diff --git "a/data/dm_maths/full_data_2/10727_11255.jsonl" "b/data/dm_maths/full_data_2/10727_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10727_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the greatest common divisor of 128 and 360?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*b - 475 = 0. Suppose 15 = -3*z + 5*a, -3*a = -0*a - 9. Suppose -2*j + 25 - b = z. Round j to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 w, and 2 d when four letters picked without replacement from {y: 1, b: 1, w: 4, z: 2, d: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o + 1677. Let x be v(0). Suppose 4*j = -269 + x. Suppose 3*m + k + 46 - j = 0, -3*m = -k - 300. Is 39 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6035, 6034, 6033?\nAnswer: 6032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2479427278?\nAnswer: 2, 23, 53900593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2) + -3)*-2. Let f = z + -1. Let u(t) be the third derivative of -t**4\/6 + t**3\/6 - t**2. Determine u(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96*(-6 + 581\/84) is divided by (-2)\/6 - (-120)\/9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/4 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/6*3\/(-2). Let j = r - -17. Suppose 72 - j = 3*c. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 4*m. Suppose 4*g + 3*x + 2*x = -1, 0 = 3*g + 4*x + 1. Let w be (-40)\/(-4) + (-3 - g). Let b be s(w). Are b and 12 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000110 - -10?\nAnswer: -111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -48. Let g = 126 - v. Suppose 2*x = 3*x - 11. Calculate the greatest common factor of x and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + 2 + sqrt(252) + -5 + (3*(sqrt(252) - (sqrt(252) + 1 + sqrt(252))) - sqrt(252)))**2.\nAnswer: 288*sqrt(7) + 2334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -510085 (base 10) to base 11\nAnswer: -319264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llsgsggglll. What is prob of picking 1 s and 3 g?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -56. Calculate the lowest common multiple of 6 and l.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 22.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33.4 - 33.9. What is the second smallest value in -95, k, -1\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76140333.\nAnswer: 3, 761, 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 3 - (-7 + 5 - -4). Suppose a*d - 3*d = 5*o - 606, -4*o = 3*d - 486. Calculate the highest common factor of 24 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 3. Let k be -4*((-6)\/(-8))\/((-3)\/2). Suppose -k*v + 108 = d, -w*d - 240 = -4*v - 0*d. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*(0 + sqrt(8)\/sqrt(4)*-1 + 2))**2.\nAnswer: -576*sqrt(2) + 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*y + 57 = -140*b + 139*b, y + 16 = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t = -3*o + 14, -o + 12 = 5*t. Let k(s) = 13 - 13 - t*s. What is the least common multiple of 8 and k(-9)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**9\/3024 + q**5\/30 - q**4\/6 - 8*q**2. Let w(m) be the second derivative of y(m). What is the derivative of w(u) wrt u?\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178105?\nAnswer: 5, 179, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuff. What is prob of picking 1 i and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -4*p - 32. Suppose 5*w = p*w + 3. What is the closest to w in -0.3, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 5*q - 6*q)*(4 - 1 + 0).\nAnswer: -3*q + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1 + 3 - 256*i + 250*i.\nAnswer: -6*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 p when three letters picked without replacement from ppmqpqpq?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a*a\/((a*a*a*a\/a**(-1\/3)*a*a)\/a)*a)*a\/(((a\/(a*a**8\/a))\/a)\/a)*(((a*a\/(a**(-2)\/a))\/a)\/a)\/a**(5\/6) assuming a is positive.\nAnswer: a**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-48))\/v**23 assuming v is positive.\nAnswer: v**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -82987259674 - -22?\nAnswer: -82987259652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 5, -4, 0.\nAnswer: -21, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**5\/20 - c**4\/8 - c**3\/6 + c**2. Give b(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.6 (b) -0.2 (c) 1 (d) -54\/13 (e) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5444?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-135)\/10) - (2 + -2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1702*a - 851*a - 850*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.7 or 5?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/14)*z**8)**(-4\/3) assuming z is positive.\nAnswer: z**(-218\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 985 (b) -4 (c) 0 (d) -26\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 10\/15 + (-2)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**9\/30240 - y**6\/360 - y**5\/20 - 3*y**2. Let l(u) be the third derivative of s(u). Find the first derivative of l(j) wrt j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 168743?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*b - 3. Let f = -2 - b. What is the least common multiple of 5 - (-3 - -2)*2 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 = 55*i + 20. Solve 0 = 4*d + 2*k - 2, -i*k + 7*k = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11202203000 (base 4) in base 9?\nAnswer: -2653062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12035389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -154, -185, -226, -277, -338?