219018, 292022?\n\"Answer: 73004*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g**(1\/3))\/g)*g*g)**(-48)\/((g\/((g\/(((g**(4\/3)*g*g)\/g)\/g))\/g))\/(g*g\/g**2*g)))**29 assuming g is positive.\nAnswer: g**(-11252\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(sqrt(125) - sqrt(5)))\/(sqrt(512) + (sqrt(512) - (-2*sqrt(512) + sqrt(512))) - sqrt(8)).\nAnswer: sqrt(7)\/92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1531 - -1818. What is the remainder when k is divided by 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -2323 - -2345. Which is the nearest to 0? (a) p (b) -0.5 (c) 0.2 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -26, 24, -9 in descending order.\nAnswer: 24, -1\/7, -9, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11342210 rounded to the nearest 10000?\nAnswer: 11340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -718\/2219 + 12\/317. Which is smaller: -394 or j?\nAnswer: -394","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 21*t + 1103. Determine w(-23).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -390*k - 136*k + 101*k - 460*k - 334*k as q + d*k and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.077 - 0.423. What is the nearest to -3 in 2\/17, w, -2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 6:55 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 13*z - 8. Let o(t) = -3*t**2 - 38*t - 23. Let j(l) = 3*o(l) - 8*u(l). Is 2 a factor of j(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*p**3\/3 - 19175*p**2\/3 - 33485*p\/3 + 3190 = 0. What is p?\nAnswer: -957, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 9:20 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/6)\/(1\/(39\/26))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13658, -4, -3, 3, 20.\nAnswer: -13658, -4, -3, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*h - 2464, 2440 = 2*h - 4*a - 0*a. What are the prime factors of h?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 2*g**2 + g + 13. Let t be h(-3). Suppose -2*w + 5*j + t = -11, -4*j + 8 = 0. What is the highest common factor of 517 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/35 - (82\/(-42) + 0)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o**2 - 12*o**2 + 7*o**2)*(-o + 3*o + o)*(4*o - 3*o + o).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**2 + z**2 - 3*z**2 to the form f + t*z + c*z**2 and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 - -109. Let k(j) = -j**3 + 20*j**2 + 2*j - 25. Let f be k(r). Let o = 15 + f. Calculate the least common multiple of o and 16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -198 - -203. Let r(i) = x*i + 7 - 41*i**2 + 40*i**2 + 3. Calculate r(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -325 + 325 - (2 - (1 + 28\/26)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 + -7 + 1 - (-222 - -232)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**4\/4 - y**3 - y**2\/2 - 5*y - 7. Let u be t(4). Let o(z) = z**2 - 5*z + 3. What is the tens digit of o(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -232 (b) -3 (c) 1\/1170\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v*v*v**(-4\/9)*v*v)*v))\/(v**(-1\/5)\/v))\/((v**(-1\/10)*v)\/v**2))\/(v**1*v*v*(v**(-3)*v)\/v)**(-14) assuming v is positive.\nAnswer: v**(437\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a micrometer in nanometers?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqfaorq. Give prob of sequence raf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.091517 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 5*y**2 + 1. Calculate p(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j - 6. Let h be s(6). Let u be -2*-6*3\/h. Solve -y = 3*r + y + 6, u*y = 2*r + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/3*63\/6. Let b = i + -13. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*o - 33. Suppose o*f - 11 = v, -4*v - v + 61 = 4*f. Suppose -54 = -3*j - v. Calculate the remainder when 44 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -589 by -1.\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1671, -1690, -1727, -1788, -1879, -2006?\n\"Answer: -w**3 - 3*w**2 - 3*w - 1664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 955505167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8 = -5. Factor 0*x - 2\/9*x**p + 0 + 2\/9*x**2.\nAnswer: -2*x**2*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1192*a**4 - 1188*a**3 - 2388*a**2 - 8*a = 0. What is a?\nAnswer: -1, -1\/298, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 181118.\nAnswer: 1811180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*t, -2*t = 44*r - 43*r - 6453. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -58\/11 (b) 5 (c) 0.5 (d) -4 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 - -2020102112?\nAnswer: 2020110021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 49 = 4*j. Let c be (-6)\/15 - 17\/(-5). Suppose 3*f - c*z = 39, j = f + 4*f + 3*z. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15806 (base 11) to base 12.\nAnswer: 10a7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 + y**3 + y**4 + 2 - 2*y**2 - 4 to z + n*y**2 + x*y + t*y**4 + g*y**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0 (b) 0.1 (c) 7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -180*-13\nAnswer: 2340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3 = -y, -5*y - 221 = 2*o - 206 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7975 and 8800.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/57, -0.4.\nAnswer: -0.4, 2\/57, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4\/6 + 14726*m**3 - 176694*m**2 + 530064*m = 0.\nAnswer: 0, 6, 88344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b**2. Let w(z) be the first derivative of -z**2 + 12*z + 5. Let f be w(6). Let s(o) = -10*o + f*o + 10*o - 2*o**2. Give s(g(d)).\nAnswer: -200*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*u + u. Is u a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4301*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 26 and 189501.\nAnswer: 189527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -1. Suppose -a + v*a - 5 = 0. Solve 4 - a = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*z = -66*z - 4*l + 4537, -3*z = 5*l - 4535. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 38, 0, 134, 13\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h = 2*l + 4, 5*l + 2*h = -9. Let w(t) = t**2 - 6*t + 28. Let c be w(6). Let g = -33 + c. Put g, l, 0 in increasing order.\nAnswer: g, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 2*j - 3. Let k be d(-2). Which is the nearest to -2\/3? (a) -1\/7 (b) k (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - -17b4?\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v - 4*k = 14, k + 6 = 2*v. Solve v*j - 5 = 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (8 + -7 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 243421 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 divided by 28?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1 = 17. Let h be (-4)\/16 - (-1)\/y. Let q = 6 + -11. What is the nearest to h in -1, q, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22357*d*f**3*x**3 + d*f**2*x - 3*d*x**2 - d*x + 19*d - 5*f**3 wrt x.\nAnswer: -134142*d*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -842.0609 + 842. Is 2 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 16. Let r(a) = -4*a - 1. Let k be r(v). Suppose -3*u + k = 4, 0 = -y + 2*u - 2. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-112)\/12*-27*244\/42?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + z - 17. Suppose -23*o + 44 = -19*o. What is the hundreds digit of l(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7717, -15648, -23581, -31516, -39453, -47392, -55333?\nAnswer: -63276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -1, -105.\nAnswer: -105, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 1\/15*i**5 + 0*i + 0*i**4 + 0 + i**2 + 0*i**3. Factor y(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 774?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1282*x = -1268*x + 126 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104 - 101. Let t(w) = -2*w**2 - 1 - l + 8 + 3*w - 6. Calculate t(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -15 - 6. Let m(p) = f - 1 + 12 - 2*p - p**3 + p. What is the tens digit of m(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 5 + 5)*(-d**2 + 0*d**2 - d**2) - 2*d**3 - 7*d**3 + 0*d**3 + 34*d**3 - 50*d**3 + 47*d**3.\nAnswer: 26*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8106, 16231, 24372, 32529, 40702, 48891, 57096?\nAnswer: 65317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1514 - 0?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3717 is divided by 33.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 56 = 9*h. Let z(j) be the first derivative of -j**3\/3 + 3*j**2 - 1. Let q be z(h). Solve 0*r = q*r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 50 = -12*u. Suppose 2*i - 4*t = 1202, -t = -5*i + u*i + 601. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 3*p + 0 + (1823*p + 1831*p - 3661*p)*(-8 + 4 - 3).\nAnswer: 52*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, l: 4, y: 2, v: 1}. Give prob of picking 1 v, 2 l, and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*u + 2*w, -4*u + 8 = 1423516*w - 1423512*w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*(-6)\/9. Let y(o) be the third derivative of 0*o**5 + 0*o + 1\/6*o**3 + 0 + 8*o**2 + 3\/40*o**6 + 1\/24*o**4. Give y(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**5\/11 - 38*y**4\/11 - 180*y**3\/11 + 180*y**2\/11 + 162*y + 1458\/11 = 0.\nAnswer: -9, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 + -72. Suppose -3*u = -3*z - 2 + t, 4*z - 2*u = 68. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530896197.\nAnswer: 3, 13, 239, 56957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -88, -106?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/35)\/x)**41*x**(1\/21)*x\/((x**(-2\/3)\/x*x)\/x) assuming x is positive.\nAnswer: x**(-1258\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24.99 + -25. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 468\/14 - ((-93)\/(-21) - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*h + 89*h - 100 = 0. Are h and -12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3686795417 to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 v when three letters picked without replacement from vlvvlv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15426541.2 rounded to the nearest 10000?\nAnswer: -15430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, d: 8, t: 1, g: 4, k: 1, c: 2}. Give prob of sequence ggc.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 1, -1012\/107, 2\/25, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12487 - 12486.5. Sort p, 0.4, -12, -9, -1\/5 in increasing order.\nAnswer: -12, -9, -1\/5, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(9)*-2 + sqrt(9)) + sqrt(9))\/sqrt(3).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 106253, 212508, 318761, 425012, 531261?\n\"Answer: -k**2 + 106258*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 405782441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 22660?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r - 16 = 22 + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14035 and 2835.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 175*n - 659. List the prime factors of v(56).\nAnswer: 3, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/50)\/(51\/85)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 + 98*g**2 + 22. Give t(49).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 224 * -1.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 7:15 PM?\nAnswer: 613","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*z. Let b(a) be the second derivative of 0 + z*a**2 - 1\/3*a**3 + 8*a + 5\/6*a**4. What is the second derivative of b(h) wrt h?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 5:12 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 p, and 1 q when four letters picked without replacement from {u: 2, g: 1, q: 3, p: 6}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43233 is divided by 547.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/200 and 137\/60.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20213, 29401, 38589, 47777?\n\"Answer: 9188*g + 11025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r - 103. Calculate p(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w + 1. Give y(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1919, 1610, 1341, 1112, 923?\n\"Answer: 20*k**2 - 369*k + 2268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.153 < 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**7\/70 + w**6\/30 - w**5\/15 + 6*w**2. Factor a(c).\nAnswer: c**2*(c + 2)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*((-49)\/14)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b + 15*b**2 + 2*b + 2 - 11*b**2 + b**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -17\/106?\nAnswer: -17\/106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*q**3 - 156*q - 149*q + 299*q + (-3*q + 3 - 3)*(3*q**2 - 2*q**2 - 3*q**2) + (-3*q + q + q)*(0*q**2 + 2*q**2 + 0*q**2).\nAnswer: -20*q**3 - 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -194*h**2 - 165*h**2 - 167*h**2 + 528*h**2. Let f(v) = -v - 358. Determine f(z(j)).\nAnswer: -2*j**2 - 358","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t - 162 + t + 159)*(3*t**2 - 2*t**2 - 2*t**2).\nAnswer: 6*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 265355481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -201*h - 6. Let x(p) = 10100*p + 303. Let k(r) = 202*c(r) + 4*x(r). Let j(q) = -2*q. Calculate j(k(i)).\nAnswer: 404*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + 2136\/(-9))\/(3*(-2)\/2763) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 10:31 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 7*i**2 - 7*i - 3. Let a be v(8). Let n(b) = b**3 - 5*b**2 - 2*b + 1. Let o be n(a). Let m = 13 + o. Solve m*z = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.093 + -0.593. Which is the nearest to -5? (a) 6 (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2751*j - 527. Is 39 a factor of z(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8070 and 24.\nAnswer: 32280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2138*r**3 + 0*r**5 + 2*r**5 - 2259*r**3 + 1549*r - 4724*r wrt r?\nAnswer: 40*r**3 - 26382*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7632 - -7645. Solve -5*p + r + b = 0, 9 - 3 = 3*r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 80, 99, 126, 161?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (0\/(2 - 8))\/(-1). Let a be 5 - ((2 - 3) + 2). Let q be (3 - 5\/a)\/(w\/36). What is the highest common factor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -125, -124, -123, -122, -121, -120?\n\"Answer: q - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 29 = 181. Is (-4)\/30 - 119\/r - -4048 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 34 + 64 = 4*x - 5*y, -2*x - 5*y = -30 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13180 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + 5 + ((sqrt(27) - (2*sqrt(432) + sqrt(432) - sqrt(432)))\/sqrt(324))**2*-6).\nAnswer: -93\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4503118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = -4*o + 22*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96843*a**2*t**3 - 27183*a**2*t**2 - 7*a**2 + a*t**4 wrt t.\nAnswer: -581058*a**2 + 24*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213323 - 311?\nAnswer: -220300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 n when four letters picked without replacement from {n: 7, e: 2, p: 5, f: 3}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 50. Let c be v + 45\/(-160)*-20. Put 2, -2, -1\/6, c in ascending order.\nAnswer: -2, c, -1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3814253137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17765 + 142511\/8. Which is the second biggest value? (a) m (b) 1\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25963?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002120 - 21?\nAnswer: 1002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 178670.8 rounded to the nearest one thousand?\nAnswer: 179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923636173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688 is divided by 58?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + 54?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-12)*-2*(-42)\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2*r = 3*r, 3*r - 13 = l + r for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -44b (base 13) to base 6\nAnswer: -3231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.105, -1\/5, 0.5?\nAnswer: -0.105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2614719.\nAnswer: 3, 17, 167, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3092398.816 rounded to the nearest one hundred?\nAnswer: -3092400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/11773890 and -95\/12.\nAnswer: 23547780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3997, -3987, -3975, -3961, -3945, -3927?\nAnswer: -3907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - -2210034?\nAnswer: 2210012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hye when three letters picked without replacement from tyyythe.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d (base 15) in base 10?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-162)\/(-36)*(-1 - (-50)\/(-6)). Let r = -34 - d. Solve 4*x + r = -v, -2*x - x - 6 = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 630\/455 + -3 + 1. Which is the second smallest value? (a) -1\/11 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/30)\/y**9)**41)**(-1) assuming y is positive.\nAnswer: y**(11029\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 32836*i + 65688.\nAnswer: -4*(i - 2)*(i + 8211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 6*a**2 + a - 2. Let k be z(-6). Is 10\/k*40\/(-5) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8*k\/(k*k\/(k*k**4)))\/(k**(-8\/3)\/(k*k**(3\/5))) assuming k is positive.\nAnswer: k**(244\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.99 + 28. Put -5, d, -2\/5 in increasing order.\nAnswer: -5, -2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/4 - 6\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 16*y**2 + 20*y - 8. What are the prime factors of d(15)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1751.455 and 4?\nAnswer: 7005.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-3\/7)*a*a*a*a**(-6)\/a*a)**(-17)\/(a**(1\/3)\/(a*(a*a*a**2*a)\/a*a))**(-4\/5) assuming a is positive.\nAnswer: a**(2074\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 165*x - 19. Let n(p) = -p - 9. Calculate b(f) - 2*n(f).\nAnswer: 167*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1914 divided by -5\nAnswer: -1914\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11, -5, -7, -29, -83?\n\"Answer: -2*j**3 + 8*j**2 - 4*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -71 + 151. Calculate the common denominator of 292\/c - 3\/12 and -49\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578165.2 hours in microseconds?\nAnswer: 2081394720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -118.\nAnswer: -118, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.052 + -6.192. Let t = k + -0.06. What is t rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 4*i - 11 - 33, 0 = x + 2*i + 10. Let m(q) = -6*q - 70. Let s be m(x). Solve -7 = s*z + 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -22. Let l = 8 - n. Suppose -4 - 132 = -l*q. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 207 + -207. Let y(a) = a + 12. Calculate y(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430064391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*s - 23*s + 6*c + 6, 2*c - 4 = -4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 14 (b) 2\/57 (c) 427\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eooaooeeaoeoaaagaa. Give prob of sequence eee.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 5. Let u be k(9). Suppose -u*w - 4*v + 21 = -5*w, -4*w = 3*v + 8. Let j = w + 55. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 28*k - 2. What is the tens digit of m(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -49*x**4 - 11*x**2 + x + 11. Let s(q) = -25*q**4 - 6*q**2 + q + 6. Let d(a) = -11*s(a) + 6*z(a). Find the second derivative of d(i) wrt i.\nAnswer: -228*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21887*y + 21894*y = 5*x - 55, 0 = y - x + 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/1664 and 55\/16944.\nAnswer: 1762176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/12)\/((-8)\/(-128)). Let s be ((-30)\/6)\/p + 0. Let v = 0 - -0.1. Is s less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 59856*b**2 + 59855*b.\nAnswer: b*(b + 1)*(b + 59855)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/1 - 0) + 0. Let d = j + -8. Let l be (-4)\/d - (-828)\/30. Solve 4 = -3*q - 5*y + 12, -l = 4*q - 3*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**4\/42 - 6*f**3\/7 - 19*f**2\/7 + 121*f - 2. Factor n(l).\nAnswer: 2*(l - 19)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21967341 is divided by 8462.\nAnswer: 8451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/4 and -133\/57564?\nAnswer: 57564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -135893*o - 131. Let f be w(33). Round f to the nearest 100000.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 - 2*v**2 + 3*v**2 + (16*v + 29*v - 5*v)*(-2*v + 3*v - 2*v).\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(1\/11)*(r\/(r**(-1)*r))**21 assuming r is positive.\nAnswer: r**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33424134, -33424146, -33424158?\nAnswer: -33424170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*m**2 - 799629954 + 799629954.\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 37. Solve 0 = k*f - 2 - 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-20)*t*t**20)**(-10) assuming t is positive.\nAnswer: t**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -39 + 36. Sort 2, 3, h, -5 in descending order.\nAnswer: 3, 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40895 and 217?\nAnswer: 8874215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 278\/114 + 498\/(-38) + 13?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 2.6 (c) -0.3 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143569.8 millennia to months.\nAnswer: 1722837600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 16 = 0, -5*g - 2*c = 3393 - 3410 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 2*p + 1, -2*b = -3*p - 1. Suppose -b*i + 6 = -0. Let u(m) = 1 - 3*m + 9 - 4. Let s(t) = 2*t - 5. Calculate i*u(v) + 4*s(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32040 - 6?\nAnswer: 32036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -93, 23, 139, 255?\n\"Answer: 116*g - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -81*l - 10 - 82*l - 76*l + 243*l. Determine w(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 0*j**2 - 1\/14*j**4 + 3\/14*j**3 + 51*j + 0 - 3\/140*j**5. Factor a(u).\nAnswer: -3*u*(u - 1)*(u + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2047976590 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -79 + 70 + 40*j + 251*j as o + i*j and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (5 + (-3 - -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 70\/(-22) - (12 + -15). Let w = -102.5 - -103.5. Let i = 0.06 - 2.06. What is the nearest to w in r, i, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.12 + 2.72. Let n = 0.9 + -1.6. Let j = g + n. Round j to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -17*j + 9. Let y(q) = -15*q + 8. Let v(b) = -6*p(b) + 7*y(b). Determine v(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/2)\/(3\/71) and 65\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.22 and -0.1.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 486\/(-36)*10\/15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 861 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.5 (c) -21 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1330\/(-105) - -14)*(-1 + -2). Which is the closest to -2? (a) 2\/11 (b) -1\/2 (c) -2\/89 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1224, -4898, -11020, -19590, -30608, -44074?\nAnswer: -59988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 w when three letters picked without replacement from {j: 1, m: 1, w: 3, b: 7, u: 3, f: 2}.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - d + 6, 2*d - 2 = -0. Sort -3, t, -168, 5 in descending order.\nAnswer: 5, t, -3, -168","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 36952116, 36952113, 36952110, 36952107?\n\"Answer: -3*p + 36952119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2139506214?\nAnswer: 2, 3, 1033, 345193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*z + 12*z + 4*t + 76, -2*z + t + 82 = 0. Suppose -z = -c - 21. Let s be 3*(-3)\/(-9)*3. Calculate the greatest common divisor of s and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310605294, -621210588, -931815884, -1242421182, -1553026482, -1863631784, -2174237088?\nAnswer: -2484842394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - b - 2*b + (0 + 0 - 2)*(0*b + 0*b - b) + 69*b - 36*b + 154*b to n + v*b and give v.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - 195*m**2 - 4 + 195*m**2 + 2*m**4 to b + x*m**3 + d*m + y*m**2 + o*m**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1111\/5855?\nAnswer: 1111\/5855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 15, e: 4}. What is prob of picking 2 e?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49545.6 days in milliseconds?\nAnswer: 4280739840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 17*o**2. Calculate w(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-6)\/(-8))\/((-3)\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 18*v + 3. Let n = -18 + 34. Let k be w(n). Let d = 59 + k. Calculate the remainder when 88 is divided by d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 14956.\nAnswer: 29912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003838 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h + d + 3807 = -32*h, 3*h - 2279 = -2*d. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 2670?\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30251 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40232*l - 12757 wrt l.\nAnswer: -40232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/60 and -29\/41160.\nAnswer: 41160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 22 = y, 3107*y = 3106*y + 2*b - 3 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f = -31*f - 2360. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 344552997?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 - 38*b**2 - 36*b - 53. Give j(20).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80038?\nAnswer: 2, 7, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 657416147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/1*(-3)\/(-6). Let v be h + 2\/((-4)\/2678). Let j = v - -2028. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 644*h**2 + 71*h + 49*h - 645*h**2 - 120*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + 0.9. Let s = o + -1.2. What is the smallest value in -5, 0.4, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, u: 9}. Give prob of sequence upup.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 11:42 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8*v + 30 = 0. Solve -v = -9*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (196\/(-147))\/(8\/(-18)*1\/3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 312723.7l in millilitres?\nAnswer: 312723700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 81210*z + 329753205.\nAnswer: 5*(z - 8121)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*y + o - 3, -o = -y - 6. Let l(d) be the third derivative of d**5\/10 - d**4\/4 - d**3\/3 + d**2. Is l(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (4 - (2 + 1)) + 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164802*d**3 - 164795*d**3 + 329609*d**3.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34827?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -512, -514, -516?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(-355 + 1123 - 203)*(z + 0*z - 2*z) - 5*z + 12*z - 8*z.\nAnswer: 1129*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011001000 (base 2) to base 16.\nAnswer: -2c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-2 + 1 + 5)*(-2 + 0 + 3)*(-1 - 3 + 3)*(1104 - 18*o - 1104).\nAnswer: 72*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8313 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(840\/16))\/(6*3\/(-28)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 31. Let s = 64 + p. Let r = s + -36. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3410 + -3410. Factor f + 8\/3*m**2 - m**3 + m.\nAnswer: -m*(m - 3)*(3*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -c - 562. Let f = 1964\/7 - c. What is the closest to -1 in f, -0.4, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8, -2994, 1, -0.1, 26\/7, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280 and 1720.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -123 + -4?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 1:18 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-1\/4)*x)*x**2 assuming x is positive.\nAnswer: x**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (1 + -1 - (22 - 19))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 9:57 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 6*b - 9*b. Suppose b*i - 36 = -20. Let a(p) = -i + 2 + 17*p - 33*p + 15*p. Let z(u) = 2*u. Give a(z(j)).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 958781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 467.051488 rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203405 is divided by 50849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*788.2671\nAnswer: -394.13355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90.1 - 62.4. Let u = j - 28. Which is the smallest value? (a) -2\/3 (b) 1\/6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 10*c + 8. Let t = -9 + 12. Suppose o + 5*h - t = -2, 0 = -3*o + 2*h + 20. Is 19 a factor of x(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.3655, -0.4, -1, -6 in descending order.\nAnswer: -0.2, -0.3655, -0.4, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 4*b + 3*w, 0 = 4*b + 6*w + 60 - 70 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 20241*j**2 - 10152*j**2 - 10088*j**2 - 2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -17*s + 578 - s**2 + 589 - 1764 + 545. Calculate a(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2021615965, 2021615964, 2021615963, 2021615962?\n\"Answer: -v + 2021615966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 5*d + 13. Let f be j(6). What is the greatest common divisor of 35 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 15 = -5*w, 0 = 2*c + 11*w - 6*w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10480337 take away -4?\nAnswer: -10480333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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 -0.258 take away -71?\nAnswer: 70.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -20*r**2 + r - 1. Suppose 0 = -3*j + h - 3, -7 = -2*h + 5. Determine o(j).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -8721*r + 35. Let g(j) = 188955*j - 760. Determine -7*g(k) - 152*y(k).\nAnswer: 2907*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4036, -4031, -4016, -3985, -3932?\nAnswer: -3851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) -4 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85811 divided by -29.\nAnswer: -2959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -33*a - 189. Let k(i) = 34*i + 195. Let f(z) = 3*h(z) + 2*k(z). Let y be f(-9). Calculate the highest common factor of 170 and y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*x - 6, 3*w + 4*x - 17 = 0. Suppose -4*q = -0 - 16, 2*q = -w*j + 233. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v. Let l(i) = -3*i - 4. Let p(z) = -9*z - 14. Let w(n) = -14*l(n) + 4*p(n). What is w(q(m))?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 22. Let o be 6 + f\/(3 + 1). Let d(q) = q**2 + 10*q - 5. Is d(o) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*h + 115, -2*h = 3*d - 84 + 20. Let k = -8 + d. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945795 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.091 + -0.791. Let h = c - -0.7. What is the third smallest value in 0.05, h, -3\/7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4371.\nAnswer: 3, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 645 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24895 + -16076. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 - 14*n**2 - 14*n - 13. Give j(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 10:20 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1038)\/54 - (-8)\/36. Suppose 4*v - 12 = 3*m - 5*m, 0 = -3*m - v + 43. Let o = b + m. Which is greater: 0.2 or o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and 437?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5489\/5 or -1098?\nAnswer: -5489\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 3:17 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 152477 to the power of 1\/2, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 2*a**2 - a + 7. Let m be q(-3). Let z be 0 + 327 + m - (-68)\/34. What is the greatest common divisor of z and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -0.2, 1\/2, 0.07, 7379, -1\/7, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -280 - -1142. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 137574072?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 2*a - 1. Let x(k) = k**2 - 2*k - 1. Suppose -17 = -2*g - p, -g + p - 37 = -5*g. Let z be 36\/g + 14\/35. Determine z*v(i) - 5*x(i).\nAnswer: -i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5139 + -15?\nAnswer: 5124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404693 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 56637453 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 10323747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -43682*b**4 - 14*b**3 + 2*b**2 - 556474 wrt b.\nAnswer: -174728*b**3 - 42*b**2 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2.423971 nanometers?\nAnswer: 0.002423971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a + 19*a = 0. Solve 2*p + 6 - 10 = a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 15*n + 15. Let r be i(14). Is 802\/8*(r + (-12)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -0.5, 0.3, 477?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70643676, 70643678, 70643680?\nAnswer: 70643682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b - 4*b + 2*b. Let l(x) = -x. Give l(j(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5290 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-4) + (-2)\/(-4). Let k be (-11)\/v + 3\/(-4). Solve -b - 4 = -k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 5988796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4937 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -926191*y**3 + y**2 + 270237*y wrt y?\nAnswer: -5557146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 10 + 2, j + 2*c = 12. Let x(p) be the third derivative of -5\/2*p**3 - 12*p**2 + 1\/20*p**5 + j*p + 0 + 1\/2*p**4. Factor x(d).\nAnswer: 3*(d - 1)*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2056.312 decades?\nAnswer: 246757.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 - 2. Let o(u) = -4*u**2 + 3. Let y(m) = 5*o(m) + 6*q(m). Let n(d) be the first derivative of y(d). Let g(x) = x. Calculate n(g(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 12*n**2 - 12*n + 9. Is a(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 15*p + 12. Let m be f(14). Let j be -3*((-3)\/m + 4\/(-24)). Let u(a) = a**2 + a + 17. Is u(j) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -q + 45. Let g(h) = -h**3 + 7*h**2. Let f be g(6). Let a = f - q. Solve -3*r + 2*u + 2 = -a, -2*u = -6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/16 + (-2)\/(-24)*11\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -245, -242, -239, -236, -233?\n\"Answer: 3*r - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 108*z - 14. Let s be q(3). Let g(j) = 14*j + 752. Let t be g(-53). Calculate the greatest common factor of s and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7727393 - 8345575409\/1080. Let i = 32\/135 - q. Find the common denominator of i and 85\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 66\/(-12)*(-2)\/4*4. List the prime factors of 2 - m\/5 - (-645021)\/555.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-164034)\/(-14) - 4\/(-14). Let j = a - 3367. Let i = j - 100333\/12. Calculate the common denominator of i and 113\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -591*u = 3*a - 599*u - 108, 2*a = 3*u + 44 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((2\/(-18))\/((-45)\/210))\/(996\/8964)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55586 + 90101849.\nAnswer: 90046263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -218\/3955 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -11*p - 2. Let k be 2\/(-5)*(-11 - (9 + -10)). Let g(c) = 2 - 7 + k - 5*c. Give -6*a(i) + 13*g(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)*(x*x**3)\/x)**(-3) assuming x is positive.\nAnswer: x**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0 (b) -1\/5 (c) 0.1 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -57009306, -57009319, -57009334, -57009351, -57009370, -57009391, -57009414?\n\"Answer: -m**2 - 10*m - 57009295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*k + 10 = 0. Let t = -3 - k. Let x = t + 10. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-124)\/(-7) - (-32)\/112)*(-39)\/(-26). Solve 3*b - z = -6*j, 5*b + j - 6*j + 15 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -183 - -183. Let a(x) be the first derivative of v*x - 3\/2*x**2 + 7. Let p(u) = -2*u**2. What is p(a(o))?\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2187 and 3.\nAnswer: 2187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.1 + 0.03458.\nAnswer: -10.06542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*(1*sqrt(1008)*-2 - -3*(sqrt(1008) + 0)))**2.\nAnswer: 9067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27746 minus -4?\nAnswer: 27750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v + 4. Let m(a) = -10*a - 9. Determine 2*m(z) + 5*p(z).\nAnswer: 5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 3*h**2 - 3*h - 7. Let o be j(-3). Solve o*g = 4*g + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -3. Suppose -3*l + 11 = -5*w + l, -4*w - 2*l = -12. Suppose 2 = -3*j - w. Is u at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -48.4, 4, -401, -1\/4 in decreasing order.\nAnswer: 4, 2, -1\/4, -48.4, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from {d: 3, i: 1, z: 3}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2 + 3*r + 9. Let c be n(-6). Let z = 27 - 26. Find the common denominator of 101\/2 and c\/(-6) + (1 - z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31910044 a multiple of 2454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(117)\/sqrt(9) + 3.\nAnswer: 3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712314499 plus 3784?\nAnswer: 1712318283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 4:03 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/210)\/((-5775)\/2695).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26.1 + -25. Let y = -1.3 + d. Which is the closest to y? (a) -1 (b) 1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26262, 209937, 708490, 1679361, 3279990?\nAnswer: 5667817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1, 2892, 48, 3, 2 in ascending order.\nAnswer: -16, 1, 2, 3, 48, 2892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -119 + 239\/2. Let v(s) be the second derivative of -h*s**2 + 0 - 4*s + s**3. Give v(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + w**2 - w. Let v = 102 - 102. Let q be i(v). Sort -10, -1, -4, q in ascending order.\nAnswer: -10, -4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223615432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 464700 divided by -4?\nAnswer: -116175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a micrometer in nanometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.013 in -2, 12, -7, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -724 - -1048. Let t = 502 - z. Let w = 178.103 - t. What is w rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37, 229, 713, 1621, 3085, 5237, 8209, 12133?\n\"Answer: 22*f**3 + 14*f**2 - 4*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 403945 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 491, 1945, 4359, 7733?\nAnswer: 12067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00172515 to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 times -191046\nAnswer: 362987.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - 9) + 24 - (16 + (11 - 11)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (558 - 1)\/((-1512)\/84). Let h = 187\/6 + r. Find m such that 0 - 2\/3*m + h*m**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9076 + 21676 = -210*n for n.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 + (-36)\/(-8). Suppose 5*o - 5*w = h, w + 2*w + 5 = 5*o. What is the remainder when 13 is divided by o*(-1 + 6 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {s: 5, t: 8}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.0368, -3\/2, 0.4 in descending order.\nAnswer: 3, 0.4, -0.0368, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, x: 1, c: 4}. Give prob of sequence xzc.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1833 and 6063?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255462 is divided by 31930?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(300\/72) - (-24)\/(-14)*-4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 - 3*l - 41*l + 3*l**2 + 15*l to the form i*l**2 + z*l + j and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + -10643?\nAnswer: -10651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -10*r + 155. Let p be c(-7). Is 32 a factor of 50\/p + 8062\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -8. Let s be ((-4)\/6)\/(l\/(-6)). Suppose -4*n = 12 + s. What is the third biggest value in -3, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.7, 0.2, -3, 4\/25, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 55*t**3\/3 + 43*t**2\/2 + 27. What is the second derivative of f(c) wrt c?\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358*q**3\/7 - 16476*q**2\/7 + 189750*q\/7 - 4232\/7 = 0. Calculate q.\nAnswer: 4\/179, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 7 + 3 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.9 (b) 2\/5 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 4. Suppose o = -0*o - 1. Is (b - -26) + o - -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 5*b - 1600, -f - 2*b + 7*b = -332. What is the greatest common divisor of 506 and f?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 22*a**2 + 8*a - 265. Let t be k(-20). Let r = 370 - t. Let w(p) = -2*p - 4. Let b(j) = j + 5. Let u(x) = -2*b(x) - 3*w(x). Give u(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6092493940?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**4\/12 - 38837*v. Let p(t) = -9*t - 6. Let s(y) = -8*y - 5. Let j(r) = -5*p(r) + 6*s(r). Determine j(b(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + h**2 + 16. Let d be z(0). Suppose -d + 177 = w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 50 = 16*f + 128 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, 4, 8, -5 in descending order.\nAnswer: 91, 8, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 20*s + 3. Let u be z(-20). Suppose -2 = t, -u*v + 0*v = 2*t - 302. What are the prime factors of v?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28080466 - 50.7.\nAnswer: 28080415.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**4 + 94*g**3 + 590*g**2 + 1218*g + 720 = 0.\nAnswer: -40, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2543225*d**3 + 569096*d**2 - 2*d wrt d?\nAnswer: -15259350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2471 = -2*i, 2*k - 16*i + 11*i - 4946 = 0. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.07295ml to litres.\nAnswer: 0.00607295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 11:54 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2. Let d(f) = 12*f - 2. What is o(d(v))?\nAnswer: -144*v**2 + 48*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74165.5 years to months.\nAnswer: 889986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -939, -7484, -25245, -59832, -116855, -201924, -320649?\nAnswer: -478640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 720843 by -240281.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 463*d - 366. List the prime factors of m(8).\nAnswer: 2, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37900657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 5:25 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 - 4*j**5 + 2*j**5 + 2*j**5 - 5*j**5 + 2*j**5 + (-11*j**4 + j**4 + 0*j**4)*(3*j - 2*j + j) + (2*j - 2*j + 2*j**2)*(-3*j**3 + 2*j**3 + 0*j**3).\nAnswer: -24*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-100)\/(-14))\/(5 - (-276)\/(-56)). Let v be ((-5)\/2)\/(g\/(-80)). Solve 3*h = -v*h - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 7:55 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2340\/(-78)*5\/(100\/30)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -41251.3 times 2?\nAnswer: -82502.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 + 1449\/17. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4662080*f**3 + 5*f - 717639.\nAnswer: -27972480*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - -2*sqrt(75)) + 1*sqrt(108))**2.\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -5, -12, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 670800 to the nearest ten thousand.\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528185.\nAnswer: 5, 7, 15091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m. Let g(j) be the first derivative of 378*j**3 - 908. Calculate f(g(y)).\nAnswer: -4536*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 23*c**2 - 86*c**2 + 27*c**2 + 19*c**2 + 26*c**2. Let w(x) = -14*x**2 - x. Determine w(t(q)).\nAnswer: -1134*q**4 - 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23953 + 23953.00048165. Round t to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 4:49 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154 and 220?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 143*c**2*f**3 + c**2*f**2*m - 789*c*f**3*m - 3*f with respect to m.\nAnswer: c**2*f**2 - 789*c*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 - 17*v + 80.\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a millisecond in microseconds?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110912*z - 22 = 3*w - 110917*z, -8*z = -0 + 8 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6338 + -4487. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53825.\nAnswer: 5, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1067a7744 - -3?\nAnswer: 1067a7747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -68, -581, -1972, -4679, -9140, -15793, -25076?\n\"Answer: -73*d**3 - d**2 + d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -398*x + 961. Calculate q(3).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 615, 1236, 1855, 2472, 3087, 3700?\n\"Answer: -x**2 + 624*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmdc when four letters picked without replacement from zwcmdwf?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16643.6 - 18319. What is x rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 126 = 14. Suppose 2*u - o = -5*u. Suppose -2*q**u - 3*q**2 - 4 + 11*q**2 + 12*q + 10*q**2 = 0. What is q?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2857100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/21 + (-2760)\/(-9). Let g = d + -244. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5633094 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 2:11 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-6*8\/(-48)). Let k(l) = l - 2. Let d be k(3). Let i be d\/f - -83 - -2. Calculate the highest common factor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-10)\/q*q*(q\/(q*(q*q**(-3\/8))\/q*q))\/q*q*(q**7*q)\/q**7)**(-1\/75) assuming q is positive.\nAnswer: q**(23\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -39387 greater than or equal to -39387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3816)\/(-66) - -2*(-2)\/(-22). Let r = p - 40. Solve -4*f + r = -2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 + 28 - 9)*(-o - o + 4*o)*(-o**3 + o**3 - 2*o**3).\nAnswer: -224*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12 and 0.03.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.224 - 1784.224. Which is smaller: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0061556065 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4 + -2 + sqrt(931) + -1 + sqrt(931))**2 + (sqrt(171) + (2*sqrt(171)*2)**2 - (-4 + (0 + sqrt(171))**2)).\nAnswer: 171*sqrt(19) + 6329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 8. Suppose y = -4*c + 4. Let z be 11 + -1 + 1*c. Solve -4*s = -0 + z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-3 + 1383\/(-1)). Suppose -z = -3*g + g. List the prime factors of g\/35 - (-1)\/5.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 8*m**3 + 2*m**2 + 3*m + 1. What is h(-3)?\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60654946 and 98329.\nAnswer: 424584622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12847a (base 13) to base 15\nAnswer: -8c598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -10489752*t**2. Let f(q) = -2*q**2. What is f(l(n))?\nAnswer: -220069794043008*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 912361 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = -136*v - 830 + 5166 + 3440 for v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 662 by -51.\nAnswer: -662\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213030 divided by 2.\nAnswer: -106515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5876 (b) -2\/17 (c) 6 (d) -3\/7 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6005*x - 6002*x + 30 + 12009*x.\nAnswer: 2*x + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0)*(k - k - k**2) + (-2*k + 2*k - 2*k)*(0*k - 3*k + 5*k) in the form o*k + d + y*k**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 677.475 - 573.9. Let h = w + 0.125. What is h rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 524092858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r**2 + 6*r + 4. Let t(g) = g**2 + 5*g - 9. Suppose 0 = -7*h + 14 - 0. Let p be t(h). Let k(c) = -8*c**2 + 7*c + 5. Calculate p*k(x) - 6*n(x).\nAnswer: 2*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + k**2 + 1. Let r(v) = 147*v**3 + 2*v**2 + 2. Determine -2*r(x) + 4*u(x).\nAnswer: -290*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 103285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 54596303371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27331.995 - 27388. Let i = 56 + s. Let w = 0.095 - i. Sort -0.7, -0.5, w in decreasing order.\nAnswer: w, -0.5, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(-6\/17)\/d)\/(d*d**(-2\/39)))**(2\/47))**(-9\/4))**(-40) assuming d is positive.\nAnswer: d**(-91560\/10387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 173651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - (1*(sqrt(171) - sqrt(171)*-1) + sqrt(171))) + sqrt(171) + sqrt(171)*-1*-2)\/(-5*sqrt(324)*-5))**2.\nAnswer: 19\/22500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 977616.5ug?\nAnswer: 977.6165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/12807 or -46?\nAnswer: -5\/12807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.61269 rounded to two decimal places?\nAnswer: -34.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1766473 and 5.\nAnswer: 1766478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/7 + 74*b**2\/7 - 1369*b\/7.\nAnswer: -b*(b - 37)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*k = 4*k + 31, 2*z - 4*k + 24 = 0. Let h = -32 - z. What are the prime factors of (-216)\/h + 8\/44?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a. Let s(x) = -10*x. Let b(d) = -12*g(d) - s(d). Let n(q) = q**3 - 9*q. Let w(y) = y - 6. Let p be w(6). Let c = p - -2. Calculate c*n(u) - 9*b(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7*l**3 + 4*l - 6. Let p(y) = -8*y**3 + 5*y - 7. Let g(r) = -r + 2. Let z be g(7). Suppose 17*o + 36 = 23*o. Calculate o*b(d) + z*p(d).\nAnswer: -2*d**3 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kukkkkkkk. What is prob of sequence kuk?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**2*j**4 + 14*a**2*j + 2*a**2 + 4130*a*j**4 + a*j**3 + 2*j**2 - 61 wrt j?\nAnswer: -72*a**2*j + 99120*a*j + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u + 4. Let n(v) = v. Let i(l) = 6*n(l) + x(l). Let q be i(0). Put -3, -2, q in ascending order.\nAnswer: -3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 12*x - 5*x. Suppose 20*j = x*j + 8. Let f(k) = -k**2 - 3 + 7*k + 2 - j - 3. What is f(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + f + 2. Let t be i(2). Let h be (2 - 3 - t)*-1. Let v(z) = -1. Let s(o) = -o**2 - 2*o - 7. What is h*s(a) - 6*v(a)?\nAnswer: -a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - 3. Let u = 30863.7 + -30846.70024. Let s = u + g. What is s rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -226868*f. Let z(t) = 606*t**2. Determine a(z(u)).\nAnswer: -137482008*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2859*q - 1112 + 2863*q - 5724*q + 1112.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 19688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 + 4*b**2. Suppose i - 3 = -0. Let q(r) = -r**3 - 15*r**2 + 27*r**2 - 9*r**2. Calculate i*p(h) - 4*q(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2458400, 9833631, 22125690, 39334583, 61460316, 88502895, 120462326?\nAnswer: 157338615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 350 + -289. Solve -q*d - 30 = -55*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(91)\/(1*sqrt(7)) - -6*sqrt(52)).\nAnswer: 4 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**2 - 17308*d**3 - 5*d**2 + 2*d + 17295*d**3 + 2 to v + a*d**3 + p*d + w*d**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-90)*125\/(-150))\/(3\/(-30)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-21420) + 5882\/(-499970).\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.91 - 0.91. Which is the third biggest value? (a) 5 (b) 1\/8 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/2336 and -59\/416.\nAnswer: 30368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 113850 divided by -150\nAnswer: -759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-42)\/4*2\/(-3) is divided by ((-14)\/4 + 0 + 4)*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*w**2 - 1 + (1 - 3 + 3)*(-w**2 + 4*w**2 - 2*w**2) + 5*w**2 - w**2 + 3*w**2.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37465\/2 + 18741. Let u(n) be the third derivative of 2*n**2 - x*n**3 + 0*n**4 + 0 - 7\/60*n**5 - 5*n. What is the first derivative of u(a) wrt a?\nAnswer: -14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -1390*k**2 + 23635*k + 6. Calculate i(17).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -352\/7*z**2 + 1\/7*z**5 - 17\/7*z**4 + 16*z**3 - 256\/7 + 512\/7*z = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*w + 1, -4*z - 2*w - 18 - 4 = 0. Let u(y) = -5*y**2 - 21*y - 2. Let k be u(z). Let t = -0.1 + 0.6. What is the nearest to 2 in k, -0.3, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/1463 (b) 4 (c) 2\/7 (d) 12 (e) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**5\/10 + 5*t**4\/6 + t**3\/6 + 9*t**2\/2 - t + 161. Let c be w(-5). Solve -44 = c*s - 15*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66182642 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 1. Let d(l) be the first derivative of -5*l**2\/2 + 4*l - 19. Let m(g) = d(g) - 2*o(g). Determine m(-10).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359\/2 <= -1\/461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-333)\/(-36) + (61875\/(-100))\/(-25).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 20*n + 386. Let g(h) = 11*h + 216. Let v(d) = 7*g(d) - 4*x(d). Let k(j) be the second derivative of -j**3\/3 + 9*j. Determine k(v(c)).\nAnswer: 6*c + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 1 = -4*c. Suppose 3*j = 11*j + 424. Let l = c - j. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 - 4*m**3 + 5*m**3)*(2 + 1 - 4) + 20*m**3 + 52*m**3 + 61*m**3 + (0*m**2 + 0*m**2 - m**2)*(0*m + m - 2*m) + 3*m**3 - 3*m**3 - 3*m**3.\nAnswer: 130*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531677 is divided by 79?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 239645315*z**4 + 513*z**2 + 74815*z.\nAnswer: 5751487560*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -101101100101100100101 (base 2) to base 12\nAnswer: -600571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58236385 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: Suppose 2*s + 0*s + 32 = 4*a, -1 = -a + 4*s. Let n = a - 5. What is the second derivative of -o - 2*o + 0*o**4 - o**n wrt o?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 20*t - 1 - 21*t - 1 + t**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 19*m**2 - 91*m - 58. Determine o(-23).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79614.\nAnswer: 2, 3, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/5*(11 + -1))\/(-6). Let t = -0.47 - -0.37. Let h = -342 - -3074\/9. What is the nearest to t in 5, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41 - 2) + 2 - (4 - 14 - 8 - -9)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85*g**3*y**2 - 24108*g**3 + 5628*g*y - 2*y**2 - 79 wrt g.\nAnswer: -510*g*y**2 - 144648*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 18*x**4 + 5*x**3 - 49*x**2 + 1142*x + 3. Let i(k) = 3*k**4 + k**3 + 5*k + 1. Let d(c) = 5*i(c) - t(c). What is the second derivative of d(s) wrt s?\nAnswer: -36*s**2 + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = -5*a, a - 21 = -5*n. Let k(w) = w**2 + w + 3. Let i be k(n). Suppose 3*g + 0*g - i = 0. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2. Let f(y) = 5*y**2 + y + 94. Give -f(r) + 2*i(r).\nAnswer: -5*r**2 - r - 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3437 - 4\/8*8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -197896 smaller than -197933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, -7.3, 0.06, -12 in increasing order.\nAnswer: -12, -7.3, 0.06, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/14 - (-6)\/(-21). Let h = k - 2. Is h\/(-1) + 1 - -16 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 638196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, q: 2, y: 2, c: 4, b: 7}. Give prob of picking 1 m, 1 b, and 1 q.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7602 divided by -21\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -823e + 0?\nAnswer: -823e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**5\/60 + l**4\/3 - 31*l**3\/6 - l**2 + 5*l. Let y(i) be the first derivative of u(i). Let r(g) = -4*g**2. Determine y(r(a)).\nAnswer: 8*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1212321311 - 0?\nAnswer: -1212321311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14792, 2\/21, -75, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**12*x))**(-39))**(-1\/24) assuming x is positive.\nAnswer: x**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g = -1657 + 1857 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11231511 divided by -3.\nAnswer: -3743837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 14) in base 6?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6417604 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -9*f. Let x be h(-1). Let k = -33\/4 + x. Find the common denominator of k and 51\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/10 + 34\/10. Suppose -56 = -7*u + y*u. Let b = -2 + 14. What is the lowest common multiple of u and b?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, q: 3, l: 1, k: 2, p: 8, u: 1}. Give prob of picking 1 k and 1 p.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -k + 3*s, 138*k + 3*s = 127*k + 3. Let i be 2\/4 + (-2)\/(-8). Which is the nearest to -2\/11? (a) k (b) i (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49466323, 98932647, 148398971, 197865295, 247331619, 296797943?\nAnswer: 346264267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 14 and 14 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11666*o**3 + 24439*o**3 - 12779*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 91*p**2 - 94*p**2 + 5*p**4 + p + 5*p**3 - 93*p**2 + 102*p**2 to v*p**2 + t + x*p**4 + c*p**3 + l*p and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2739986 is divided by 76107?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 9 = -45. Let x be (-36)\/o*(-6)\/(-4). What are the prime factors of (-60)\/(-2) - (-2)\/x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w - 19. Let f be j(9). Let i = -285 - -2283\/8. What is the third biggest value in -3\/5, f, i?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-7)\/((-21)\/12). Let m be (15\/(-2))\/5*q. Solve 23 = -5*t + s, 4*t - 7*s = -m*s - 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2234 a factor of 7042122032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 20*b = 463. Let d = 956 + b. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -499330000 rounded to the nearest one million?\nAnswer: -499000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 - 91. Let j be 1\/((-6)\/(-8))*-3. Is l at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.23 and 73.\nAnswer: -16.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -221 - -138. Let f = 56113\/170 - 5460\/17. Calculate the common denominator of f and l\/4 - (1 + -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6864287 - -0.1\nAnswer: -6864286.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -69161060 rounded to the nearest 10000?\nAnswer: -69160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - v. Let b be g(-1). Suppose b*i = -3*i + 30. Let l(u) = -u**2 + 10*u - 3. Let x be l(i). Solve 5*y + x = -p + 2*p, y = p - 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3687712574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**2\/4 + 69*u\/4 - 63\/2 = 0.\nAnswer: 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -31. Let y(m) = -14*m**5 + 4*m**2 - 13*m. Let l(h) = -h**5 + h**2. Let p(z) = a*l(z) + y(z). What is the second derivative of p(c) wrt c?\nAnswer: -200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1427*g**3 + 2*g**2 + 6*g**2 + 1413*g**3 + (0*g + 2*g**2 + 0*g)*(444 - 31*g - 444) to the form p + i*g**3 + o*g + k*g**2 and give i.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 5. Let w be (2\/d)\/((-2)\/6). Let h = w - -5. What is the least common multiple of 10 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -285854 (base 10) to base 14.\nAnswer: -76262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j**2 + j**2 + 4*j**2)*(0*j - j + 7*j) to the form h*j**2 + u + q*j + t*j**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**19)**(3\/10) assuming l is positive.\nAnswer: l**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 233434 - -2?\nAnswer: 233436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/27 and (8\/10*46\/(-36))\/(882\/70).\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/9 + 4*y**2\/9 - 32*y\/9 - 64\/9.\nAnswer: 2*(y - 4)*(y + 2)*(y + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2219 - 18?\nAnswer: -2237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.053 and -0.02.\nAnswer: -0.00106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*w - 1. Let v be 6\/10 + (-85)\/(-25). Sort w, -3, v in decreasing order.\nAnswer: v, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114253290419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9295 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w + 122*w**2 - 84*w**2 + 56*w**2 + 80*w**2 to the form x*w**2 + j*w + r and give x.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 - 13 + 5*f + (2 - 5 + 2)*(2*f - f - 2*f) - 2*f - 4*f + 3*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -28*f, -t + 194*f = 195*f - 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o + 28 = 0. Suppose -o*a = -32*a + 128. Suppose -a = -4*q + 48. What is the remainder when 79 is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akkkkggkcpgkg. Give prob of sequence kpa.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (26 - 25 - (-1 - -1)) + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)*f*f\/(f*f\/f**(2\/7)))**34*(f**(-2)*f*f**(1\/4)\/f)\/(f**(-4)\/f**4) assuming f is positive.\nAnswer: f**(-6217\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -54?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2858814589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 10*k - 2. Calculate q(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13484015.\nAnswer: 5, 19, 141937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 36433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-63)\/28)\/(9\/(-312)). Calculate the highest common factor of s and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + (0 + -5 - -3). Let w be (3\/(-2))\/((-2)\/a). Suppose -i + 18300015 = 2*i - w*o, -5*i = 4*o - 30499980. What is i rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 46*a**2 + 43*a - 4. Let v(n) = 91*n**2 + 86*n - 8. Let s(o) = 13*q(o) - 6*v(o). Let u be s(12). What is u rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -17) + 1 - (1387 + -1398) - -10.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -124 + 1112\/9. Which is the closest to 1? (a) -3\/5 (b) 2\/17 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1377 <= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 6, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 - 2*m**2 - m - 4. Let v be (27*51\/18)\/((-2)\/(-8)). Suppose -8*b - v = -11*b. Calculate the remainder when b is divided by q(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a8 + 367?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8712464ug to nanograms.\nAnswer: 871.2464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 7*d**2 + 15*d + 44. What is i(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 110\/15 - 7 - 28\/(-6). Which is the third biggest value? (a) 6 (b) h (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 12804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1085 + 1085.26. Which is the closest to n? (a) -1\/3 (b) 3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**7\/140 + l**5\/30 + l**3\/3 - 6. Let d(r) be the third derivative of a(r). Find the second derivative of d(j) wrt j.\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/6)\/((-3)\/(-45))*-1. Solve -s + 5*s + 4 = 0, 4*l = -v*s - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100.4745318 + 10.525409. Let h = g - 111. Round h to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19\/210 + 4\/21. Suppose 2*f + 2*f - 4 = 0. Which is greater: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38005 - 114?\nAnswer: -38120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (14 - 8) + (-19 - 1) + (2 - -1)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 - 277*f**2\/4 + 2510*f - 21476.\nAnswer: (f - 236)*(f - 28)*(f - 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-7) + 26\/(-91). Solve n*r = -3*r - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -17*a - 217. Let k be q(-13). Sort k, 1, -1\/52 in decreasing order.\nAnswer: k, 1, -1\/52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -33*q - 2. Let n be b(-2). Let w(k) = k**2 + k + 2. Let a be w(0). Suppose 5*c + 140 = 5*s, a*c = -s - 2*s + n. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-28)\/(-8)*-2. Let h be 0\/2 - (a - 16). Let o = -0.3 + 0. Sort -2, h, o in decreasing order.\nAnswer: o, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 276, 292, 310, 330?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 13*d + 8. Let r be h(6). Solve -r*o + 5 = -7*o - 2*s, -3*o - 3 = 4*s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16620 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**5 - p**3 - 1. Let t(q) = 3*q**5 + 6*q**4 - 11*q**3 + 2*q**2 - 5. Let b(s) = 5*k(s) - t(s). What is c in b(c) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -2. Let t be (2\/k)\/((-2)\/18). Suppose -15 = t*l - 6*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48928 is divided by 467.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0 (b) -2\/27 (c) -34 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15178425 and 1383.\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.87, 15\/4, 4, 0 in decreasing order.\nAnswer: 4, 15\/4, 0, -1.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3850406489?\nAnswer: 1933, 1991933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 6\/7, -876, 0.3 in descending order.\nAnswer: 1, 6\/7, 0.3, -3, -876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 15 = 13*d. Let z be (-1)\/1*(3 + 0). Let v = z - -5. Put 3, v, d in increasing order.\nAnswer: d, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-10)*v*v*v**0*v*v*v)**(-29))**(3\/7))**(24\/5) assuming v is positive.\nAnswer: v**(2088\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 38*m - 41*m + 36 = 0, 3*l - 16 = m for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 21*8*(-45)\/(-2520)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 6 = -4*t, 4*t + 2 = -2*r - 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -155\/2037 + 12\/97. What is the smallest value in 2, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7)\/(-168)*-8*(-2432 + -1) is divided by 166?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197903587 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 418 and 228?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1736859 divided by -1736859\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 6 = -2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**5\/20 - g**4\/3 - 2*g**3\/3 - g**2\/2 + 10*g. Suppose -4*n - 2*j + 2 = 4, 5*n - 10 = -5*j. Give z(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 39*h**2 - 6*h + 5 + 1 - 2.\nAnswer: -39*h**2 - 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 0) + 10\/2. Solve -5*o + 13 = l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (2*sqrt(171)*-4 - sqrt(171)))\/(sqrt(1296)*3).\nAnswer: -2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 128 + 2*v + 131 + 10*v.\nAnswer: 17*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 6*x - 29. Calculate the highest common divisor of 63 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, 2\/3, -0.2, 4, 0.146?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = s + x - 5, s + 2 = -4*x. Solve 14 = -3*q - s*o, -q + 8*o - 3*o + 1 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56974.19 weeks to microseconds.\nAnswer: 34457990112000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 201*s**2 + 5246*s + 4083. Give k(170).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 2*h**3 - h**3)*(8 + 8 + 3)*(-3*h + 0*h + 2*h).\nAnswer: 19*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -1\/2 (c) 4 (d) -63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 23, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6614751 to the power of 1\/2, to the nearest integer?\nAnswer: 2572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 1189479434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((442\/(-91))\/17)\/(2\/7))\/(-2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.0668 (b) -2\/3 (c) 1117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m + 5. Let v be p(3). Let r = -17 - -28. Which is the smallest value? (a) r (b) 3\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 9 = -0*d + d, -4*d + 12 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*n - 2 + 4 - 2.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26\/23 in 42, -1, -3\/7, 9\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (415\/7885)\/(-1*(-1)\/(-2))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**3*k)\/(k**(1\/3)\/k*k))\/(k**(-1\/5)*k**(-1\/3)\/k) assuming k is positive.\nAnswer: k**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*u + 468043 = 25*u + 7408. Does 42 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - 34. Let m be r(-12). Let x be -4 - (4 + -12)\/1 - m. Sort x, -5, -1 in decreasing order.\nAnswer: x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 - -56.99\nAnswer: 22.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41557429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27512 and 9442.\nAnswer: 129884152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 56. Let o be 158\/(-8) + g\/(-52). Do o and -20 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, v: 1, e: 1, n: 12}. What is prob of picking 1 j and 2 n?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 29*h**2 - 56*h - 595. Calculate j(-28).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26398*x - 32330*x - 314396 for x.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 594445.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) + 495\/105. Suppose -m - q = 4*q + 95, 5*q = -25. Is (22\/(-4))\/(r\/m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {i: 4, q: 4, p: 9, a: 3}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/2296 and 5\/98.\nAnswer: 16072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -1. Let q = -0.111 - 0.879. Let v = 0.01 - q. Which is the nearest to v? (a) -4 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62345 - 26*h**2 + 62345.\nAnswer: -26*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35\/114 + -1\/38. Let h = -48.5 - 13.5. Let o = -61.9 - h. Which is the smallest value? (a) 1 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*2*-4 + -6*3*sqrt(5) + -1)**2.\nAnswer: 52*sqrt(5) + 3381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*(-2*sqrt(3000) + sqrt(3000)))\/((sqrt(220)\/sqrt(44))\/(sqrt(2) + sqrt(18)*-4)).\nAnswer: 1100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 6*z. Let b(r) = 2*r**2 - 13*r. Let l(g) = -6*b(g) + 13*v(g). Let a(s) = -4*s. Calculate a(l(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -4 (b) 31 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 9, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -9?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -125 (c) 21.02 (d) -0.7 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2800 and 6384.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**3 - 7*v**2 + 7*v - 10. Let n(l) be the first derivative of l**4\/4 - 2*l**3\/3 + l**2 - 3*l - 84. Determine -7*n(j) + 2*y(j).\nAnswer: -j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444789022 a multiple of 3070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 2. List 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 47372731 to the power of 1\/2, to the nearest integer?\nAnswer: 6883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -12*p + 3. Suppose n + 0*z - z + 10 = 0, -4*z = -3*n - 34. Is x(n) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**2 - t - 54. Let w(u) = u. Give q(w(h)).\nAnswer: -5*h**2 - h - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 435704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 991\/11 + -1949\/22. Sort g, -1, -4, -3, 0.1.\nAnswer: -4, -3, -1, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 1126 = 262. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxxexpxppaxxpwpaxbp. Give prob of sequence aap.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -310390 - -5897389\/19. Let r = 29 + -17. Calculate the common denominator of u and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -89776 at most as big as -89794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -156062072 divided by -2\nAnswer: 78031036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a + a + 2*a + (-1 + 1 + 2*a)*(2 + 0 - 4) as o + l*a and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230516 and 2046?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 141728*c + 2510853248.\nAnswer: 2*(c + 35432)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3901 and 5332667?\nAnswer: 3901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8\/45 - -1\/45. Let l = -3 - -4. What is the biggest value in -1, p, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r - 15. Let o be k(-10). What is the highest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -7366771\nAnswer: -21\/7366771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-440197)\/115)\/(4\/(-20)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(425))*-4 - (sqrt(425) + -2 + -2).\nAnswer: -25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 302 = 327, -13 = v + 4*w for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9195?\nAnswer: 3, 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**4)\/(n**(-1)\/n))**(3\/40)*((n**(-1\/4))**48)**(10\/13) assuming n is positive.\nAnswer: n**(-4839\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*l = 5*y - 186216, -2*l + 124124 = 4*y. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 401*m - 181*m = 880. What is a in -1\/4*a**m + 1\/2*a - 5\/4*a**2 + 0 + a**3 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2066*l. Let w(g) = -g**2. Give w(f(u)).\nAnswer: -4268356*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-10))\/(594\/(-9900))*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 200055045323 - 5?\nAnswer: 200055045314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 80, 187, 326, 491, 676, 875, 1082?\nAnswer: 1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 + 2*g - 87. Determine t(-11).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4489 or 4490?\nAnswer: 4489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**(-41)\/((a*a\/(a**9*a)*a*a)\/a*(a*a**(-1\/7)\/a)\/a))\/((a**(1\/15)\/a*a)\/((a*(a*((a\/(a\/a**1))\/a)\/a)\/a)\/a)*a**(3\/8)\/a**(2\/9)) assuming a is positive.\nAnswer: a**(17447\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -374 divided by -6\nAnswer: 187\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 2*p - 3*p + 56, -30*p + 80 = 5*y - 6*p - 25*p for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126639?\nAnswer: 3, 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-25))\/((-1)\/(-10)) - (-4)\/(-2). What is the closest to -1 in 5, v, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 8*u. Suppose u = -m + 4*s, -18 = -m - m - s. Calculate the remainder when 77 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + ((-500)\/(-24) - -1) and -149\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4703*v**3 - 8369*v**3 - 16003*v**3.\nAnswer: -19669*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 14*t**3 - 3*t**2 - 2*t + 2. Let l(v) = 42*v**3 - 8*v**2 - 7*v + 7. Let n(y) = -2*l(y) + 7*z(y). Find the third derivative of n(d) wrt d.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2\/15 - 3002*x\/5 = 0.\nAnswer: 0, 4503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15260 - -15830. What is the lowest common multiple of q and 9?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2793? (a) 48\/5 (b) 0.2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is bb5 (base 14) in base 15?\nAnswer: a45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 15*j + 4*j + 31. Let c(h) = 21*h**2 - 2*h - 3. Calculate c(j).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 3:31 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9222.2 and -8.12199.\nAnswer: 9214.07801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -480092, -960176, -1440260?\nAnswer: -1920344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 13*u - 17. Let x be s(-12). Let h = -1\/799 - -1611\/10387. Sort h, 4, x, -3 in increasing order.\nAnswer: x, -3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 40*g + 111 = 0, -4*g = 106*n - 104*n - 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544 = -4*l + 5*d - 48, -2*l + 248 = -4*d. Suppose 12*w = l - 28. What is the third derivative of 38*k**2 - 26*k**2 + w*k**2 - 24*k**5 wrt k?\nAnswer: -1440*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(352)*-1*-2)\/sqrt(11))**2.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 173750 - 369750. What is s rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -415*g**4 - 778*g**4 + 62*g + 773*g**4 + 13*g**2 wrt g.\nAnswer: -10080*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -1, 19, 59, 125, 223?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2154*v**2\/7 - 40122*v\/7 - 5424.\nAnswer: -6*(v + 1)*(359*v + 6328)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000000101110 (base 2) to base 10.\nAnswer: 12334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**2 + 2250*q - 27288 = 0?\nAnswer: -1137, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98169838 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**5\/30 + m**4\/4 + m**3\/6 + 3*m**2. Let g be u(-4). Suppose -3*b - g = 0, -5*a = -5*b + 20 - 75. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 + -22100?\nAnswer: -21220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-139)\/4 - -1)*(-56)\/21. Let x(t) = t + 22. Let b be x(-12). Calculate the greatest common factor of m and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50.46 + -54. Let h = m + 3.94. Which is the second biggest value? (a) 1 (b) h (c) 0.12 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*h - 16170, 165*h - 166*h = -2*j - 8076. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlyt when four letters picked without replacement from ytmyumumlym.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1343)\/(-119) + 2\/(-7). Solve -r = -5*z - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 10:42 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*b**2 + 185 - 113*b**2 - 185.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -4 - (-2 + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 - 46. Let n(y) = y**2 - 15 - 4*y**2 + 0*y**2 + 4*y**2. Let p(o) = 2*h(o) - 7*n(o). What is p(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10574 + -6885. What is the greatest common divisor of 357 and c?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 6 + 19 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + h - 5*h = -7, 5*h = 2*y - 1. Let b(i) = -y + 4 + 4 - 5*i. Let c(j) = -5*j + 7*j + 2 + 0 + 0*j. Calculate -6*b(z) - 14*c(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 624 + -972. Let n = 165 + m. Let z = -183.000000178 - n. What is z rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -1.8 (c) 1\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**4 + 1446*t**3 + 2899*t**2 - 4344*t = 0.\nAnswer: -3, 0, 1, 1448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-10))\/(8\/10). Let j be (-2)\/(-6) - (-35)\/(-42). Sort 4, l, j.\nAnswer: j, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 9 = -9*g. Suppose 2*r = 5*q + 7*r + 25, -19 = 5*q + g*r. Let h = 22 + q. What is the lowest common multiple of h and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from oooojooqooqoqa.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7 - 11 + 9*c**4 + 5 with respect to c.\nAnswer: 36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-104)\/10 - 18\/(-45). Let d be 154\/j + 2 + (-50)\/(-125). Let h = d + 16. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5488913.\nAnswer: 37, 109, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0227? (a) 5 (b) -7 (c) -4\/9 (d) 3\/7 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117 - -159. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.54 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (18 - 4)) + (1 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11755 (base 12) in base 11?\nAnswer: 16758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -9c?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -11952*o - 11702*o + 23937*o. Let l(f) = 7*f**2. Give a(l(z)).\nAnswer: 1981*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(153) - sqrt(153))\/sqrt(9) - (sqrt(17) + ((2*sqrt(272))**2 - sqrt(272))).\nAnswer: -1088 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 3, -0.4, -25, 2\/9, -0.01?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_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: Simplify (-2*sqrt(1216) - (sqrt(38)\/sqrt(2)*-6 + sqrt(19)))**2.\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0\/r**(9\/5))\/(r**(-6)*r*r**(-1\/3)\/r*r))**(2\/47) assuming r is positive.\nAnswer: r**(106\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -1\/3*v**3 + 0*v**2 + 1\/4*v**4 - 2*v + 5. Does 9 divide m(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**3\/6 - 7*m**2\/2 + m. Let c be u(9). Let r(z) = z - z - z**c. Let y(h) = -h**2. Determine r(y(x)).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(116\/1392).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 690 and 134430?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isiciinsiiinsssiiii. Give prob of sequence ci.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + -2*2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/79 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13807 times 691\nAnswer: 9540637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 951006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011691917 to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-5)\/(sqrt(6)\/(sqrt(2) - sqrt(8))) + sqrt(140)\/(-2*(sqrt(5) + sqrt(5)*2)).\nAnswer: 29*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10861.80515 to the nearest one hundred.\nAnswer: 10900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 9 + 36. Let a = g + -14. Let r = a - -22. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t + 24*t + 461 = 93*c - 564, -6*t + 2*c - 3*c + 7 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8718*b**3*k**3 + 3*b**3*k**2 - 224*b**3*k + 9*b**2*k - 58*b*k wrt k.\nAnswer: -52308*b**3*k + 6*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1859, 3261, 4601, 5879, 7095, 8249?\nAnswer: 9341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 59*u**2 - 27*u + 26. What is the thousands digit of v(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -554, -1, -4, 0, 8 in ascending order.\nAnswer: -554, -4, -1, 0, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or -9.479?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (3*sqrt(605))**2) + 2.\nAnswer: -5443 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -492 + 496. Solve 2*h + g*h = 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 33 - 0. Let o(d) = 9*d - 3. Let y(z) = -8*z + 2. Let r(i) = 2*o(i) + 3*y(i). Let m(n) = -n. What is c*m(a) + 2*r(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 + 4 + -32 + 2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-25)*(8 + -2 - 11)*-4. Solve 5*i - i - 5*p + 20 = 0, -2*p + z = -4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32923\/3105 + 2\/621. Calculate the common denominator of d and 21\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 128\/16 - 1*8. Solve k = 16*a - 13*a + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*1)**2 - (sqrt(162) + 0) - (4 + sqrt(98) + 0).\nAnswer: -16*sqrt(2) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h - 6*h - 4*h**5 + (-2*h**3 - 2*h + 2*h)*(-2*h + 2*h**2 + 2*h).\nAnswer: -8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31152 less than -392?\nAnswer: -31544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 1\/620, 50, -1?\nAnswer: 1\/620","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, a: 2, l: 13, h: 1}. Give prob of sequence alap.\nAnswer: 13\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g - 24*g + 6*g + 5*g + 9*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.76 + 2.76. Put l, -20\/11, 5 in ascending order.\nAnswer: -20\/11, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/479104 and 109\/359328.\nAnswer: 1437312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 25. Let z(y) be the third derivative of y**4\/12 - 11*y**2 - 1. Calculate g(z(v)).\nAnswer: 2*v + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2010\/54 - (-2)\/(-9). Suppose -5*p = -4*p + u. Let q = p + 76. What is the highest common divisor of q and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 468 and 153387.\nAnswer: 613548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*w - 13678 = -278*w - 5035. Solve -w*s + 44*s + 4*z - 7 = 0, 0 = 2*s - 5*z + 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -13) + (-9 - -2) - -2 - -17.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyfffyyyfyyyyyyyy. What is prob of sequence yfy?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 34616081*l**3 + 306*l**4 - 21*l + 34616081*l**3 as c*l**3 + f*l + i*l**2 + t*l**4 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/11))**45\/(c*(c\/c**1)\/c*c*c*c*c\/((c\/c**(2\/25))\/c)))**(-3\/7) assuming c is positive.\nAnswer: c**(10116\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 34836, 34834, 34832, 34830, 34828?\n\"Answer: -2*h + 34838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 10:59 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from klplkpplklpcclzlcpl. What is prob of sequence lp?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 338944.6 kilograms?\nAnswer: 338944600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 5) to base 8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -35.528 times -0.5\nAnswer: 17.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76325121 to the power of 1\/3, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n + 162 + 43 = 0. Put n, 224, -2 in descending order.\nAnswer: 224, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -29. Suppose 5*v = -j + 11. Let g(x) = x + 4. Let l be g(-7). Sort -5, v, l, -2 in increasing order.\nAnswer: -5, v, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.732 * 2.74.\nAnswer: 2.00568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 2:26 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 350921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71.71 - 72. Let d = 0.01 - x. Sort 2, -1, d.\nAnswer: -1, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 11:15 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 968136 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -3, -2\/95, -0.1, 0.046?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96628394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 * -0.24.\nAnswer: -0.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 5, h: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21297 and 345561.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 0 + 0*d**4 + d**2 + 37\/30*d**6 + 0*d**5 - d**3 - 25*d. What is the second derivative of z(m) wrt m?\nAnswer: 444*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-3)*4*(-4)\/4*(-294)\/196.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p - 5*p + 5*p + 4 - 4 + 10*p + (-5*p + 2*p + 4*p)*(2 - 3 + 2) + 3 - 3*p - 3 + (1 - 1 - p)*(-4 - 1 + 4) to h + q*p and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1247 + 304265\/244. Let l = -1699\/732 + t. Is -3 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/((o\/o**(-6))\/o))\/o))**39*(o*o*o**22*o*o*o)\/((o*o**(-22))\/o) assuming o is positive.\nAnswer: o**322","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**6\/120 - 2*b**5\/15 - 3*b**4\/8 + 7*b**3\/6 - b**2\/2 + 29*b + 73. Let y(c) be the second derivative of v(c). Determine y(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**3 + 30*v + 165*v**3 + 41 + 33*v - 63*v with respect to v.\nAnswer: 501*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 79.01 (c) -4 (d) -2 (e) 7.57 (f) -0.9 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + ((sqrt(3564) - (sqrt(3564)*-1 + sqrt(3564)))\/(sqrt(288)\/sqrt(8)))**2 + -1.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*m - 442*m = 25*b + 1, 4*m = -b + 4*b - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 - 2398*h - 7203.\nAnswer: (h - 2401)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = -13*d - 20*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19640921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 2 + (2 - -28). Let t = l + 119. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4373644 is divided by 3163.\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43227 is divided by 562.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 + 8 + d**3 + 3 + 14 - 7 + 72.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (4 - 5 - -4) - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -2*d**3\/3 - 3*d**2 - 16. Factor w(p).\nAnswer: -2*p*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p**(2\/9))**28\/(p**(1\/5)\/p**6)**(-4\/21) assuming p is positive.\nAnswer: p**(10432\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 7278?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*f = 21, 2*f = 3*p - 0*f - 7. Let o be (0 + -2 - p)*-1*5. Suppose 3*t + 4*k - 5*k - 596 = 0, -k = o*t - 988. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5709 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1606808.03 to the nearest 10000.\nAnswer: -1610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -259410, -259411, -259412, -259413?\n\"Answer: -q - 259409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18418 - 26412. Let f = 75942833\/16 - 4754418. Let h = s - f. Find the common denominator of -9\/5 and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1230 + 6953. List the prime factors of a.\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3679980 and 2575986.\nAnswer: 25759860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -627 = -4*b - 5*t, b + 6*t - 183 = 10*t. Let z = 164 - b. Which is smaller: 2\/55 or z?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4401 = y, 9827 = 3*y - 3*a - 3451. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**6 + 712*d**5 - 8*d**2 - 366*d wrt d.\nAnswer: 240*d**3 + 42720*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 325 - 290. What is the smallest common multiple of 21 and c?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 407188?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 184 = 5*s, 2*s = 2086*n - 1066*n - 1052*n + 172 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 374 - -1099. What are the prime factors of x?\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.98, 2, 5, 4, -1\/3, -1\/421.\nAnswer: -0.98, -1\/3, -1\/421, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 41380280.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2973, 3535, 4097?\n\"Answer: 562*l + 2411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 260833.9 to the nearest ten thousand.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdsc when four letters picked without replacement from sqqcksscccfsfqddqsfc?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -23*n + 43. What is v(7)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/269 (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 5*y**2 + 3. Let o be f(5). What is the remainder when 37 is divided by o - (2 + -13) - 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfsm when four letters picked without replacement from {f: 1, p: 3, j: 1, m: 2, s: 2, o: 3}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.2 in 4\/7, 18475, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 2. Let b = -1.6 - d. What is the closest to b in 1, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2327445800 rounded to the nearest 100000?\nAnswer: 2327400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8802 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3720*n - 31863 = 213657 for n.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*c**2 - 1201767071 - 66*c**2 + 209*c**2 + 1201767071 - 71*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 10. Suppose -v*x + 8*x - 30 = 0. Is -3 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 129 = 47. What are the prime factors of c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-54)\/(-14) - 15\/(-105). What is the derivative of 9*n + 4*n**3 + 55 + c*n**3 - 3 + 64 + 121 wrt n?\nAnswer: 24*n**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 44757b - 1?\nAnswer: 44757a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -2 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x. Let v(n) be the second derivative of -17*n**7\/2520 - 5*n**4\/12 - 8*n. Let r(d) be the third derivative of v(d). Calculate r(i(w)).\nAnswer: -68*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 11. Which is smaller: j or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1 (b) -5 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -77. Solve 43*z + 12*z**3 - 36*z**2 + 9*z**3 - g*z**3 + 17*z - 28 = 0 for z.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -2. Let p(u) = u**3 + 7*u**2 - 2*u - 7. Let w be p(-7). What is the highest common factor of a and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 412995?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 + -38. Let a = q + 31. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23031 + 32396. What is the thousands digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81990821.\nAnswer: 11, 167, 44633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 4)*(-4)\/6. Let x be 4*a*3\/(-2). Does 10 divide (-32)\/x*30\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h**4\/18 - 2*h**3\/3 + 7*h**2\/3 + 5*h - 19. What is l in m(l) = 0?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9397 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 0 - 3 + (2 - 6 - 3)*(2 - 8 + 2))*(-6 + 4*o + 6) as b*o + d and give b.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 8 = 32. Is -10 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 13861984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 + 122. Let o = y + -399\/5. Determine j so that -o*j - 1\/5*j**2 + 1\/5*j**3 + 1\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-2450.\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (21\/2)\/((-99)\/66))*-4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 997 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**0)\/g)\/g)**(3\/17)\/((g**(-2\/15)*g)\/g*g*g**(2\/17)) assuming g is positive.\nAnswer: g**(-296\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2142, -2138, -2130, -2118?\nAnswer: -2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 - -56 - (-4 + 0 + -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Suppose 14*s - 31 - 11 = m. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhhhhhhciihhfachhl. What is prob of picking 1 f and 2 h?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 1. Let q be i(-2). Suppose -5 + q = -s. Suppose -6 = -2*j + t, -j + t + 0 = -4. Solve -2*z + 0*m + 2*m = j, -m + s = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35173.88 - 35174. Let m = 0 - -0.5. Which is the closest to 0.4? (a) o (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.6 - 0.4. What is the second smallest value in 2\/13, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-4) - 771\/12. What is the common denominator of h\/(-3) + (-1)\/(-2) and 5\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-1704))\/(43\/(5504\/(-48))).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6936 times -22\nAnswer: 152592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3087743172 to the nearest integer?\nAnswer: 55567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*y**2 - 1671 + 1671.\nAnswer: -62*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-203)\/15)\/(-7))\/(((-720)\/(-120))\/90).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 268? (a) -2\/3 (b) 46 (c) 1.2 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1942 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21 + -12)\/(-1 + 10\/4). Find the second derivative of 19*g**2 + w + 2*g + 3*g + 34*g**2 - 3 wrt g.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 0 + 0*v**3 + 0*v - 109*v**2 + 7\/75*v**5 - 1\/30*v**4 - 49\/600*v**6. Factor l(h).\nAnswer: -h*(7*h - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - 251. Let y = f + 632. List the prime factors of y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 275 + 19.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/5 and 6436747 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -404, 0.5, -5, -1, 0 in ascending order.\nAnswer: -404, -5, -1, -0.3, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1851 divide 721402264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*f - 139*f + 5*u + 47 = -54, f - 9*u = 2*f + 169 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.80707199 rounded to four dps?\nAnswer: 0.8071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751 is divided by 191.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (18 - 1 - ((-15 - -91) + 14)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*s - 63 + 199 + 137 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-426)\/8)\/(15\/(-2)) and (-511)\/(-30)*(1939\/(-98) - -20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52718\/16465 + -6\/3293. Determine c, given that 12\/5 - 2\/5*c**3 + a*c**2 - 26\/5*c = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -106*y**3 + 182*y**2 wrt y?\nAnswer: -636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 55. Suppose 2*v + 11 = -9. Let y be (5\/v)\/((-3)\/(-138)). Let s be m(y). Sort s, -1, 1\/4 in ascending order.\nAnswer: -1, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 47*w**3 + 15*w**2 + 83*w + 24. Let j(x) = 16*x**3 + 6*x**2 + 28*x + 9. Determine -8*j(c) + 3*q(c).\nAnswer: 13*c**3 - 3*c**2 + 25*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -14. Let d = 10.5 - z. Which is the nearest to -1\/3? (a) d (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 23130\/14 - 522\/(-609).\nAnswer: 6612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -385, -651, -937, -1237, -1545, -1855, -2161?\nAnswer: -2457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 7:16 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4*5568\/(-58). Let a be (-1 + 1)*(-12)\/r. Solve a = -3*d - 2*d - 5, 5*z = -d + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + r - 1. Let y(c) = 5*c**2 - 5*c + 4. Calculate -6*v(h) - 2*y(h).\nAnswer: -4*h**2 + 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 236528656 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 205 - 2667\/13. Let z = 1.02 + -0.02. Let p = z - 1.5. Sort w, p, -5\/3 in ascending order.\nAnswer: -5\/3, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1160 and -131\/390?\nAnswer: 45240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 583*q**2. Let j(x) = 255*x. What is d(j(u))?\nAnswer: 37909575*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + sqrt(190)\/(sqrt(5) + sqrt(5)*-2) + sqrt(38))*6)\/(sqrt(22)\/(sqrt(1331)*1)).\nAnswer: 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1092 = 2*m - 116, 5*d + 2*m = 984. What is the highest common divisor of d and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15272055 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 10*d - 290 - 303 + 224 = 0 for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Let h = 2 + u. Which is greater: h or 1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 27*j + 22. What is the least common multiple of 8 and g(-27)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 2. Let f be w(2). Let j be -2*(0 + 1 + f). Let k(t) = 9*t**2 - 2*t - 3. Is k(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/5 + (-154)\/210)*5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + u - 59092 + 59104, -4*t + 4*u = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1168109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -20*z**5 - 3875*z**4 - 66210*z**3 - 102205*z**2 + 29750*z = 0?\nAnswer: -175, -17, -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 4 - 4*g**3 - 7 - g**3.\nAnswer: -5*g**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/357 - 100\/357. What is the second biggest value in -3, p, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -44*d**2 + 1021*d - 1190. What is the derivative of l(y) wrt y?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 292059611?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -40690990 from 3909.89.\nAnswer: 40694899.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 30*x**2 - 1525*x - 836. Give n(57).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkjknnknknnnkknnj. What is prob of sequence kknk?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**4 - q**2 + q**2)*(-3*q - 2*q + 4*q) + 2*q**2 - 2*q**2 + q**5 - 3*q**5 - 12*q**5 + q**5 + (5*q**2 - 5*q**2 + 4*q**3)*(-5 + 5 + 2*q**2).\nAnswer: -3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1986348 and 67\/108.\nAnswer: 17877132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2700) + 1)**2*4 + (5 + sqrt(3) + -3 - sqrt(33)\/(-3*sqrt(11))) + 2.\nAnswer: 724*sqrt(3)\/3 + 10808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - 3. Let q = -5 - z. Let n(g) = 0*g + q*g - 2*g. Let j(x) = -2*x. Give n(j(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 54*l - 627. Determine b(38).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 i, and 1 y when three letters picked without replacement from yjyytiyjyj.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -5*u + 124. Let n be (10\/(-6))\/((-3)\/9). Suppose -n*j = 108 - 263. What is the remainder when j is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 7 = 5*g. Suppose -99 = -3*l + g. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*l - 6 + 5 + 4 wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-6) + ((-11)\/2 - -2). Let i(g) = g + 7. Let f be i(a). Suppose -u - f = -v, 5*u = -3*v + 31 - 6. Solve -v*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 = -3, -2*d = 2*o - 16. Suppose o = 3*b - 3. Let h be (-78)\/(-9) + (-6)\/(-18). Solve b*j - c = c - 7, 5*j = 2*c - h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*q + 1114, 3*c - 3*q + 876 - 198 = 0. Let m = c - -224. Solve 5*p + 30 - 5 = m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -220012021212021?\nAnswer: 220012021212002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2607 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4254186 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - ((-7 - -3) + 59 + -40)) + 43?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 65323 - 65278 - 5*d + 5*d + 4*d as c*d + s and give s.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -35*o**4\/12 + 1324*o. Let k(t) = -6*t - 7. Give k(r(p)).\nAnswer: 210*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 38*d**2 - 1. List the prime factors of p(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/4)\/(7\/(504\/30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 706 + 386. Let b = -16426\/15 + k. What is the common denominator of 73\/3 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i**2 + 5*i**2 + 18*i - 2 + 47 - 2*i**2 - i**2. Let r be q(11). Let j(t) = t**2 + 2. Let x be j(0). Solve 4 = -x*b - 4*p, -4*p + r - 5 = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103 + -3?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185942?\nAnswer: 2, 239, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2304 - -2228. Are -62 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*p**2 + 256729846*p + 256729845*p - 28*p**2 - 513459691*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.05.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12274 + 1807. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138\/(-92)*-1*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/5 - 6*u**3\/5 - 8*u**2\/5 - 3*u\/5.\nAnswer: u*(u - 3)*(u + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 e, and 2 w when four letters picked without replacement from {q: 1, e: 1, b: 1, w: 2, c: 1, o: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 606*q**5 - 129*q**5 + 737*q**5 + (2 + 3*q**2 - 2)*(-3*q - 2*q**3 + 3*q).\nAnswer: 1208*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5 = 4*j + w, 2*w = -3*j. Suppose -q**5 - 10*q**4 + 4*q**3 + 7*q**5 + q**2 - q**j = 0. Calculate q.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t - 6. Give k(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -152.94 + 146. Let p = -4 - -11. Let o = p + z. Which is the smallest value? (a) -2\/7 (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335081.64 rounded to the nearest 1000?\nAnswer: 335000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 209 + -209. What is the nearest to h in 8, 0, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1883 > -1871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q. Suppose -4 = -5*l - 2*n, -l + 5*l - 2*n - 14 = 0. Let v(p) = -2*p**2 - 7*p**l - 2*p**2. Give v(s(m)).\nAnswer: -44*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-98)\/441 + (41\/(-63))\/(-1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 25905510.\nAnswer: -25905511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-125 - (-16 - 7 - (-8 + -32))) + 15?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x**2 + x - 1. Calculate the lowest common multiple of j(1) and 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2012.4336 * -0.1.\nAnswer: -201.24336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -110202022?\nAnswer: 110202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pccpcccppcppcppp. What is prob of sequence ppp?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 963 - 627 = 26*l - 42*l for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -0.0374\nAnswer: -14.9626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41835 is divided by 5831?\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -61*(-2)\/(2\/11). Solve -k = -10*t - 641 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25200.7 and -28.5.\nAnswer: 718219.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 12*i = 0. Solve i = 2*c + 1 - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/5, -5\/557 in descending order.\nAnswer: 2, -5\/557, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 979*a**2 + 4388 - 3134*a**2 - 4387 to c + y*a**2 + o*a and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (42 + 5 + 12 + -25)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n - 2*n + 3*n + (-5*n + 2*n + 4*n)*((-6 + 0 + 4)*(-3 + 4 + 1) + 0 - 3 + 2).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*l = v + 61*l - 742, -12*v - 38 = -17*v - 3*l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.798 - -4.726. Put 0.03, -1.1, i in descending order.\nAnswer: 0.03, i, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i**2 - 3*i - 6. Let d be w(-4). Let o = -27 - d. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 29, -0.3.\nAnswer: -0.3, 1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/(s**1*s))))\/s**(3\/2)*(s\/s**(1\/2))**(-2\/3)*(s\/(s*s\/s**(-1\/13))*s\/(((s\/(s*s**0))\/s)\/s))**(-3\/7) assuming s is positive.\nAnswer: s**(-1997\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 5*v**2\/2 + v + 2. Let b be 4 - (0 + 1) - 2. What is the units digit of g(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -20. Let m = 38 - v. Let s(b) = -17*b**3 - 1. What is the remainder when m is divided by s(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400\/25 - 13 - 1\/((-9)\/(-12)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -326.08 - -337. Let z = -1.3 + h. Round z to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of (-1)\/3 + 12\/(288\/18248)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 - -2 - (-71 + 3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 12 = 4*z. Let b(w) = -w**3 + 4*w**2 - w - 2. Let p be b(z). Suppose -p*r + 125 = r. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/3010 and -21\/20?\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29.2 - 26. Let u = d - 3. Let k = u + -0.199. What is k rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**4\/6 + 5*z. Let c(n) = 8*n**2 + 6*n. Let f(u) = -u**2 - u. Let b(w) = c(w) + 6*f(w). What is q(b(v))?\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -7*v**6\/120 - 2*v**5\/15 + v**4\/3 + 19*v**3\/6 - 52*v**2. What are the prime factors of k(-4)?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3464 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*o + 4522 - 10891 - 7131 = 0 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 957\/133 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 5*k = -s - 7, s = 4*k + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 28*b + 134. Let n be j(-32). Solve -4*f + 17 = 3*w, n*f - 5*f - 17 = -5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 67*r - 68*r + 12*r in the form j + o*r and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(192) + sqrt(192)*1 - sqrt(192)) - (5*(-4 + -4*sqrt(3)))**2.\nAnswer: -1600 - 848*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 21.6, -37\/102, 0.6, 0, -4 in decreasing order.\nAnswer: 21.6, 0.6, 0, -37\/102, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 21*f**2 - 8*f - 5. Let r be q(6). Let i = 710 - r. Let j(s) = 4*s - 9. Calculate the least common multiple of i and j(6).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.07 <= 2\/385865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 158616 divided by -158616?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 15, 3*j - 7 = -5*m + 11. Suppose -j = f - 17. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 3*r - 15. Let v be 1 + 1 + (-200)\/105. Let j = 0.05 - 0.45. Put v, j, r in descending order.\nAnswer: v, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*f = 14, -3*t - 3*f + 1 = -8. Suppose -c = -t - 12. Calculate the remainder when 24 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183329.\nAnswer: 183329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {d: 5, s: 5, w: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1280\/17088*23313\/(-76) - -23?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**6\/180 - 23*q**5\/90 - 143*q**4\/36 - 121*q**3\/9 - 40*q**2 + q. Factor i(u).\nAnswer: -2*(u + 1)*(u + 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4689, -4681, -4659, -4617, -4549, -4449, -4311?\n\"Answer: x**3 + x**2 - 2*x - 4689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((28*1)\/2)\/((-48)\/36960*-154)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*t = 165*t - 33950. Calculate the highest common factor of 1067 and t.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1242 and 49\/22.\nAnswer: 13662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 701.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2100943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 292a + -4680?\nAnswer: -1952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.135 - -69.865. Suppose 6*n + 31 = 25. Which is greater: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42991371 by 14330457.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.39 + 19. Let n = o - -0.01. Let h = 0.58 + n. Which is the closest to 1? (a) -5 (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.05 = 3.852104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 51*f - 1629. Let b be s(32). Let r be (-14)\/(-2)*3\/7. Suppose -1 + r = t. Solve b*z - t = 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 693*z**3 - 1389*z**3 + 1 + 689*z**3. Give s(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - -1. Calculate the remainder when ((-73)\/2)\/((-6)\/12) is divided by r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - u**2 - 7*u - 3. Let y be x(-3). What is the smallest common multiple of 74 and (-1*2)\/(y\/72)?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -410000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3120 = -3*a - 2*h - 3098, 22 = -3*a + 2*h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5*l = -24, -y + 0*y + 3*l = -6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 2*d - 6. Let j = -41 + 45. Let g be o(j). Sort 3\/4, 2\/9, 0.5, g in descending order.\nAnswer: g, 3\/4, 0.5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/70)\/(2\/(-1 - 19)). Let k be (1\/6)\/((-1)\/u*1). Is -1\/6 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcc when three letters picked without replacement from qqqyuyuuqcuquqcqcwyq?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 - -209.68069993117?\nAnswer: 207.78069993117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.006136091 + -0.00611. What is w rounded to 6 dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nineteen quarters of a day?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 40 = -4*o, -3*o + 6 - 21 = 0. Suppose 7*p = a*p + 58. Let j be 4\/(-20) - p\/5. Is j at most as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62673 is divided by 146.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -3*r - 3*v + 2*v, -4*r + 4*v + 180 = 0. Suppose 3*f + r = 4*b + 5*f, -3*f + 6 = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26138 divided by -5296.\nAnswer: -13069\/2648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1780.382341 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.7 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1591*y**6 - 1281*y**2 wrt y?\nAnswer: -190920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18 and 0.168176126832.\nAnswer: 18.168176126832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142 + -119. Calculate the remainder when 43 is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 62 = -16*q. Find the second derivative of -q*r - 74*r**4 - 2*r**5 + 37*r**4 + 27 + 35*r**4 wrt r.\nAnswer: -40*r**3 - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2 - 8639332*b - 9329757175778 = 0. Calculate b.\nAnswer: -2159833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -825?\nAnswer: -835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 10*m - 24. Let u be y(10). Let b be (u\/15)\/((-8)\/20). Solve -2*g - b = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/64*(-7)\/3*(-24)\/42.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3205892.\nAnswer: 2, 29, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.34 times 0.2?\nAnswer: 0.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1918 and 216734.\nAnswer: 216734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4\/(a\/(a\/a**(-7))*a))**50)**(-2\/9) assuming a is positive.\nAnswer: a**(-1000\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -33295 and -65?\nAnswer: 33230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504554686 is divided by 1634?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -33de6 (base 15) to base 8\nAnswer: -502425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*h**3*l**2 - h**3 + 36*h - 15*l**2 wrt l.\nAnswer: 14*h**3*l - 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(6\/5))\/x)\/(x*x\/x**(-2)*x)*x*(x**(-1\/10)*x)\/x*x\/(x*x**(-8)))\/((x**2)**2\/((x*x*x**(1\/13))\/(x**9*x))) assuming x is positive.\nAnswer: x**(-757\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -1808.3?\nAnswer: 1808.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnn when three letters picked without replacement from {n: 14, p: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 1\/3, -0.4, -1\/3867?\nAnswer: -1\/3867","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 1 + 1 - 4*a - 3*a + 5*a + (0 + 4 - 2)*(1 - 1 - 4*a) + 0*a + 0*a + 2*a)*(3 - 6 + 2) + (-2 - 2 + 0)*(-2*a + 22*a - 6*a).\nAnswer: -47*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -1 - (-1 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = 10. Suppose -5*o = -g*o + 5*z - 37, 12 = -4*z. Is o less than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 13. Solve -u*r + 2 - 10 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4444 (base 10) in base 15?\nAnswer: -14b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 307453216 and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 23*k = 76. Suppose -34 = -k*z + 2*z. Factor 6\/7 + 2\/7*b**4 - 8\/7*b**z - 4\/7*b + 4\/7*b**3.\nAnswer: 2*(b - 1)**2*(b + 1)*(b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyyqqqycyyqqqyqqqq. What is prob of sequence qyqc?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**5\/9 - 19*o**4\/3 + 619*o**3\/9 + 1391*o**2\/3 - 9980*o\/9 + 1748\/3 = 0.\nAnswer: -6, 1, 23, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 - -84. Let r = q + -32. Let v = 0.2 + -0.3. What is the second smallest value in 1\/3, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 323988.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15084, 30356, 45624, 60888, 76148, 91404, 106656?\n\"Answer: -2*j**2 + 15278*j - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5993\/7 + 854. What is the common denominator of 2\/8 - 19*-1 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 4*b + 6. Let m be n(2). Calculate the remainder when m\/6 + (-58)\/(-6) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/15? (a) -1 (b) -2\/961 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -11 - (3 + -6)) + -6 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -56. Let o(p) be the third derivative of -p**6\/120 - p**5\/5 + 5*p**4\/4 + 5*p**3\/6 - 5*p**2 + 4. Is o(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/30 + 42\/10. Solve o - 3*d + 0 = 1, b*o = 2*d + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 25, 4*x - 5*h = 2*x - 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*m**2 - 48*m**2 + 47*m**2)*(0*m + 3*m - 2*m)*(2*m - 2*m + 2*m).\nAnswer: 48*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + -21 + 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 8:33 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 444, 905, 1448, 2115, 2948, 3989, 5280, 6863?\nAnswer: 8780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6*-6)\/(694\/(-1388)*(-6)\/(-46))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q. Let z(b) = b**2 - 4*b. Let f(g) = 4*k(g) - z(g). Let p(y) = -y + 3. Let j(l) = 2*l - 2. Let s(x) = 3*j(x) + 2*p(x). What is s(f(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 1:30 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -508 by 127.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -21188*h + 446. What is the tens digit of m(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 10:57 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 871*q + 688*q - 6)*(-4 + 1 + 4)*(3 - 2 + 2).\nAnswer: -549*q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -537*w - 3085. What is the remainder when 260 is divided by q(-6)?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -13. Solve -15 = -3*a, 2*n + 0*n - g*a = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46, -0.1, 2\/9, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrmrrrmrrr. Give prob of sequence rmm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-26)\/78)\/(9\/(-1215)). Solve 40 = -5*m + 3*s, -g*m + s = -48*m - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/15 (b) 0.961 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 504 and 31466034.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -744*d**3 - 30*d**4 - 35*d**4 - 6*d**2 - 87*d**4 + 153*d**4 as k*d**3 + f*d + p*d**4 + m + x*d**2 and give k.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l. Let j(s) = -36949*s. Give u(j(v)).\nAnswer: -184745*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*g + 20106176 - 20109704 = 0 for g.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -272*z + 4396. Calculate k(15).\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -782, -785, -790, -797, -806?\nAnswer: -817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 4:03 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyy when three letters picked without replacement from uhuuyuuuuuuyh?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/5*30\/(-12). Let f(r) = r**3 - 8*r**2 + 4. Calculate f(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161845 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 -1.0765 minus 0.28?\nAnswer: -1.3565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03989 from -16.\nAnswer: -15.96011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2073, 8455, 19091, 33981, 53125, 76523?\nAnswer: 104175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/7 and 32\/19.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 + 111\/10. Let d be (-18)\/15*60\/(-9). Let s = d - w. Calculate the common denominator of s and 91\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**4 - 48*k**3 - 60*k**2 + 104*k = 0 for k.\nAnswer: -2, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**4 + 2*g**2 - 2*g**2 + 0*g**2 - 2*g**4 + 0*g**2 - 2*g**4 - 3*g**2 + 3*g**2 - 4*g - 2*g**4 + 4*g + (-g - 1 + 1)*(3*g**2 - 3*g**2 + g**3).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, n: 4, l: 5, d: 4, s: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -99*v**2 + 2*v**3 - 3*v + 102*v**2 + 3 - 3*v**4 - 8*v**4 + 0 - 2*v**4 in the form n*v**4 + z*v**2 + g + p*v**3 + d*v and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1012047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - s + 4. Let d be k(0). Suppose 0*f = 2*x - 4*f + 8, d*f = 12. Suppose 0 = -3*v + 13 + x. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.2 or -6\/35?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.088, 2\/9, 1, 5, -23?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-10) + 4\/10*6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283603 is divided by 641618.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -2 - (-45)\/21. Let k = j + 32\/21. Suppose -2\/3*y**2 + 0*y + 0 + 2\/3*y**3 - k*y**5 + 2\/3*y**4 = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 times -21052914\nAnswer: -210529140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009803 rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-70))\/(1605\/(-24075))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2494*n + 2493*n - 4994*n. Let y(q) = -1. Give -s(b) - y(b).\nAnswer: 7*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/1 - -2 - 152\/40. Let m = -1.03 + 1.1. Let z = m - -0.03. What is the third smallest value in i, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -1 - f**2 + 1\/4*f**4 - 1\/120*f**6 + 0*f - 1\/15*f**5 + 1\/2*f**3. Let g = -7 + 2. Give m(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g + 31. Calculate p(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4) - (-2674)\/(-28). Let g = j + 30. Let s = -10 - g. List the prime factors of s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -637 - -287. Let c = s + 603. Let i = c - 253.0299. What is i rounded to 3 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(z**(-3\/8)*z)\/z*z**0*(z\/z**5*z)\/z*z**(-2\/9)*z assuming z is positive.\nAnswer: z**(-187\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-3)*823\/(-32920)?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2680*u + 2*u**2 + 1323*u - 1 - 546*u as x*u + b + z*u**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129328, -258607, -387798, -516901?\nAnswer: -645916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 83950088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8450356 divided by 1\nAnswer: 8450356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 23230422.\nAnswer: 116152110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**1)**(5\/2)\/(q\/(q\/q**(-1\/5))*q**(3\/4)))**(-37) assuming q is positive.\nAnswer: q**(-1443\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 5:21 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.0294605\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(2 + -4 + 3). Suppose 9 = -2*t - t, y*x + 3*t - 3 = 0. Put -3, x, 1 in ascending order.\nAnswer: -3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0374 minus 1343599?\nAnswer: -1343602.0374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*12*(-8)\/(-96))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (7 + (-610)\/90 + (-9830)\/(-666))?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -1100*s + 24770. Determine r(22).\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 1198 = 14*m. Suppose m*k + 1290 = 89*k. List the prime factors of k.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**2\/2 + j + 322. Let v(i) = 15*i - 10. Give -v(z) - 10*y(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**5 - 54068*s**4 + 270252*s**3 - 162108*s**2 - 486432*s = 0. What is s?\nAnswer: -1, 0, 3, 13512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 3921955995?\nAnswer: -3921955994.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -229 by -233788.\nAnswer: 229\/233788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76981213*z**2 + 144849165*z wrt z?\nAnswer: 153962426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 497825299?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22795165 and 5420.\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (11 - 15 - 19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -80581 and -2.\nAnswer: -80583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1209.3?\nAnswer: -1209.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -33\/5 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 39, 5\/2, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*j**3*m**2 + 229*j**3 - 719*j*m**3 + 2*m**2 + 30*m wrt m?\nAnswer: 42*j**3 - 4314*j*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/20)\/(147\/70)*(-21)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -13327635 > -13327633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*j + j. Suppose 2 = -4*a + j*f, -7 = -3*a - 2*f + 3. Differentiate -7*q**a + 3 + 13*q**2 - 4 wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3\/7 - 1200*p**2\/7 - 1243*p\/7 + 7206 = 0. Calculate p.\nAnswer: -7, 6, 1201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85621, -171244, -256867, -342490, -428113?\nAnswer: -513736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 10:14 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 7791226996.\nAnswer: -7791226995.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565*n = 2*f - 560*n + 41, 2*n + 17 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o**3 - 2*o**2 - 2*o - 2. Let i be ((-48)\/(-15))\/8 + (-57)\/5. Let x(f) = 25*f**3 + 11*f**2 + 11*f + 11. What is i*w(b) - 2*x(b)?\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78 + 17. Suppose 253 = -84*g + x*g. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -92513 and -0.2886.\nAnswer: 26699.2518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-24))\/(101\/(-303)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -1. Let p = -6.99999997 + r. Round p to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = -13*p + 36*p - 3431461. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47726 or 47727?\nAnswer: 47726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.17 + 0.13. Sort -1\/3, -0.2, i in increasing order.\nAnswer: -1\/3, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o + 0*o**3 + 3*o + 10 - 2*o**2 - o**3 - 1. List the prime factors of a(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2. Let o(g) = -3*g**2 - 9*g**2 + 7*g**2. Determine o(q(z)).\nAnswer: -5*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 969434 and 346?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -11*x + 9*x + 4*x + 2*x**2 - 2. Let f(b) = 3*b**2 + 4*b - 3. Calculate -3*f(r) + 5*t(r).\nAnswer: r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11161 (base 11) to base 5.\nAnswer: -1004120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 32*r + 21 = 29*r, 19 = -3*y - 5*r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -468512425 greater than -468512428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 23*f - 10. Let t be k(12). Suppose -5*c = 2*d - 44, -2*d + 0*c = -t*c - 16. Suppose z - 143 = -d*z. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 93 = -117. Let u = 0.2 + 0. Which is the second smallest value? (a) u (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: c (base 15) to base 14\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 3*y + y = -8, -o + 12 = -4*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*u + 22 = 109*u - 3*m, -u + 18 = -5*m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -815? (a) -1\/2 (b) -11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27.13572 kilometers?\nAnswer: 27135720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1371182 + 1?\nAnswer: -1371181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-2) - (-3)\/6. Let s = -2 - b. What is the units digit of s - ((-1 - 3) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1737*j + 33. Is g(-1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**5\/3 - 6*u**4 + 16*u**3\/3 + 28*u**2\/3 - 4*u - 10\/3 = 0 for u.\nAnswer: -5, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.150884 and 0.08.\nAnswer: 0.17207072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*l - 238 = -731, 0 = -2*d - 4*l + 986. Let x = 711 - d. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170)*1*-4 - sqrt(170)) - sqrt(170))\/sqrt(10).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*j = 3*x - 201, 5*x - 258 = -4*j. Determine z, given that -38*z**3 + 22*z**4 - x - 53 - 2*z**5 + 18*z**2 + 107 = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 2*r. Let d be t(5). Suppose 452*w + 510 = 486*w. What is the hundreds digit of (2 - -1 - d\/w)*345?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 5*z**4\/12 - z**3\/6 + z**2 - 18*z. Let p(y) = -4*y**2 + y - 2. Give -7*p(i) - 6*s(i).\nAnswer: -2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**4 + r**3 + 111 - 112 - 6*r**4 in the form i*r**3 + d + h*r + v*r**2 + y*r**4 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -70*k**3 - 5*k**2 + 5*k + 11. Is s(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2210*i - 1 + 793*i - 2983*i.\nAnswer: 20*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 141 (b) 0 (c) 7.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1684\/15 or -112?\nAnswer: -1684\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-34)\/n**(-8\/9))\/(n*n**(23\/4)*n*n*n)**(-33) assuming n is positive.\nAnswer: n**(10391\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12249?\nAnswer: -12249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(270)\/sqrt(6)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 639 + -639. Factor c - 9\/2*s**3 - 3\/2*s - 9\/2*s**2 - 3\/2*s**4.\nAnswer: -3*s*(s + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -238*z**2 + z. Let j be t(-1). Let w = 1909\/8 + j. Let v be 8\/70*5\/2. Sort v, w, -5 in ascending order.\nAnswer: -5, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3*q - 20. Let m = -4 + 22. Let c be (-3)\/m*2*0. Solve q*x - 3*n + 2*n - 15 = c, 2*x - 6 = -3*n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*i**2 - 5 + 4 - 202 - 18*i**2 + 11 to the form s*i**2 + j*i + c and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -181*w + 293. What is the tens digit of r(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + b**4 + b**4 + 2)*(-1 - 1 - 8).\nAnswer: -20*b**4 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8736 is divided by 57.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 19. Suppose z*w - 6 = w. Solve -3*b - w*h = 8, 3*b + 9 = -h - 2*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cggc when four letters picked without replacement from {g: 2, c: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 43. Let i be -62*(-6)\/(-27) + 2\/z. Let l = 10 + i. Put -6, l, 2 in ascending order.\nAnswer: -6, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/2688 and 9\/387296?\nAnswer: 4647552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 1120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 6*u = q + 9, 974*u = 969*u + 27*q + 21*q - 159 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -482, -877, -1272, -1667?\n\"Answer: -395*f - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 231476682 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: Calculate (4\/56)\/((-3)\/(-2))*-9.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/(-20) + 127\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*g + 3. Suppose p = g*p - 96. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w**3 - 878*w**2 + 772*w + 86 = 0. What is w?\nAnswer: -1\/10, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -1, -252\/5, 0.2, -0.3 in decreasing order.\nAnswer: 0.2, -0.06, -0.3, -1, -252\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s**3 - 3*s**2 + 6*s. Let c be k(5). Let o = 2501 + c. Suppose 5*m - 3*h - 1930 = 0, 7*m - 3*m = -5*h + o. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 209 + -205. Which is the third smallest value? (a) 0.4 (b) -0.9 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31553 (base 7) to base 8\nAnswer: 17225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/40 and 37\/8840?\nAnswer: 8840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3294791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.71 - 32.1856. Let s = j + -0.52. What is s rounded to 4 decimal places?\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*m**2 - 58*m**2 - m + 33*m**2 + 8*m.\nAnswer: -m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5598 - 5592. Let v(u) be the third derivative of 0*u**7 + 1\/112*u**8 + 0 - 1\/8*u**w + 5*u**2 + 0*u**5 + 0*u + 1\/2*u**4 + 0*u**3. Solve v(a) = 0 for a.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 0.1, -108, -5.\nAnswer: -108, -5, -3, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 4*h = 5*u + 30, 0 = -h - 3*u - 18 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttataata. What is prob of sequence attt?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2622)\/(-3059) - (-88)\/(-21))*(0 - 2746500). What is m rounded to the nearest 100000?\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120039937 to the power of 1\/3, to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.72 - -24. What is o rounded to 1 decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - s - 1. Let i(q) = -6*q**3 - q - 3. What is -i(w) + z(w)?\nAnswer: 5*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194\/8 - (-15)\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-3))\/(130\/(-351195)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 4*v**2 - 43*v + 196. What is t(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 78239104 times -5\nAnswer: -391195520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.5 or 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m**2 - 91*m + 8. Let l be x(-10). Solve -27 + 117 = -l*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 147328.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2789\/9 - -311. Find the common denominator of 13\/9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmnfnnnlvmfvnms. Give prob of sequence msf.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 832\/(-19 + 45) - -15.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w. Suppose -10*n = -5*n - 10. Let d(l) = l - 1039 + n*l - l + 1032. Calculate d(t(i)).\nAnswer: 4*i - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 132\/61 - 1594\/793. Let t = -8 - -5. What is the smallest value in -2\/15, t, 4\/3, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 281765517.\nAnswer: 281765519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + 1 + -3 + -4.\nAnswer: -6 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 131031749 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -22*12\/20 - 4\/5. Let d be 6\/21 + (-80)\/l. Suppose -7 - 5 = -d*z. Sort z, -2, -5.\nAnswer: -5, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -8*b + 18. Let x be q(-6). Let d = -62 + x. Factor -32*p - 2*p**d - 48*p**2 - 18*p**3 - 8*p**2 + 8*p**2.\nAnswer: -2*p*(p + 1)*(p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -808.1 rounded to the nearest 10?\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-nine fifths of a gram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 5)\/((-1)\/(-4)). Suppose -u = -5*g + 178, -g + n*g = u + 106. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 12) to base 2.\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**3 - 168*r**2 = 0.\nAnswer: 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3389910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/2)*g)\/g*g*g*g\/(g\/g**(6\/5))*g)**(6\/5) assuming g is positive.\nAnswer: g**(171\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5))**19\/((r\/(r\/r**(-2)))\/r)**33)\/((r*(r*r**(-5))\/r*r**2)\/((r*r**(-3)*r)\/(r*r**(-7)*r))) assuming r is positive.\nAnswer: r**(563\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120 + 2443053?\nAnswer: 2442633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*j**3 - 3*j**2 + 3*j**2 + (2 - 4 + 1)*(-6*j - 5 + 5)*(2 + 2*j**2 - 2) in the form a*j + u + q*j**2 + k*j**3 and give k.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*y + 35*y + 20*y - 16. Solve y*g + 5 = 11*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 270\/180*(-2 + 1 - -3). Let w(k) = -2*k**3 - 3*k**2 + k - 3. Let z(u) = 4*u**3 + 5*u**2 - 2*u + 5. What is b*z(t) + 5*w(t)?\nAnswer: 2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12370000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3960\/1540 + 1479\/21.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010010100 + 1001?\nAnswer: 111010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, 0.13, 0.35, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 21197*l - 21197*l - 4*l**2. Let r(g) be the first derivative of -4*g**3 - 2. Give o(r(c)).\nAnswer: -576*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3886416 divided by 9456.\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 191562655 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -1\/6, -0.2, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051856279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 8 + 7. Suppose 0 = -g*b + 5*b - 4*u - 88, -5*u = 2*b - 133. What is the highest common divisor of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1025*q**3 - 9*q**2 + 34?\nAnswer: -6150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**5\/7 + 179*h**4 + 66408*h**3\/7 - 1577144*h**2\/7 - 995888*h\/7 + 646416\/7 = 0. What is h?\nAnswer: -134, -1, 2\/5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43735.874 + -43686. Let m = -0.126 - r. Let c = -49.68 - m. Is 0 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89510 * 256.\nAnswer: -22914560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -21937, -1\/4, 1954 in descending order.\nAnswer: 1954, -1\/4, -21937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 942*h - 6233 = -3407 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 423 divide 166101525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 149971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -8. Let z = l - 6. What is the nearest to -1\/2 in 1\/4, -0.4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + (5 - 0 - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18228616 divided by 1\nAnswer: -18228616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14592 divided by -2432?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 558297196, 558297194, 558297192, 558297190, 558297188, 558297186?\nAnswer: 558297184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -4) + -14 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*c**5 + 4*c**2 - 12*c**2 + c**5 - 2*c**5 wrt c?\nAnswer: 480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 26*m**3 + 2*m + 3 - 22*m**3 + 2*m**2 + 0*m. Let r(v) = 17*v**3 + 9*v**2 + 9*v + 13. Let y(k) = 4*r(k) - 18*s(k). Differentiate y(f) wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 + 178 + i**2 - 176 + 8*i - 8*i**4 to x*i**3 + z + t*i + l*i**2 + a*i**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 18 = -2*g, -10*g + 14*g = -5*k - 24. What is the nearest to 4 in -5\/7, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*v = -7*q + 16, -4*q - 4*v = -12. Suppose -4*s = -3*n + 46, -2*n + 0*n - q*s = 0. Let z = 91 - n. Is z a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*a + 18 = 220*a + 4*x, -4*a - 11 = -x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 5:11 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43578 and 1137601?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25087 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3019*o**2*q + 57*o**2 - 1482*o wrt q.\nAnswer: 3019*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - 56 - 31 - (-2 + -2 - (-2 - 4)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 564?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**2\/9 + 1205350*x\/9 - 26516732\/9 = 0.\nAnswer: 22, 602653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*y + 2)*(-3*y + 3*y + y**2 - 2)*(3 - 2 + 2)*(-7077 + 15684 - 7476) - 3*y**3 + 2*y**2 - 2*y**2 to the form s*y + j + k*y**2 + f*y**3 and give s.\nAnswer: 13572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cic when three letters picked without replacement from ccci?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -13*s**3 + 6*s**2 + 4*s - 16. Suppose -4*y = -5*z - 2*y - 23, 2*z = -2*y - 12. Is g(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/21*(-12)\/(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 440046 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 2*w**5\/15 + 25*w**4\/6 - 224*w**3\/9 + 116*w**2\/3 + 2062. Factor j(z).\nAnswer: 2*z*(z - 2)**2*(z + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**5\/2 - 8229*k**4 - 1354248*k**3 - 75311040*k**2 - 1400888832*k = 0 for k.\nAnswer: -5318, -56, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvddp. What is prob of picking 1 c and 2 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155 by -5.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4419398s in milliseconds?\nAnswer: 441.9398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2541 (base 6) in base 9?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/15540 and -83\/32634?\nAnswer: 326340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021364917 rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23\/45 + -4\/45. Let g = 5819\/100 + 139\/25. Let j = g - 64. What is the nearest to j in -0.5, z, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(65) + sqrt(65))\/(sqrt(5) + -1*sqrt(245)))**2 + -4.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (12\/2)\/(6\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(32\/3))\/(u\/u**(-1\/8)*u)*(u**(11\/2))**(-2\/25) assuming u is positive.\nAnswer: u**(-7339\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -2*r - 2*w - 32, 316*r - 315*r + w = -10 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h. Let r(s) = 398*s**2. Determine r(b(o)).\nAnswer: 398*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -55, -54, -53, -52, -51, -50?\n\"Answer: z - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13126989 by 6.\nAnswer: -4375663\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 4, 120 in decreasing order.\nAnswer: 120, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 14*p**2 + p + 16. Let m be i(-14). Suppose 0 = 5*n + 4*d - 14 + m, 4*d + 12 = n. What are the prime factors of (n - 1) + 21 + 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27370, -27367, -27360, -27349, -27334, -27315, -27292?\n\"Answer: 2*i**2 - 3*i - 27369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (4 - 13) + 9 + -9 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j - j)*(-1038*j + 53*j**2 + 1038*j) + 11*j**3 - 85*j**3 + 2*j + 39*j**3.\nAnswer: -88*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 56*w**2 + 105*w + 172. Let j be k(58). Let c = 468 + j. Let -1\/2*z**2 - c + 5\/2*z = 0. Calculate z.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19789 is divided by 96?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 6*u - 3 = 0, -3*u = 3*i - 4128. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18639361*p**5 + 29613351*p**2.\nAnswer: 1118361660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/5 + 22686*w**2 - 2496186*w\/5 + 13730354\/5.\nAnswer: 2*(w - 11)**2*(w + 56737)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**4 - s**3 + s**2. Let x(v) = -13*v**4 - 6*v**3 + 6*v**2 + 11*v. Let n(w) = -6*o(w) + x(w). What is the second derivative of n(h) wrt h?\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.8 - -847397?\nAnswer: 847500.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from {w: 7, r: 4, b: 1, m: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) -17 (c) -0.03 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*b**3\/4 + 112*b**2 - 3315*b\/4 - 225\/2.\nAnswer: -(b - 15)**2*(15*b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/5 - 1014*l\/5 + 8048\/5 = 0 for l.\nAnswer: 8, 1006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -1220?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 4*c - 1. Let p(f) = -7*f**3 - 4*f**2 + 51*f - 10. Give -9*d(s) + p(s).\nAnswer: 2*s**3 - 4*s**2 + 15*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 1. Let f = x + 2. Let p = -4\/29 + 94\/261. Which is the biggest value? (a) p (b) 3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 204 + -163 + -123?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000100011110 - -1111010011?\nAnswer: -100110101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2849248142 to the nearest integer?\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**4\/4 + 2*g**3 - g**2 + 6*g + 3. Let l be z(4). Calculate the highest common divisor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*b - 36*b - 45*b - 4 + 4.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 4*l**2 + 4*l**2 - 2*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (5280 - 5338) + (71 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 10 = -2*b, -3*u = -4*b - 30 + 10. Let h be 13 + u - (-1 - -3). Suppose 4*z = -4*l + 28, z = -5*l + 38 - h. Solve z*d - 6*d = -4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-28)\/(-63))\/(-4))\/(-1).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 5. Let j be u\/(-4) - (-28)\/(-8). Let v(k) = -3 - 4*k + 1 + 0. What is v(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -7*21\/(-343) - (480\/84)\/(-10). Factor 0 + 5\/3*o + 5*o**2 + 10\/3*o**a.\nAnswer: 5*o*(o + 1)*(2*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 1249*r**4\/24 - 14278*r**2. Let v(y) = 9*y. What is v(g(a))?\nAnswer: 11241*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**5\/60 - 2*q**3\/3 + 3*q**2 + 9*q. Give x(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -1. Let s(h) = h**3 - 4*h**2 - 17*h - 2. Let b be s(7). Let n be (-8)\/(-1) + -37 + b. Sort n, 5, i in descending order.\nAnswer: 5, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4039?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-23) - 1175120\/20424*132\/(-55).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76304 - 76346.79875. Let m = -43 - t. Let k = m - -0.2. Round k to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 2*p + 8 = 8*a, -16 = 4*a + p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-220)\/(-12))\/(-5) - -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-1 - -1 - 1). Let r = -19 - -14. What is the nearest to -0.2 in a, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 116 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 13. Suppose 0 = 3*k + 3*r + 4 + 5, -5*k + r + 3 = 0. Solve t*d - 4 + 1 = k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + 34242?\nAnswer: 3424d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000010 + -110?\nAnswer: -11001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 6:29 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 19 = -51. Let f(p) be the first derivative of 2*p**3\/3 - p**2 - 658. Let v be f(s). Calculate the highest common divisor of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 78 - 30 + 2*a**2.\nAnswer: 2*a**2 - 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/5)\/((-11)\/(-1)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -5*r - 4*t, -2*t + 2 = 2*r. Suppose r*i = -i. Suppose i = -5*l + 27 - 2. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115 - -111. Let b(s) = 2*s - 1. Let c(t) = t - 1. Let l(p) = -6*b(p) + 10*c(p). Calculate l(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 = 0, -28 = -4*l + 6*x - 2*x. Suppose 0 = -2*j + l*j - 348. Calculate the remainder when j is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k + 28*k = -29*k + 80 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3118*v + 4*f + 8 = 3114*v, 2*f = -v - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 59*n - 23*n + 5*n**2 - 14*n + 1 - 20*n. Let f = 2 - 3. Let t be h(f). Solve -4*j - 5*x + t = 31, x = -2*j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1815 + 70 = 3*o, 2*o - 428 = -z. Suppose -3*b + z + 2063 = 5*t, b - 999 = -2*t. What is t rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*f + 1052 - 1052 - f + 3*f - f + (4 - 5 + 0)*(-2*f + f - f) - 4*f + 4*f + 2*f - 4 + 4 + 2*f)*(4*f - 2*f - 5*f).\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*d**2 + 4 + (-2*d - 5 + 5)*(d - 4*d + 4*d) + 0 + d**2 - 9 + 5*d + d**2.\nAnswer: -2*d**2 + 5*d - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 1810*t**2 + 75360*t.\nAnswer: 5*t*(t - 314)*(t - 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3\/9)\/(-14 + 3 + (-6019)\/(-546))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 take away 0.0745?\nAnswer: -0.3845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*s - 13728 = 302*s + 10*s for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/131906 and -73\/400869.\nAnswer: 523534914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9*(1 + 0 + -2). Let j be 2 - -2 - (9 + p). What is the second derivative of j*d - 7*d - 4*d**4 + 15*d wrt d?\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iws when three letters picked without replacement from kxukkwwwkwwkisw?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from xifsn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 523 divided by -523.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.34651 rounded to 1 dp?\nAnswer: -12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58298, -116615, -174958, -233339, -291770, -350263?\nAnswer: -408830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = 9*u + 12. Suppose -2*m = u*p - 4318, -2*m + 2*p + 2147 = -m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -327 - -330. Suppose 13*r - 8*r = d + t, 0 = 4*d + 12. Which is the smallest value? (a) 0.3 (b) -32 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 34305 + -12?\nAnswer: 34253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7904*b + 3861*b + 4009*b.\nAnswer: -34*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20, 21, 14, -7, -48?\n\"Answer: -p**3 + 2*p**2 + 2*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(42) - -4*sqrt(168)\/sqrt(4))*1)\/(-1*sqrt(864)*5))**2.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.153203509 to four decimal places.\nAnswer: 1.1532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7745 + -7683. Solve -8*z + n = 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1142779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 944 divided by -44.\nAnswer: -236\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936677256?\nAnswer: 2, 3, 43, 929, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 187 - 178. Sort 0, m, -1, -5.\nAnswer: -5, -1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 376, 446, 552, 694, 872?\n\"Answer: 18*s**2 + 16*s + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9960 divided by -12\nAnswer: -830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 4, 0.1, -59?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 7:46 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3168, 4, -20, 0, 2 in decreasing order.\nAnswer: 4, 2, 0, -2, -20, -3168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 233*r**3 + 152*r**2 + 97*r**2 - 226*r**3 to the form i*r**2 + v + f*r**3 + o*r and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q + 37*q - 24*q + 100*q.\nAnswer: 127*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (13*76\/1235)\/((-2)\/(-4))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 - 0.12. Let i = -2.1 + 2. Let k = 0.2 + i. What is the third smallest value in u, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 - 4*h**2 + 2*h**2)*(-3*h**3 + 5*h**3 - 3*h**3) + 4*h**5 - 4*h**5 + 23*h**5.\nAnswer: 21*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -18) + (2 - -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423*h - 436*h + 150053657 = -248*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, 3, -990232 in ascending order.\nAnswer: -990232, -74, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**3))\/(b*b**2\/b))\/((b*b**(2\/9)\/b)\/b**0)*b**4\/(((b**5*b*b)\/b)\/b)*(b*(b*b**(3\/4))\/b*b)\/(b\/b**(-2\/7)) assuming b is positive.\nAnswer: b**(-1199\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 136, -5, -4, -3, -146 in decreasing order.\nAnswer: 136, 8, -3, -4, -5, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 r when four letters picked without replacement from yrrrzrrrrrzrrr.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41360?\nAnswer: 2, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z - 15. Let a be j(-5). Suppose 56 = 7*g - a*g. What are the prime factors of 14\/g*(37 - 1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/3612 and -89\/6020?\nAnswer: 18060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27330*f - 209 = -27449*f - 2470 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.11 + -19. Let l = 0.1 - 0.2. Which is bigger: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**4*j**(-7)*j)\/(j**(-3\/7)*j**(-7)) assuming j is positive.\nAnswer: j**(-11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5673 or -39702\/7?\nAnswer: -39702\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -702*w + 1134?\nAnswer: -702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91260 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234015927?\nAnswer: 3, 83, 939823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -270530 and 11.\nAnswer: -2975830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9971190 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 2. Let x be s(-5). Solve 2*b - x - 3 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/20*(-69)\/(23598\/76)*4\/(-210)\nAnswer: -2\/225","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 - h**3 + h - 4*h**3 - 3*h + 3*h + h**3 + (3*h**2 - h**2 + 0*h**2)*(-h + 2*h + 0*h).\nAnswer: -6*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + g + 4. Let m be z(0). Suppose -2*j = j - 15. Find the second derivative of q**j - q + 7*q - m*q wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 15 - 27*x**2 + 49*x + x**3 - 18 + 0*x + 29. Let q be d(25). List the prime factors of 5\/1*(0\/5 + q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655596?\nAnswer: 2, 3, 18211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 14*f**6\/3 + 4*f**5\/5 - 7*f**4 - 4*f**3\/3 - 1401. Suppose q(r) = 0. Calculate r.\nAnswer: -1, -1\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**2\/2 - 333580044*l + 18545940959173656 = 0.\nAnswer: 111193348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 236 + -6371\/27. Let u = -23\/108 - j. Which is the nearest to -1? (a) u (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51278*p**4 + 225760.\nAnswer: -205112*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 2*y + 164. Solve 0 = -u - 13 + y for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-81)*27\/30.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-36) + 10\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*7\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - -6) + 5\/(-5) + 398. Which is bigger: 400 or r?\nAnswer: 400","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230823.\nAnswer: 3, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 23 = -2*j, 5*j + 150*n - 55 = 145*n for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(171))**2 - (4 + ((sqrt(19) + -2)**2 + sqrt(19) - sqrt(19))).\nAnswer: 4*sqrt(19) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -83 - 61. What is the units digit of (-1487)\/(-4) - 9\/(f\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(72)\/(sqrt(8)*4 + sqrt(8)) - sqrt(9)))**2.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o - 12. Let h be q(9). Let l = -11 + h. What is the lowest common multiple of 3 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 6*j**2 + 5*j + 17. Let h be m(7). Let p(u) be the first derivative of 8\/7*u - 1\/7*u**4 - 8\/21*u**3 + h + 2\/7*u**2. Find g such that p(g) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**2 + 129*g - 28. Let u be j(32). Suppose 0 = -4*w + w. Solve -24 = u*q + 4*z, w*q - 14 = 3*q - z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8396100.\nAnswer: 2, 3, 5, 19, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 5*f**3\/3 - 12*f + 15. What is the derivative of v(d) wrt d?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2883129 is divided by 84797.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -202.799996418 - -202.8. Round i to seven dps.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1514771.\nAnswer: 227, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -48*n**3 + n**2 + n - 2. Let u be q(1). Let t = u - -131. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111101011010 + -111?\nAnswer: -11111101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6255 + 1?\nAnswer: -6254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 4 + 0*f**5 + 0*f - 2*f**2 + 0*f**4 - 5\/6*f**6 + 0*f**3. Find the second derivative of c(b) wrt b.\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b = 31*b. Solve 3*f = -6, -3*o + o + 3*f + 6 = b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1231026530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 3. Let m be ((-1)\/(-4))\/(-5 - (-133)\/28). Let u be (m\/(-2))\/((-8)\/64). What is t(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3 = 9. Suppose 4*c - 7*c + 18 = p, -a*p - c + 17 = 0. Let r(m) = -2*m + 2. Give r(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**6\/120 + q**5\/60 + 7*q**3\/3 - 2*q**2. Let t be y(0). Is 44\/7 - 4\/t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/135 and -13\/15606?\nAnswer: 78030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 11*n + 21. Suppose 0 = -n*y - 20*y + 115. Factor 9\/4*v**y - 6*v**2 + 0*v - 21\/2*v**4 + 15*v**3 + 0.\nAnswer: 3*v**2*(v - 2)**2*(3*v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2. Let a(q) = -q**2 - 79*q. Calculate a(g(j)).\nAnswer: -j**4 + 79*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 68\/(-51)*15\/(-50). Which is the closest to 1? (a) -1\/57 (b) 0 (c) -2 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 16*s**2 + 4*s - 3. Let x be y(2). Suppose -2*p - p + x = 0. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98 + 109. Suppose g = -5*k - 4, 4*p - 4*k = 2464. What are the prime factors of p?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-3))\/(11*(-4)\/132)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4590931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g - 7. Let n(x) = x + 1. Suppose -5*z - 25 = -4*o, 3*o - 16 = -2*z + 3*z. Determine z*y(q) - 6*n(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5022 is divided by 39.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 386194 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + 13024.5?\nAnswer: 13052.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/158 and 3\/109?\nAnswer: 17222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-10 - (-6 + -1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d + 8. Let a be l(11). Let m be (0 + -6)*a\/(-3). What is the greatest common factor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*n + 570 - 8*n - 536 + 0*n as f + i*n and give f.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 4:05 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = s + 36, -2*m - 1052*s + 1054*s - 18 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from ymmfmyfmy.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (45\/(-18))\/(2\/(-4)). Suppose -w*f = -5*c - 1 + 56, -5*c + 37 = f. Solve -32 = -c*h + 3*h + 3*m, -4 = m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-33)\/(-2))\/(1\/62)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1353 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 67*p**2 + 5*p - 1. Let s(k) = -66*k**2 - 7*k + 1. Determine -4*o(a) - 3*s(a).\nAnswer: -70*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -449.9 and 103077764.\nAnswer: 103077314.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-three fifths of a microgram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 10*b**2 + 32*b - 43. Let o(a) = -7*a**2 - 22*a + 28. Let c(m) = 7*o(m) + 5*q(m). Calculate c(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w. Let x(y) = 2*y. Let o(f) be the first derivative of -1\/2*f**2 - 10*f + 2. Let l be o(-5). Calculate l*u(d) + 6*x(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 26. Suppose -d*q = -3*f - 65, -6*q = -2*q + f - 123. Let x = q + -11. What is the highest common divisor of x and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 4*c + 144 = 0. Let v be ((-4)\/c)\/((-5)\/(-15))*-12. Let m = 1 - -1. Sort m, v, 5 in ascending order.\nAnswer: m, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from hvbvvdvz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 3*m + 3*m)*(0*m**2 + 6*m**2 - 4*m**2) - 24*m**2 - 4*m**3 - 24*m**2 + 50*m**2 - 2*m - 1.\nAnswer: 10*m**3 + 2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 69 + 5?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 7:29 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, m: 1, n: 9}. Give prob of sequence nmn.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6934*f**4*v**3 - f**4 - 2*f*v**2 + f + 9*v**3 + 1104 wrt f.\nAnswer: 83208*f**2*v**3 - 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-56) - (-1)\/4. Let d = 118 + -117.6. Let o = 1.4 - -3.6. Which is the nearest to s? (a) o (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6029 and -6032 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2010754 and 188.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*-230*(-8)\/880.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 18777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = -14*i + 24 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -46*r**4 + 69*r**3 + 21*r**2 - 5*r - 5. Let q(y) = -48*y**4 + 70*y**3 + 22*y**2 - 6*y - 6. Let u(j) = 6*d(j) - 5*q(j). Factor u(i).\nAnswer: -4*i**2*(i - 2)*(9*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00032679 rounded to 5 dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*q - 40 = 0, 0 = 2*x + 3*x - 3*q - 44. Solve 0 = -j - j - x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/21 - 4\/(-14). Let q(k) = k**3 - 4*k**2 - k + 3. Let n be q(3). Let j be ((-2)\/18)\/(15\/n). Is b less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3 + 4 - 9*c - 1. Let q(w) be the second derivative of w**6\/360 + 7*w**3\/6 - 5*w. Let r(o) be the second derivative of q(o). What is r(h(b))?\nAnswer: 81*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*a - 94, 4*a - 3*a + 414 = 5*h. Suppose h*w - 1716000 = 85*w. What is w rounded to the nearest 10000?\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 32, 126, 290, 542, 900?\nAnswer: 1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (290 + 61*h - 290)*(-4 + 4 + 3) as p + b*h and give b.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*v + 2*v = 42, 5*d + 2*v = 74. Suppose d + 19 = 5*c. Factor -8*b**2 - b + b**3 - c*b**2 + b**4 + 14*b**2.\nAnswer: b*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/14094 and 67\/270.\nAnswer: 70470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*c**3 + c - 23*c**3 + 63*c**3 - 343*c**3 - 206*c**3 - 534*c**3.\nAnswer: -1206*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/6)\/(350\/(-105))*2325\/(-31).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -589125975 to the nearest 100000.\nAnswer: -589100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 547 + -531. Suppose -5*d - 5*r = -70, -28 = -d - d + 4*r. Calculate the lowest common multiple of q and d.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 198732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 + 606*q + 22732. Give h(-152).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = f - 0*v, -2*v - 10 = -3*f. Suppose 5*x - x = 4*i + 32, -3*i + 21 = f*x. Calculate the highest common divisor of x and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + 0 - 30 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1532 and -109\/4116.\nAnswer: 1576428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i**2 - 18*i - 2. Let h(d) = -6*d**2 - 16*d - 2. Give 4*b(g) - 5*h(g).\nAnswer: 2*g**2 + 8*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -0.338 (b) -0.1 (c) 4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.28 - -0.68. Let k = -1.2 - -1. Which is the third biggest value? (a) k (b) -4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79 - -83. Let u be a*(-2)\/(-4)*(-10 - -9). Is ((-1)\/u*1346)\/(1\/1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11967.795 months?\nAnswer: 9.9731625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 1106*g**2 + 4*g - 8. Let f be u(2). Suppose -18*i + f = -4198. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16924 - -1935. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**3 + r**3 - r**3)*(14*r - 8*r - 8*r - 3) in the form v*r + p*r**4 + k + c*r**2 + q*r**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440 = -i - 3*i. Let c be -364*13\/i - (-8)\/(-10). Let x = c + 16703\/396. What is the common denominator of x and -29?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00277057512 to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/8)\/(0 - (-6)\/(-36))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 - 16*a**2 - 22*a - 139. Let h be y(-41). Factor h + j**5 - 111709 + j**4.\nAnswer: j**4*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -32112154?\nAnswer: -32112162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 2 + 5*b - 3*b. Let j be q(7). Find the third derivative of 4*w**3 - 9*w**3 + 7*w**2 + w**4 + j*w**3 wrt w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u + 2. Let y be t(-5). Calculate the highest common factor of 96 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 4*p + 69 + 366, p + 295 = 2*b. Is b bigger than 149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 11*b = l - 25, 5*l - 11 = -b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.358117ml?\nAnswer: 0.002358117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9860*g**4 + 65679*g**2 wrt g.\nAnswer: 236640*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -232580 rounded to the nearest one thousand?\nAnswer: -233000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 121, -4, 211363 in increasing order.\nAnswer: -4, 121, 211363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*v + 72, h + 28 = -h + v. Is ((-8)\/h)\/(2\/141) 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 1\/3, -2\/9, -0.1, 3.03?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(6*k - 2*k - 3*k) + 92*k - 33*k - 41*k.\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2462602623.\nAnswer: 3, 13, 63143657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13309 is divided by 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/49 + -39\/245. What is the biggest value in d, 9, 0.5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-156*(-15)\/(-45)*2\/(-2). Let v(a) = 5*a - 253. What is v(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2386145*s**5 - 7542203*s wrt s.\nAnswer: -47722900*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 - -52. Suppose -2*r + 3 = w. Let p be 15\/(r - -4)*3. What is the greatest common divisor of 90 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l**3 - 5*l**3 + 5*l**3)*(2*l - 4*l + 0*l) + 0*l**3 - l**4 + 0*l**3)*(2 - 1 - 2).\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/2)*l**(-3\/4)*((l**(-2)*l)\/l)**(4\/19))**(-1\/24))**(-3\/5) assuming l is positive.\nAnswer: l**(-51\/3040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.54 in -3\/2, -1\/2, -0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 23*z**2 + 87*z + 11. Determine g(6).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcbbncbncbbbnc. Give prob of sequence bcn.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 8*w - 3. Let b(v) = -16*v + 6. Let o(t) = 2*b(t) + 5*h(t). Is o(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 55 + 20. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -5*s**4\/4 - 11*s + 19. What is the first derivative of u(j) wrt j?\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/257300 and -99\/1749640.\nAnswer: 8748200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2272, -2334, -2494, -2800, -3300, -4042, -5074, -6444?\n\"Answer: -8*i**3 - i**2 - 3*i - 2260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 29151*p + 349515. Give f(-12).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*s - 15 = 0, s = 4*p - 12 - 6. Let r = 257\/5 - 51. What is the closest to 1 in r, 0.1, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5*x - 14 = 0, x + 0 - 6 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55315 and 296.\nAnswer: 442520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27 and 9274.\nAnswer: 9301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*sqrt(12)*-4 - sqrt(72)\/sqrt(6)*1)\/(-1*((sqrt(80)\/sqrt(4))\/sqrt(5) + (sqrt(32)*2)\/sqrt(8))))**2.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3567*j**2 + 5171*j**2 - 8740*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 21b97 (base 15) to base 10\nAnswer: 107242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i + 295 - 3*i - 3*i**2 - 285. What is n(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/4)\/((-3)\/6). Is 1\/21 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/15*y**3 + 8\/15*y - 2\/3*y**2 + 0 = 0. Calculate y.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200878 divided by 2?\nAnswer: 1100439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 70 in -0.5, -7\/6, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1984787441?\nAnswer: 7, 13, 21810851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 0*q**2 - 239*q + 239*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -299 + 4.63\nAnswer: -294.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*(sqrt(11) - (sqrt(176))**2) + (-1 + (2 + sqrt(11))*-6)**2.\nAnswer: 150*sqrt(11) + 1621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -160\/427 - 12\/61. Let t = 15 + -13. What is the nearest to -1 in 0.3, t, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/91 - ((-26)\/(-7) + 0). Let l be n - (2 + 3)*-2. Let w be 32\/3*((-12)\/l - 52498). Round w to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1400088 and 456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -786 - -808. Let j = 1016 - 850. Calculate the remainder when j is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*h - 2690, 0*h - 2*h + 1792 = 2*d. Is 23 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*(-84)\/210?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -200211?\nAnswer: -200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*g**3 + 54*g**3 + 46*g**3 + 60*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14 - (3 - 1)) + -1. Suppose -h = 3*o - 4*h - 24, 0 = 2*o + 3*h - 16. Let v = o + x. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9725.\nAnswer: 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2\/9, -2\/3, 2, 0.2, -2.7 in descending order.\nAnswer: 2, 0.2, -2\/9, -2\/3, -2.7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19\/4? (a) -2\/7 (b) 0 (c) -5543 (d) -2 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1137 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 299 = 2*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = 5*s, 4*i + 9 = i - 2*s. What is the remainder when -1 + (0 - -2 - i) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5125\/(-205)*(-10)\/(-25)*-2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22825, 45503, 68167, 90811, 113429, 136015?\n\"Answer: -m**3 - m**2 + 22688*m + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - l**2 + 4 + (-80 + 41 + 39 - 153*l)*(5*l + 5*l - 6*l).\nAnswer: -613*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*i + 1, 21*l + 2*i = 27*l - 16. Solve 15*m + 4*u = 17*m + 12, -10 = l*m - 2*u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j + 3. Let c(m) = 5*m + 2. Let h(b) = 9*c(b) - 6*q(b). Let z(u) be the first derivative of -5*u**2\/2 + 2683. Give h(z(k)).\nAnswer: -45*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 7:13 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1222 or 1242?\nAnswer: 1242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.00732 decades to millennia.\nAnswer: 0.2400732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 3*c - 5. Suppose -2*q - a + 4 = 0, -4*a + 40 = 2*q + 36. Let d(p) = p - 1. Let j(s) = q*d(s) - t(s). Calculate j(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 896*c**3 + 1584*c**3 + 251*c**3.\nAnswer: 2731*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 82584645791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2385*d - 139622 + 187*d - 3891*d**2 + 139622 wrt d?\nAnswer: -7782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 590 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 3 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29328579*o**4 - 46534934*o wrt o.\nAnswer: 351942948*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + 2)*(-15)\/9. Suppose -12 = 3*l, 7*r - 2*r + l = 61. Let n = r + -11. What is the greatest common divisor of p and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6))\/((-129)\/774). What is the nearest to 1\/2 in -5, -1.8, -0.02, t?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 9*o = -10*o + 6, 3*p - 2*o = -16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awkwkxnwkwwex. What is prob of sequence ae?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/19)\/((n**0*n)\/n))\/(n\/((n\/(n\/n**0)*n)\/n)*n)**45)\/(((n\/(n**2\/n))\/n)**(-3)\/(n**(-1\/4)\/((n\/n**(8\/7)*n)\/n))) assuming n is positive.\nAnswer: n**(-49589\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 80296 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3*w + 10, -7*g + 4*w = -10*g + 15. Suppose 1671 = -g*q - 299. Let b = q - -559. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 964 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 950.6359 micrograms in tonnes?\nAnswer: 0.0000000009506359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0505 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 187178285 a multiple of 578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*x + 9729 = 57*x for x.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85097953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = g + 2. Let j(d) = -4*d**2 - 47*d + 17. Let h be j(-17). Let p = h - -348. Sort p, g, -2, -4 in increasing order.\nAnswer: -4, -2, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1)*r)**(-35)*(r\/r**7)\/(r*r\/(r*r**(-6))))**(8\/17) assuming r is positive.\nAnswer: r**(-944\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 14.11. Let m = -0.15 + l. Which is the closest to -1\/4? (a) m (b) -2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17 - -22) + (-816)\/(-3). Let z = u - 277. What is the nearest to z in -0.4, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129750 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5761 * 1.3.\nAnswer: -7489.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.253462m in millimeters?\nAnswer: 8253.462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 3b491?\nAnswer: 3b493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 4*y - 1. Let r be d(5). Let x = r + -11. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*c - 2 = -6*c, 14 = 3*x + 2*c. Let m(o) = 3*o - o**2 + 0*o - 3 + 0*o. What is m(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 9, -5.\nAnswer: -5, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**4 + 85*d**3 - 15*d**2 - 4565*d - 8470 = 0.\nAnswer: -11, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 + 31*y + 2130. Give j(41).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.5, -0.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003143 to 7 dps.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15576 divided by -4.\nAnswer: -3894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25467 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - -3*(-2)\/(-6). Suppose -2 = -z + c*j, -3*z + 2*j + 6 = 5*j. Suppose z = w - 2. Solve r + 1 = w*m, -5*r + 5*m + 1 - 6 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2286099*g**3 + 2766*g + 2766. Let a(z) = -4134*z**3 - 5*z - 5. Determine 2766*a(d) + 5*k(d).\nAnswer: -4149*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 37402 and 37269 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-120)\/(-9)*(24\/5)\/(-4). Let p(m) = m**3 + 16*m**2 - 2*m - 30. Let b be p(k). Suppose 4*c - 4*d = 136, 3*c = c - b*d + 80. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 296343 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220b (base 13) to base 9.\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 17*l**2 - 139*l - 405. Suppose 30 + 38 = 2*q. What is the remainder when g(-3) is divided by q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 5*l + 534911 = 534802, -4*y + 2*l = -38 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (-1 - (8 - 5))) + 2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.402812us in nanoseconds?\nAnswer: 2402.812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 0*k**2 + 2*k**3 - 2*k**2 - k**2 + k + 1. What is g(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201764 = -2*l - 5*i, 2*l - 2*i - 201760 = -5*i. Suppose l = -2*m + 28589. Let g = -53144 - m. What is g rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2497 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*d + 3094 = 106*d for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - j - 417565, -5*z - 8*j = -7*j - 2087819. Is z\/364 + 2\/(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1058 (b) 0.14 (c) 0.4 (d) 2\/61 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -309 - -361. Solve -9*b - t = -7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1\/u)\/((u**(-2)\/u)\/u)*(u**(-1)*u)**(8\/9))**32 assuming u is positive.\nAnswer: u**128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.469 - 0.1.\nAnswer: -0.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9\/10 of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, n: 7}. What is prob of sequence nfnf?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17060000 rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -478 - -472.88. Let p = o + 5.07. Sort -3, 9, p in increasing order.\nAnswer: -3, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -z + 4*d, 0 = -2*z - 3*d - 5 - 6. Let m = z + 4. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*l**2 - 165*l**3 + 278*l**3 - 130*l**3 + 120*l**2.\nAnswer: -17*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -326, -324, -322, -320, -318?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*n = -32*n + 8*n + 371 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**3 + 2*n**2 + n. Suppose -u - 4 = -3. What are the prime factors of d(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6*s\/(s*s*s*(s**(-3)*s)\/s*s))**(-4\/5) assuming s is positive.\nAnswer: s**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -o - 5*c, 3*o - 103 - 265 = 2*c. Calculate the highest common divisor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -175.9 or -830\/201?\nAnswer: -175.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/2))**39)**(-2\/37)\/((c**1\/c*c)**(-10\/9))**42 assuming c is positive.\nAnswer: c**(5063\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 + 3*j**4 - 13*j**4 + j**2 - 2*j**4 - 3*j**2 + 8*j**2 as f*j**3 + t*j**2 + d*j + u*j**4 + a and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2\/21)\/((-12*(-10)\/(-1400))\/1)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from {d: 6, m: 1, s: 3, r: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1702 and 9568?\nAnswer: 354016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 590163225 a multiple of 653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*j - 19, -2*h + 7*j = 3*j - 22. Factor 5\/2*o**4 + 1\/2*o**5 + 5\/2*o + h*o**3 + 5*o**2 + 1\/2.\nAnswer: (o + 1)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-2) - (377 - 373))*(1 - 0 - 143).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, u: 1, r: 3}. What is prob of picking 1 y and 1 r?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41112 and 2.\nAnswer: -82224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316551901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 333.9 times -2?\nAnswer: -667.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -41, -11379 in increasing order.\nAnswer: -11379, -41, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 divided by -4037.\nAnswer: -102\/4037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 395084790 a multiple of 2385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -77, -152, -219, -272, -305, -312, -287?\n\"Answer: p**3 - 2*p**2 - 76*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.91 and 453.\nAnswer: 865.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70 + -67. Let u(r) = 3*r**3 - 2*r + 1. Let n be u(1). Solve -10 = 2*t + 3*t + 3*z, -5 = b*t + n*z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.2. Let a = 1221 + -1196. Which is greater: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23 + 0?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2814*g - 3121*g + 310*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 377 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -4344?\nAnswer: -4404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/3)\/((-5)\/(-15) + -1). Suppose -g = 13*r + 38. Let h = 6 - 11. Put h, 1, r, 2 in decreasing order.\nAnswer: 2, 1, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9497 divided by 58.\nAnswer: -9497\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 6. Let o(f) = 1. Let g be (-72)\/90 + 2\/(-10). Let y(r) = g*t(r) - o(r). Calculate y(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 45 + 59 = 5*p, -4*i + 54 = 3*p. Suppose 5*s = 2 - p. Let v(k) = k**2 + 4*k + 2. Let t be v(s). Solve 2*n - 3*n - c = -9, n - t*c = -6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - sqrt(567))\/sqrt(7) + 3*sqrt(27)\/sqrt(3))\/(sqrt(3) - -2*sqrt(363) - (sqrt(3)*2*3 - sqrt(3))).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 - 6*o**3 + 9*o**2.\nAnswer: -3*o**2*(o - 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*q + 12, -5*s + 17 + 13 = -5*q. What are the prime factors of (-69 - -2)\/(-2 + (-9)\/q)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 5*a**2 - 8*a - 5. Let t be m(7). Let s = 46 - t. Let u be 48\/s - 2\/6. Let y(r) = r**3 - 6*r**2 + 5*r + 4. What is y(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 15972?\nAnswer: 47916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -42400111 (base 5) to base 14\nAnswer: -93ba9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(84)\/(sqrt(12)*-2 + sqrt(12) - sqrt(12)) + -1 + sqrt(21)\/sqrt(3)).\nAnswer: -5*sqrt(7)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -897*h + 27802. Determine m(31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 368, 0?\nAnswer: 368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 5*c + 14. Let p be z(-2). Suppose 9 = 5*j - 41. Solve p*h = -2*h + j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7853.567 milligrams in nanograms?\nAnswer: 7853567000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -46\/9, -1\/38?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1722, -1478, -1072, -504, 226, 1118?\n\"Answer: 81*k**2 + k - 1804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182 by 2672.\nAnswer: -91\/1336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k**2 - 12*k**2 - 8*k**2 + 4*k**2 in the form m*k**2 + f + j*k and give m.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 + 4*g**2 - 2*g**2)*(-3*g**2 + 4*g**2 + g**2) - 10740*g**3 + 107*g**4 + 10740*g**3 as k*g**2 + d*g**4 + n + l*g + f*g**3 and give d.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 224129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2484\/(-48))\/23*4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-165)\/(-55))\/(1148\/(-164)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -13*x**2 - 9*x - 2. Let w(t) = 14*t**2 + 11*t + 3. Calculate -5*c(i) - 4*w(i).\nAnswer: 9*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + (-26 - (24 - 61))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2493 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bumj when four letters picked without replacement from jbbubjubbjbbbmuuuumu.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*p. Let h be (-6)\/4*4\/(-3). Suppose -u - 2*v - 10 = h*v, -2*v = 2*u - 4. Solve p = u*o - 2*o + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166 + 602 = 79*c + 3280 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - ((sqrt(70) - -2*sqrt(70)*3) + sqrt(70) + sqrt(70) + sqrt(70))) + sqrt(70))\/(sqrt(1000)\/sqrt(4)).\nAnswer: -8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - q - 6 = 0, 0 = 13*m - 18*m - 4*q - 24 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/12 + 6\/(-8)*-4. Which is the smallest value? (a) -0.7 (b) 1\/3 (c) p (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2742 + 1086 = 0. What is the greatest common factor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8784 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9272503, 9272504, 9272505, 9272506, 9272507, 9272508?\n\"Answer: v + 9272502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*s = 47*s - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-1) - -2)*1. Solve -5*d - 28 = -s, 3*d = d - 3*s - a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 - -71. Suppose -5*i - 40 = -5*l, -3*l - 18*i + 15*i + 24 = 0. Solve r*j = j + l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 11:58 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*x - 8. Sort -4, x, -2.\nAnswer: -4, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.4 (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -884, -1793, -2702, -3611, -4520?\n\"Answer: -909*t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 3. Calculate the remainder when (-8)\/(j*2\/(-4)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - -22?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 6) to base 16\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 13*c**2 + 211*c - 2872. Calculate w(-25).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 5*b + 80, 0*y - 4*y + b + 76 = 0. Suppose -4*c + y = -60. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/28 - (-7 - 357\/(-49)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/(o*o\/(o*(o\/o**(3\/13))\/o)))\/o)\/o**9)**46 assuming o is positive.\nAnswer: o**(-5520\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 7:01 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/((-2)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 16\/9 (b) -2 (c) 1\/5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (708 - 232 - 122)*(-x - 23*x + x).\nAnswer: -8142*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighty-five quarters of a gram?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -652, -547, -442, -337?\n\"Answer: 105*h - 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)*-3 + -3)*-3*4.\nAnswer: 36 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4008 by 217575.\nAnswer: -1336\/72525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 2*u. Let t be a(2). Let g = -127170 + 127171. Solve g = -t*k - k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6456376613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 + 33*s**2 + 42*s**2 - 81*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14206 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-5))\/(13\/15 - 1). Suppose -2*f + 4*v = 18, 5*f + 3 = -5*v - 12. Sort n, 5, 1, f in ascending order.\nAnswer: f, 1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2. Let g be -30*3\/(-15) - 4. Let x(y) be the second derivative of 0*y**3 + 0*y**g + 0 + 17\/12*y**4 - 21*y. Give z(x(d)).\nAnswer: 289*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21377 is divided by 4275.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/((-9)\/21 - (-92)\/84). Suppose 5*i - q = -g, -4*g - 4*i = g - 45. Suppose -g*a + 5 = -5. Sort a, -3, 0, 1 in ascending order.\nAnswer: -3, 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -j, 4*j - 22 = -3*o - 0. What is the remainder when o*6*(-14)\/(-8) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 208123 = 2*p + 208159, 2*r + 4 = -p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 8*p**2 - 2. Suppose 2*f - 12 = 4. Let x be i(f). Which is the second biggest value? (a) 3 (b) -1\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 1. Let w be (-4)\/(-2) + (-4)\/(-2). Suppose -47 = -w*n - a, 6*n - 2*n + 3*a = 37. What is the remainder when b is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002424 rounded to seven decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 676\/(-130)*-20*(-7)\/56.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 3:09 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 divided by -251?\nAnswer: -98\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4 - 6 = 0. Suppose z*b = -0*b. Suppose -3*m + 121 + 32 = b. Calculate the highest common divisor of 17 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 743396 - 8177354\/11. Factor -40\/11*r - m*r**2 + 42\/11.\nAnswer: -2*(r - 1)*(r + 21)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/9)*o*o*o**1)\/(o**(-5)\/(o**(-1\/5)\/o*o)) assuming o is positive.\nAnswer: o**(371\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1389.025512 - 1389. What is c rounded to 4 decimal places?\nAnswer: 0.0255","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 35*r**2 + 12*r + 63. Let d(p) = 71*p**2 + 22*p + 126. Let w(f) = -6*d(f) + 11*y(f). What is the derivative of w(c) wrt c?\nAnswer: -82*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30411\/154 - 2757\/14. Let z = -0.5 - -0.1. What is the third biggest value in z, 1.4, -4, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.16, -2, 19, 0.44, -5 in decreasing order.\nAnswer: 19, 0.5, 0.44, -0.16, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 42*x + 39*x + 9, y + 8 = -5*x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448427?\nAnswer: 7, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2.21*555014\nAnswer: -1226580.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 520764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = l + 2, 4*l = -p + 3*p + 4. Suppose l = 5*v - v - 28. Calculate the greatest common factor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2237196 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*p - 33*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 + 3*a**2 - 7*a - 8. Let s be x(-4). Let z be (7\/14)\/((-3)\/s). Suppose z*v - 19 = 9*v. What is the remainder when 35 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20349052 a multiple of 714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -6) + 3\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 10*f**2 + 9*f + 2. Let c be x(-9). Calculate the greatest common divisor of 14 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/4 + 123 + 1. Suppose 5*d + 494 = -y. Let s = -89 - d. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 297, 437, 577, 717, 857?\nAnswer: 997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 762 a factor of 23622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000068774 to seven decimal places.\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/9)*u\/(u*u**(-3\/4)\/u)*(u*u**(-2\/7))**(-25)*((u\/(u*u*u**(-2)\/u))\/u*u*u*u\/u**5*u)**(1\/18) assuming u is positive.\nAnswer: u**(-4115\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -352 + 786. Suppose -n - 4*b + 76 = 0, 2*b = -5*n - 0*b + r. Calculate the highest common factor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0113 times 0.018\nAnswer: 0.0002034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112 - 110. Suppose -2*a - 24 = -s*h - 4, -5*h = -a - 42. Solve -b - 10 = 2*y, y + 3*b + h = 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v - 145 = 0. Suppose -24*g + v*g - 80 = 0. What is the least common multiple of g and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjjgjjjjjjjj?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (34\/(-2431))\/((-34)\/442). Let n = -0.21 + -1.69. Let w = n + 2. What is the nearest to w in 1\/3, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1755 - 1046. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 3*c + 3. Let j be a(3). Suppose 5*l + 0*l - 9 = -j*r, -2*r - 19 = -5*l. Suppose l - 1 = -o. Let v(p) = -p**2 - 2. Determine v(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mceh when four letters picked without replacement from {m: 1, c: 1, h: 1, o: 2, v: 1, e: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -55 + (14 - -1 - -1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r = 36. Solve 0*z = -2*i - 3*z + r, 1 = i - 2*z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -12*k**5 - 180*k**4 + 3441*k**3 + 71628*k**2 + 236601*k - 783978 = 0.\nAnswer: -13, -23\/2, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 - 21 - 8*w**2 - 20 + 0*w**2 + 41. Let v(f) = 153*f**2. Let i(u) = 7*u**2. Let p(x) = -45*i(x) + 2*v(x). What is p(c(b))?\nAnswer: -225*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(180)*-1 + -5.\nAnswer: -6*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 - 3*y - 3. Let f(h) = -6*h**2 + 7*h + 7. Let w(o) = 7*d(o) + 3*f(o). Let r(q) = -q**2 - 4*q - q + 5*q. Calculate r(w(k)).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -11*y + 60 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*g + 43, 6 = 2*g + i - 1. Suppose 0 = 12*w - g*w. Solve w = 3*y + 11 + 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*w - 15836, 40*b - 5*w + 7932 = 41*b. Suppose -11*k + b = 12*k. What is the greatest common factor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**2 + 3*b - 9. Let l be d(5). Let z = -67 - l. Suppose 0 = -z*s - 2*s + 96. What is the greatest common divisor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 577602 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 662*p**5\/5 + 151*p + 120. Differentiate y(d) wrt d.\nAnswer: 2648*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**2*c)**27*(c**0*c)\/(c*c*c*(c*c**3)\/c*c))**(-3))**(36\/7) assuming c is positive.\nAnswer: c**(-8100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 14. Suppose 0 = -3*b - 0*k + 5*k - 16, -5*b - 4*k - 2 = d. Let o be (b + 2)\/(3 + -1). Solve -2*r - r = o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**8\/(a\/(a\/(a*a\/a**(-6\/11)*a)*a)))\/(a**3\/(a**(2\/13)\/a)) assuming a is positive.\nAnswer: a**(230\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 10:58 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*3*((-1 + sqrt(1053))*-1 - (sqrt(1053) + (sqrt(1053) + 2*sqrt(1053) - sqrt(1053)) + 1 - sqrt(1053)))**2*4)*6.\nAnswer: -682338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from dxxndeffcxcxcdnxxxdx?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 526 - 311*o**2 - 650*o**3 + 652*o**3 + 175 with respect to o.\nAnswer: 6*o**2 - 622*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 4)*(72 + 2*d - 168 + 79) as s*d + m and give m.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61336 and 1886?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 57*a**3 - 4*a - 5. Let k be v(-2). Let h = 688 + k. 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 the tens digit of 870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 3742?\nAnswer: 373c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 - 80. Let x be 198 - 0 - q\/4. What is the highest common factor of 25 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2451 divided by 3\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6\/11)*z)\/z*z*z*z**(-12)\/z*z*(z**(-1\/16))**(19\/3) assuming z is positive.\nAnswer: z**(-5777\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11 + r - r**2 + 5 + 10*r. Let g be p(12). Let c be 1*(-498)\/(-123) - g. Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 160970 - 87950. Round n to the nearest one thousand.\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 33*y + 33*y + 0*y + 0*y + 2*y**2 + (5*y + 0*y - 3*y)*(-5*y + 0*y + 3*y) - y**2 + y**2 - 4*y**2 - y + y + 2*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1367.046 rounded to the nearest 10?\nAnswer: -1370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 3*c**2 - c**2)*(-3 - 1 + 1)*(0 + 3 - 2)*(-3 + 4 - 5).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22850, -45717, -68584, -91451?\nAnswer: -114318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000000001111000001 - 1?\nAnswer: -10000000001111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = f - 6*f - 59, f = 2*h - 30. Let k = h - -24. Let y = -26 + k. Calculate the remainder when 18 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-54)*0\/5. Let m(h) be the second derivative of 0 + b*h**2 - 1\/12*h**4 + 0*h**3 - 1\/8*h**5 - 5*h. Let m(f) = 0. What is f?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 5:42 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 3578 and 3579 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**4 + 50*r**3 + 120*r**2 + 110*r + 35 = 0. What is r?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53842167 is divided by 47438.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.28 + -2.38. Let c = -1 + 4. What is the closest to 2 in r, -1\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 (base 10) to base 14\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -325*a**3\/3 + 189*a**2\/2 - 173. What is the second derivative of q(z) wrt z?\nAnswer: -650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/20*(-2 + 115\/60).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - 0.07. Let v = 0.02009 + o. Round v to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1046775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -z + 4*c + 27, 0 = -5*z + 3*c + 20. Let q(o) = 5*o**2 + o. Let i be q(z). Is (-12)\/18 - (-130)\/i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3066753 is divided by 123.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 42*g**2 + 3*g + 7. Let r(s) = -s**2. Let o(z) = m(z) + 5*r(z). Find the second derivative of o(y) wrt y.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 18 - 82 = 33. Solve -30*t = -n*t + 69 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -973, 0.01, 3 in increasing order.\nAnswer: -973, 0.01, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o - 21*o - 2*o)*(-39*o**2 + 128*o**2 - 92*o**2 - 338).\nAnswer: 48*o**3 + 5408*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.5 + -7. Which is the biggest value? (a) w (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 31 - 5 = 4*q, 18 = 4*q + o. What is the remainder when q is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -19*a - 5. Give u(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 496753?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, -4, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 737 + -506. Suppose -5*k = 4*z - c, -k + 14 = -5*z - 38. Suppose -12 + k = 5*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3)*a)**(-48)*a**(3\/4)*a\/(a*((a**(2\/3)\/a)\/a)\/a)*((a\/a**(-1\/5))**(-16))**(-4\/29) assuming a is positive.\nAnswer: a**(-129227\/1740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 4*i**2 - 6*i - 3. What is g(-5)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -5 + (44 + 12 - -22).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 = 8*c - 155. Differentiate -2*q - 35*q**2 - 118 + 36 - c - 43*q**2 wrt q.\nAnswer: -156*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 4003580538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -2 + (-23 - ((-1 - 6) + 5)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20 - -1a02?\nAnswer: 19a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -11011200?\nAnswer: -11011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(1509*u - 2019*u - 2173*u).\nAnswer: -5366*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 442*w**2 + w. Let g be (-63)\/(-105) + 4\/10. Is p(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 17*z**2 + 18*z + 25. Let f be c(-18). Calculate the highest common factor of f and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.088 - -0.558. Let i = 0.245 + -0.075. Let m = i - a. Sort 3\/4, m, 0.5 in ascending order.\nAnswer: m, 0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 602, 1201, 1800, 2399?\n\"Answer: 599*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 109 - 53 = 0. Let w be ((-33)\/15)\/((-318)\/x). Let l = w - 10166\/7155. Calculate the common denominator of -40\/9 and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 6*x**2 - 11*x + 9. Let k be z(7). Let i = 23 + k. Suppose 0 = -v + 5*o + 2, -i*o + 9 - 65 = -4*v. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 108 - 16 = 4*v, 5*n - 69 = -3*v. Calculate the remainder when (-5)\/((-5)\/36) - -1 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/11)*l)\/l**13*l**(1\/13)*l*l*l*l**(-15)*l)**8 assuming l is positive.\nAnswer: l**(-26432\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 8*x**2 - 9*x + 7. Let k be (5\/(-3))\/((-3 + 4)\/(-3)). Suppose -4*d + 4*v - 28 = 0, -4*v = -k*d - 6 - 31. What is the units digit of h(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1195, -1215, -1235, -1255?\n\"Answer: -20*d - 1175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 - -81.99894. Round d to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33702 and 623487?\nAnswer: 1246974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 4. Let c(f) be the second derivative of -f**4\/12 + 5*f**2\/2 + 5*f. Calculate 2*c(r) - 3*d(r).\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -22, 17, -26, -1, 10.\nAnswer: -26, -22, -2, -1, 1, 10, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -17\/5, 1\/2, -1, -0.1 in descending order.\nAnswer: 15, 1\/2, -0.1, -1, -17\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-2 - 3\/(-3)). Suppose -3*w - 4*o = -18, -3*o + 9 = u*w - 2*o. Factor -j - 8*j**3 - 16*j**4 - 16*j**3 - 7*j**2 - w*j**2.\nAnswer: -j*(j + 1)*(4*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 1.42, -2\/7, 0, 8, -121\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2*v + 2*v)*(-v + 0*v + 0*v + (-v - 2*v + 4*v)*(2 - 3 - 1) - 53 + 23*v + 53)*(-v**3 + v - v).\nAnswer: -20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 46527 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 28 and 311038.\nAnswer: 311066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -5 (b) -2 (c) -0.027 (d) 0.3 (e) -52\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/12*-3)\/(1\/(-4274)).\nAnswer: 2, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 15. Let t(s) = -s**3 + 7*s**2 - 4*s - 5. Let q be t(n). Let h = 22 - 18. Sort -2, q, h in descending order.\nAnswer: q, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2406 - 4516. Let k = o + 4092. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*b = -5*p - 96*b + 186, 3*p + 3*b - 117 = 0. Suppose p*z = 29*z - 21. Put z, 0, 5, 13 in decreasing order.\nAnswer: 13, 5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3*3*-7. Find the common denominator of -57\/4 and (791\/49)\/((-6)\/j).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -22667*o**4\/8 - 5*o**3\/6 - 2*o**2. Let d be n(-5). What is d rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/3)*n\/(n\/(n\/(n*n\/n**(-5\/4))))*n**(-5)\/n*n**(2\/7))\/(n**(-6)*n**(-12))**9 assuming n is positive.\nAnswer: n**(13051\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11887.166 rounded to the nearest ten?\nAnswer: 11890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/8, 0.2, 0.4, -7\/884, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5595, 11187, 16779, 22371?\n\"Answer: 5592*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a = a + 88. Let b = 0.01 - -2.99. Is b less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7512? (a) -6 (b) -4 (c) -0.036\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271430719.\nAnswer: 7, 38775817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 f, and 2 n when four letters picked without replacement from noffofooooonfooono?\nAnswer: 11\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - ((sqrt(204) - ((sqrt(204) - (sqrt(204)*4 - sqrt(204))) + sqrt(204)))*5 + sqrt(204)) - sqrt(204))*1)\/(-1*sqrt(768)*1).\nAnswer: 11*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3555 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.87 - -6.27. Let g = -20575447.6000004 + 20575441. Let m = a - g. Round m to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2840 <= 3522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 21 = -5*g, 95*s + 11 = g + 99*s. Solve -3769*x + g = -3768*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98451259 by 3394871.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -73, -124, -175, -226, -277?\n\"Answer: -51*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2534376 and 2534376?\nAnswer: 2534376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (93\/(-31))\/((-3)\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7412, 14809, 22168, 29471, 36700, 43837, 50864?\n\"Answer: -3*a**3 - a**2 + 7421*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3463644, 6927203, 10390762, 13854321, 17317880, 20781439?\n\"Answer: 3463559*b + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*n**2 - 3*n**3 - 6*n**3 - 5*n**3 - 11*n**2 wrt n?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6493, -12545, -18611, -24697, -30809, -36953, -43135, -49361?\nAnswer: -55637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + ((-6)\/10)\/(1\/5). What is the units digit of x - 1742\/(-8) - (-3)\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 9*f**2 - 23392*f**3 - 6*f**2.\nAnswer: -23392*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148859998.\nAnswer: 2, 7, 47, 226231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2098*s**4*v**2 - 5*s**2*v**2 + 4660*s*v**2 + 4*s + 2*v**2 + 2 wrt s?\nAnswer: 25176*s**2*v**2 - 10*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 - -233. Let x be 1\/(-3) - m\/(-21). Let k = x + -3. Solve 0 = -j + 7 - k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 190 and 74.\nAnswer: 7030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0445984 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -658*q**2*t + 59*t + 5 wrt q?\nAnswer: -1316*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.99 - 0.01. Let k = q + 5. Let f = 0.8 + -0.3. What is the smallest value in -0.5, f, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1062)\/(-1298)*935\/51.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 i when four letters picked without replacement from {z: 7, i: 9}.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68 - (0 + 20)) + -20 - -4.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7*j**2 + 3*j - 7. Let q be c(-4). Let o = -914\/7 - q. Solve -6\/7*h + 0 - o*h**3 + 9\/7*h**2 = 0 for h.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105*6\/54)\/(7\/63*-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*o*t*u**2 + 46*o*t*w + 873*o*t + 3*t*u**2*w + t*w - 360*u*w + 127*w wrt o?\nAnswer: 4*t*u**2 + 46*t*w + 873*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(60) - sqrt(120)\/sqrt(2))*-4)\/(sqrt(320) - sqrt(320)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 5*i + 5. Let a be u(-5). Is a\/(10\/188) + -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 13*d**2 - 1\/12*d**4 + 0*d - 1\/6*d**3 + 1\/3*d**5 + 0. Is w(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 13*n**2 + 1. Let i be u(1). Solve -4*j - 3*s = i, s - 14 = 2*j + 6*s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 4*d**2 + 5*d. Let a be r(-5). Let h(z) = z**2 - z + 24. Is 10 a factor of h(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30552 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -27550?\nAnswer: 27554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**0*x)**36\/(x\/(x**(-9)*x)*x**(-7\/4)) assuming x is positive.\nAnswer: x**(259\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - p + 1. Let z be k(0). Let c be 2\/(-4)*52\/z. Let x = c - -38. Solve -5*d - 3*s = x, -2*s + 1 = -1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43.681 + 0.869. Let u = -0.15 + z. Let n = 44 - u. Put n, -6, -2, -0.5 in decreasing order.\nAnswer: n, -0.5, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-60)*5\/4*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 5*p - 6. What is the tens digit of g(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 5:49 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 798a + 4?\nAnswer: 7992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3\/2 - 214173*o**2 + 45870073929*o\/2 = 0. What is o?\nAnswer: 0, 214173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19117 + 5?\nAnswer: 19121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610328385?\nAnswer: 3, 5, 769, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w + 28. Let x be v(-7). Suppose 7*z + z - 16 = x. Suppose -2*a + 655 = l, -5*a + z*l + 993 = -2*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**3 - 18*p**2 + 11*p - 2. Determine o(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + i - 379 = 0, -2*w + 188 = 2*i - 0. Calculate the remainder when 125 is divided by w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 797*l = -393 - 1201 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 540 + (-26 - -11) - 18. Calculate the highest common divisor of 338 and v.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 6*m**2 - 28*m + 17. Suppose 5*q - 25 = -5*o - 0*o, 0 = -4*q - 16. Let t be n(o). Suppose -t*h = h - 693. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -7*a**4\/12 + a**3\/6 + 4*a. Find the second derivative of d(j) wrt j.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -6. Let h(t) = 5*t**2 - 8*t - 7. Let g be h(x). Is g + 1 - (6 - 8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472 = -4*b + 32*m, -4*b - 36*m + 40*m = 52 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, i: 7, a: 2}. Give prob of picking 1 y and 3 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 2) + -13 + 23 + (3 - 3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 495616*z**2\/9 + 256256*z\/9 + 33124\/9.\nAnswer: 4*(352*z + 91)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - -231?\nAnswer: 23e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 106461786 to the power of 1\/3, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*z - 795 - 1094 + 30 = -47*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 570 - 94 = 4*i. What are the prime factors of i?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1495 divided by 23?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*h + 3951 = 120*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -22 and -2848.\nAnswer: -2870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257*f + 262*f = -4*n + 228761, 2*f = -5*n + 285981. Does 47 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 11:16 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1483620 (base 11) in base 3?\nAnswer: -11202220222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7031013 years in millennia?\nAnswer: 0.0007031013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-5)*(-90)\/(-378).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4891 + -97819\/20. Let d(t) be the third derivative of 8*t**2 + 0*t - 3\/2*t**3 - g*t**5 + 0*t**4 + 0. What is the first derivative of d(s) wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -278*m**2*p**2 + 2*m**2*p*t**2 + 153*m**2*t**2 + 31*m**2*t - 397272*m*p**2*t**2 - 2*m*p*t**2 - 7*m*p - 2*p*t**2 - t wrt p?\nAnswer: -556*m**2 - 794544*m*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 17*g**2 - 2*g + 2. Let b(u) = -69*u**2 + 9*u - 9. Let l(t) = -2*t**3 + 8*t**2 + 38*t + 37. Let p be l(7). What is p*w(x) + 2*b(x)?\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/22)*d**14\/d*d assuming d is positive.\nAnswer: d**(305\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23162, -46325, -69490, -92657, -115826, -138997, -162170?\nAnswer: -185345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-198)\/44 + (-95)\/(-19). Let -1 - 1\/2*l**4 + x*l - 1\/2*l**3 + 3\/2*l**2 = 0. Calculate l.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.2 and 0.1894972.\nAnswer: 0.41689384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + 73 + -53.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 - -66) + 4)*(-7)\/(-125)*-25.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 + (-15)\/(-4). Let k = -9 + y. Let u = k + 17. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 5:40 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62273\/63 + 6920\/7. Let v = 0.33 - -0.07. Let d be 2\/6 - 15\/18. What is the closest to -9 in v, d, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12828 is divided by 131.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2646540 divided by 19604\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*n = -12, -n - 2*n = -9. Let y(m) = 20*m - 2. Let k be y(-1). Let p = -14 - k. Calculate the highest common divisor of p and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 6 - -24 - 48?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, v: 6}. What is prob of picking 1 x and 2 v?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/24 - 4\/(-3). Suppose f = -2*s + 5. Suppose 2*l = 5*v - 2*l - 165, -s*v + 5*l + 49 = 0. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 681*b + 113*b**2 + 692*b + 0 + 559*b**2 in the form u*b**2 + r*b + z and give u.\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120 + -200?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-440)\/(-20) - (-2 - (-7 - -4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483174227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(14\/13)\/y))\/(y*y*y*y*(y*y*y**(-31)\/y)\/y*y*y) assuming y is positive.\nAnswer: y**(337\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-14 + 19) - 29?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -208*f + 208*f - 22*f**2 - 255*f**2 in the form h + k*f**2 + i*f and give k.\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -148 bigger than -174528\/1181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 - d + 35 + 39 + 37.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160353760 is divided by 495?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1020 + 5?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4598366*c*f**3 + 540423546*c*f**2 + 26*f**3 wrt f.\nAnswer: 27590196*c + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**3 + w - w)*(907*w + 356 + 2636*w - 356) to the form b + y*w**2 + d*w**3 + o*w**4 + m*w and give o.\nAnswer: -7086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40344 is divided by 3613.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 7*r. Let q be n(-7). Let g be 15 - (q + 2) - -1. Suppose -g - 16 = -2*f. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26542.69474 rounded to the nearest 10?\nAnswer: -26540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120728*b**5*y + 2*b**5 + 7*b**2*y + 232262*b**2 + 5 wrt b?\nAnswer: -7243680*b**2*y + 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 5*r + 2. Let s be u(-6). Let q = s + -3. Solve -5*d - 2*i = 1, i - q = -5*d - 4*i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35851 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*5\/(-10)*1. Suppose 5*r = -5*f - v*r + 1300, -2*r = 0. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3791469ml?\nAnswer: 0.0003791469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (59\/(-5))\/((-10)\/(-25))*-6. Let j = y + -177. Solve j = -3*d + 2*d - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-125)\/(-10))\/(-5)*10\/(-35)*7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -14. Let v be s\/3*(-30)\/(-20). Calculate the highest common factor of 16 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*d + 7. Let t = 0 - d. Is ((-5 - -3) + t)*7 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 869275.77 minus 0.5?\nAnswer: 869275.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Suppose 6 = -2*v + 2*v + v. Solve 3*i - 4 = 5*r - 4*r, u*i = -r + v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b - 1. Let s(h) = -h**2 - 10*h - 6. Let a be s(-5). Let d = a - 17. Let y be k(d). Does y = 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 19471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 9:00 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d. Let v be l(3). Let a = v - -26. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f + 25*f - 6*f + 5*f - 8*f.\nAnswer: 31*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60516?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1457262139 and 9307.\nAnswer: 9307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -436*n + 733*n + 647*n to w + g*n and give g.\nAnswer: 944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 7:36 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from {n: 4, j: 2, q: 1, h: 1, t: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 6) in base 14?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (122 - 88 - ((0 - -12) + -5))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 8*i**2. Let k(b) = -27*b**2. What is q(k(u))?\nAnswer: 5832*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266109, 263233, 260357, 257481, 254605?\nAnswer: 251729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*r - 5*r + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 441498410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 - 13*w**2 + 8*w**2 + 0*w**2 + 2*w. Let s be i(0). Let h(v) = v + 2. Determine h(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 15 = -5*w, -3 = -w + 2*y - 14. What is the remainder when 2 is divided by (w + 0)*(0 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/2066863 or 0?\nAnswer: -5\/2066863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l**2 - 1. Let s be q(2). Suppose -5*i + 5 = 2*z, -4*z + s + 24 = -5*i. Let p = 12 - 8. What is the least common multiple of z and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g + 2*g)*(-g - 2 + 2)*(-2*g + 2*g + g)*(9*g + 9*g - 3*g).\nAnswer: -30*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 304367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 11*f**2 + 2*f. Let d(o) = 76244*o**2. What is j(d(y))?\nAnswer: 63944622896*y**4 + 152488*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*o**3 - 10*o**2 - 294*o wrt o?\nAnswer: 24*o - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*13032222.\nAnswer: -65161110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w + 67598517 + 14926083 = 0. What is w rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3148890710 rounded to the nearest one hundred thousand?\nAnswer: -3148900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2328?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.24 or -49\/5?\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*n = 134, 3*k - 139 = -3*n + 2*n. What is the remainder when k is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5103 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**14\/(b\/b**(-1\/6)))\/(b**(-11))**(2\/15))**(-4) assuming b is positive.\nAnswer: b**(-286\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 - 77. Solve 0*q - 3*r = -2*q + 11, q = -2*r + x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3527496.\nAnswer: 2, 3, 7, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24772262.92 rounded to the nearest one hundred thousand?\nAnswer: -24800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 11:35 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -326629.6 minus -1902?\nAnswer: -324727.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(8)\/sqrt(4) + 0 - sqrt(2)) + 3 - sqrt(24)\/(sqrt(60)\/(sqrt(5)*-2)))*5)**2.\nAnswer: 300*sqrt(2) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**2 - 2*y. Let s(v) = 85 - 51*v + 103 - 188. Give s(l(b)).\nAnswer: 153*b**2 + 102*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m + 39. Let j(q) = -18*q - 206. Let p(g) = -j(g) - 5*u(g). Let t(x) = 52*x - 1. Give t(p(h)).\nAnswer: 156*h + 571","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 + o - 1. Let y be 39 + -35 + (-7 - -1). Let q(m) = -4*m**2 - m + 2. Give y*q(k) - 3*i(k).\nAnswer: -k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3666 and 29516?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/((-872)\/(-96) - 9). Suppose 0*o - 1674 = -a*o. List the prime factors of o.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*b**14)\/b*b*b\/(b**(2\/7)*b*b)*b*b)**(-1\/21))**(-2\/39) assuming b is positive.\nAnswer: b**(2\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8662 and 603046.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/3*((-4)\/(-35))\/((-16)\/(-120)). Suppose -5*u = i + i - 25, 2*u - 16 = -2*i. Suppose 3*t - g*w = 182, 3*t - 185 = -4*w + i*w. Does 31 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*m**2 + 93*m**2 - 32*m**2.\nAnswer: 133*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657934087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 12:59 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + t = 2*o + 116, 4*o + 3*t + 132 = 0. Let c be (6\/o - 0)*-5. Solve 0 = -5*g + c - 21 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -53 - 1343?\nAnswer: -1396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**4\/4 + 11*j**3\/3 + 3*j**2\/2 - 130*j + 152. Let x be v(10). Factor 3\/2*q**2 - 3\/2*q + x.\nAnswer: 3*q*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/5)*j*j)\/(j*j*j**2)*j**(-2)\/((j\/j**5)\/j))\/((j*(j**(1\/6)\/j)\/j)\/j**(-8)*j**6\/(j*j**(2\/5))) assuming j is positive.\nAnswer: j**(-67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3345 by -1223.\nAnswer: -3345\/1223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*c**3\/3 - 7*c**2\/3.\nAnswer: c**2*(13*c - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 51 = 4*f, -4*v + 9*f - 37 = 4*f. Suppose -101*z - 1938 = -625. Let h = v - z. Solve 4*s = -2*a + 2, h*a - 2*a - 5 = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197418 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*m + 15*m**3 + 106*m)*(-2*m + 3 - 3).\nAnswer: -30*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -4. Let k = r + -19.4. Let t = 13 + k. Which is the closest to 1\/3? (a) -2 (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/(-185))\/(34\/425).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3198 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 7. Let h(u) = -5*u - 1. Let d be h(-1). Let r be -4*(0 - (-5)\/d). Let m be o(r). Solve w - 3*k = 1, -2*w + 6 = -6*w + m*k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 1878 = -1090. List the prime factors of u.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(750) + sqrt(750) + sqrt(750) + (sqrt(750) - sqrt(750)*1))\/(1*sqrt(864)).\nAnswer: 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*i - x + 1, -2*x - 2 = -2*i. Suppose 2*p - p - 28 = i. Suppose -z - 10 = -p. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 2*p - 12. Let c be z(-5). Is 1 + 30 + c + -1 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 435 divide 57855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/17 and 39\/47468?\nAnswer: 806956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Let z(q) be the third derivative of 3*q**2 - 1\/6*q**3 + 0 - 1\/120*q**6 + 0*q + 1\/15*q**5 - 1\/12*q**4. Give z(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = 9*j + 10. Let p(g) = g**3 - 10*g**2 + 2*g - 15. Let t be p(10). Solve -3*h - 5*d + 20 = -j*h, -2*d = -t*h - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 3, 0.5, 4, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 297 + -257. Let g be 2\/8 + (10 - 450\/u). Let y(j) = -32*j**3 + j**2 - 1. Calculate y(g).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51934686 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3520, 14066, 31648, 56272, 87944, 126670, 172456, 225308?\n\"Answer: a**3 + 3512*a**2 + 3*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.3 (c) -2\/7 (d) 1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 11. Let c = 3 + n. Suppose 3*d = 4*d + 3. Put 3, c, d in descending order.\nAnswer: 3, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144591, 144752, 144913?\nAnswer: 145074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence caay when four letters picked without replacement from axypaaxyaccaaxyc?\nAnswer: 9\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + d - 902 = -x, 3 = d. Let i = 4670 + -4641. Calculate the highest common divisor of x and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234 and 187908318.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8010 and 22427822.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -4587?\nAnswer: -4588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((1*sqrt(18)\/sqrt(2))\/(-1*sqrt(12)) + -1 + -5))**2.\nAnswer: 6*sqrt(3) + 147\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.045744 rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107015 and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 25*q.\nAnswer: -25*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.29 - -6.09. Let h = 851\/15 + -282\/5. What is the nearest to h in a, -4, -0.1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + 17*g - 14. Determine d(-7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 14 - 42 + 38*v - 71 + 26 - 41. Let x be a(3). Is 6\/59 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 4*d - 8 = 5*n, -4*d - 10 = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-54 + 0))\/((-4)\/(-72))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 71, 139, 203, 263, 319, 371?\n\"Answer: -2*p**2 + 74*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*g + 3 = 52*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -49, -48, -47, -46, -45?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -12 + 32, -5*q - r - 45 = 0. Let b(n) = 5*n + 8. Let v(a) = -5*a - 3. Let u(l) = -11*l - 5. Let g(t) = 2*u(t) - 5*v(t). What is q*g(p) + 5*b(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 6 = -5*y - 3*l, l = 2*y. Suppose -2*a = -5 + y. Let z = -42 + 41.9. Which is bigger: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7432935 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.024, -13, -0.2, 3.9, 5 in descending order.\nAnswer: 5, 3.9, 0.024, -0.2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 97*m + 6010. What is j(-62)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34397\/2064 + -1\/688. Calculate the common denominator of q and 888\/88 - (5 - 0).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 31 = 10*g - 9*g + 2*n, -5*g - 14*n = -69 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, x: 1, t: 4, b: 2, o: 1}. What is prob of picking 1 q, 2 b, and 1 o?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 9. Find the third derivative of 2*i**6 + i**f + 2*i**6 - 3*i**6 wrt i.\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*d + 251 = -145 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8004.662 millilitres?\nAnswer: 8.004662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000038955 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -6)*(-24)\/(-36). Which is the closest to s? (a) -4\/5 (b) 2\/7 (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (15 - 25) - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 18. Find the second derivative of 7*m**o + 38*m**3 + 2*m - 38*m**3 - 5*m wrt m.\nAnswer: 140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960281 take away 104?\nAnswer: 960177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/28 - (-914)\/(-8)*-1. Suppose -s*p + 112*p + 10 = 0. Let i = 2 + -5. Sort -5, p, i in descending order.\nAnswer: p, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19115498.\nAnswer: 2, 9557749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 102 = 102 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4142400 + -12?\nAnswer: -4142412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 t when three letters picked without replacement from bbtiififbfbb?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5543 and 2169?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*x + 5 - 6 - 3 + 2*x**2 - 6 = 0. What is x?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-180)*1\/(-6)*14.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 10 = -2*f, -5*f = -g + 36. What is the derivative of -4*u + 2 + 4*u - g - 21*u**2 wrt u?\nAnswer: -42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*a = w - 28, -4*a - w - 36 = 0. Is -7 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -159297463*g**2 - 809*g - 100849 wrt g.\nAnswer: -318594926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 165*-107\nAnswer: -17655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3399596, -6799197, -10198798?\nAnswer: -13598399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -16*x - 11. Let w(p) = -9 - 7 - 9 + 27 + 3*p. Let q = 102 + -135. Suppose 3*n - 5*m + 4 = -4, -3*m = -n. What is n*g(v) + q*w(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 0, 10*m = 5*m + 4*q + 30. Solve 0 = -7*p - 1 - m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.163 (b) 0.3 (c) -6.5469 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 10822?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*f - 18, -q + 3*f - 2 = -2*f. Suppose 1664 = 5*t + q*s, -320 = -2*t - 4*s + 354. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/22)\/(((-13)\/(-26))\/((-7)\/(-2))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6207083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 704 - 698 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7388 divided by 4?\nAnswer: -1847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3285555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8686602943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 5*z**2 - 203*z + 800. What is c(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5950, -11979, -18092, -24289, -30570?\n\"Answer: -42*f**2 - 5903*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 25380 divided by 705\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -184*z**5 - 12*z**4 + 2*z**2 + 18?\nAnswer: -11040*z**2 - 288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 0.5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -287, -28, 4 in decreasing order.\nAnswer: 4, 1, -5, -28, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -774*q - 609*q**3 + 924*q - 51*q - 51*q - 48*q.\nAnswer: -609*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1118700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17718 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6 = 3*m, -6*q = -3*m - 4*q + 24. Let p be 138\/(-23)*(-1)\/(-2) - -8. Let l = 4 - 1. Solve -l*z = 2*n, 3*n - p*z = m*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 + -49. Let a = 1 + 9. Let v(n) = n + 12. What is the remainder when v(a) is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-6 - 1 - -2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 7, 25482 in decreasing order.\nAnswer: 25482, 7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 - 38*g + 944. Determine f(14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 3*y - 37, 0*y + 55 = 5*y - 5*s for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50 - 49) + 10 + 0 + 1 + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1 - 26 - 16 - 6 + 259*m. Let d(o) = 26*o - 5. Let h(j) = -49*d(j) + 5*g(j). Let i(u) be the third derivative of u**4\/12 + 3*u**2. Calculate h(i(t)).\nAnswer: 42*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2032 - 352 = 234*x - 4872. Solve -48*q + x = -52*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -2668601?\nAnswer: 18680207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.4, 4, -1, 0.12, 4.53, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, -0.03, -0.1, 0.039, -3, 0.1, -0.5?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -284711 times 0.0658\nAnswer: -18733.9838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/4155 and -151\/6.\nAnswer: 8310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110000 (base 2) to base 11.\nAnswer: -a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4376*x - 12. Let z(f) = -f. Give z(g(c)).\nAnswer: 4376*c + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 26. Calculate the highest common divisor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10744463*g**3 + 4*g + 1184130 wrt g.\nAnswer: -64466778*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 805 + -477. Let i = -323 + k. Solve 6 = 3*p + i*b, -2 = -p - 0*b - b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j - 6. Give g(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 93973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -242628745819993\/67363 + 3601810279. Let q = 2\/2173 + b. Let j = 14 + -13.9. What is the closest to j in 0.2, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374020385?\nAnswer: 3, 5, 4241, 21599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1501\/6 + 686\/3. Let n = 21 + g. Is n at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**3 + 3*r**2 + 4. Let u(x) = -11*x**3 + 7*x**2 + 9. Let n(k) = k**3 - 5*k**2 + 7*k - 5. Let o be n(4). Calculate o*d(w) - 3*u(w).\nAnswer: -2*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*m**2 - 1290 + 2621 - 1332.\nAnswer: 77*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 5*y**4\/8 - y**3\/6 + 20*y**2. Suppose 11 = -x - f + 5*f, 13 = -2*x + 5*f. List the prime factors of g(x).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4834, -4822, -4806, -4786, -4762, -4734?\n\"Answer: 2*b**2 + 6*b - 4842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33439245?\nAnswer: 3, 5, 7, 167, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z - 18. Let p be x(6). Let h = -39.8 - -39.7. Which is the second smallest value? (a) -4 (b) h (c) p (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5727, 5, 7, 1 in increasing order.\nAnswer: 1, 5, 7, 5727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67420423*q**6 + 2356744*q**2 + 49 wrt q.\nAnswer: -8090450760*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*i + 27*i - 21*i.\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 318828\/19921 at most as big as 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -5, -37, 5, -317 in decreasing order.\nAnswer: 38, 5, -5, -37, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177 + -157. What is the remainder when 37 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/9 + (-34)\/9. Let f(h) = -h + 4. Let a(i) = i**3 + 5*i**2 + i + 7. Let d be a(-5). Let j be f(d). Sort j, 4, g.\nAnswer: g, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, r: 2, s: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vad when three letters picked without replacement from {d: 3, a: 1, z: 2, n: 3, v: 1, q: 3}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*m**3 + 103 - 103 - 609 - 30*m**3 + 609 + m**3 - 3*m**3 + 0*m**3 + (0*m + m + m)*(0 + 0 + m**2) + 3*m**3 - 4*m**3 + 3*m**3 + 4*m**2 - 4*m**2 + 2*m**3.\nAnswer: -37*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 2*h + 6. What is v(4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1255, 948, 629, 298, -45, -400, -767?\nAnswer: -1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1.9. What is the third smallest value in q, -1\/3, -0.07?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.7 or -1709288?\nAnswer: -1709288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 divided by -318?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -15. Let h be 32\/z - (-4)\/10. List the prime factors of (2\/h)\/(4\/(-24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91058656 divided by 183586.\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6058115 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 t when four letters picked without replacement from {t: 2, d: 4, c: 6}?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 5:51 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3127*g**2 - 3127*g**2 - 2*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14 - 5) + (-148)\/26. Which is smaller: 3 or o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 0 + 2)*8\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 52*q**2 - 67*q - 820. Calculate m(-51).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15537630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 4*v + 26, 5*r = -v - 4*v - 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*v = 16, 0*p + 25 = 4*p - 5*v. Solve 2*h - h = -p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 21*u. Let n(o) be the second derivative of -230*o**3\/3 - 4279*o. Calculate i(n(k)).\nAnswer: -9660*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-32 - (-8 - -21) - (2 - 16))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 4) + -7 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5425 divided by 153?\nAnswer: -5425\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -23*d - 6 + 3 + 24*d. Suppose -2*q = 4, 2*o + 0*o = -q + 12. What is the units digit of v(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 18 - 26*s + 18 + 15*s**3 - 17*s**3 + 19*s**2 + s**3. Does 23 divide p(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*sqrt(4840)*-2)\/(-2*(sqrt(72)*-1 + sqrt(72)) - (sqrt(72) + (sqrt(72)*-2*-4 - sqrt(72)) + sqrt(72))).\nAnswer: 440*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1164752.12249 and 5.\nAnswer: -1164747.12249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 8*s + 5. Let p be n(8). Suppose -4*c + 2*r + 40 = 0, p*r - 3*r = -c + 10. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + 0.1. Let s = o + -2.8. Let r = -2\/583 + -634\/583. Which is the biggest value? (a) s (b) -2\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 358601*j**2 + 2152095*j.\nAnswer: 717202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 25*f + 42. Let q be (-2 - -20)*(25\/(-10) - -1). Is 17 a factor of d(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7 - -1. Which is the closest to -1\/4? (a) 0.5 (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*b**5 + 3*b**5 + 13*b**5 + (-2*b**5 - b**5 + 4*b**5)*(2 + 1 - 1).\nAnswer: 11*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 26*b. Let q be p(1). Suppose q = 2*j + 2. Let y be j\/(-16) + 6\/8. Solve y = -4*w - 0*w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20031 (base 9) in base 10?\nAnswer: 13150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12703633 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19028*q**5 - q - 24098.\nAnswer: -380560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 780\/(-65) + 88\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2.8*9093\nAnswer: -25460.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/101 != -87652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 13*d - 2457006 = 16*d, -4*o + 3275996 = 2*d. What is o rounded to the nearest ten thousand?\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, -2, -16, -26, -32, -34?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1764950 divided by 10?\nAnswer: -176495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q + 0 - 1 + 4. Let v be g(-4). Let p(s) = 5*s**2 + s**3 + s**2 + 5*s + s**3 - s**3. Determine p(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 + -8.08. Let j = -11.16 + 0.16. Let s = o - j. Which is the smallest value? (a) s (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 1 - 1)*(k**3 + 0*k**3 + k**3) - 2*k**4 + 6*k - 6*k.\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -34, 183, 518, 977, 1566, 2291?\nAnswer: 3158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 10:15 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quo when three letters picked without replacement from {c: 1, k: 1, u: 1, q: 1, o: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(5)*-2)*-4 - (sqrt(495)\/sqrt(9))\/sqrt(11).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5183 rounded to two decimal places?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 278278482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 31950929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (24 - (4 + 5 - -1)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 2*q**2 + 2*q + 3. Let p be f(-2). Let m(w) = 3*w**2 + 2*w + 1. Let x be m(p). Suppose l + a = 2*l - 10, -64 = -4*l - x*a. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-three eighths of a kilogram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 - 1. Let u(o) be the second derivative of o**4\/6 + o**2\/2 - 3*o - 7. Determine 6*f(l) + 5*u(l).\nAnswer: -2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-1)\/5)\/(3\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -11. Let s = v + 7. Put 2, -4, s in increasing order.\nAnswer: -4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -700 by 5.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1685*u = 1770*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1983 + 1982.8. Which is the second biggest value? (a) h (b) 2\/13 (c) -5 (d) 4 (e) -3\/58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbgggbbbgg. Give prob of picking 1 b and 3 g.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2*(-1)\/10). Let r = -310 + 298. Let x = h - r. Which is the third biggest value? (a) x (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/3 in -2\/877, -8, 2\/5, -18\/7, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 478 divide 48865672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/9 + 224*u\/9 - 2242 = 0.\nAnswer: -171, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/71647 and -67\/818.\nAnswer: 58607246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-11)\/(-4))\/((-2)\/3)*404\/(-3939)\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1. Suppose 8*v + 52 = 92. Let d(w) = w - 2. Calculate v*h(g) - 3*d(g).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(14)\/(sqrt(200) + 1*sqrt(200)) - (-4 + (sqrt(70)\/sqrt(2))\/sqrt(5))).\nAnswer: -19*sqrt(7)\/20 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 + -104. What is the remainder when 56 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -840130 + 1393439. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -14. Suppose 19 = x + 4*x + 3*f, -f + l = -x. Suppose -3*m + m = 3*d - 119, -x*m = -5*d + 193. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 6:03 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*t + 3*k - 2*k - 55 = -354*t, -5*k - 25 = 0 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1324076 is divided by 441326?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 57209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186\/(-27776)*16*(-10)\/35.\nAnswer: 3\/98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22662599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 8\/5)\/(38\/(-190)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.99 + 1. Let s = r + -0.41. What is s rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + a. Let k(q) = 3*q**2 - 10*q + 1. Let z(j) = -2*b(j) - k(j). Calculate z(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369 = -47*t + 477 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one sixteenth of a millisecond?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5295 is divided by 875?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from {q: 2, b: 1, p: 1, c: 1, v: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 234253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - (15 + -14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19831 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1 - -1) + 2 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 9008349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23288392, -46576781, -69865170, -93153559?\n\"Answer: -23288389*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 b, and 1 s when four letters picked without replacement from {b: 5, s: 1, d: 1, e: 1, y: 1}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.69836 millilitres in litres?\nAnswer: 0.03969836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -109\/22 (b) 1 (c) -5 (d) 3 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 2. Let z = 16 + d. Suppose 8 - 2 = -2*w, 0 = 4*i + z*w - 499. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010000110011111100001111 + 11?\nAnswer: -10010000110011111100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04026 - 2048.95974. Let u = z - -2048.998859. Round u to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 12*i**2 - 42*i + 21. What is f(-15)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n - n - 21*n - 5*n.\nAnswer: -34*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - s - 339. Let q be u(-18). Suppose -v + 3*p - q = 0, v + 9*p - 6*p = 9. Solve -v*d + 2*b + b = -12, -d = -3*b - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 193*r**6\/6 + 35*r**3 - 164. What is the third derivative of v(f) wrt f?\nAnswer: 11580*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 23943 = 31*u. Let o(q) = 1041 - u + 2*q. Let f(m) = -94*m. Calculate f(o(b)).\nAnswer: -188*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1117 divide 537576356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-5 - 11) + (-5 - -11) + 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 988011 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 51139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 341a4 (base 13) in base 7?\nAnswer: 543211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 20 = k, -3*k - 4 = l - 22. Let u(g) = k + 5 - 3 - g**3 - 3 - 6*g**2. Is 20 a factor of u(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 + 206. List the prime factors of y.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -80, -79, -78, -77?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 22198*h - 1214840.\nAnswer: -2*(h + 55)*(h + 11044)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2517*g**3 - 2*g**2 - 3269*g**3 - 4593*g**3 - 1758*g**3 + 407*g**3.\nAnswer: -11730*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*u = 10*u + 42 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700415126?\nAnswer: 2, 19, 199, 92623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -157 - -337. Calculate the remainder when d is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 2*z**2 + 4*z + 6. Let u be h(-3). Suppose -2*q - u + 15 = 0. What are the prime factors of 86\/q - 2\/(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -19.8 less than 216?\nAnswer: 235.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 21*v - 10. Let l(k) = -k + 10 - 8*k - 12*k. Let c(i) = -2*l(i) - 3*t(i). Is c(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 5*y + 49, -45 = -4*v - 5*y + 76. Is (21\/(-2))\/((-9)\/v) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 20 = 8276. Calculate the remainder when x is divided by 99.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -617 + 955 + 1354 = 10*o + 26*o for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101001 + 1?\nAnswer: -1000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -2 (c) 0.4 (d) -0.0481 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2\/3 + 34*a\/3 - 320 = 0. Calculate a.\nAnswer: -32, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -28. What is the tens digit of (u\/15)\/((-4)\/(-10))*74?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010 - -10001?\nAnswer: 101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288766 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v, -5*v + 12*v = 23*u + 3*v - v + 77 + 107 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 10652413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1091 - -508. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48.2 - -65. Let v = c + -17. Let s = -3 - -3.5. Put 0.4, v, s in decreasing order.\nAnswer: s, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20314554*c**2*t**2 - 1476*c**2 - 11*c*t + 176*t wrt t?\nAnswer: 40629108*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 30*p - 108 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44149, -44105, -43979, -43729, -43313?\nAnswer: -42689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 0*w**3 - 3 + 1\/6*w**2 + 0*w - 1\/12*w**4. Factor x(c).\nAnswer: -c*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39458350 rounded to the nearest one hundred thousand?\nAnswer: 39500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)\/((i*i\/(i**(4\/5)*i*i))\/i)*i**1\/(i\/(i**10\/i)))**(1\/3) assuming i is positive.\nAnswer: i**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 7*i**2 + 9*i + 17. Let c = -19 + 54. What is the remainder when c is divided by t(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 942 - 1895 + 953 - 1320*i + 5*i**3 - 1315*i**2.\nAnswer: 5*i*(i - 264)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l + 0 + 8*l**2 + 1 - l**3 - 2. Suppose -3*w + 49 = 5*g, 6*g = -w + 2*g + 28. What is the units digit of k(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.1. Let j = 12.81 - -0.19. Let t = j + -14. What is the closest to f in t, -2\/3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, b: 9, p: 7}. Give prob of sequence bpb.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.58 times 142?\nAnswer: 366.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -521000454 (base 6) in base 16?\nAnswer: -8966f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1296\/671 + 18\/61. Sort r, 3\/7, 2, 1\/4 in decreasing order.\nAnswer: 2, 3\/7, 1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17250*l**3*v + 392*l**3 + 3*l**2*v - 18242*l*v + 2*l + v wrt l.\nAnswer: 103500*v + 2352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 11:24 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + v + 3*v)*(3*v - v + v) + (v**2 - 4*v + 4*v)*(-8 + 1 - 3).\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58021\/22 + -2634. Let n = -76\/87 + -887\/58. Find the common denominator of n and k.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2067444 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 5260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -333.71 and -0.5847.\nAnswer: -334.2947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/2 and 19\/33202663.\nAnswer: 66405326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2092293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5 - 5 + 2*y + 13*y + 0*y. Let h(u) = 2*u**2 + 3*u + 1. Let b be h(-2). What is the units digit of z(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6914 a factor of 76261420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 h when two letters picked without replacement from {h: 5, c: 2, a: 6}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (624 + 204 + 73 + 33)*(11*o - 7*o + 13*o) in the form y*o + a and give y.\nAnswer: 15878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134 and 104?\nAnswer: 6968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -20. Suppose -23 = 4*g + 2*w - 1, 3*g + w + 18 = l. Sort g, 5, -5.\nAnswer: g, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46169487 and 2147418?\nAnswer: 92338974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/35 - 564\/(-70).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3\/21 + 116*y**2\/3 + 8690*y\/21 = 0. What is y?\nAnswer: -395, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 330 + -210. Suppose n + 114 = 9*j. Solve -4*k + j = -5*t, -9 = -4*k - t + 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, 28, 5, 3 in increasing order.\nAnswer: -9, 1, 3, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4)*(-4)\/3. Let b be 2\/1 - (n - 51). What is the greatest common divisor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 11*r**2 + 8*r - 8. Let w be q(12). Let u be (-2)\/3 + w\/(-12). Which is the biggest value? (a) 3 (b) u (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -442 or -247017\/560?\nAnswer: -442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 86158?\nAnswer: -86158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 99, 95, 91, 87, 83?\n\"Answer: -4*h + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 5:22 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20106 in -0.5, 4, 99?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 29. Differentiate -26*w + 16 - 27*w + 53*w + d*w**4 wrt w.\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + t + t)*(217*t - 14*t**2 - 249*t + 10*t**2) to k*t**3 + x*t**2 + c + g*t and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2\/39)\/(4\/(-13))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 1 (c) 46\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**5 + 670*d**4 - 18768*d**3 + 35522*d**2 - 17425*d = 0.\nAnswer: -697, 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2 - -5) + (32 - 32).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 14) to base 2.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000718414?\nAnswer: 2, 2017, 248071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqbqbb. Give prob of sequence qbq.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13682 divided by -1906.\nAnswer: 6841\/953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9*h - 5. Let w(f) = 17*f + 11. Give -5*g(i) - 2*w(i).\nAnswer: 11*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 28*c + 119. Let w be p(27). What is the greatest common divisor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -55*z**3 - z**2 - 13*z - 21. Let s(y) = -53*y**3 - y**2 - 11*y - 18. Give -5*l(h) + 6*s(h).\nAnswer: -43*h**3 - h**2 - h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {w: 14, h: 4}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-342)\/30)\/(2\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/701, -2\/11, -1\/8, 1, 0 in increasing order.\nAnswer: -2\/11, -1\/8, -2\/701, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260 and 2040265760?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20993061 a multiple of 666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(4\/(272\/(-6))). Calculate the highest common factor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 416559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5816.4 + 5816. Which is the smallest value? (a) g (b) -2 (c) 17 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.3963951 rounded to two decimal places?\nAnswer: -101.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -20, 4, -7 in ascending order.\nAnswer: -20, -7, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.940718.\nAnswer: -3.762872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebzz when four letters picked without replacement from {e: 1, z: 3, b: 2, k: 2, x: 2, o: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 9*z + 1. Let m(t) = 4*t. Let u = -83 + 86. Calculate u*v(y) - 7*m(y).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2320, -9021, -20188, -35821?\n\"Answer: -2233*g**2 - 2*g - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4669 rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.20291 to three dps.\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1542 + 0.1.\nAnswer: 0.2542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 7*v**2 - 4*v - 6. Suppose -9 = d - 0. Let m = -16 - d. What is the tens digit of f(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9178420 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 15 - 22 - p. Determine f(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 27 = -2*i - 5*l, 4*i - 18 = -2*l. Let h(d) = d**3 - 4*d**2 - 21*d + 10. What are the prime factors of h(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r + 7. Let z be h(2). Is 20 a factor of 10\/4*(-46)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5483 + 5485. Let w = -0.9 - -0.85. Let x = 4.95 - w. Which is the third biggest value? (a) -5 (b) x (c) 4 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 1. Let r be a(-4). Suppose -5*t + 4*z + r = 0, 0*t + 4*z = -5*t + 27. Let y(u) = u**3 - 4*u**2 - 3. What is y(t)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -34. What is the smallest value in 4, t, 1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 8 - 7. Let h be t\/(2 + (-60)\/28). Which is smaller: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**(-6\/5)*r))*r**(-16)*r*r**17\/r**10)**(-2\/37) assuming r is positive.\nAnswer: r**(82\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/4 + 192003*s**2\/4 - 195376065*s\/4 + 50104450425\/4.\nAnswer: -3*(s - 62971)*(s - 515)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 413951\/810359 + -41\/3203. Let l = 74257\/759 + i. Let p = -98 + l. Which is the biggest value? (a) 4\/7 (b) p (c) -1\/12 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 8:03 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 35. Find the second derivative of -2 + 2*q - 41*q**t - 3 - 4*q**3 + 3 wrt q.\nAnswer: -270*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3857594.02 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9f - -2?\nAnswer: -9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1046*n**3*o**2 + 64587*n**3*o - 47*n**2*o**2 + o**5 - 23*o wrt o.\nAnswer: 2092*n**3 - 94*n**2 + 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2262299577?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -69 and 15.\nAnswer: -1035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 5. Let f = 8 - 9. Let l be -1*(f - -1)*-1. Give s(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, s: 9}. What is prob of picking 2 d and 1 s?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29569 less than 499996?\nAnswer: 499995.70431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -75 * 0.2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 0.01.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 b, and 1 l when three letters picked without replacement from alhuubuubuuablbhulbu.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from {z: 1, s: 9, o: 1, v: 5}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 7*l + 8. Calculate the remainder when 15 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbqqqqbqbqbqqqqqqqq. What is prob of picking 1 b and 1 q?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 113705 minus -94764.2?\nAnswer: 208469.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 4*y - 10 = j, 0 = -5*j - y + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**6\/420 + l**5\/14 - 11*l**4\/28 + 17*l**3\/21 - 566*l**2. Factor k(v).\nAnswer: 2*(v - 1)**2*(v + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 = -5. Suppose i + 12 = m*i. Suppose -i = -2*a + 3. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m - 21 = 4*k, 0 = 5*m + k - 26. Let o(q) = q + 1. What is the units digit of o(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-60)*((-2)\/20*4)\/(34888\/(-9800)).\nAnswer: -6\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 0*o - 5\/12*o**4 + 0*o**6 + 0*o**5 + 3\/70*o**7 + 11*o**2 + 0 + 0*o**3. What is the second derivative of s(u) wrt u?\nAnswer: 108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 48.5, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3\/902, -1\/2, 9, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 68 (b) 35 (c) 0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 2:07 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 2*f + 4*m - 4, 5*f = -3*m + 19. Let s(b) = b**3 + 11*b**2 - b - 9. Let l be s(-11). Solve -l*o - 8 = f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6) + (-56)\/(-12). Let l be (130\/4)\/(m\/8). Let h = l - 32. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -2. Let y = -27 - -29. Let o(n) = -z*n - n**y + 2*n**2 + 12*n. Let r(m) = -3*m**2. Determine o(r(p)).\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 18476 (base 10) to base 9\nAnswer: 27308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*p - 31*p - 20 - 2 - 30 + 11 - 13*p.\nAnswer: p - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, v: 2}. Give prob of sequence vvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**4 - 87*r**3 - 311*r**2 - 321*r - 108. Let s(p) = 2*p**4 - 3*p**3 - p**2. Let x(g) = -h(g) - 4*s(g). Let x(w) = 0. What is w?\nAnswer: -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + (-6)\/(-2) + -6. Solve -k*i = -0*i - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*1*2)\/((sqrt(96) - 1*sqrt(96)) + sqrt(96))*1 + 2*(sqrt(1573) + -1)*6 + 4.\nAnswer: -8 + 265*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 209 - 49*u + 200 + 206 - 629 - 7*u as d*u + z and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55 - -5?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k + 8. Let b = -10 - -3. Let j be l(b). Calculate the remainder when 29 is divided by j*(1 - 14\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(2) + sqrt(128))*-1.\nAnswer: -sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -14*k. Suppose -4*n + 12 = 4*a - 3*a, -3*a + 100 = -4*n. Suppose a*d - 7 = 21*d. Calculate y(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 13\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1148c - -3?\nAnswer: -11489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 577*y**2. Let f(x) = x. Calculate l(f(g)).\nAnswer: 577*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 18*h - 20. Let t = 42 + -17. Suppose 28 = i + t. Solve h*g = i*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - -176563?\nAnswer: 176555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 54*s**2 + 153*s + 25. Let u be r(-51). Factor 53*o + 65*o**2 - u*o**3 - 61*o - 32*o.\nAnswer: -5*o*(o - 1)*(5*o - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.93 + -52273646.\nAnswer: -52273672.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 3. Let l(q) be the second derivative of -13*q**3\/3 + q**2\/2 - 756*q. Calculate l(a).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.267419 to 3 decimal places.\nAnswer: -0.267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12448 and 466016?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 59780745 (b) 1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 4. Let t be d\/(-2) - (-1 + -5). Suppose -6 = h - t*h. What is the remainder when h is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 20*l**3 + 95*l**2 - 51*l - 142. Give t(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 466108534?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8804536 (base 9) to base 5\nAnswer: 2202233044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.682 - 181065.\nAnswer: -181085.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189 + 61*k - 45 - 79 + 167*k - 113*k.\nAnswer: 115*k - 313","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1464643308.999161 - -1464645359. Let w = t + -2050. What is w rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(98) - -6*(sqrt(98)*-1 + sqrt(98)))**2 - (4 + sqrt(98) + 2)) + 3) + -5.\nAnswer: -14*sqrt(2) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -548743, -1097443, -1646113, -2194753, -2743363?\nAnswer: -3291943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -64 and 1.048.\nAnswer: -67.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43.13 - -43.1302743. What is j rounded to six dps?\nAnswer: 0.000274","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**7\/2520 + k**6\/144 - k**5\/30 - 13*k**4\/12 - 39*k. Let q(t) be the third derivative of p(t). Factor q(w).\nAnswer: -(w - 4)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/9 - 20\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3202 - -3199. Let l = 0.6 + -1. Which is the third smallest value? (a) l (b) 0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = 5*p, 5*h = p + 56. Calculate the highest common factor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1607829118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 4, 3, -16 in descending order.\nAnswer: 23, 4, 3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 1 - 1)*(0 + 2 - 4)*(-2*z**2 - 5*z**2 + 4*z**2)*(0*z - 3*z + 2*z).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -183 (base 9) to base 14.\nAnswer: -b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379*k = 385*k - 246. Calculate the remainder when 318 is divided by k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 220\/35 - 2\/7. Let f(a) = -a + 1 + 10 - m. Let g = 4 + -4. Determine f(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(4*(-4)\/64).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42548905 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-6 - (-15 + 6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -3 (b) 2\/7 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/572 and 79\/728?\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 75935, -0.16, 3\/2 in descending order.\nAnswer: 75935, 3\/2, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1257, -2514, -3771, -5028, -6285, -7542?\n\"Answer: -1257*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1056\/(-384) - 10\/(-8))*(-42)\/27?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320444?\nAnswer: 2, 80111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*122\nAnswer: 36.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-11) + (-92)\/(-22). Calculate the remainder when (-6)\/12 - (-114)\/j is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1305*x - x**3 - 70*x**2 + 2658*x + 60 - 1242*x + 17*x**2. Give f(-55).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 - -88. Let o(v) = 11 + 2*v**2 - 19 + m - 2*v. Calculate o(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 2*h + 1. Let y(x) = 9*x**2 - 12*x - 20. Determine -6*j(m) - y(m).\nAnswer: -3*m**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 620\/(-180))\/(-2*(-6)\/(-9))\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -d. Let r = 0.1 - 0.6. Let u = r - -1.5. Which is smaller: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 11:53 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6098 + 15013. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 - 28*p**3 - 36*p + 17*p - 37*p - 132 + p.\nAnswer: -28*p**3 - 55*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21, -1, 3, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4417 + -0.6017. Which is the nearest to 26? (a) w (b) -10 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28691432 and 517.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 6*s + 81. Let t be h(12). Let d be 6450\/(-20)*(-12)\/t. What is the greatest common divisor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b + 44*b**2 - 15*b + 9*b as w*b**2 + h + u*b and give w.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*s - 20*s - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8)*p)\/p**(-1\/6)*(p*(p*p*p\/(((p**4*p)\/p*p)\/p))\/p)**(-32) assuming p is positive.\nAnswer: p**(151\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*m + 46*m = 990. Suppose -4*k - 658 = 2*c, 4*c = -3*k - k - 656. Let g be ((-10)\/3)\/(10\/k). What is the greatest common divisor of g and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -914 * 1962.\nAnswer: -1793268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 6*s**2 + 10*s - 19. Give u(6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4133*g**2*y - 388*g*l*y + 3*l*y + 23*l - 4*y + 1748 wrt g?\nAnswer: -8266*g*y - 388*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-74)\/((-25)\/(3250\/20)) is divided by 63?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 3*q - 2*q)*(0 - 2 + 8)*(-1 + 1 - q) + (-6 + 3 + 2)*(-6*q**2 + q**2 + 2*q**2) - 2*q + 2*q + q**2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 10:30 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4198 = -3*u + 11962. List the prime factors of u.\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-300)\/1080*(-2)\/(-21)*25\/125\nAnswer: -1\/189","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28.1 and -8322296769.\nAnswer: -8322296740.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -17022*k + 85135. Determine g(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-1 + -1 - -29)\/(5\/95)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249336853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138888 and 4032?\nAnswer: 7777728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -10 - 20863\/1736?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -15. Suppose 11 = 5*h - 0*r - r, -2*r = 2. Let a be h*-14*1\/f. Solve -3*g + 1 = a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -143*k**6\/30 - 255*k**2 + 33*k. What is the derivative of l(t) wrt t?\nAnswer: -572*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -720 + 1031. Let x = r + -179. List the prime factors of 0 + 1 + (x - -11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43606 - 43594)*((-1)\/3)\/(1\/7).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19512 - -20425. What is the greatest common divisor of v and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 3822070271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**3 + s**2 + 2*s. Let k be x(-3). Suppose -5*z + 1206 = k. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21602 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2317.89 - 2306.89052. Let s = m + -11. What is s rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1006*j**2 - 1428*j - 6. Is t(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3680)\/360 + 6\/27\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -49 and -3.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 2*x = -28. Let f = x + -11. Let m = 6 + f. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -5 (b) 231.4 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 10:47 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -730*m**2 + 238*m**2 + 253*m**2 + 254*m**2.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4546827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -5, 5, -4, 2.\nAnswer: -5, -4, 2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h - 7. Let m(f) = -4*f - 7. Calculate 6*m(k) - 5*y(k).\nAnswer: 6*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 43913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-12)\/(-2)))\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 33881 + 33881.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 smaller than 215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -284, -722, -1452, -2474?\n\"Answer: -146*s**2 - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**7\/4200 - p**6\/1800 - p**5\/600 + 5*p**4\/12 + 25*p. Let z(k) be the third derivative of h(k). Factor z(u).\nAnswer: (u - 1)*(3*u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14027391?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/5 - 24*o**2 - 360*o.\nAnswer: -2*o*(o + 30)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h*i**3*t + 4*h*i**3 - h*i - h + 7*i**3*t + 92*i**2*t - 23 wrt t?\nAnswer: 2*h*i**3 + 7*i**3 + 92*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901864579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 348480, 348301, 348122, 347943, 347764, 347585?\n\"Answer: -179*y + 348659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 988733636?\nAnswer: 2, 11, 233, 96443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*j = -82399 + 83439 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.75 - -7.75. Suppose 3*r = -0*r + 3. Which is the closest to -4? (a) r (b) q (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 16 = 3*x. Let n = -0.01 - -1.01. Let c be ((-8)\/(-6)*3)\/1. What is the nearest to c in x, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 422210\/17 + -24836. Which is the closest to 2\/17? (a) -0.4 (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2*(-1)\/(-1))\/(-3 - -2). Calculate the lowest common multiple of (-26)\/(-13)*(-5)\/n and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6893 + 9336. What are the prime factors of f?\nAnswer: 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than 30.3?\nAnswer: 27.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -26*i**2. Let q(n) = -2*n**2 + 4971*n - 10. Determine q(v(x)).\nAnswer: -1352*x**4 - 129246*x**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 less than or equal to 136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n - 7*n + 5*n - 1 + 28*n in the form o*n + g and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97*c**2 - 279*c**2 - 10*c + 29*c + 95*c**2 + 89*c**2 to w + z*c**2 + n*c and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1685728\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 3*p**3 + 0*p**3)*(2 + 0 + 1)*(0*p + 2*p**2 + 0*p).\nAnswer: 12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49719 = 58*x - 365877. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-3))\/((-20685)\/(-210)).\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -6. Let c = 82.4 - 82.4. What is the nearest to 1 in -3\/8, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4850 and 3050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44876 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 119 - 115 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 + q**3 - 2*q**2 + (-2*q**2 - 4*q**2 - q**2)*(3 - 3 - q) + 3*q**3 + 2*q**3 - 3*q**3 + 115*q**3 + 101*q**3 - 51*q**3.\nAnswer: 175*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -493.00162 - -493. What is k rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1350 + -1382. Does -44 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3729 + 3715.115. Round z to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 228*z - 231*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/463, -266.1, 2\/15?\nAnswer: 6\/463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 4:51 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h*t**4 + 29001*h*t**2 - 5*h*t - 6377804*t**5 + 8*t**2 wrt t.\nAnswer: -48*h*t - 382668240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -166, -154, -148, -148, -154, -166?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 255 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-5)*m))**(-47))**(-3\/26) assuming m is positive.\nAnswer: m**(-423\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -372a471 (base 11) in base 4?\nAnswer: -120233103022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -12. Let n be 4\/18 - 32\/(-18). Suppose 18 = n*o - 0. Solve u*l = l - o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11024203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 3:40 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -0.3. Let s be (-3 - -3) + (-432)\/(-1938) - 48\/408. Let y = 0.18 + -0.3. Put h, y, s, 5 in ascending order.\nAnswer: h, y, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (-51)\/9) + (-16)\/24. Let z(l) = 78*l + 25. Let b(c) = 5 + 5 + 52*c + 7. Let s(n) = a*b(n) - 5*z(n). Differentiate s(y) wrt y.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1760 divide 20862232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aza when three letters picked without replacement from aazzzaazazaaaaaaza.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 612050.4618 and 0.1.\nAnswer: 612050.5618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36111713?\nAnswer: 11, 73, 44971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -43. Suppose 6 = n + 2*n. Let c(m) = -4*m**2 - 1 + 7*m + 6*m**n - 3*m**2. Determine c(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(3\/15)\/(0 - -2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + -6 - (36 - 44) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1491018084 to six decimal places.\nAnswer: 0.149102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 48783, 97568, 146353, 195138, 243923, 292708?\n\"Answer: 48785*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7326 - -7351. What is the remainder when 65 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3*n = -47, 5*z - 37 = 2*z + 3*n + 14*n for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -95, 6, -5, -1268, 7?\nAnswer: -1268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 6*v**2 - 16*v + 5. Let f be z(8). Solve 0 = 5*u - 0 - f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5*(-1 + 2))\/(-1). Let m be (-5 - 0)*(-48)\/g. What is the common denominator of -2*(-2)\/(m\/(-254)) and 8\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -23. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 1 = 21. Suppose -4*w = -w - 12. Find the second derivative of 0*s**4 + s + s - w*s**n wrt s.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n**2 + 58*n - 4. Determine g(-12).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 19*y + 35. Let c be h(17). Let r = -2.96 - 227.04. Let q = -233 - r. What is the closest to c in q, 0.3, -1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 + 423*z + 18. Calculate w(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-8)*1*(2 - 4). Let l be (f - (2 + -4))*1\/1. Suppose -5 = -l*w + 4. Solve -s + 17 = 5*c - 0*s, -c - 5 = w*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(((-15)\/12)\/((-32)\/((-1792)\/(-84))))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.8 (b) -0.3 (c) 100829 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2039219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -244 - -2079. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 + 6*r**3 - 5*r**3 - 2*r - r**3 + 2*r + (2 + 1 + 0)*(3*r**3 + 2*r**3 - 3*r**3) + 92*r**3 + 142*r**3 - 116*r**3.\nAnswer: 124*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1168767\/7 + 166967. Factor -s + 2\/7*k**2 + 2\/7*k**3 - 2\/7*k.\nAnswer: 2*(k - 1)*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5445149 by -577.\nAnswer: 9437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7.7 (b) -0.005 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 66, 128, 188, 246, 302, 356, 408?\n\"Answer: -t**2 + 65*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224194 is divided by 90?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 17*j - 10. Let n(s) = 8 + 0*s + 6*s + s**2 + 0 + 4*s**2. Calculate the smallest common multiple of n(-4) and c(-10).\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8838*a*l**2 + 384852*a - 80*l + 3 wrt l.\nAnswer: -17676*a*l - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 8*q**2 - 4*q - 23. Give t(8).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 98 + (14\/(-42))\/((-1)\/(-9)). Let c = 99 - r. Find the third derivative of -12*s**c - 13*s**4 - 6*s**4 + 3*s**2 + 2*s**4 wrt s.\nAnswer: -696*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 31.74. Let h = x - -0.25969. Round h to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0\/s)**50\/(s\/s**(-2\/5))**39 assuming s is positive.\nAnswer: s**(-523\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1044\/648 - 3\/27)\/(15\/(-220)). Sort 30, x, 1, 5.\nAnswer: x, 1, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmimi.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8939*f**3*k**2 + 119*f**2*k**2 - 69*f**2 wrt f?\nAnswer: -53634*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-3)\/(-18))\/(((-500)\/225)\/4).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 270 + 55. Let f = s + 138. List the prime factors of f.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.167638 or 34\/13?\nAnswer: 34\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4221.\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 1:39 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 314732946 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: b\"What is the nth term of 2129, 4258, 6387, 8516, 10645?\n\"Answer: 2129*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 - 81. Suppose -5*k = 4*a - 98, 0 = -k + 2*a - 1 + 15. Let v be 9\/(k\/4) + 0. Solve 5*q = -d*y + 2, -8 = -y + 3*q + v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3172 = -33723*x + 33845*x for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(612) + 3) - (sqrt(612) + 1*(-2*sqrt(612) + sqrt(612)) - sqrt(612))) + 2)**2.\nAnswer: 168*sqrt(17) + 2497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3671627 is divided by 1860.\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - x + 16 = 0, 5 + 6 = -3*q + 2*x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r + 0*r + 8*r - 39 + 4*r - 3*r in the form h + q*r and give h.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/(-3) - (-1801 - -1768)\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230010030 + -11?\nAnswer: -230010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70840967 + 13*z - 70840967.\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/105)\/((-6)\/10).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 times 8217?\nAnswer: 246510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 191 and 148278457.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 16 = 2*n, 3*x + 0*x = -5*n + 8. Suppose 0 = n*i - 6 - 2. Suppose -i*c - 46 = -190. Does 24 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6816)\/(-28))\/((3\/(-7))\/3). Is w bigger than -1705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 78\/(-90))*(-27)\/(-6).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1.7.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 8:20 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.0651 + 105383.9?\nAnswer: 105376.8349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7*k**2 + 11*k - 7. Let g(f) = f**2. Let x(n) = c(n) + 5*g(n). Let a be 20\/(-230) + 497\/161. What is the tens digit of x(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 465000 or 464998?\nAnswer: 465000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 = -14*k + 108 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddddddddddddddeddd.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1069*f**4*n - f**4*u**2 - f**3*u - 3*f**2*n*u**2 + 2*f**2*n - f**2*u**2 - 146*f**2*u + f*u**2 wrt f?\nAnswer: 25656*f*n - 24*f*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 10:31 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) 0.06 (b) 0.5 (c) 4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -7 + 11 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/4)\/(2\/(-40)). Suppose -47 = -0*z - 2*z + j*w, 0 = 3*z + w - 96. Let l = z - 30. Solve 2*a - 5 = l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4294)\/(-11970) + (-36)\/81.\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmvddpum. What is prob of sequence vup?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10385\/6 - 1731. What is the closest to 3 in 3, -122, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*a + 26 = -15*a - 2*n, -4*a = -n - 23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -89*l - 14 - 174 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -5*b - 0*s + 1, s - 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4 = 5*k - 12, 4 = 5*k - h. Solve k = 6*t + 5 + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00035506783 to five dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**4*j - 492452*f**3*j**2 + 6*f**2*j**2 - f**2 + 988*j**2 - 2*j wrt f.\nAnswer: 24*f*j - 2954712*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.8? (a) -0.3 (b) 9 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 6:17 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -3 + 0 + 4. Suppose 5*y - 2*w - 15 = 0, -2*y - s*w + 2 = -4. What is the nearest to -1 in y, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**3\/3 - 3*j**2 - 15*j. Let x be b(-6). Suppose 9*t - 3*t - x = 0. Is t greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 16) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, q: 16}. What is prob of picking 1 x and 3 q?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 + 38*g + 5*g - 8*g to k + y*g**3 + n*g**2 + b*g and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -66, -67, -52, -15, 50, 149, 288, 473?\n\"Answer: q**3 + 2*q**2 - 14*q - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64538 is divided by 21460.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -17*x + 6. Let l(f) = -3*f. Let v(q) = 5*l(q) - r(q). What is v(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3131 = -3*s, 1057 = s - g + 12. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -804 + -1?\nAnswer: -805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 96*c**4 + c**4 + 93*c**4 - 5*c + 3*c**3 to the form i + q*c**4 + a*c + p*c**2 + h*c**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b + 6. Let w be (-2176)\/(-1408) - 12\/22. Calculate l(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 482 - 143. Suppose -h - 2*r = -7*r - 10, 5*r + 20 = 3*h. Suppose 3*f + 2*x + j = 384, 0 = -h*f - 4*x + 453. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/1433?\nAnswer: 2\/1433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzmzzzmczn. What is prob of picking 1 m, 2 z, and 1 n?\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105399 by -3.\nAnswer: -35133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 97103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 148569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 1\/20*f**5 + 7*f - 1\/60*f**6 + 1\/4*f**2 + 0 - 1\/6*f**3 + 0*f**4. Factor y(p).\nAnswer: -(p - 1)**3*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 41*h - 167. What is c(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 - 1. Let i(a) = a**2. Let f be (-8)\/4*(-1)\/2. Determine f*k(t) + 2*i(t).\nAnswer: -2*t**3 + 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.4 + 6. Let g = -6219\/5 - -1250. Let j = -6 + g. Put j, 4, i in increasing order.\nAnswer: i, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23349749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -770, -7585, -26450, -63389, -124426, -215585, -342890, -512365?\n\"Answer: -1004*y**3 - y**2 + 216*y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898609653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -18.79.\nAnswer: -19.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -49. Let b be t*(2 - 12\/(-20)). Suppose -5*n + 5*c = 90, 3*c + 13 = -2*n - b. Round n to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d. Let x(q) = -5*q + 42. Let g(a) = -a + 7. Let o(m) = 13*g(m) - 2*x(m). What is o(u(n))?\nAnswer: -3*n + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 1. Let b be n(4). Let t be 69\/21 - 4\/14. What is the derivative of -b*p**3 + 0 + 0 + t wrt p?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 336167658*i**4 + 326*i + 175737?\nAnswer: 4034011896*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 + 20)*(4 + 0 - 3)*(-4*g + 31*g - 12*g)*(3*g - g - g) in the form v*g**2 + d + p*g and give v.\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let w = -331\/5 + 67. Is w at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l - 3*l + 2*l)*(0 - 2 + 1) - 1 + 1 - l - 4*l - 5*l + 4*l + 26*l + 67*l + 54*l)*(2 + 1 - 4) + 7*l + 36 - 36.\nAnswer: -133*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4223 times 3316\nAnswer: -14003468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a**2 + 1. Let m be o(-1). Sort 4, -9, m in ascending order.\nAnswer: -9, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8*4\/(-24)*-3. Let k be (-2387)\/(-33) + s\/(48\/20). Is 75 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 6 = 2*m. Let q be ((-2)\/m)\/(50\/(-15)). Let u = 8631 - 8631. Which is smaller: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) -1.8 (c) 1667 (d) 1\/3 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 10*a**2 - 2*a + 21. Let q be l(10). Suppose -r - f + 763 = 0, 3*f + q + 11 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5.0927, -1, 2\/7.\nAnswer: -5.0927, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 642 (base 12) to base 15.\nAnswer: 40e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 9*l + 6. Let j(x) = -3*x - 2. Suppose -32 = -8*i + 4*i. Let w = -4 + i. Determine w*v(u) + 11*j(u).\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -0.28718.\nAnswer: -1.28718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 191, 165, 119, 53, -33?\n\"Answer: -10*s**2 + 4*s + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.106? (a) -0.1 (b) 0.1 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629569.\nAnswer: 629569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.3868 + 70.3906. Let y = 50 - l. Round y to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12630871*d*f + 3157851*d wrt f?\nAnswer: -12630871*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 9 - 7 - 20*b**2 + 22*b**2 + 13 - 21*b. What is the units digit of w(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2794 - 1283*t**2 - 3557 + 1281*t**2 - 5179*t with respect to t.\nAnswer: -4*t - 5179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18, 23, 30, 39?\n\"Answer: u**2 + 2*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 5*x + 0*x)*(1148 - 761 - 561) - 7*x - 5*x + 6*x + (4 + 0 - 3)*(x + 3*x - 2*x) + 2 - 2 - x.\nAnswer: -353*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 3*s**2 + 109*s - 419. Let b be t(4). Let v(n) = 3*n + 8. Determine v(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**7\/27720 - b**6\/180 + 11*b**5\/30 - 91*b**4\/12 - b + 40. Let p(v) be the third derivative of h(v). Factor p(o).\nAnswer: (o - 22)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from weksimw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-6) - (-6)\/(-9). Suppose 2*i = -2*n - 4 + 2, -1 = 2*i + 3*n. Let y be (i\/36)\/(4\/16). Which is the closest to y? (a) s (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a (base 13) in base 16?\nAnswer: -da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*l - 15, 2*l + 65 = 5*o - 34. Suppose 2*u - 4 = 4. What is the derivative of 2*m**4 - 53 + 44 - o*m**u wrt m?\nAnswer: -76*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5487 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2609*j - 2608*j + p - 52 = 0, 1491 = -2*j + 27*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37548 is divided by 604.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 - 0.38. Let s be 2\/(-14)*-1*-4. Let l be (-3)\/3 + 9\/12. What is the nearest to 2\/7 in r, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004367 rounded to seven dps?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 1244*o**2 - 48672*o - 449712.\nAnswer: 4*(o - 347)*(o + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 620333 and 70.\nAnswer: 6203330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18578654, -18578653, -18578652, -18578651?\n\"Answer: x - 18578655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -250624?\nAnswer: 250621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 88 times 25798\nAnswer: 2270224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -17597.66861 minus -0.11?\nAnswer: -17597.55861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from fgfggggggpggfggg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43, 49, 59, 73, 91, 113?\n\"Answer: 2*q**2 + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 166, -0.5, 24, -0.4?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*m - 5*i, -3*i = 4*m - 1 - 22. Let j(g) = 3*g**2 + 7*g - 11. Let s be j(m). What is the highest common divisor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 - 87. Let q(v) be the second derivative of -v**5\/20 - v**4\/3 + v**3\/2 - 2*v**2 - 16*v. Give q(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3443551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1, -2\/13, 6.2, -5, 0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8181 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -994 divided by 1\nAnswer: -994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-23 - -40) + -29.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31369 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkaoakfaofrr. Give prob of sequence kf.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.758 and 12101?\nAnswer: 9172.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.83431588 to zero decimal places.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17 - 38 - 12*r**2 + 21 - 9*r**4 wrt r?\nAnswer: -216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -94, -136, -198, -286, -406, -564, -766?\nAnswer: -1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*p + 5, p - 3*j = -0*p - 9. Let h = 9 - 6. What is the remainder when (4 + 1)*p\/h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/8 - 31\/(-120). Let o = -4\/45 - n. Let l = 3 + -6. What is the second biggest value in o, 5, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 4, w: 1, m: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 7*i. Let a be (-3)\/15 - ((-58)\/(-10) - 3). Put a, i, 0.3 in descending order.\nAnswer: 0.3, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-12)*(-690)\/115)\/(5\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -242.2 + 242. What is the closest to 0.1 in -3, 1\/4, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678414.\nAnswer: 2, 3, 11, 19, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1242, 2518, 3820, 5148?\n\"Answer: 13*b**2 + 1237*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 32 (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 77016?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2515330 rounded to the nearest 10000?\nAnswer: -2520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 16. Which is the biggest value? (a) g (b) 1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 308 = 7*h - 4*b, 2*h = 3*b + 307. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101 + -7. Let h = a + -102.12. What is h rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 7.94. Which is the nearest to -2\/3? (a) 1 (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -221334\/29 or -7631?\nAnswer: -221334\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 z when three letters picked without replacement from vzzvvzzvzvvvzvvz.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2\/59, 2150, -19, 0, -1 in decreasing order.\nAnswer: 2150, 0, -2\/59, -1\/4, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 0.37?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 308630433 to the power of 1\/2, to the nearest integer?\nAnswer: 17568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 12 = 54. Let u = f + -101\/3. Let q = 194817\/4 + -48704. Which is the closest to q? (a) u (b) -0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a = -86*a + 27522. Let t = -395 + a. Calculate the highest common divisor of t and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 36. Let u be (6\/(-5))\/(v\/20). Let h(w) = -w**3 + 8*w**2 + w + 2. What is h(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*1\/(-2) - 3\/1. Suppose k*y = -10, 3*y + 1 = -0*d - 2*d. Let p be (0\/d)\/(1 - 0). Solve 5*i - 2*l = 3*l + 5, -2*i + 5*l - 1 = p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-13)\/(-13) - 21\/(-1) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 744647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -88 + 91, 5*c - 2489800 = 5*j. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102664531 (base 7) to base 10.\nAnswer: 6116986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 102648*q - 205280.\nAnswer: -4*(q - 25660)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 44. Suppose q*u = 24 + 46. Which is greater: u or 13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 130 = -3*w, w = x - 4*x + 38. Let r(l) = -l**2 + 53*l - 504. Let i be r(39). Let p = w - i. What is the smallest common multiple of p and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3915 = 81*t + 62*t for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7979*a**2 - 45400*a**2 - 3815*a**2 + 6680*a**2.\nAnswer: -50514*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i - 24. Let r = 11 + i. Suppose 7*a - 2*a + f - r = 0, -5*f - 1 = a. Solve p - 4*v + 8 = 0, -4 - 4 = -5*p + a*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7288 - -3?\nAnswer: 728b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -43389?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36545 greater than 36545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79766, -159539, -239336, -319163, -399026?\nAnswer: -478931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 2:49 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 403342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2 + 10 - 8 - 4*f. Let g(p) = -10*p. Give g(o(a)).\nAnswer: 40*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -53 (c) -5 (d) 0 (e) 1\/23 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(153)*1 - sqrt(153))\/(sqrt(9) + (sqrt(900) + sqrt(900)*3 - sqrt(9))).\nAnswer: -sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-22)\/1)\/(7\/((-14)\/4)). Solve -4*j + 10 = 3*c - 3, 4*c = j + y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -24. Suppose 2*r + q + 9 = 4*r, 18 = 5*r - q. Factor -2\/3*m**5 - u*m**r - 1\/3*m - 5\/3*m**2 - 7\/3*m**4 + 0.\nAnswer: -m*(m + 1)**3*(2*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, a: 3}. Give prob of sequence aaq.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7879 = -574*q + 731 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 + -1. Let m = -2 + 2.2. Let y = m + d. Which is the closest to -1\/4? (a) -0.3 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (4 + -16 + 19)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.9 + -10. Let m = 14 - 14.9. Let y = f + m. Which is the smallest value? (a) -4\/5 (b) -3\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141142190 a multiple of 395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14829872339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + -15 - (-5 + 1)) + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvugvvgggvuccmvcc. What is prob of picking 1 v, 1 c, and 2 u?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3860281146.\nAnswer: 2, 3, 59, 157, 69457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(5 - (-3 + 5)). Let v(r) = -r**2 + 8*r - 2. What is the remainder when 29 is divided by v(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.54522 years to centuries.\nAnswer: 0.4554522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2237, -3918, -5599?\nAnswer: -7280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.25 - -2.2. Which is the third biggest value? (a) w (b) -3\/2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(2 + (-21)\/28)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122 by -5.\nAnswer: 122\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -4 (c) -0.2 (d) 3\/2 (e) 5.53 (f) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = -u + 12*q - 5, -2*q = 5*u - 15. Let i = -229 - -233. What is the second smallest value in i, -1\/16, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*r - 1719 = 0, 3*d + 3*r + 1715 - 11 = 0. What is the third smallest value in -4\/9, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -17*j. Let r(v) = -v**3 - 2*v**2 + 13*v - 2. Let u be r(-5). Let p(n) = 17*n - u*n**2 + 15*n - 32*n. What is f(p(l))?\nAnswer: 136*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.02008 rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1))**(-2\/97)*(z**(1\/2))**30)**(-1\/18) assuming z is positive.\nAnswer: z**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128788 is divided by 32?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -193, -351, -561, -829?\nAnswer: -1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 16. Let s = k + 34. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 153 and 26418.\nAnswer: 79254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -10\/207?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*x + 144*x + 232*x + 108*x + 2*x.\nAnswer: 791*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-469)\/(-91) - 2\/13. Suppose 3*q - 4*q + 3 = 3*d, -5*q = 2*d + 11. Suppose -3*z + 11 - 1 = -5*o, -d = 5*z + o. Put l, z, 2 in decreasing order.\nAnswer: l, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 554302.48 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 10122033203001?\nAnswer: 10122033203000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -40865 and -2.5045192.\nAnswer: -40867.5045192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6*(2\/6)\/((-96)\/(-64)))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 571458.892 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 331.\nAnswer: -29\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 60. Suppose -n = 3*n - q. Solve -4*h = -n*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 3:26 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41336920 to the nearest integer?\nAnswer: 6429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4034618*z**4 + 64292*z**2 - 101*z?\nAnswer: 96830832*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/8 + 12\/48. Suppose 0 = -b*x + 3*x. Suppose 7 = 2*l - 2*u - 87, -4*l + 2*u + 182 = x. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (18 - 26) - (-8 + -12)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1698)\/(-5) - 14\/(-35). Let s be (-4 - 2)*r\/(-15). Suppose -s = -5*b - 2*y, -174 + 30 = -5*b + 2*y. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 11:58 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 4, -3512, 0, 7 in ascending order.\nAnswer: -3512, -26, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/15)\/(r\/r**(1\/8)))**(2\/19))**(-2) assuming r is positive.\nAnswer: r**(89\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 130cf (base 16) in base 3?\nAnswer: 10222001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q - 4. Put 6, q, -2 in ascending order.\nAnswer: -2, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 13. Let u be q(-3). Solve -k = 3*c - 2, -u*c + c = 4*k + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -0.1. Let w(f) = -f**3 + 5*f**2 - 3*f - 5. Let n be w(4). Let p = -0.3 - 0.1. Which is the second smallest value? (a) n (b) s (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 3:10 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*a + 3 + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 917272792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.6 + -3.3. Let j = -5 + 7. Let w = 1 - j. Which is the nearest to 2\/3? (a) w (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f = 4*j - 60, 3*f = -5*j + 68. Suppose 3*i + 8 = -j. Calculate the remainder when 44 + (-4)\/(-8)*i is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.6 - 2.5. Which is the nearest to v? (a) 2\/9 (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 908664 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25674970 and 82159904.\nAnswer: 410799520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.715 - 2.715. Which is the second biggest value? (a) -1\/4 (b) -16\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3220000 to the nearest one hundred thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 10. Let z be 2\/(-1)*-1 + i. Solve 3*b**3 - b**4 - 2*b**4 + 3*b**2 + 6*b - z*b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 29080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2562\/11 + 50723\/220. Calculate the common denominator of g and (7\/(-462))\/(4\/(-114)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 623804, 623791, 623778?\n\"Answer: -13*t + 623817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1446 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121.1867 decades to months.\nAnswer: 14542.404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1292 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1044 or -1041?\nAnswer: -1044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38488 - -269413\/7. Let x = -44 + 65. Which is the fourth biggest value? (a) m (b) x (c) -0.5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 179, 182, 187, 194, 203?\n\"Answer: v**2 + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23 + 1 + 6 + -9. Let o be (26\/4)\/(2\/(-4)). Let y = o + s. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -j - 6. What is the greatest common divisor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o**3 - 4*o - 12*o**3 - 4*o**2 + 3*o**3 + 1. Calculate w(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, n: 4, h: 1, m: 2, d: 3, c: 1}. Give prob of picking 1 k and 1 n.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/l**9))\/l**(-2\/11))\/(l**(-1)\/l*l**(1\/2)\/l))**(-3) assuming l is positive.\nAnswer: l**(-771\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/2 + 21102*b**2.\nAnswer: 3*b**2*(b + 14068)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2605, -12131 in increasing order.\nAnswer: -12131, -2605, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 744.42 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwwwwwwwwwwwwwwwwwwb. What is prob of sequence wbwb?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0. Let o = 431.02 + -435. Let v = o + 0.98. What is the nearest to l in -0.2, -1\/4, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -15. Suppose 0 = -x*j + 16, -4*v = -v - 3*j + 12. Let t(q) = 1014*q - 510*q - 505*q + 2. What is t(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - ((-25 - -47) + -27)) + -23.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 286467407 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: Suppose 0 = -2*l - 4*z + 70, -3*l + 24 + 76 = z. Suppose -3*i - l = -198. Let v = i - 22. Is v 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 yyxxyyy. Give prob of sequence xy.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**3 - h**3 - h**3 + (h**3 - h**3 - 2*h**3)*(-44 - 35 + 71) to the form l*h**2 + g + k*h**3 + j*h and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-10*18\/(-315))\/((-42)\/22785*-31)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b\/(b**4\/b)))**(1\/4)*b**(2\/25)*b**8*b*b)**13)**(7\/3) assuming b is positive.\nAnswer: b**(48139\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 910595550 a multiple of 775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55854 equal to 55856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 15. Let n be m(17). Suppose -l - 6 = -4*q + 6*q, n*l = -3*q - 9. Solve 0*p = -3*o + 3*p - 12, l = 5*o + 2*p + 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5241, -5239, -5237, -5235, -5233, -5231?\n\"Answer: 2*h - 5243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.19 (c) -0.03 (d) 3 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -168, -15803, 9 in increasing order.\nAnswer: -15803, -168, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.175.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6524 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36 + 87?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 10 = -5*t, -2 + 14 = -3*t + 3*i. Let r = -5\/42 - 8\/21. What is the closest to t in -1, r, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*a - 133*a + 297 = 0. Suppose 30*p - 90 = a*p. Is -206\/7 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(891)*-5)**2 + ((-4*(sqrt(121) + -2*sqrt(121)) + sqrt(121))\/(sqrt(121)\/(-1*sqrt(11))))**2.\nAnswer: 22550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 2:01 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 5*a + 15, -q + 2*q = 2*a + 9. Let z = 5 + q. Let f(d) = 2 - d - 7 + 3. Let c(v) = 2*v + 4. What is z*c(l) + 11*f(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - j**2 - j + 1. Let n(z) = z**3 - 7*z**2 - 6*z + 6. What is 6*c(s) - n(s)?\nAnswer: 5*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 329403296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/9)\/(i**(-4)\/i)*i*i*i*i**(2\/21)*i*i*i*i**6)\/((i*(i*i**(3\/5)\/i*i)\/i)\/i**(2\/11)*((i*i**(1\/4)\/i*i)\/i)**(1\/49)) assuming i is positive.\nAnswer: i**(1498933\/97020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59430671*h**2*s**2 - 119200132*s**2 wrt h?\nAnswer: 118861342*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*-1*(-11 + (-2 - -9))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**2\/2 - 2*t + 22. Let g = -1 + -4. Let v be q(g). Solve 3*o - v = 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*u - 51*u + 196 = 5*j, 5*u = -6*j + 234. Solve -7*z = -j*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.5, 1106, -6, -1\/4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 8*c**2 - 285*c - 2645. Determine w(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**2 - 42573*b - 10825164 = 0. Calculate b.\nAnswer: -13932, -259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -101741 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*u = 143*u - 12596. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7087557214 to the nearest integer?\nAnswer: 1921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**2\/2 + v - 2. Let j be p(-2). Differentiate -2 - 2 - l**j + 2 - 1 wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*n + 4 + 1 = 0, -5 = -l + 2*n. Suppose l*q - 4*q = 10. Solve -23 = 2*v - z - 4*z, 0 = 2*z - q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 5*t**2 + 8*t + 4. Let a = -137 + 135. Let y be u(a). Solve 4*v + 16 - 28 = y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134088 is divided by 16740?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/19)*l*l)**(3\/41)*l**20*l*(l\/(l*l**(3\/4))*l)\/l*l assuming l is positive.\nAnswer: l**(66695\/3116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109241690?\nAnswer: 2, 5, 2647, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 888 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.426316 tonnes?\nAnswer: 8426316000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0780878l in millilitres?\nAnswer: 78.0878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - -0.1. Let n = -0.3 + p. Which is the second smallest value? (a) n (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 2*u**3 + u**2)*(3 - 3 - 2) + 401*u**2 - 6*u**3 - 13*u**3 - 402*u**2.\nAnswer: -15*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2072*g**2*l**2 + 748*g**2 - l wrt l?\nAnswer: 4144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -343, -681, -981, -1231, -1419, -1533, -1561, -1491?\nAnswer: -1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2556)\/(-71)*(-68)\/102.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 307553, 307555, 307557, 307559?\nAnswer: 307561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -31*o**3 + 40 - 52*o**2 + 0*o**5 + 9*o**4 - 54*o**2 + 14*o**3 - o**5 + 42*o + 81*o**2 = 0.\nAnswer: -1, 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 - 41. Suppose -54 = r*x - 63. Suppose -4*z + 4*l + 104 = 0, x*z + 146 = 8*z + 3*l. What is the remainder when 51 is divided by z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 748 + -148. Does 30 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2670281 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 535825.\nAnswer: -160747.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.75000289 + 8.75. What is a rounded to 7 decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 36 = 12 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + -3*sqrt(104)*-2 + sqrt(104) + 6*2*sqrt(104))\/(sqrt(80)\/(sqrt(40)\/sqrt(4)) + 2*sqrt(648) + sqrt(648)).\nAnswer: 5*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2633*305.9\nAnswer: 805434.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75904866 at least 75904864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -7*d**3\/6 + 3*d**2\/2 + 162*d. Let l(c) = c - 1. Determine -l(k) - u(k).\nAnswer: 6*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 1:05 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*y - 6. Suppose -y*x - c = c - 62, 0 = 3*c - 9. Let p be (-36)\/(-21) - (-4)\/x. Are 3 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 2 (b) 0 (c) -0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1102831\/3440346 + 2\/44107. Calculate the common denominator of w and -43\/126.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -798681670 divided by -3985?\nAnswer: 200422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 91, 180, 269, 358, 447?\n\"Answer: 89*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = c - 46. Suppose 0 = 3*n - 0*n + c. Let u = 48 + n. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*z**2 - 997*z**2 + 410*z**2 + 250*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - o = -9, -2*o = -1 - 7. Let t(d) = d**3 + 7*d**2 + 11*d + 9. Let u be t(-5). Put -3, r, u, 0 in increasing order.\nAnswer: -3, r, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, p: 4, e: 2, a: 2}. What is prob of picking 1 e and 1 a?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - 30 - 2 - 17.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 b, and 1 n when four letters picked without replacement from bxnbb?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a day in minutes?\nAnswer: 10656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(360)*2) + ((sqrt(588) + sqrt(588) + -2*sqrt(588))\/sqrt(4))**2.\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 157296\/1512 - (-62)\/(-1953).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 8*g**2 - 3*g - 7. Determine d(9).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 3:37 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 - 0.4131664093?\nAnswer: -2.1131664093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(63) - (-4 + (2 + sqrt(7))**2).\nAnswer: -7 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 6*m + 1. Let w(t) = t. Let s(u) = u**3 + 13*u**2 - u - 14. Let a be s(-13). Determine a*d(j) + 6*w(j).\nAnswer: -2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*(1*187\/11)\/((-3)\/27)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 467760 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2025 + 4*u**2 + 995 + 2*u + 1014 - 2*u**2 + 5*u**2 + 0*u**2 + (-2*u + 6*u - 3*u)*(2*u - u - 3*u) to b + o*u + f*u**2 and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 2*r**7\/105 - 7*r**4\/24 - r**2. What is the second derivative of g(n) wrt n?\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*m + 2 - 2 = 0. Suppose -13*j + j + 120 = m. What is the greatest common divisor of 170 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0601 + 559.0601. Let w = -559.0266 + m. Round w to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -20. Put 2, -2\/9, z, -0.5 in increasing order.\nAnswer: z, -0.5, -2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1130785 is divided by 13461?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -3, 23, -12\/7, 12\/11, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 443025927?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -132, -292, -530, -852, -1264, -1772, -2382?\nAnswer: -3100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 386919888 = -4*z, -290189914 = -8*z + 11*z + t. Let y = 19029971 + z. What is y rounded to the nearest 1000000?\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63362 by 2.\nAnswer: 31681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 27 = -3*y. Calculate the greatest common divisor of 176 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 577959 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82 + 8533. List the prime factors of u.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/40*70\/15\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -1) + (11 - -8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -4)\/((-6)\/10). Suppose 21 + 9 = y*c. What is the first derivative of c + 6*m**4 + 1 - 5 wrt m?\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.545 millilitres in litres?\nAnswer: 0.022545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2 - 6*c = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 7*n = -4*n - 6, -4*n = -2*t + 16. Let a be (-24)\/(-9) + t\/(-6). Suppose -104 = -0*d - a*d. Calculate the remainder when d is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13936 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2211010000011 (base 3) to base 16\nAnswer: 16dbf3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -1)*1 - -2. Let u be 2\/((-2124)\/(-1065)) - c. Let a = -3272\/885 - u. Calculate the common denominator of a and 93\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5049, -20019, -44905, -79707, -124425, -179059, -243609?\nAnswer: -318075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 256, -5, 6, -4, 4 in ascending order.\nAnswer: -5, -4, 4, 6, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 57?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvu when three letters picked without replacement from {u: 2, v: 1, f: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94492*i**2*z + 6*i**2 + 808*i + 1 wrt z.\nAnswer: -94492*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -143 + 90. Let k = -58 - p. What is the nearest to -1 in k, -1\/5, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.93248 - 1.6326. Let i = p - 0.3. What is i rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 11:11 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005684687 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 20053*q - 681762. What is v(34)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/54)\/((-8)\/6).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52100858387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 115?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 84 = -178 + 109 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 + 17*k + 56. Let r(f) = -f**2 - 6*f - 19. Let b(v) = 6*i(v) + 17*r(v). What is b(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t - 6*t - 7*t)*(-5*t**2 + 4*t**2 - 2*t**2 + 3) to the form n + j*t + z*t**3 + i*t**2 and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38 + 2aa7a?\nAnswer: 2aa42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*d - 1. Let u(y) = 7*y**3 - 2*y**2 + y. Let z be u(d). Suppose 2*m - z = 4. Solve -w = -m*w - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 16.4 (b) 1\/72 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2091528552467 + -0.1.\nAnswer: -1.3091528552467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 2. Let t be r(5). Let b be (-1)\/(-3) - (-8)\/3. Let x = b - 0. Put t, -1\/3, x in decreasing order.\nAnswer: x, -1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8f3c + -48e?\nAnswer: -93ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -26978 + 81.892\nAnswer: -26896.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -2, 3 in descending order.\nAnswer: 20, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -10 + 4*c + 4*c**2 - c**3 + 9*c - 7*c**2 + 9*c**2. Give s(8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5129, -5100, -5071, -5042, -5013, -4984?\nAnswer: -4955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - c. Let h(p) = 2*p**3 - 3*p**2 - 10*p. Give h(u) - 3*j(u).\nAnswer: 2*u**3 - 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -106. Let f = o + 72. What is the hundreds digit of (f\/18)\/(-1) - 1429\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (83 + -69)*16\/(-14)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1178*a**2 + 1079*a**2 - 2145*a**2.\nAnswer: 112*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 3\/7 (c) 0.1 (d) 3\/5 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3)\/a*a)\/a*a**(-2))\/((a\/(a*a\/(a\/(a**(1\/3)*a))))\/a*a**(-2\/13)) assuming a is positive.\nAnswer: a**(2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-228)\/(-19)*(-2)\/(-7)*131838\/3504?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*f**3*v**6 + 14*f**3*v**5 - f**3*v**2 + 145*f**3 + 2*f wrt v.\nAnswer: -840*f**3*v**3 + 840*f**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*t = 1890 - 1804. Solve -t*h + 94 - 106 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -34\/53251385?\nAnswer: -34\/53251385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1242421 (base 5) in base 6?\nAnswer: -310304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.68. Let k = m - 0.71. Let h = 3.67 - k. Which is the closest to 1\/6? (a) 2 (b) h (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 - 1 + 1 + ((19 - 19 + 2*d**2)*(-1 - 2 + 1) - 3*d**2 + 4*d**2 + 0*d**2)*(-4 + 1 + 0) to the form k*d**2 + w*d + g and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 54. Which is the biggest value? (a) 0.3 (b) y (c) 0.04 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -18*3\/(-2) - 3. Let y = -9 + t. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*t - 4020 = -0*t, 0 = 3*y - 2*t - 3014. Suppose 5*l - y = 651. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1218147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2 - -8)) + (-2 - (-4 + 0)) - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 12*r + 41. Give i(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276909891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**4 - 11*c**4 - 12*c**4 + (-6*c**4 - 4 + 4)*(1 + 3 - 1) + (2*c + 2*c - 5*c)*(2*c**3 - c**3 + c**3) - c**4 - c**3 + c**3.\nAnswer: -41*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 51*o**2 - o - 15*o**2 - 10*o**2 + 2*o**2.\nAnswer: -73*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*x + 2*x, 4*b + 20 - 10 = -2*x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -1)*(6 + -13). Suppose -5*j = -2*c + 218, -6*c + a*c - 91 = -2*j. What is the least common multiple of 9 and c?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-682 + 369*t + 682)*(-1 - 4 + 2).\nAnswer: -1107*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 5, 4, -1 in decreasing order.\nAnswer: 5, 4, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0291 (b) 1\/6 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1008) + -1*sqrt(1008) - sqrt(1008)) + 5 + (sqrt(1008) - (-3 + sqrt(1008)))*-3)*1*-1)**2.\nAnswer: 96*sqrt(7) + 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -392825 less than -392825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q. Let l(n) = -n. Let r(c) = -9*l(c) - 4*s(c). Let i(g) = -29*g. What is r(i(y))?\nAnswer: -29*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63.4*59208.\nAnswer: 3753787.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, w: 3}. What is prob of picking 2 n?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/5 - 408*d\/5 - 13872\/5.\nAnswer: -3*(d + 68)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1. Let q(i) = -13*i - 2. Determine -q(j) + y(j).\nAnswer: 13*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*i = 22 + 7, 3*t + 2*i - 48 = 0. Let x be (-2)\/(((-4)\/t)\/(8\/14)). Let v(b) = 5*b + 4. Let n(k) = -5*k - 5. Calculate x*n(r) + 5*v(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -50000*w**2. Let a be q(-2). What is a rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 884500 and 1160?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3480 to the nearest one hundred.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v - 28. Let n be c(-16). Let f = -2995 - -3050. Calculate the greatest common factor of n and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxxttxtaattxxxkxuxku. What is prob of picking 2 k?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -500 by -5.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9906 and 1432941?\nAnswer: 37256466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t - 12*w + 60, -1746 + 1750 = 2*w for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94966240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8348 and 1208.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -o - 5*q - 23, 0 = -5*o - 2*q + 13. What is the nearest to o in 0.5, -10, 2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.3380658 - -12.5608?\nAnswer: -43.7772658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) 13 (c) -13 (d) 0.3 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -17 - 5) + -2 - (1 + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 2\/9 (b) 5 (c) 1\/4 (d) -2 (e) 0.044121\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*r + 722 = 340*r + 640 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*(2 + sqrt(1300) + 0)*-6)**2.\nAnswer: 1440*sqrt(13) + 46944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.98219625 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/779 + -771\/3116. What is the nearest to u in 19, 0, -0.1, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3855 - 3890. Put 4, 8, o in increasing order.\nAnswer: o, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/8 (b) -1\/3 (c) -2 (d) 46 (e) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -738459 take away 1530426132?\nAnswer: -1531164591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2320*o + 4. Let y(a) = -13*a + 1. Let s(x) = m(x) - 4*y(x). Let l(d) = -d. What is l(s(h))?\nAnswer: 2268*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 3:44 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 23*f - 198. What is the remainder when 194 is divided by c(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -1\/12*q**4 + 0 - 4*q + 9\/2*q**2 - 1\/6*q**3. What is the units digit of w(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 + -68 + (8 - 3 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 - 1) + 52 + 557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2021 - 14187\/7. Let o = -8 + 14. Calculate the common denominator of (o\/(-8))\/(3\/17) and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuqdqudqq. Give prob of picking 2 d.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 32*b**2 - 68*b + 1. Let x be g(34). Let j(l) = 106*l - 4. Let w(a) = 35*a - 1. Let y(c) = -3*j(c) + 10*w(c). What is the units digit of y(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 120 = 6*x. Suppose -x = -i - 4*d, -2*d + d = -3*i + 64. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5215451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/44 + 24\/11. Suppose z + 3*b = d - 4, 4*z - 32 = -2*b. Suppose -3*i = -8 - z. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l - 4 = 32*l. Let u be 10285 - (-7 + (3 - 5 - l)). Round u to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -497, -682, -867, -1052, -1237, -1422?\nAnswer: -1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143407687.\nAnswer: 19, 7547773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + g. Let n(p) = 17*p + 72. Let h(z) = -n(z) + u(z). Let m be h(20). Suppose -m*q - 5*q = -1274. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 171314 and 6589?\nAnswer: 171314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 909.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1527 and 573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*d**2 + 4*d**3 + 156*d**2.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -1, 237, -5, 22?\nAnswer: 237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9816217ng in tonnes?\nAnswer: 0.0000000000000009816217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -158\/301 (b) 5\/3 (c) 3 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*u + 2544 = 27*u - 31*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 630?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kttt when four letters picked without replacement from ktttk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 20) + -1 + (-8 - (-19 - -4))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4105*1.5.\nAnswer: 6157.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4444\/(-42) - (-2)\/3. Let s = -7121\/63 - l. Calculate the common denominator of (-3852)\/(-352) + 82\/451 and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1247*l + 1976 = 89266 for l.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.7 + -6.2. Suppose -5*c + 2 = -c - 2*k, -3*c - 2 = 2*k. What is the closest to c in s, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -3*l + 2*d, -340*l = -320*l - 3*d + 337 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/199872 and 57\/476.\nAnswer: 23784768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 19. Give b(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*n + 731 - 215, 2*k = -n + 92. Let f(w) = -4 + n*w**3 - 4*w**2 - 2 - 11*w - 200*w**3 + 101*w**3. Let r be f(5). Is -34 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 19*s**2 + 8*s + 45. Calculate i(-19).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -18*y**2 - 4*y + 1. Let o(m) = -19*m**2 - 4*m. Let g(p) = 2*n(p) - 3*o(p). Is g(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -10. Let f be (-60)\/(-14) - s\/(-14). List the prime factors of (14\/3)\/(f\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/7 (b) -11 (c) 7\/5 (d) 0.6 (e) -1364 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*a + 4 = -1, -3*i = -3*a - 30. Let t = -93 - -90. Let m be 12\/3 - (t - -4). Solve 0 = 2*w + m + i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 1, b: 1, d: 1, r: 1, a: 2}. What is prob of sequence vr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(57)\/sqrt(3) + 0))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*g**6 + 65*g**3 - 13493*g**2?\nAnswer: 3240*g**3 + 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**3\/3 + 3*k**2 - 55. Let j(x) = -x**2 - 5*x. What is 4*j(f) + 3*v(f)?\nAnswer: -f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**2 + 25*o - 23. Let f(j) = -j**2 + 8*j - 8. Let q(p) = 7*f(p) - 2*x(p). Suppose -5*d = 27 + 13. What is the units digit of q(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.7367 + 5.77. What is j rounded to 3 dps?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.2 - 17.84. Let l = 4.36 - q. Let w = -6\/23 - -1\/92. What is the closest to w in 0.5, 2\/19, l?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaq when three letters picked without replacement from {q: 3, h: 4, a: 9, z: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8\/32 - 52\/48\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + 10 + -34 + -4.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 l, and 2 c when four letters picked without replacement from zazgznczlczcl?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6749*c = 6807*c - 580 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6869, -13733, -20597?\nAnswer: -27461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13603 - 13599. Let b(g) be the second derivative of -12*g**2 + 0 - 23*g - 9\/4*g**d + 0*g**3. What is the first derivative of b(p) wrt p?\nAnswer: -54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -782768 (base 13) to base 15\nAnswer: -3ae702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111666 and 19647?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1113 and 15?\nAnswer: 5565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155 (base 6) to base 9.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84105 is divided by 42051?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - (-7 + 15) - (5 - 6).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/1862 and -131\/798?\nAnswer: 5586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.295, 5, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*(4 + -1 + sqrt(475) + -2)*-6*-6)**2.\nAnswer: 52560*sqrt(19) + 2467729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 6) to base 8\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 22 - 8. Suppose 40 = 10*u - s*u. Let b = 1.96 - -0.04. Which is bigger: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 16*o - 312. Let k be w(25). Is -2 + (-40)\/(-22) - (-239552)\/k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2 + 6*w + 1. Let q(a) = -a - 1. Let o(c) = -2*q(c) - v(c). Determine o(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1684746 is divided by 842373.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 647*i**2 + 57735*i**2 + 43985*i**2 - 24839*i**2.\nAnswer: 77528*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -3090189, 4\/3, -0.2 in descending order.\nAnswer: 4\/3, -0.2, -2\/7, -3090189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1123.5 minus 0.3?\nAnswer: -1123.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/33)\/(6\/27*-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 126*f + 196. Does 20 divide q(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-3 - (19 + -2)). Let o(b) = 6*b**3 - 6*b**2 + h + 0*b**3 - 5*b**3. Does 26 divide o(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 - 11*n + 24. Calculate c(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 7*v**2 + 2*v + 10. Let b be a(-7). Let m(t) be the third derivative of t**4\/12 + t**3\/6 - 2*t**2. What is m(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -928, -750, -454, -40?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 1:29 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 + 4 = 5*o. Let f be (-13)\/(-62 - -10) + (-119)\/(-4). What is the highest common factor of f and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11011010121202 + 0?\nAnswer: 11011010121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 22*h + 79. Give t(-20).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3803172313?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -0.2 (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -357 times -0.15\nAnswer: 53.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/k**(-4\/13)))\/k)**(33\/4) assuming k is positive.\nAnswer: k**(-33\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g*i*p*r**3 + 10064*g*i*p*r**2 + 103*g*i*p*r - 606*g*p - p - 8*r**3 wrt r.\nAnswer: 6*g*i*p*r + 20128*g*i*p - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 + 8*f**2 - 2*f - 1. Suppose -36 = 3*p + 6*p. Determine x(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - -14) + 3 + 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c, 0 = a - 3*c - 8454 - 28903. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -7. Let d = p + -0.1. Let c = d + 2.09999977. What is c rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4, 55, 144, 271?\n\"Answer: 19*l**2 - 6*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 21 - (5 + -12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.044 - -18. Let c = 3.044 + r. Sort -0.5, 19, c in increasing order.\nAnswer: -0.5, c, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609*n - 20*n = 2916 - 1149 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/21326625 and -56\/3949375?\nAnswer: 106633125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 9 = 27. Calculate the highest common divisor of 18 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2. Let x(c) = 7*c**2 - c**2 - 8*c**2. Give t(x(v)).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/10*110\/132. Let t(y) be the second derivative of 0*y**2 + d*y**3 - 4*y + 1\/3*y**4 + 0. What is the second derivative of t(c) wrt c?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 395884694 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 200*o**3 - 79*o**2 - 5*o. Let m(r) = -300*r**3 + 119*r**2 + 8*r. Let u(i) = 8*k(i) + 5*m(i). Find the third derivative of u(j) wrt j.\nAnswer: 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -817420.7195 take away -0.01?\nAnswer: -817420.7095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 50*m - 1561. Determine a(32).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 1)*(-2*r + 0 + 0) + r - r + 2*r + (3*r - 4*r + 2*r)*(3 + 3 - 2) + 2*r + 8 + 31 + 63 as i + v*r and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 - 62. Put 2, q, 32 in descending order.\nAnswer: 32, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/28 + 65\/(-7). Let p = -7 - y. Solve -k - p*k = 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-549*h + 125*h + 226*h)*(-2*h - 4*h + 4*h) to g + a*h + b*h**2 and give b.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37 - 39*l**3 + 16*l**3 - l + 9 wrt l.\nAnswer: -69*l**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22304 + -21435. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h. Let l(b) = b**2 - 2*b**2 + 0*b**2 + 2 + 2*b. Let x = -4 - -2. Let j(t) = -3*t**2 + 5*t + 5. Let o(z) = x*j(z) + 5*l(z). Calculate o(m(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1598*f - 117*f**2 - 1598*f + 103*f**2.\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3*t**4)*(3 + 30 - 6 + 5 - 2 - 2 + (0 - 3 + 1)*(0 + 1 - 2) + 6 + 6 - 5).\nAnswer: -111*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-1 + 3 + -3). Let l = -0.03 + -0.17. Let f = 3 - 2. What is the closest to f in l, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-24) - ((-65)\/(-30) - 2). Let u = -51 - -45.8. Let d = u + 0.2. Which is the second biggest value? (a) d (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -7046.\nAnswer: 5\/7046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 139*s**5\/30 + 7*s**4\/12 + 4*s**3 - 27*s**2. Let z be r(-4). Suppose 12*d - z = -4*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3) + (-1261)\/(-2037). Which is the nearest to -76? (a) y (b) 1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 5\/(5\/2). Let b = 2 + w. Are b and -4\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292856315 to the power of 1\/3, to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 599*r**3 + 3*r**2 + 2*r - 25. Is f(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86\/57 + 3\/19. Suppose -2 - 14 = -4*d. Let o be (1\/10)\/((-1)\/d). What is the closest to o in x, 2, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1.06, 11, 0 in descending order.\nAnswer: 14, 11, 1.06, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 15464?\nAnswer: 262888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-20) + 28\/(-5). Let p be ((-3)\/l*0)\/(-1). List the prime factors of p\/3 - (1 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -280647*q + 158187 wrt q?\nAnswer: -280647","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.45 + -7.\nAnswer: -17.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdn when three letters picked without replacement from {n: 9, z: 2, k: 1, d: 7}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 215020 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4185 and 137640.\nAnswer: 1238760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.425 + -0.434. Put b, 3, -2\/3 in descending order.\nAnswer: 3, b, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-152)\/(-3) + (-3)\/(-9). Suppose -l*d = -47*d. Solve -3*h + 10 = 3*b - 8, d = 4*h - 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116209 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-46 - 15) + 89 + (-2 - (-4 + (2 - 1)))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.046 - 0.046035. What is z rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 + 17*f**2 + 6*f - 2. Determine b(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 + 99. Let o(s) = s**2 - 3*s - 7. Let x be o(5). Suppose x*b = -b + d. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - 6 + 6)*(7 - 3 + 8)*(0 - 1 + 2).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1520523 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in -0.2, 9\/2, -5, 3.198, -4?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*y + 1, -5*p = -0*p - 10. Suppose -y*z + 0 = -12. Solve -3*m + 2*q = -2*q + 23, 0 = -4*m - z*q - 12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 8) in base 12?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/(-60)*(-7)\/35?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + 9*h - 8. Determine v(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 18 = d - 3*o, -4*o - 31 = -d. Let v = d + -44. Which is greater: v or -16?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbtb when four letters picked without replacement from bttbbb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/144 - 17\/(-42). Let k = 0.34 - 0.04. Which is the second biggest value? (a) 4 (b) -0.1 (c) m (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11508 times -0.5\nAnswer: 5754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3*j - 1)*(-1236*j - 328*j + 912*j) as s*j**2 + o + k*j and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 45727 = -n, 16*f + 3*n - 228635 = 11*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 + 5*a**3 - 2*a**2 - a**2.\nAnswer: 5*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 744 and 13390512?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, z: 2, e: 1, l: 1}. What is prob of sequence lze?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 8:36 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - k + 3*k + 9*k**2. What is p(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/3*1*(-351)\/(-780)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -269 + 277. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17367060?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*f**3*s**5 + 37*f**3*s - f**3 - 7*f**2*s**5 + 9*f*s + 4*s wrt s.\nAnswer: 260*f**3*s**3 - 140*f**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -6) + 14 - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.2009 - -7.2. Round h to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -530872 + 530871.96583946. Let h = -0.03412 - q. What is h rounded to six dps?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k + 1362 = 452 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -583 - -600. Suppose -3*l = -r*x + 12*x - 28, 2*l + 2*x = 8. Solve -l = 4*o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p + 3*p + 28*p + 16*p - 16*p.\nAnswer: 51*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 10)\/(-48)*-4*0. Solve -2*o + 0*q - 4 = 2*q, q = d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 - 74*x**3 + 408*x**2 - 504*x.\nAnswer: -2*x*(x - 3)*(x - 2)*(x + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -385 = -383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/41813366 and -67\/1274.\nAnswer: 543573758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 28 = 4*x. Let l = x - -8. Let t(b) = b**3 - 1. Let v(r) = -7*r**3 + 7. Determine l*v(y) + 6*t(y).\nAnswer: -y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*((-4)\/34 - (-9740766)\/(-2856)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1196190990 - 0.10661.\nAnswer: 1196190989.89339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 152, 307, 460, 611, 760?\n\"Answer: -t**2 + 158*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*d**2 - 2*d**3 + 25*d**2 - 3*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 2 + 47 - 13*c**2 + 5*c**2 + 114 as q*c**2 + h + j*c and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 218974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11, -67, -235, -569, -1123, -1951, -3107?\n\"Answer: -9*y**3 - 2*y**2 + 13*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 413049 and 42?\nAnswer: 826098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 16*k - 15*k. Does 52 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1087927?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 - 1509*o + 103.\nAnswer: -1509*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8196 - 5718. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + z + 4*z)*(z**2 - 4*z + 4*z)*(0*z**2 + 0*z**2 + z**2).\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*w - 0. Suppose w = -73*y + 72*y - 53. Let g = y + 59. Solve n - g = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-5)\/h))\/h**(-3)*(h**(-1\/2))**(-43) assuming h is positive.\nAnswer: h**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -13597 (b) -5\/2 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, c: 2, d: 2, p: 7}. Give prob of sequence pnp.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -461, -923, -1385, -1847?\n\"Answer: -462*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30960000 rounded to the nearest one million?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29786 + 29812. Solve -38 = -y*p - 90 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -17*g**7\/21 - g**5\/12 - 7*g**3\/3 - 3*g**2 - 9*g. Find the third derivative of b(j) wrt j.\nAnswer: -4080*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 230641 = 3*c + 230628, 2*c + 4*v + 66 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 521455321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10181 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -427543\/3 + 142537. What is the common denominator of i and (-166)\/88 + (-1)\/(-2)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 + 0*l + 52 + 29*l to r + t*l and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*1\/(-3)*54. What is the highest common divisor of 108 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 = -27576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -1025 and -1024 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175135, 175083, 175017, 174931, 174819, 174675, 174493?\nAnswer: 174267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8916506041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 = 0, 0*s = s + 4*g - 19. Suppose 37*o = 40*o - 3. Let l(x) = 4*x - 1. Let z(q) = -2*q - q + 1 - 2*q + 4*q. Determine o*l(t) + s*z(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 854234 + 9854*u - 2*u**3 - 9854*u.\nAnswer: -2*u**3 + 854234","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {y: 2, s: 3, j: 1, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86359, 86357, 86355, 86353?\nAnswer: 86351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 3678698 and -0.4.\nAnswer: 3678697.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -501? (a) -0.084 (b) -1.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*j + 98*j - 299*j**2 - 56*j)*(-j**2 + 5*j**2 + j**2).\nAnswer: -1495*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 871 - 13061\/15. Find the common denominator of v and -26\/235.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*i - 17, 5*q = -6*i + 2*i + 41. Suppose -q*m + 3*m = 3*u + 8, 4*u + 5*m + 13 = 0. Sort 4, u, 3 in decreasing order.\nAnswer: 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*o + 4*i, 11 = -5*o + 4*i - 5*i. What is the units digit of (o - (-45)\/(-10))*(-112)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**2 - 1034490*f - 53508478005 = 0. Calculate f.\nAnswer: -103449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 0. Suppose 0 = z*h + 49 - 265. Suppose 2*m - h = -m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2)\/g*g)**(-7\/8)*((g*g**(1\/4))\/g)**40 assuming g is positive.\nAnswer: g**(87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from pkpoppokkorpoprpv?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, g: 8, s: 1, d: 1, u: 1, y: 2}. Give prob of picking 2 s, 1 u, and 1 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*33.6099.\nAnswer: 6.72198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 66 = -4*g. Calculate the highest common factor of 22 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**2 - 2. Suppose 3*d = d + 4. Let b(f) = 0*f**2 - 3 + 0*f**2 + 5*f**2. Calculate d*b(c) - 3*a(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - 16 + 40 - x**3 + 0*x**3.\nAnswer: -x**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaaeaaeeaaeeaeee. Give prob of picking 4 e.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 51*l + 1. Let x(f) = 50*f + 1. What is -5*t(w) + 4*x(w)?\nAnswer: -55*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkoqwvkqok. What is prob of picking 1 q and 1 k?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-3 - (-3 + 0)) - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/10*(-10)\/(-3))\/32?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -36. Let m(k) = -11 + 28 - 2*k - d. Calculate the remainder when 22 is divided by m(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -6*r**2 - 94*r + 93. Let w be j(-8). Solve 0 = p - 4*p - 2*d, -w = 5*p + 4*d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -701 - -28520?\nAnswer: 27c1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -29900, -4, 1, -2 in increasing order.\nAnswer: -29900, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3050 and 239490270.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*j + 811*j + 405*j = -470*j + 60496 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104*a**5 - 45*a**4 - 95*a**5 - 96*a**5 + 294*a**5 + 297*a**2 wrt a.\nAnswer: -60*a**2 - 1080*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/444 and 33\/20.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -626 + 626. Solve 4*o - 5*s = o - 6, n = 5*o - 4*s + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 13 = -25 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 9*u - 36. Suppose 4*z = -2*r - u, 3*r + 2 = -2*z + z. Calculate the remainder when 1 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j. Suppose 17348*m - 17362*m = -98. Give w(m).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116 + -1 + -24 + 8 + -15?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*i + 68 = 0, -i - 122 + 38 = -4*x. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 3 - 3)*(-8 + 5 + 2 + (2 - 1 - 2)*(0 - 3 + 1) + 5 - 1 - 3).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2160, 8, -20 in decreasing order.\nAnswer: 2160, 8, 3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 7*p - 20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1033105 divided by -206621.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/521 (b) 21 (c) 1 (d) -34\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 11) to base 2\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -10*y + 330. What is the greatest common factor of y and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 4:48 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2 + 54*z - 81. Give j(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -864 + 848 + (-101)\/(-6). Let k = -4 - -3.8. Let a = -0.6 - k. What is the third smallest value in -5, 0.1, a, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y + 50. Let r be p(7). Let g = -26 + 167. Find x, given that -24*x - g*x**5 - 8 - 600*x**4 + 196*x**2 + 491*x**5 + 94*x**3 - r = 0.\nAnswer: -2\/5, -2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 3. Let j = l + -4. Find the second derivative of 3*x**4 + 6*x - 5*x - 4*x**j wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*h - 16476 + 137411. Calculate the remainder when h is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t + 4. Let c = -21 + 8. Let l(b) = 11*b - 12. Let d(r) = r + 1. Let z(u) = 4*d(u) + l(u). Let i(v) = c*g(v) - 6*z(v). Determine i(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c (base 16) to base 12.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - a - 291 = 4*a, 294 = 4*d - 2*a. Let v = -75 + d. Let j(b) = -12*b**2 + b + 1. Give j(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 28*n + 18. Suppose -8*u = -4*u - 5*m + 4, -m = -3*u + 8. List the prime factors of r(u).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, n: 1, r: 2, w: 1, u: 1, q: 1}. Give prob of sequence rw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/15, 976, -2.\nAnswer: -2, 8\/15, 976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = 7*d - 260. Let i be (-4)\/4 + (-4)\/2. Let y be 1410*d*i\/(-27). Round y to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 1. Let r(q) = -q**3 - q**2 - 5*q + 10. Let i(u) = -6*m(u) - r(u). Let o be i(4). Suppose 0 = -o*t - t. Solve 3*v = -t*v - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683489 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*c - 72. Let a be 13\/39 + 3\/(c\/(-32)). Sort a, 3, 0.2 in decreasing order.\nAnswer: 3, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/1498 and -6*-2*1\/40.\nAnswer: 7490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222089.\nAnswer: 7, 31727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.53, 0, 118, 2\/7, 5 in descending order.\nAnswer: 118, 5, 1.53, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -7. What is the lowest common multiple of z and (5 + -4)*-8*-2?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**3 - 488*a - 1081?\nAnswer: 6*a**2 - 488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003376 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9.691408 nanometers?\nAnswer: 0.000009691408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 23 + m + 24.\nAnswer: m + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 17 = 103. Suppose -6*k = -k + h. Let p = 39 - k. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.39226g to tonnes.\nAnswer: 0.00008739226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 3:06 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 7*s**2 + 2*s**2 - s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + 9\/(-3) + 15. Determine l so that -16*l + 2*l**2 + 15 - 4*l**2 + 4*l**2 + j = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.75039539 rounded to two dps?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4975727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1556 and -446.\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -14. Suppose 5*d = n*x - 17, -3*d + 0*d = -4*x + 15. Which is the smallest value? (a) -2 (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + v - 2 = 0, 4*v = 5*r - v - 40 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**2 - 2*k**2 + 5*k**2 + (2 - 2*k - 2)*(k + 1 - 1) + 3*k**2 - 6*k**2 + 2*k**2 - 494*k**2 + 1119*k**2 + 958*k**2.\nAnswer: 1578*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from {z: 4, r: 6, i: 1, y: 5}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -61802.45 to the nearest one thousand.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 498900*m**4 - 4*m + 38367 wrt m.\nAnswer: 5986800*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10\/21 (b) 2 (c) 0.5 (d) -0.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 22*n + 15. Let b(i) = -i**2 - i. Let o(k) = -3*k**2 - 3*k. Let m(r) = 2*b(r) - o(r). Let x(c) = 4*m(c) - u(c). Is x(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z + 49. Let g be a(-10). Solve 2*o - 3*w + 2 = 0, 5*o - 3 = -3*w - g for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 8:51 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*y**5 + 2048155*y**4 - 6701400*y**2 + y?\nAnswer: 840*y**2 + 49155720*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105\/2 - 52. Let w(j) be the third derivative of -2*j**2 - 1\/24*j**4 + 0*j + s*j**3 + 0 - 1\/30*j**5. Determine w(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 23 + 55 = 0. Suppose -26*s + 24*s = q - 133, -k*s + 192 = 3*q. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/129246 and 64\/2093.\nAnswer: 20808606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -158 at least as big as 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -371*m + 99. Let c(g) = 372*g - 100. Let x(t) = -4*c(t) - 3*v(t). What is the first derivative of x(s) wrt s?\nAnswer: -375","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**4 - h**4 + h**4)*(-3 + 2 + 0) + 6*h**4 - 5*h**4 + 7*h**4.\nAnswer: 11*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5419454 rounded to two decimal places?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -19) + -1 + -5 + -50 + 16.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17497*a**2 + 8737*a**2 + 8695*a**2.\nAnswer: -65*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 201.\nAnswer: -5\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 154 = 77*u - 111. Solve 0 = -u*g - 9, 4*g - 17 = 5*t + 3*g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - sqrt(240)*1)\/((-1*sqrt(50))\/sqrt(10)))**2 - -2*(5 + (-3 + sqrt(3) + -3 - sqrt(3))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*i**2 - 4 - 518*i**4 + 521*i**4 + 68*i**3 + 38*i**2 to the form o*i**4 + g*i**3 + m*i + v + j*i**2 and give g.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 - b**4 + b**4 + (-1576*b**2 - 3413*b**2 + 267*b**2)*(3*b**2 + 0*b**2 + 0*b**2).\nAnswer: -14165*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2. Let x(n) = -1823568*n. What is f(x(m))?\nAnswer: 6650800501248*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6449713 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*t = 3*g - 1058, -1754 = -5*g - t. Let o(n) = n**3 - 5*n**2 - 3*n - 7. Let q be o(-5). Let p = q + g. Is 52 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 9. Let x be (3 + -24)*10\/(-385). Which is the third smallest value? (a) x (b) 0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2. Let v(g) be the second derivative of 11*g**4\/6 + 3*g - 6. What is n(v(f))?\nAnswer: -1936*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/18)\/((-7)\/(-21)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 2 + 0*s**2 - 3*s**2)*(11*s**2 + 0*s**2 + 7*s**2).\nAnswer: 18*s**4 - 36*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1434532 (base 7) in base 12?\nAnswer: -94134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(136)\/(sqrt(48)\/sqrt(6)) + 2.\nAnswer: -3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/18 and 57\/4508.\nAnswer: 40572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 10*w - 16. Let k be i(6). Suppose k + 5 = g. Suppose 1904 + g = 9*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 1 + 0 - sqrt(11))*6*-3*6)**2 - (-3 + 2 + (sqrt(99) - (1 + sqrt(99)) - sqrt(99))**2 + (-3 + sqrt(99) + 1)**2).\nAnswer: 6*sqrt(11) + 11462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 3) + (-19 - -20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 - 151 = -4*f. Let o = -290 - f. Let u = o + -946. What is u rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 4*d = 4*i + 3, -3*d = 5*i + 11. Which is the second biggest value? (a) 4 (b) i (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 13) in base 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 6. Let a be (-135)\/p + (-5)\/20. Let q = -17 + a. What is the biggest value in 0.4, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2. Let o be s(1). Suppose -o*i - z - 3*z = -28, 5*z - 7 = i. Suppose d = -0 + 2. What is the lowest common multiple of i and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3699376.\nAnswer: 2, 19, 43, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -126, -141, -162, -189, -222?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1933, 1672, 1411, 1150?\n\"Answer: -261*o + 2194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 893407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 65 (b) 0.5 (c) 0.06 (d) 4 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 83019041 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: Solve 5*n + v - 14 = 0, -76*n + 74*n - 4*v - 16 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 - -543?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*o + o - 2034, 2*d + o = 813. Calculate the remainder when d is divided by 75.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (5 + -4 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.4 and -34\/147 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3301 = 2*y - 5*s, 27*y - 5*s - 6577 = 23*y. List the prime factors of y.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51302 + 100274. Suppose 0 = 8*n - 50*n + u. Does 53 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47.988 * -2.\nAnswer: 95.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:40 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r + 4. Let b be p(5). Let w be (-81)\/9 + (21 - -9). What is the highest common factor of w and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 2626.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/(-35))\/((-2)\/(-14)). Let a(f) = 2*f + 9. Let r be a(u). Suppose 3*i = -4*c + i + 18, -2*c - 2*i = -12. Put r, c, 2 in increasing order.\nAnswer: r, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7196327 rounded to three decimal places?\nAnswer: -1.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6446 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 40904.17 years?\nAnswer: 490850.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3942 divided by 27\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1031*h - 1015*h - 608 = 0. Let d = -6 + 8. Find the third derivative of -h*x**d - 57*x**2 + 8*x**3 + 80*x**2 wrt x.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 6*o - 2. List the prime factors of k(12).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 956 (base 10) in base 13?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(1\/(-3) + 0). Let k be (84\/9)\/(s\/36). Is 12 a factor of (k\/20)\/((-2)\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**5 + 85642300*b**4 + 2*b**3 + 31298*b**2 + 13683.\nAnswer: 120*b**2 + 2055415200*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 - 81. Let c = 35.5 - 20.55. Let z = r + c. Sort z, -0.1, -0.4 in increasing order.\nAnswer: -0.4, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**3 - p**2 - 4*p + 3. Let k(z) = z**3 - z**2 - 4*z + 2. Let a be 338\/(-130) - (24\/(-15) - -2). Calculate a*k(x) + 2*q(x).\nAnswer: x**3 + x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*i - 48 = -46*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 2\/7, -2\/11, -4, -3.02, -0.576, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**4 + 56*i**3 + 784*i**2 = 0.\nAnswer: -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/9171 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 210059\/17717 - -2\/2531. Which is bigger: f or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 527640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*v**3 - 6762522*v**2 - 208729057*v.\nAnswer: 72*v - 13525044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 + 5*p - 2. Suppose -24 = -2*r - 2*r. Let a be n(r). Suppose -u - u = -a. Calculate the greatest common divisor of u and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 62 + 163 = 0. Suppose 2*n + v = l, 0*l + 2*l - 3*n = 87. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -21 + 24 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4895821?\nAnswer: 7, 331, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -123900 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2816 (b) 1.2 (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omkyhhmosohhh. Give prob of sequence omoy.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 57 = 711. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 4*y - 10. Let v be h(-6). Let z(c) = 56*c + 8. Let n be z(v). Let u be n\/25 - (-3)\/15. Solve u*a + 3*j - 16 - 3 = 0, 3*j - 13 = -2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*i - 8*i + 19, 0 = -2*i + y + 10. Solve i*u = 2*k + 2, 2*u + 5*k = -2*u + 18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3499321684 and 0.2?\nAnswer: 3499321684.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-46)\/207 + 40\/18. Suppose 2*i = -0*i + 356. Suppose -4*c = 2*f - 208, -c = -u*f + c + i. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7736 (base 8) to base 12.\nAnswer: 2426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 1479.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*f + 1013 = -13*f + 573 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7 + 2. Suppose -j = -o - 225, -6*j - 213 = -7*j - 5*o. Suppose -20 = -233*d + j*d. What is the third biggest value in -2\/3, u, d, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 136, 152, 166?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*p**2*u - 1640666*p**2 + 65619*p*u - 2*p + 94*u + 4 with respect to u.\nAnswer: 6*p**2 + 65619*p + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 95696729055.\nAnswer: 95696729054.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*v + 9*v - 30. Let b(j) = -4*j**2 - j - 7. Let g(m) = -5*m**2 - 2*m - 7. Let o(a) = -6*b(a) + 5*g(a). Calculate o(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 12*w**2 - w - 7. Let i be u(-12). What is the first derivative of 10 - 3*x - 24 + i - 2 wrt x?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 5*t**2 - 4*t - 4. Let w be y(-6). Let z be 10\/3*(-690)\/(-25). Let d = z - w. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 0.4 (c) 0.9 (d) 17 (e) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-23835)\/42)\/((-2)\/508) + 6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*y = 42, -2136*k - 3*y = -2139*k + 42. Suppose -m + 2*p = 2*m - 14, 0 = m - 2*p - 2. Solve -m = k*c - 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 8*i - i**2 - 48.\nAnswer: -i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*p**2*x + 41*p**2 - 2*p*x + 25*x - 3 wrt p.\nAnswer: -108*x + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6012136 to the nearest integer?\nAnswer: 2452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 5*q**4\/4 + 6*q**3 + 15*q**2 + 11*q + 73. Let v(m) = -4*m**3 - 18*m**2 - 30*m - 12. Let t(n) = -4*a(n) - 6*v(n). Factor t(x).\nAnswer: 4*(x + 1)**2*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 0) + (-128 - -119).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/79 > 0.017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -10111?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z. Let q(d) = d - 1. Let a(g) = -6*q(g) - 7*w(g). Let v(h) = -17*h**2 - 1596*h + 179. Let o be v(-94). Calculate a(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*g - 5*l + 7, -2*g + 5*l - 22 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17675, 17681, 17691, 17705, 17723, 17745?\n\"Answer: 2*f**2 + 17673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n - 1. Let b be s(-1). Put b, -3, 6 in descending order.\nAnswer: 6, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 46 = -2. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-32)*g*g*g*g**5\/g)\/(g**(17\/5)*g*g**5) assuming g is positive.\nAnswer: g**(-167\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-7)\/(35\/50) - 7. Sort 0, c, -2, 31 in descending order.\nAnswer: 31, c, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j - 1. Let q be -1 + 21\/5 + 4\/(-20). Suppose 2*s = q*i - 0*s + 12, -5*i - 2*s - 36 = 0. Give d(i).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y\/y**(-35)*y*y))\/y*y*y)\/y)\/y*y)\/(y\/((y**(-20)\/y)\/y)) assuming y is positive.\nAnswer: y**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3787?\nAnswer: 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5\/8 - 9\/40. What is the nearest to k in 0.3, 2\/3, -5, -9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-one halves of a decade?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 15 = -6*y. Let o be ((-25)\/3)\/y*6. Solve -3*c - o = 4*r, 0 = 2*c - 3*r - 3 + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -4*x, 0 = 3*x + 5*m + 51 - 49 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -22 + (-22 - -22) - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 939082*l**4 - 708138 wrt l.\nAnswer: 3756328*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -77*i**4 + 136 wrt i.\nAnswer: -308*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1990, 2867, 4330, 6379?\n\"Answer: 293*q**2 - 2*q + 1699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3\/24316 (b) 2\/9 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 2, a: 2}. Give prob of sequence wa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1132 and 4868.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 5*c + 20, -500*c + 3*f = -501*c - 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 + 8 - 7 + 7*l**2 - l**2 + 24*l**3 - 18*l.\nAnswer: 24*l**3 + 2*l**2 - 18*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 0.2. Let d be ((-4)\/98)\/(3\/(-21)). Let x = -74 + 371\/5. What is the smallest value in x, d, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*s - 5*y - 21, -5*s = -5*y - 135. Let n(g) = -g**3 + 6*g**2 - 4*g - 7. Let k be n(5). Sort s, k, 4.\nAnswer: k, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/5 - 844*p\/5 + 5712\/5.\nAnswer: 4*(p - 204)*(p - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 5. Let y be i(11). Let c = 85 - y. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 1. Let y(o) = -2. Let x(w) = -655*w - 10 + 663*w - 15. Let l(q) = 2*x(q) - 22*y(q). Give -l(b) - 8*r(b).\nAnswer: -8*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from {u: 1, z: 19}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-4\/15)\/g*g**(-2\/21)*g**(2\/9)\/g*g*(g**(4\/7)\/g)\/g assuming g is positive.\nAnswer: g**(-494\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjeqo. What is prob of sequence eoq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2587.754 millennia to centuries.\nAnswer: 25877.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030995701 rounded to five decimal places?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5011 - 5015. Which is the nearest to 0.1? (a) -0.03 (b) j (c) -2 (d) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 548*(4\/(-6))\/(8\/(-6)). Let j = l + -237. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 10:52 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.5 - 3. Let p = 48817 - 48816.8. Sort 0, -0.04, p, c in descending order.\nAnswer: p, 0, -0.04, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -3, -4, 9\/5, 1986.3, 178?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 348*m**2. Let z(i) = 5*i - 4. Let u(p) = -p + 1. Let s(r) = -4*u(r) - z(r). Give d(s(c)).\nAnswer: 348*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 496, 1833, 4004, 7003, 10824, 15461, 20908?\n\"Answer: -z**3 + 423*z**2 + 75*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 + (-1 - -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700*i = -2*a - 699*i - 6, 2*i = -a - 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from qfeexqqmxeeqeqeeffx.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12, 39, 80, 141, 228, 347, 504, 705?\n\"Answer: h**3 + h**2 + 17*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594 is divided by 390?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s + 21. Let n(r) = -9*r + 43. Determine -5*a(u) + 3*n(u).\nAnswer: 3*u + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/((sqrt(196)*4 - sqrt(196)) + sqrt(196)))\/(4*sqrt(11)*-6*2).\nAnswer: -sqrt(5)\/1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/16 and -29\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from nnoon?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24917 + -24917. Is 7\/2459 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17442 + -9746. What is the thousands digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**4 + 26268464*s**3 + 43127065094352*s**2 + 172507945155968*s + 172507840082176 = 0. Calculate s.\nAnswer: -3283556, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l = -10. Let x = 12 + l. Let j be (-1 + x + -3)\/(-2). Let m(p) = p + 1. Give m(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71313971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 4*m + 12*m - 378 = 0. What is the remainder when 278 is divided by m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 516 by 86.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -4, 4, -1\/4, -11, 0.1 in decreasing order.\nAnswer: 4, 0.1, -1\/4, -0.8, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(2*k + 0*k + 0*k) + (-1 - 8 - 14)*(0*k + 3*k + k).\nAnswer: -90*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 1\/779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*g*m**2 - 2*b*g + 2*b*m**2 + 2*b*m + 137*g*m**2 - g*m - 2*g wrt m.\nAnswer: -2*b*g + 4*b + 274*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15487 + -15487. Which is the fourth biggest value? (a) 4 (b) -3 (c) 997 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**4\/4 - f**2\/2 + 10*f - 670. Suppose 0 = s + 2*s. Suppose s*v = 3*v. Give u(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 12 - -11 - (3 - -6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 165801?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*o + 2063 - 302 = -719. Calculate the least common multiple of 1520 and o.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*u**2 - 7*u**2 - 6*u**2 - 34*u**2 - 12587*u.\nAnswer: -2*u**2 - 12587*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56460.728289 + -49726.7073041. Let t = -6734.33 + j. Let b = t - -0.309. What is b rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 10 + 4 + -9 - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inlnihlihiin. What is prob of picking 1 l, 1 i, and 1 n?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -0*c. Suppose v - 3 = -3*q - 5, c = 4*v - 4. Which is smaller: q or 1\/22?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 643 by 4.\nAnswer: 643\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -89. List the prime factors of y.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 5*b**6\/4 - 81*b**4\/4 + 8*b**2 + 27*b. What is the second derivative of w(r) wrt r?\nAnswer: 900*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/3))**(-33\/2)\/(g**(-18)\/(g\/(g*g**10*g))))**38 assuming g is positive.\nAnswer: g**(-779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4006036 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0560052 minutes in microseconds?\nAnswer: 3360312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 672 and 1008?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v - 14. Let n be i(8). Let u = 8 - 1. Solve n = m + u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 8:52 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 4*v + 23, 0 = 3*c - v - 47 + 55. Let z be (-4 + 1)*4\/3*c. Calculate the greatest common factor of z and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r. Let c = 424 - 427. Let p(t) = -13*t - 2. Let g(y) = -13*y - 3. Let h(i) = c*g(i) + 4*p(i). What is h(o(w))?\nAnswer: 39*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -14 - 1\/4*p**4 - 7\/3*p**3 + 2*p**2 + 4*p. Does 4 divide q(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19842 and 30?\nAnswer: 99210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3781448 and -57\/1203188.\nAnswer: 26470136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 692677885 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 = -2*z, -4*o + 3*o - 3*z - 3 = 0. Suppose -o*n - 218 = -8*n - 3*v, -3*n - v + 134 = 0. Calculate the remainder when 88 is divided by n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4669228 is divided by 1167303.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -p + d - 3*d, 4*d + 28 = -4*p. Sort 0, -4, p, -10.\nAnswer: -10, -4, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.46, -0.3, 111, 2, -0.4, 1\/9?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (2 + 4 + (-11076)\/(-24))*2 and 935?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, w: 1, z: 1, q: 2, t: 2}. Give prob of picking 2 t and 1 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9525 or -28577\/3?\nAnswer: -28577\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i - 4236. Calculate g(-32).\nAnswer: -3948","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m = 36*m - 2. Solve -3*b = -5*l + 29, 3*b + m*b = l - 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (238 - 189 - 156)*(40*o**2 - 15*o**3 - 40*o**2 - 7*o**5).\nAnswer: 749*o**5 + 1605*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -6*w + 0 + 0*w**3 - 5\/2*w**2 + 1\/8*w**4. Let d(m) be the first derivative of f(m). Let a(p) = p. Determine a(d(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 4*g + 9. Let w be f(2). Suppose 8*t - 6*t = 0. Suppose t*m - 15 = -3*m. Sort -5, 2, m, w in decreasing order.\nAnswer: m, 2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 5, -3, 6.\nAnswer: -3, 0, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/6 in 0.5, -0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxwfw. What is prob of picking 1 x and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*r**3*u - 50*r**2*u - 14*r*u + 4*r wrt r.\nAnswer: 336*r*u - 100*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*c**5 + 1404*c**4 - 48*c**2 - 151*c + 2 wrt c?\nAnswer: -3720*c**2 + 33696*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.4 - -5.4. Let b = -8.999998 - s. What is b rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007753 to 6 dps.\nAnswer: 0.000775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -a + 12, 3*c - 4*a = -15 - 0. Let r(j) be the first derivative of 0*j + 1\/3*j**c + 10 + 0*j**2. Let l(z) = -24*z**2. What is r(l(w))?\nAnswer: 576*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3 + 0 - 5 - 15*o + 3. Is r(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9224*n - 323293 = 154088 + 186747 for n.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*d**3 - 8*d**3 + 11*d + 2*d**3 + 13*d - 25*d.\nAnswer: -31*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, 3, -1, 271, -15, 4.\nAnswer: -15, -1, 3, 4, 5, 7, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4352723742 to the nearest integer?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3360 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*f = 46*f - 4. Suppose a + 4*x = 10 + f, -4*a = 4*x - 20. Sort -3, 3, a, 0.\nAnswer: -3, 0, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - 5) + (70 - 141 - -99).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8\/5 (b) 2\/3 (c) 17 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4440 - 4436. Let x(w) be the first derivative of -7 - 5\/2*w**s - 11*w + 0*w**2 + 0*w**3. Differentiate x(u) with respect to u.\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13176 by 4.\nAnswer: 3294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 6*s - 148. Suppose -5*f + 3*c = -172, -5*f + 4*c + 259 - 83 = 0. What is the greatest common divisor of s and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -711481\/1155 + 4314\/7. What is the common denominator of -121\/216 and g?\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18632 and 1507?\nAnswer: 204952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -132 + 132.6. Let n(i) = i**3 + 4*i**2 - 4*i + 3. Let j be n(-5). What is the third biggest value in j, u, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a3919 (base 15) to base 11.\nAnswer: 7a3036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n + 66 + 6 = 0. Which is the closest to 1? (a) -6\/5 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 66. What is the derivative of -15 + q - 10 - 7*m**2 wrt m?\nAnswer: -14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10680640 or -10680638?\nAnswer: -10680638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*h - 28*h - 80 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4549812 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, b: 3, f: 4}. What is prob of picking 3 f?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 6*y + 15. Let j be p(4). Suppose 0 = j*m - 10*m + 12. Solve m*a = -0*a + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 12 = 2*h + 3*v, -2 = h + v. Suppose 7 = 4*t + h. Let j(y) = 3*y - 2. Let k be j(5). Put k, t, -5 in increasing order.\nAnswer: -5, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00252*0.5\nAnswer: -0.00126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 16. Let n be v(13). Let s(a) = -a**3 + 1. Let g be s(1). Suppose p = 3*l - 5, g = -0*l - n*l - 4*p + 25. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -11*(0 - -2)\/2. Let d(f) = -f - 2. What is the units digit of d(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85*l + 942*l**2 + 52*l - 939*l**2 - 36.\nAnswer: 3*(l - 12)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 900 = -r + 903, -3*b - 11 = -4*r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4936?\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 68*n - 67*n = -132*n, 0 = 3*r - 5*n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 722?\nAnswer: 7942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 903277451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -297, -436, -575, -714?\nAnswer: -853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24726 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5 - 11, 4*d - 5*f - 1047 = 0. List the prime factors of d\/1 - 24\/(-8).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1490*i = -1495*i + 1340. Calculate the remainder when i is divided by 142.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2773 divided by -47\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4908 - -5621. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t - 6*t = -2*f + 22*t + 6*t + 37, -2*f + 2*t = -40 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -6*(-2 + (sqrt(17) + 0 + 3 - (sqrt(68) - sqrt(68)*1)\/sqrt(4)))*-5)**2.\nAnswer: 1740*sqrt(17) + 16141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 207 (base 8) to base 7\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1898883 and 3927?\nAnswer: 20887713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 237\/7. Let m = -7.4923 - -2.4923. Let z(w) = -w**2 + 2. Let j be z(-2). What is the closest to j in m, y, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -125213315?\nAnswer: 125213310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-21)\/18)*(-34)\/68?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934 a factor of 159243336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f**3 - 3*f**2 + 4*f + 2. Let j(g) = -4*g**3 + 3*g**2 - 3*g - 2. Let w(c) = -4*j(c) - 3*p(c). What is the lowest common multiple of w(2) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s + 10. Let d = 47 - 47. Let p be -2 + (-2 - (3 - d)). Determine j(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/16 - (5 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3))**48*(x*x*x**(-2\/5))**(-2\/29) assuming x is positive.\nAnswer: x**(2304\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2787*q**2 - 1341*q**2 - 61 - 122*q - 1445*q**2)*(-2 - 4*q - q + 4*q) to the form u*q + p*q**3 + n + x*q**2 and give u.\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 0 + 11*d + 0*d**6 + 1\/245*d**7 + 0*d**3 + 4*d**2 - 1\/210*d**5 + 0*d**4 + 1\/588*d**8. Find g such that s(g) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 720200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1476\/28241 or 1?\nAnswer: 1476\/28241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - k - 76, -5*r - 6*k + 53 = -71 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14755 = -730*f + 25376 + 35059 for f.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 10 = -6*i. Solve -i - 20*w - 2 + 0*w**2 - 9 - 4*w**2 = 0 for w.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**5\/20 + 5*g**4\/3 + 279*g + 15. Let x(f) be the first derivative of l(f). Factor x(h).\nAnswer: h**2*(h + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*15\/(-18) + 1. Let i = -11.8 + 14. Let y = i + 1.8. Which is the smallest value? (a) 2\/11 (b) k (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46681?\nAnswer: 46681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 43\/(-8) + -5 + 258\/48. What is the smallest value in c, -17, 1, -0.11?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 10, -0.4, -13 in increasing order.\nAnswer: -13, -0.4, 0.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25, -25, -107, -221, -367, -545?\n\"Answer: -16*u**2 - 2*u + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 58*b**2 + 16*b - 12. Let n be g(4). Calculate the greatest common factor of 40 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**6\/1260 + s**5\/70 - 3*s**4\/28 - s**3\/3 + 2*s - 3. Let j(g) be the third derivative of m(g). Factor j(o).\nAnswer: -2*(o - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z - 24*z + z**2 - 14*z.\nAnswer: z**2 - 44*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from rhvnnhvrhhvhvrr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(0 + 0 - z)*(-4*z - 3 + 3).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(2\/18)\/(160\/(-240))*3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -20 + 8 + (-8 - 21)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0667 * 7\nAnswer: 0.4669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 7 - 7 + 11.\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.088 + 0.188. Which is the smallest value? (a) i (b) -3 (c) -4 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.98 - 8.98. Sort b, 2\/47, -1 in increasing order.\nAnswer: b, -1, 2\/47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*t + 13183 = 12451 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437*g - 31176 = -3*d - 434*g, d = 4*g + 10395. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 25. Let y be (z + -6)*1\/2. Suppose 2*j - 3*j + 5 = 0. Solve 19 = 3*n - s, j = -y*n + 2*n - 5*s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 406, 410, 414, 418?\n\"Answer: 4*z + 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719584 a multiple of 575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, c: 1, w: 1, s: 1}. What is prob of picking 1 c, 1 s, and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17913 - -30661. List the prime factors of o.\nAnswer: 2, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**5\/10 - f**2 + 41*f. Let o(l) = 3*l**3 - 3. What is -7*g(m) + 5*o(m)?\nAnswer: m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2. Let p(d) = d**3 - 5*d**2 + 3*d - 4. Let z be p(6). Suppose 81 + 19 = 2*i. Let h(a) = i*a + 2*a**2 - z*a. Give g(h(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**3\/c*(c*(c*(c**(2\/5)*c)\/c*c)\/c*c*c)\/c*(c**(-1\/2)*c)**(1\/8))\/((c\/(c*(c\/c**(-2\/7))\/c))**(2\/109))**(-1\/79) assuming c is positive.\nAnswer: c**(35985049\/4822160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*j - 3056, 0 = -5*j - 3*r - 0*r - 5132. Let d = j + 2026. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 35. Let r = t + -9. Let i(p) = 5*p - 2 + r - p**2 - p + 2*p. Give i(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbl when three letters picked without replacement from {l: 2, z: 7, b: 7}?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -147*u**2 - 24*u - 14. Calculate p(3).\nAnswer: -1409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3245\/8 + -9617\/24. Calculate the common denominator of v and 91\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 9:28 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 520*t**2. Let l(n) = 80*n**2. What is w(l(j))?\nAnswer: 3328000*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x**2 - 68*x - 38. Calculate the remainder when 150 is divided by v(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/41)*n*n*n**(1\/12)*n)\/((n*n\/(n\/(n**35*n))*n)\/n)**(11\/5))**(5\/6) assuming n is positive.\nAnswer: n**(-192539\/2952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -291, -5 in ascending order.\nAnswer: -291, -14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -9. Let t be 6\/g - (-12 - -1). Suppose -2*s + 6*f = 10*f - 24, -4 = -2*s + f. Solve t = -s*l - 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 154781*j**5 - 66*j**3*y + 1137024*j**2*y - 3*y wrt j.\nAnswer: 9286860*j**2 - 396*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5892 divided by -982.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*f - 712 = 0, -5*f + 354 = -5*w + 2084. Calculate the greatest common factor of w and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 6:34 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -79881, -79924, -79993, -80088, -80209, -80356, -80529?\n\"Answer: -13*n**2 - 4*n - 79864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 2*i + 5, -2 = -2*m + 24*i - 23*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 15 - 5. Let o = 0.0625 + -1.3625. Which is the third biggest value? (a) q (b) 0.4 (c) o (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*s**4 + 616*s + 4*s**4 + 16*s**2 + 8*s**3 - 648*s.\nAnswer: -4*s*(s - 2)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2064116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 0.9. Which is the nearest to -0.2? (a) 3\/2 (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 divided by -884?\nAnswer: 95\/884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.49, 1\/2, 1\/4, -2 in descending order.\nAnswer: 1\/2, 0.49, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/73902 and 127\/2712?\nAnswer: 295608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 185 (b) 2 (c) 2\/15 (d) 5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*r*t - r*x + 11*r - 14*t**4*x + 11 with respect to t.\nAnswer: 5*r - 56*t**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (14854\/56)\/(2\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12 - 12 - 17*b**2 - 34*b**4 wrt b?\nAnswer: -816*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5773 divided by -251?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 8\/6)*(-12)\/10. Suppose p*x - 14 - 190 = 0. Calculate the remainder when 190 is divided by x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 56*j**2 + 7*j - 1969. Determine b(57).\nAnswer: 1679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 37389490.\nAnswer: 11216847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 88824.22 centuries in months?\nAnswer: 106589064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) 0.2 (b) -9\/32 (c) -4 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (3 + -13 + -2) - (-8 + 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2646630169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1913*h - 12. Let r(i) = 2*i. Calculate r(g(u)).\nAnswer: 3826*u - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15260 and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 11*g**2 - 108 + g**3 + 109 + 16*g + 6*g**2. Let h = -47 - -31. Let a be f(h). Solve -4*u - 1 = 2*d + a, -3*d = 15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-50) - (-3)\/15.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 4. Suppose 4*z - 4*q - 4 = 0, 0 = -3*z - q + 6*q + 1. Let o be 1 - z - 9\/(-15). What is the third smallest value in o, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*h - 184, -h - h = -5*q - 92. Suppose -h = -m + 10. Is 28 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 a factor of 14896536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 33\/6*16\/24. Which is the fourth smallest value? (a) 11 (b) -6 (c) -2\/9 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8595 + 8597. Let l(u) be the first derivative of 0*u + u**5 + 0*u**4 + 0*u**a - 3 - 5\/3*u**3. Let l(q) = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15485 is divided by 109?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, b: 6, u: 1, o: 2, y: 5}. Give prob of sequence by.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 565748.4 litres?\nAnswer: 565748400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 7383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.450976 to two dps.\nAnswer: 5.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 27145*t - 298596. What is f(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**2 + 1075*y + 8693. Give t(-8).\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*t - 160 = -164*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 7:20 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(2\/69)*j**(3\/11) assuming j is positive.\nAnswer: j**(988\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 18. What is the closest to c in -0.4, -3, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5786, -11565, -17342, -23117, -28890?\nAnswer: -34661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85764?\nAnswer: 2, 3, 7, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348609553.\nAnswer: 17713, 19681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c**3 + 5*c**2 + 7*c. Suppose 3*s = 3 + 6. Let p(w) = -2*w**2 - 3*w**s - 3*w + 6*w**3 + 0*w. Let t(z) = -10*p(z) - 4*u(z). Factor t(l).\nAnswer: -2*l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 17719*v - 3139663. Determine m(-179).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2611 + -56?\nAnswer: -2667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*x + 242 = 0, -4*b = 3*x - 173 - 16. Sort 2, -1, b in ascending order.\nAnswer: -1, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010212 + 10?\nAnswer: -1010202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 16*g + 40. Let a be r(4). Let y(b) = 9*b - 19*b + a*b. Let w(v) = 15*v**2. Determine w(y(n)).\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 164*p**3 - 10*p**2 + p - 9. Let c(q) = -55*q**3 + 3*q**2 + 3. Let b(d) = -7*c(d) - 2*l(d). Let y be b(-2). Let a = y - -682. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 978 + 76. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(8) + -4))**2 + 0 + -2*sqrt(392).\nAnswer: 372*sqrt(2) + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 13 + 7 = 4*o, 0 = -4*u + 5*o. Let l(n) = -3*n + 10 + 4*n + n. Let t be l(u). Solve t = g - 0*g - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 307.4 + -349. Let n = -47 - v. What is n rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.78 to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 230? (a) -2 (b) -1.6 (c) -1 (d) 0 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -3025269 and -3025273 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 187300 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by -109934.\nAnswer: 1\/2893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - c**2 - c. Let z(k) = 6*k**3 + 2*k**2 + 2*k + 2. Let r = 3008 - 3006. What is r*v(h) + z(h)?\nAnswer: 4*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 6. Let g be v(-6). Suppose h - 11*h + 0*h = 0. Suppose 19 = 3*y + d, h = -2*y - 2*d + 5 + 13. Solve g = 2*x - 5*o - 12, x + y*o = -9 - 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/2)\/(-90)*12\/80*5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10857765979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 94.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 67 + 4 + -2 + 2 - 3. Suppose 77*z = x*z. Is z equal to -1\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -126, -0.1, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10 and 486887?\nAnswer: 486897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 167 + 166 + 175 + 172 + 4*h**2 - 3*h - 673. Let f(d) = 3*d**2 - 2*d + 7. What is -3*f(i) + 2*v(i)?\nAnswer: -i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + z + 33, -5*z = 2*n - 0*n - 3. Is 10 a factor of 3 + n\/(-4) + 505\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166 + (-5 - -64 - -30).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347*j + 347*j + 319*j**3 - 320*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a - 12. Let w be m(-8). Solve -w*n - 8 = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8\/329?\nAnswer: 8\/329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-315)\/(-120)))\/((-4)\/14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2. Let i(o) = -39*o**2 - 3 + 8 - 5. What is i(t(n))?\nAnswer: -39*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 8*a**2 - 9*a - 14. Let x be s(14). Let t = x + 2137. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - q - 7. What is l(-6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 130956.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.23 + -10.77. Which is the fourth smallest value? (a) -2 (b) 3 (c) w (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -22. Sort 3, -3, x in decreasing order.\nAnswer: x, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + -885405 + (-1 - 2)*(-392)\/(-294). What is u rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55784204 is divided by 31?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 17, 0.9, -0.5, -3.816, -7, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10650*l**2 - 4*l - 2730.\nAnswer: 21300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 565186858 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4718 divided by 14383\nAnswer: -4718\/14383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5869, 5860, 5845, 5824?\nAnswer: 5797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from gununnngnngn?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -97*r**5\/30 + 3*r**4\/8 + 5*r**3\/3 - 2*r**2. Let b be t(10). What is b rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**3 + 10*c**2 + 47*c + 25. What is the units digit of y(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o + 165. Let b be p(19). Solve 3*u - 44 = -b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*((sqrt(891) - 1*sqrt(891) - sqrt(891))*-2 + -4))**2.\nAnswer: -20736*sqrt(11) + 515520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -222780656?\nAnswer: -222780656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q. Let z be 0 + (-14)\/4 + (-5)\/10. Let h be 3\/(-5 + (-22)\/z). Let j be (9\/h)\/((-15)\/(-20)). Let i(u) = 2*u - 1. What is j*i(t) + 3*a(t)?\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w**2 + 5*w - 20. Let p be d(-9). Let a = -380 - p. What are the prime factors of a?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16924 + 2*x + 16924.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1313270 divided by 511\nAnswer: -2570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -397525740, -795051482, -1192577224, -1590102966, -1987628708?\n\"Answer: -397525742*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 103 - 579. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76.7 times 3\nAnswer: 230.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -166?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33922, -33922, -33924, -33928, -33934?\nAnswer: -33942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4740546.\nAnswer: 2, 3, 173, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101110100001 + 1?\nAnswer: 100101110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**2 + 22088*i - 484000 = 0. Calculate i.\nAnswer: 22, 5500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1667777628?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42243 divided by -3.\nAnswer: 14081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3605.992 years to decades.\nAnswer: 360.5992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o. Let b(k) = -k**2 + 4*k - 4. Let y be b(4). What are the prime factors of m(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -37*c + 372. Let k be r(10). Solve -9*d = 34 + k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 15) to base 5.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*w**5 - 4*w**4 + 210*w?\nAnswer: 1020*w**3 - 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 14. Let o be s(0). Let m = o + -10. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -346.6 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 53, 95, 137, 179, 221?\n\"Answer: 42*v - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = 3*w - 96. Let u be 2500\/(-2)*(-8)\/w. What is u rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(20)\/sqrt(4) + sqrt(5)))**2 + (sqrt(11) - ((-3 + sqrt(11))**2 + 5)).\nAnswer: -89\/4 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 954.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25277107.0000013 - 25277105. Let l = 2 - x. What is l rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6366*s - 6366*s + 19094*s - 6367*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j + 9 = 0. Suppose -j*r = -59 + 23. Let n = -88 - -92. Solve 5*x - 3*k = -r, -n*x = 2*k + 1 + 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 52 + (30 - 96)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -7. Let s(f) = f**2. Let j = 5 + -7. Let y(k) = k - 1. What is j*y(g) + m*s(g)?\nAnswer: -g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - r = -2, 4*u + 4*r + 3 = -5. Suppose -9 = -5*v + d, -5*v + u*d = 1 - 9. Let y be (v - 0) + 6\/(-3). Is -1\/5 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 3, p: 5}. What is prob of picking 1 l and 1 d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1060 (base 7) to base 16.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 118*i - 6 - 9 - 116*i - 4*i + 6*i - 3*i + (-1 + 1 + 2)*(-30*i - 4424 + 4424) as s*i + w and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcwdw. Give prob of picking 2 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*j + 155 + 34 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2307*q - 26812 - 35477 = 0 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 4:50 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002053 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57109012559\/7812 + 51172918\/7. Let q = d - -56\/279. Calculate the common denominator of q and -43\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, a: 8}. What is prob of picking 2 a?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, t: 7, v: 3}. What is prob of sequence vt?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 5*t = -2, 4*q - t = -8363 + 8367 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**5\/20 - 3*s**4\/8 + 5*s**3 + 177*s**2\/2 - 19*s. Let z(w) be the first derivative of i(w). Solve z(q) = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22471155, -22471167, -22471181, -22471197, -22471215?\nAnswer: -22471235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - y - 260, -m + 107 + 177 = 5*y. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -41*i + 249. Let p be z(6). Let r = -195 - -979\/5. What is the third smallest value in -3, r, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**29)**(-2\/115)*c*c*c*c**42*c\/((c*c*c**(5\/7)\/c*c*c*c*c)\/c*c))**(-12\/5) assuming c is positive.\nAnswer: c**(-393864\/4025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 1 + sqrt(720) + (1 + sqrt(20))*-5)*2 + (sqrt(405) + 2 + sqrt(405)*-1)**2 + sqrt(405) + 1*sqrt(405)*-2 + -5.\nAnswer: -9 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -462*o. Let d(q) = -49*q. Calculate s(d(t)).\nAnswer: 22638*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2\/5 (b) -22 (c) 3\/10 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 - 2 + 2 + 0 + 2*z**2 + 0 + (2 + 3*z - 2)*(0*z + z + 2*z).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.39 (b) -2\/4525 (c) -0.3 (d) -7 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2638 or 4?\nAnswer: -0.2638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n = 27*p - 22*p + 31, 0 = -p + 2*n - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*28\/(-6)*-3. Let a = -373\/536 + -12\/67. Calculate the common denominator of (s\/1)\/(48\/(-21)) and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 9. Determine t(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 0.052, 0, -5, 262, -1\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1252.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 3. Let x(d) = -d**2 + 1. Let z(b) = c(b) + 3*x(b). Let j(m) = m + 6. Let p be j(-4). Let k(t) = -2*t - p*t - 1 + 1. Give k(z(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8875438ml?\nAnswer: 0.0008875438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, s: 1, h: 2}. Give prob of sequence sb.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 14 + -2 + (111 - (24 - 11))\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h**2 + 2*h + 1. Let w(z) = 6*z - 13. Suppose 30*k + 12 = 32*k. Calculate the lowest common multiple of w(k) and v(-1).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**5\/6 - 35*i**4\/3 - 1799*i**3\/6 + 3196*i**2\/3 + 138194*i\/3 + 453544\/3 = 0 for i.\nAnswer: -14, -4, 13, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 29.6. Let n = p + -22.6. Which is the closest to 0.1? (a) -4\/13 (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 55\/5 - 5. Suppose 4*u - 68 = -z. Let d be 5\/u*3\/2*10. Calculate the highest common divisor of 10 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1721021*s**2 + 400906*s - 4.\nAnswer: 3442042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 202 (b) 0 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 724.04 - 724. What is the biggest value in -8, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -584 greater than -12254\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.18031 rounded to 2 decimal places?\nAnswer: 3.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - -15 - (-7 + 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -24, 4, 1?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -297.3 and 2193209.32426.\nAnswer: 2192912.02426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k + 10*k + 18*k)*(1 + 0 - 3).\nAnswer: -66*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5888627964 and -3.\nAnswer: 5888627961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 83)*(-5)\/(-10). Suppose -3*l - z = -186. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12414\/8)\/(7\/(280\/15)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2. Let g(z) = -2*z**2 + 4. Suppose 2 = -2*s - 2*c, -4*s + 11*c = 7*c - 12. Determine s*g(j) - p(j).\nAnswer: -j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33.3 + -4.7. Let s = y - -37.948. Let j = -1.052 - s. Put -2\/13, 2, j, 0.1 in increasing order.\nAnswer: j, -2\/13, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5223.8 + -5224. Is -272 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37734893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -4, 2, 0.4.\nAnswer: -18, -4, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 413104 to the power of 1\/2, to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -424 + 0?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/194 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 8:25 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - v**2 + 3*v + 2. Let r(t) = 2*t + 4. Let y be r(-3). Let q be b(y). Solve -2 + q = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xcv when three letters picked without replacement from {f: 2, k: 8, c: 2, g: 5, x: 2, v: 1}?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 9. Let k be y(19). Calculate the highest common divisor of k and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29083860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 4837168 and 4837169 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0005, -732, -312?\nAnswer: -312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 48*p**2 + 163*p + 532. What is x(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c + 11*c - 7*c - 3*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 12:16 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2122*c + 27. Let f be z(5). Let a = f + -159482\/15. What is the common denominator of 121\/6 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 33*b + 37*b + 8 = 0, 2*l - b = 14. Solve l*j - 128 = -148 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142524 by 47508.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 1. Let m(k) = 13*k - 5. Let x(s) = -s + 8. Let q be x(6). Determine q*m(w) - 9*h(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - -781db6b?\nAnswer: 781db62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 17*p**2 - 17*p + 22. Let y be g(16). Suppose 2*n = y*n - 196. Let o = n - 29. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3883 is divided by 158?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -0.3, -2.2, -0.2, 868.\nAnswer: -2.2, -2\/5, -0.3, -0.2, 868","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/5, 0.1, -2, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 2*d = 2 - 12, 3 = 3*s - 3*d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**5\/3 - 24*r**2. Let c(n) = -2*n. Determine c(h(f)).\nAnswer: -40*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t = -10*t - 95 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (69\/(-9) - -8) + 3350\/(-6). Let d = s + 573. Solve -17*k = -20*k - d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 775325 and 173075.\nAnswer: 5367574975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*q**4*z**2 + 208*z**2 wrt q.\nAnswer: 20*q**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 367.2 plus -253288985?\nAnswer: -253288617.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 5:12 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1194153792 to the nearest integer?\nAnswer: 34557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1728, 3386, 4998, 6570, 8108, 9618?\n\"Answer: k**3 - 29*k**2 + 1738*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((-3 + sqrt(396) + 1 - (sqrt(396) + sqrt(396) + (sqrt(396) - -2*sqrt(396))*-6)) + 3)*5 + -3))**2.\nAnswer: 2040*sqrt(11) + 2861104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4894213 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 2:23 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**2\/8 + 9*s\/8 - 21\/2 = 0. Calculate s.\nAnswer: -7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 31*f**2. Let s be g(-1). Suppose 36*o - 15 = s*o. Solve o*x - 5*m + 6 = 2*x, -3*m - 14 = -5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*c**6 - 114159*c**5 + 781787*c**2.\nAnswer: -840*c**3 - 6849540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -953, -1012, -1075, -1142?\nAnswer: -1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -16) + -3 + -7 + -4 + 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -702877?\nAnswer: 702876.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j**2 + 2*j - 2. Suppose 0 = 2*n - 8, 0*n = 2*r - n - 18. Let q(u) = -4 + r*u**2 - 2*u**2 - 1 + 4*u - u**2. Let v(m) = 2*q(m) - 5*x(m). Factor v(i).\nAnswer: -2*i*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (37 - 36)\/(1\/65) is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1408 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1308214*n**2*s**2*w**2 + 2*n**2*s*w**2 - 2*n*s**2*w - 35*n*s**2 - 30*n*s - 2*s**2*w**2 + 2*s**2*w + 2*w wrt n.\nAnswer: 2616428*s**2*w**2 + 4*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 2*r**4\/3 + 3*r**3\/2 - 81*r. Let g(v) = -7*v**2 - 8*v. Give -4*g(p) - 3*k(p).\nAnswer: 4*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.6711 times -0.03?\nAnswer: 1.220133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrjlkjrjrrljljfjllrg. Give prob of picking 1 f and 1 g.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -7*s + 1. Let k be r(-2). Suppose -4*w = 2 - 18, 5*p = -w + 69. Let x = k - p. Solve 5*q - 17 = t + 2*q, -x*q = 5*t + 17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 9*n - 5. Let r be y(-5). Suppose f = 3*x - r, -7*x - f + 20 = -3*x. Solve -7 = -3*u + x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t. Let k(u) = 31 - 2*u - 116 + 21 + 29 + 26. Determine l(k(m)).\nAnswer: -2*m - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 21 = 4*h. Suppose -i + 3 + h = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1977.\nAnswer: 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -199 less than -197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 8 + -15 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**3\/6 + 3*u**2\/2 - 5*u. Give n(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 0, -76, -224, -468, -832, -1340, -2016?\nAnswer: -2884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6182698141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-7) + 764\/(-224) and ((-153)\/2)\/(6 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 10*m**2 - 18*m - 17. Suppose -6*z + 23 = -19. Let c be i(z). Solve 0 = u + h + c, 2*u = 6*h - 5*h + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((1*sqrt(304) - sqrt(304) - sqrt(304))\/sqrt(8) - -5*sqrt(114)\/sqrt(3))\/((sqrt(20)\/sqrt(160) - sqrt(2))*1))**2.\nAnswer: 160*sqrt(19)\/3 + 5089\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eccwcec. What is prob of picking 2 c, 1 w, and 1 e?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 195 - -161?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-524)\/(-20) - (63\/28)\/(60\/32)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (31 + -22 - 54) - 74?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4\/3 (b) 1\/4 (c) 4 (d) -80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -693 or 9?\nAnswer: -693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o**2 + 212*o - 18*o**2 + 29*o**2.\nAnswer: -3*o**2 + 212*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.92 - 0.08. Let s = p + 7.5. Suppose -5*d - 35 = 5*g, 2*d + 4*g + 18 = -0*d. What is the nearest to 1 in d, s, -3\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and 12.54?\nAnswer: 0.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17367578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 189117.\nAnswer: 5\/189117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 - -162. What is the highest common divisor of i and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a kilometer in meters?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -105 (b) 5\/3 (c) -0.6 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 4\/(-4) + (21 - 11)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 107\/5. Let f be (-15 - -8)\/21*-18. What is the nearest to w in -0.5, -0.1, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 528.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 9 + 27*n - 2295*n**2 - 17*n - 4*n**3 - 14*n + 2295*n**2.\nAnswer: -4*n**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15c - 1?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-774)\/(0 + -18) + 11?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.174 - -0.074. Let k = -2.2 - m. Sort 1\/2, -4, -5, k in ascending order.\nAnswer: -5, -4, k, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4588 (base 12) to base 4\nAnswer: 1320320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56364516 a multiple of 4153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 2467952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 647091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2245\/7 in 6.5, 0, -3\/4, -0.5?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 47 = 3*c, -5*j - 22 = -9*j - 2*c. Is (5 - -2) + -3 + 899 + j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41426154 divided by -11?\nAnswer: 3766014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10156, -9793, -9178, -8311?\nAnswer: -7192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((590\/4)\/5))\/(135\/(4590\/(-68))).\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -627784449, -627784446, -627784441, -627784434?\nAnswer: -627784425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t = -6. Suppose -13 = -5*p - 3*d, -3*d - 5 = 7. Suppose 0 = -p*o + 6*o - 1. Solve t = -k - o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**4\/36 - k**3\/3 - 4*k**2\/3 - 125*k. Factor q(d).\nAnswer: -(d + 2)*(d + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q**2 - 4*q + 4*q)*(5680 - 504 + 440) as j + x*q + o*q**2 and give o.\nAnswer: -22464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, y: 3, l: 1, e: 2}. What is prob of picking 1 l and 2 e?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t + 35. Calculate d(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 - 3*x**2 + x + 1. Let c be t(2). Let y(d) = -d**3 + 7*d**2 - 6*d - 14. Let i be y(c). Is (i\/3)\/((-2)\/18) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 12:17 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16, 87, 278, 649, 1260, 2171?\n\"Answer: 10*f**3 + f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279277936?\nAnswer: 2, 7, 709, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b + 3*z - 11 = 32*b, 5*z = -4*b - 31 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**3 - i**2 - 2*i + 3. Determine x(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + -3*(sqrt(176) + 4) + (0 + sqrt(176))*-1)**2.\nAnswer: 288*sqrt(11) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1 = 0, 30*b - 27*b - 2*p - 3385 = 0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 40 = 5*l + 9*w, -l - 3*w = 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 137 - 87. Let g = 121 + -86. Calculate the smallest common multiple of g and n.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2234011 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 150992.1 rounded to the nearest one thousand?\nAnswer: 151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v**2 - 26*v + 26*v + (-v**2 - v**2 + v**2)*(-399 + 197 - 15) to s*v**2 + f*v + q and give s.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-1694)*(-574)\/164?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aawarwadaw. What is prob of sequence ra?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 242604?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 909 (base 14) to base 9.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 50 - (-3 - (-2)\/((-6)\/(-3))). Suppose 18 - k = -17*q. Solve q*i - 1 = w, -w = -0*i + i + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.7 + -5. Let l = g - -0.3. Let t = 922 - 921.9. Which is the smallest value? (a) t (b) l (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163187.83 rounded to the nearest 1000?\nAnswer: -163000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - ((8 + -6 - 192) + -2). What is the second derivative of 268*a + 162*a - k*a**3 - 617*a wrt a?\nAnswer: -1128*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111996435 divided by 37332145?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 47*g - 42 = 51*g, 5*a = -3*g - 39 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18 - 2)\/(10\/(-25)). Let m = -37 - k. What is the first derivative of m + 0 - 8 - 7*x**4 - 16 wrt x?\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1096, 1094, 1090, 1084, 1076?\nAnswer: 1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87943?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 51485.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 534707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uufuuuuuuuuuu.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 357 and 21.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -64624, -64580, -64536, -64492, -64448?\n\"Answer: 44*l - 64668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -5217345.\nAnswer: -5217344.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hggghhgghgghhhghgh. What is prob of sequence ghgg?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -9*c - 5. Let g(z) = 50*z + 27. Let h(j) = -2*g(j) - 11*v(j). Let s = 3 + -10. Determine h(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqrtqdpppqqg. What is prob of picking 1 g, 1 d, and 1 q?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 23*b. Let n(l) = 19*l**2. Determine h(n(t)).\nAnswer: 437*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 2*k - 3. Let i = 504 - 513. Let o be -5 - (-10 + (-63)\/i). What is a(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652353319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -32*w + 28*w - 3*h, 0 = w + 2*h - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 285.2753t in grams?\nAnswer: 285275300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 80\/11583 and -43\/802191.\nAnswer: 238250727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -4 - 5 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 406073987?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 111734 to the nearest one thousand.\nAnswer: 112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -319, 2, -7, 1 in decreasing order.\nAnswer: 5, 2, 1, -3, -7, -319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/7 + 988*i**3\/7 - 990*i**2\/7.\nAnswer: 2*i**2*(i - 1)*(i + 495)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 7:29 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, 1, 0, 9, 525, -2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - j**2 - j**2)*(-28*j - 16*j + 5 + 41*j).\nAnswer: 6*j**3 - 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.4553025 nanograms?\nAnswer: 0.0000004553025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 2. Let k be g(-2). Suppose 3*l + k = f - 3, f - 3 = -5*l. Let w = -1 - l. Sort -2, 2, w in decreasing order.\nAnswer: 2, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.31707577 and 1991834.\nAnswer: 1991834.31707577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 256 and 160?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) 24.9 (c) -5\/4726\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c. Let k(a) = 35*a**2. Give p(k(y)).\nAnswer: -70*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 48. Let s be c(0). Suppose -4*p + p = -s. Let i = p - 17. Which is smaller: i or 3\/14?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/8 and -21\/272.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**6\/60 + 3*m**5\/25 + 3*m**4\/10 + m**3\/3 + 3*m**2\/20 + 98. Solve w(s) = 0 for s.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 22*u - 19 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7*i = 6*i - 615, -4*h + 1231 = -i. Calculate the smallest common multiple of h and 56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*p + 15*p - 8. Sort 0, -5, 5, p.\nAnswer: -5, p, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -4 (c) -17\/1437 (d) -2\/23 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9796 + 28783\/3. Let w = -201 - y. Factor -2\/3*k**4 - 1\/3*k + 1\/3*k**5 + 0*k**3 + w*k**2 + 0.\nAnswer: k*(k - 1)**3*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22346 - -26509. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 271*j**2 - 2*j - 3. Let q(f) = f. Give w(q(t)).\nAnswer: 271*t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(2\/(-74)) - 2. Suppose -5*x - 2029 = -2019, 0 = g + 3*x + 5. Sort a, -2, g in descending order.\nAnswer: a, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 - 133.05. Let t = -30 - z. Which is smaller: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82475*b**2*o**2 - 2*b**2*o - 133339*b**2 wrt o.\nAnswer: 164950*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 9*w + 13 = 5*w, -d - 3*w = 7. What are the prime factors of 120\/9*3 + d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-112))\/((-14)\/49).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22135, 177307, 598499, 1418725, 2770999, 4788335, 7603747?\n\"Answer: 22169*f**3 - 4*f**2 + f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - 2*b + 12. Give d(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351\/(5265\/(-150)) - (-6)\/(1\/(-1)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-1)\/((-276)\/(-32)). Suppose 10 = 2*j - 5*k, 112*j - 3*k - 6 = 108*j. Do j and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -25*d**2 + 280*d - 46. Determine q(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15d99 (base 14) in base 7?\nAnswer: -315552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**6\/120 - j**5\/5 - 5*j**4\/8 - 5*j**3\/6 - j**2 - 10. What are the prime factors of n(14)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675609.\nAnswer: 3, 11, 59, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2500 divided by -625\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6832 - 11056. Let b = -1765 - n. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 848.\nAnswer: 5936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.647918431 to 4 dps.\nAnswer: -4.6479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4\/3 - 7433*j**3\/3 - 1053674*j**2 + 6411280*j\/3 + 25407200\/3 = 0. What is j?\nAnswer: -6980, -455, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 - 3)*(3 - 1 - 3)*(-2*y + 2*y - 2*y) to the form h*y + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -82*c - 77. Let p(z) = -149*z + 17. Determine v(p(b)).\nAnswer: 12218*b - 1471","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 1512?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -940 = -17*u - 923 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 + -139. Let t = o - -63. Which is smaller: t or 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 30309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 7 = 3. Suppose i - 4*j - 16 = 0, 5*j + 10 = i - a. What is the third derivative of 9*z**6 + i*z**2 + 26*z**2 - 52*z**2 wrt z?\nAnswer: 1080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 16 - 65 - 6*q + 19 - 14*q.\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12726 and 3.\nAnswer: 12726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3459, 5789, 9671, 15105, 22091?\nAnswer: 30629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-82)\/(-325 + 284))\/(-2*2\/(-198)).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44894 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*o - 161 = 77*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f - 248 - 171 + 8*f + 419.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((6 - 2)\/(-8)). Suppose -q + 0 = 1, -4*q = j*y + 4. Let x be (1 - 3)\/(y + (-6)\/48). Calculate the greatest common divisor of x and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0080877527 rounded to 4 dps?\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 946 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 70*n**2 - 353*n - 4202. Determine z(-74).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47360*-2.6.\nAnswer: 123136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 12*m = -16*m + 17, -z = -3*m + 16 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 408 and 75752.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 2. Let k be ((-2)\/f - 1) + 1. Let x = k - -3. Solve 0*m + 5 = x*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccr when three letters picked without replacement from jrrccjccc.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 4*r = -10*r - 5*r + 90 - 70, -2*r + 64 = 4*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1099483780 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 4*b = -10. Suppose 0 = -2*j + b*j. Suppose j*p = -3*p + 5385. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 2*p + 22, -4*f + 2*p + 42 = 4. Suppose 5*b + 2 + f = 5*y, 5*y + 6 = -3*b. Solve -3*c + y*c + 6 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1147\/7 + 3056\/21. Let l = -15\/121 + 19\/10890. Find the common denominator of l and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94463 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10744876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 413 in 0.2, 0.43, -5?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2090, 7394, 12696, 17996, 23294, 28590, 33884?\n\"Answer: -r**2 + 5307*r - 3216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(34)\/sqrt(8))*5.\nAnswer: 5*sqrt(17)\/2 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44199581?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456*z**2 + 188*z**2 + 51*z**3 - 49*z**3.\nAnswer: 2*z**3 - 268*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(22))\/sqrt(11) + 2.\nAnswer: -2*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.19 - 11.69. Sort 3.4, -1\/3, b, 0 in decreasing order.\nAnswer: 3.4, b, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 98816227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (9 - 14) - 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 + 66. Is 7 a factor of d*(-2)\/15 + (-264)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49204418 to the power of 1\/3, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 247 - 245. Let w(d) be the third derivative of 0 + 1\/12*d**4 - 1\/60*d**5 + 0*d - j*d**2 + 1\/6*d**3 + 1\/120*d**6. Determine w(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 441 - 441.4. Let d = 1.3 + -0.3. Let p = -1 - d. Which is the smallest value? (a) p (b) y (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 12:33 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -46 - (2 + -1 + 4 + (-24 - -25)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13705 in -1, -70, 0.1, -16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j - 10. Let x(a) = -8*a - 20. Let y(t) = 13*p(t) - 6*x(t). Is 4 a factor of y(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.87 + 3.13. Which is the nearest to 6? (a) -4 (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -487, -972, -1463, -1960, -2463, -2972?\nAnswer: -3487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 85.92183 decades?\nAnswer: 859.2183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -2. Suppose -w*q + 32 = -4*v, 0 = 5*q - 3*v + 6*v - 64. Let k = 22 - q. What is the remainder when k is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 - 44*n - 5. Calculate w(-15).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 335 = 5. Let t(g) = g - 11. Let j be t(9). Let v be j\/(-1) + k\/2. Calculate the highest common divisor of 24 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 12:30 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(2*z - 2 + 2 + 5*z**2).\nAnswer: 10*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**6\/120 - 47*i**5\/120 - 83*i**4\/24 + 95*i**3\/12 + 59*i**2 - 6*i. Determine n so that x(n) = 0.\nAnswer: -19, -5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 463710 = 106290. What is f rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a - 12. Let o(j) = -j - 8. Let v(l) = -5*h(l) + 8*o(l). Let z(p) = -72*p + 1013. Let x be z(14). Give v(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19026758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.87 in 0.4, 1, -4, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 817 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5685 - -6655. What is the remainder when c is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-619*x**2 + 219*x**2 - 617*x**2)*(2*x**3 + 0*x**3 + x**3).\nAnswer: -3051*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 751.\nAnswer: 6\/751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8200*g**3*q**2 + g*q**2 - g*q + 29*q - 1 wrt g?\nAnswer: -49200*g*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -98b2e?\nAnswer: 98b2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-98044)\/(-5404) - 5\/(70\/(-12))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3097841701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*f**4 - 31*f**2 + 32199*f wrt f.\nAnswer: 912*f**2 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*h - 3*h - 168. Suppose 233 = w - 9. Does 6 divide (2 - w\/(-15)) + h\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*h - 2 - 1, 3*h - 6 = -2*w. Solve w*t + 2 = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4202*o**3 - 2208*o**3 - 2749*o**3.\nAnswer: -755*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 17 = -a - 2*a, -2*a = -10. Let p = -13481\/42 + 2206\/7. What is the common denominator of (477\/33)\/3*x and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**2 + 2*p - 15*p**4 - 7*p**2 + 13*p**4 - 96*p**3 + 263*p**3 to the form i*p + m + a*p**2 + z*p**4 + q*p**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.560342mm to centimeters.\nAnswer: 0.9560342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7060122, -7060070, -7060018?\n\"Answer: 52*n - 7060174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 4*a + 3*r + 79, 2*a - 43 = 5*r. What is the highest common divisor of 2394 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 10:24 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3*z = 12, -z - 13 = -4*r - 17 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvk when three letters picked without replacement from {b: 4, k: 2, w: 2, v: 3, l: 8}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from aabaaaaaaabaaba?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/((-34)\/7140*-14)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 25\/15 - 1\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 33d?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (770\/3520)\/(2\/12)*(-9)\/((-27)\/2).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15863208 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i. Let r(w) be the third derivative of -1871*w**5\/60 + w**4\/12 - 2*w**2 + 1054*w. Give r(y(c)).\nAnswer: -1871*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80847*w**3*y**2 + 776*w**3 + 2*w**2 + 1 with respect to y.\nAnswer: 161694*w**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71514 - 0.063981.\nAnswer: 71513.936019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7*l**2. Let b(t) = -508 + 508 + 11*t - 4*t. Calculate n(b(a)).\nAnswer: -343*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 100.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 1. Find the third derivative of 7*m**5 + 3*m**5 + 8*m**5 + 9*m**5 - c*m**2 wrt m.\nAnswer: 1620*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9373058 centuries in decades?\nAnswer: 9.373058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * 5433.\nAnswer: -488.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.93 + 5.77. What is the fourth smallest value in -1, -9, 1\/5, q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7*j + 55 = 0. Let n be (0\/5)\/1 + j. Suppose 2*v + 3*t = 158, 5*t = v - n - 68. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -235 - -142. Let g = 257 + z. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a century?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 + 113*x + 2. Let b be a(0). What is the closest to 0.2 in -1\/4, -1, -4\/5, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*b + 41*b - 6. Let a be ((-51)\/18 - b)*-6. Solve -11 = 4*t + a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2325*u - 14595 - 10980 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 69247.45.\nAnswer: 276989.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 6a1145?\nAnswer: -6a1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-480)\/(-384) - ((-36)\/1632)\/((-3)\/218)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2344635807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 9*s + 5*m = 32, 5*s = m + 56. Suppose -s*f = -14 - 10. Factor -4\/5 - 8\/5*g**2 + f*g + 2\/5*g**3.\nAnswer: 2*(g - 2)*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -260 - -9f89?\nAnswer: 9d29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 19*x**2 + x - 1. Let a(y) = y**2. Calculate 6*a(q) - g(q).\nAnswer: -13*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x. Let t(g) = -2*g**2 - 4*g + 15032. What is o(t(j))?\nAnswer: 14*j**2 + 28*j - 105224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 108949697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 96971*f**3.\nAnswer: 96971*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -14 and -7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2503 + 15292. Is n a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5124*n**2*t**2 + 8*n**2*t - 3*n**2 + 11*n*t**2 - 11*n*t - 17*t**2 - 5*t + 347 wrt t.\nAnswer: -10248*n**2 + 22*n - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 255 = 5*v, 3*c - 3*v - 159 = -2*v. Let n = c + -51. Factor 48*k**3 + n*k**5 + 0*k**4 - 42*k**3 - 9*k**4.\nAnswer: 3*k**3*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 - j + 1. Let x be a(-2). Suppose -64 = -8*p - 72. Put p, 2, x in decreasing order.\nAnswer: 2, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/8974 + 8387\/28600138. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 18*p + 5 - 5. Let s(w) be the second derivative of -w**5\/120 - 449*w**3\/6 + w - 271. Let h(j) be the second derivative of s(j). Give h(o(g)).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 9*x**2 + 2*x - 12. Let w be z(9). Solve w = 2*f + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 5*z - 16. Suppose -22 = -2*b + b. Calculate the remainder when b is divided by p(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 3*k - 37. Calculate the remainder when 247 is divided by m(-11).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -3. Suppose -c*d + 7 = -3. What is the derivative of 0 + j - 4 + d wrt j?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -201*k**5 + 38*k**2 wrt k?\nAnswer: -12060*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 397 divided by 6?\nAnswer: 397\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 44861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -25 times -9\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 732 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 6:28 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12502437 and 62520?\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12082355321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 263 = 5*d + 4128, -3*d = -2*p + 4381. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t**2 + 2. Let y(s) = -9*s**2 - s + 4. Determine 7*p(m) - 4*y(m).\nAnswer: m**2 + 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -30 + 6. Suppose b*m + 18 = x + 3*m, 0 = 5*x + m + 14. Let y = x - -3. Are 5\/4 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6*(-16771)\/(-8))\/((-270)\/2160). Suppose 590*s = 596*s - g. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9 + -8 + 9 - (2 - 0). Let k be 15*z\/9*(-3)\/8. Suppose -k*f**3 + 4*f - 1 - 11\/4*f**4 + 9\/4*f**5 + 15\/4*f**2 = 0. What is f?\nAnswer: -1, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*n + 62*n - 154 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*p - 171 - 161 = -826 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 28. Suppose -f + 2 = 5*k. Let g = -169\/4 - -42. Which is the closest to g? (a) -1 (b) k (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-12)\/(-8)) + -2. Suppose 7*x - x - 138 = i. Calculate the remainder when 84 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1953712 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*l - 92 = 48, l = -3*h - 86. Let q = 48 + h. Calculate the smallest common multiple of 6 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/20503 and 19\/1111.\nAnswer: 225533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 + 3*r**4 - 2*r**4)*(r + 3*r - 2*r) + 37*r**5 - 21*r**5 - 37*r**5.\nAnswer: -23*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23428422 is divided by 2342841.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/11 + 2740*l\/11 = 0. What is l?\nAnswer: -1370, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-485)\/(-55)) + (33 - 5110\/154).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*z - 10 = 0, -2*s + 5*z + 10 = 3*s. Solve -5 = s*h + y, -y = 5*h - 0*y + 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*h**5\/4 + 2157573*h**4\/2 + 7645401*h**3\/4 - 2498193*h**2\/2 - 1589685*h - 151398 = 0. Calculate h.\nAnswer: -25233, -2, -2\/3, -2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1360 by 4.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-45)\/(-100)*5)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v**2 - 2*v - 16. Suppose 0 = -s - 3*c, 0 = -28*c + 24*c - 4. Calculate the remainder when 106 is divided by h(s).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1012 - -717. Let i = 56 - g. What are the prime factors of i?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*l = -27 - 36, -4*u - l = -64. Let s = -2 + u. Let v(a) = 2*a**2 - 3*a + 5. Let n be v(0). Solve -s - n = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 7. Let b = -2 - t. Calculate the common denominator of -3 + b\/((-72)\/290) and 7\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 158.2 - -0.8. Let i = -158.9 + p. Which is the third smallest value? (a) i (b) -3 (c) 4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 390 or 9171?\nAnswer: 390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = r. Let a(q) = -2*q + 6*q - q**3 + 3*q**2 + 2 + 1 + r*q**3. Let u be a(4). Solve 3 - 6 = -u*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2297\/3 + 766. What is the third biggest value in k, 2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Let r(z) = -z + 2. Let c be r(d). Suppose 5*f + 3*t - 77 = 0, 0 = -3*f - 2255*t + 2254*t + 31. Solve -c*w = -3*x - 8, -f*x + w + 10 = -6*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -86, -47, 6, 79, 178?\n\"Answer: t**3 + t**2 + 29*t - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*m**4 + 53 + 3*m**4 - 57 + 2*m**3 - m + 17*m**4 - m**2 + 14*m**2 to the form l*m**2 + t + p*m**4 + b*m + z*m**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6 + 20*(-176)\/6240?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.1458 rounded to 1 decimal place?\nAnswer: 21.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}