\n\"Answer: -5*d**2 - 16*d - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26031 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, p: 1, m: 4, k: 1, f: 4, l: 4}. What is prob of picking 2 m?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 9 = -0*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 9:52 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-10)\/4)*6\/(-24)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n**3 + 162*n**3 - 191*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*f**3 + 26616*f**2 + 117*f - 66767162 wrt f?\nAnswer: -12*f**2 + 53232*f + 117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/9995 - -73391\/5707145. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-153) - (-2)\/(-17). Let k = 4 - 2. Solve -k*w - 2 = -i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(64*g - 173*g + 71*g) + 47 - 47 + 33*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**4 + r**4 - 4*r**4)*(-6 + 1 + 4)*(64 - 12 + 57) as j*r**3 + s*r + z*r**2 + t + x*r**4 and give x.\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12002268 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24051*d**3 - d**2 - 2067*d + 330413592?\nAnswer: 72153*d**2 - 2*d - 2067","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + sqrt(125) - sqrt(5)) + 1.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08276, 30, -1.\nAnswer: -1, 0.08276, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*m = 37*m - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3446.8 and 6491?\nAnswer: 9937.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-10)*j*j**(2\/75))\/(j**0)**(3\/2) assuming j is positive.\nAnswer: j**(-598\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 11:15 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4564020 is divided by 22048?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -5104, -24, 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63*a*q*x**3 - 2*a*q*x**2 + 4*q*x**3 + 16*q*x with respect to a.\nAnswer: -63*q*x**3 - 2*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3826 and 376.\nAnswer: 719288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 916832830647\nAnswer: 916832830642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -122212011221112?\nAnswer: -122212011221110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -424 - -418. Let c(q) = q**2 + 12*q + 15. Determine c(r).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 1235 (b) -2\/7 (c) 21 (d) -5 (e) 3 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1\/2 (c) 5 (d) 0.174665 (e) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, p: 1, n: 1, y: 3, d: 8, e: 3}. Give prob of picking 1 e, 1 x, and 1 n.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195\/52 - (260689\/76076 + 4\/(-38)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 5 + 0*m**2 - 11*m - 2 + 3. List the prime factors of n(-11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 40, 57, 90, 145, 228?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 836*r - 431*r = 423*r + 270 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (1544\/(-2))\/(452\/(-2486))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -125 in 0.3, -1, -2, -1704, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 204 = 8*q - 4*m, 13*m + 34 = -q + 10*m for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -14.2.\nAnswer: 15.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 52863791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 5300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03597 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 12*f - 19. What is the units digit of w(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - t**2 + t + 1. Suppose 5*y = 3*o + 49, -4*y - 2*o = -6*y + 22. Let c(h) = -5*h**3 - h - 2 + y*h**3 + 5*h**2 - 4*h**2. Determine -c(w) - v(w).\nAnswer: -2*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3828 and 28536.\nAnswer: 313896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12003 (base 4) to base 2\nAnswer: -110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*q = 2*q + 2, -2*q + 4 = 0. Let y(u) = -u**2 - u + 9. Calculate y(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.84 + -7.84. What is the second smallest value in -20, s, 1\/4, 1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -195 greater than or equal to -193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-4)*(-16)\/12. Let x = -4 - -8. Let d = 0.14 + -0.24. Which is the second smallest value? (a) d (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3200*j**5\/7 - 16160*j**4\/7 - 91998*j**3\/7 + 340630*j**2\/7 - 16858*j\/7 + 30 = 0.\nAnswer: -5, 1\/40, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, o: 2, l: 1, p: 2, d: 7, y: 1}. Give prob of picking 1 l, 1 o, and 2 p.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1537*p**4 - 2*p**3 - p*x - 14*p - 11104530*x wrt p.\nAnswer: 6148*p**3 - 6*p**2 - x - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -37*s**2 - s + 22. Let x(j) = 40*j**2 + j - 24. Let h(i) = -12*p(i) - 11*x(i). Let f(t) = -6*t + 5*t - 4*t + 4*t. Calculate h(f(n)).\nAnswer: 4*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 120 (b) -2 (c) -0.1 (d) -5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-5)*15\/6. Let s = -732.345 + 0.345. Let r = s + 741. Put 2, r, k, -2 in decreasing order.\nAnswer: r, k, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 31*a**2 - 41*a - 8. Let n(g) = -7*g**2 + 10*g + 2. Let f(u) = -9*n(u) - 2*x(u). Calculate f(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -4 (b) 4.997 (c) 0.1 (d) -2 (e) 5 (f) 1.7 (g) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 4*p - 2*q - 595 = -385, -3*q - 126 - 197 = 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) + -3*sqrt(136) + sqrt(34))\/(sqrt(896)\/sqrt(7)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (7 + -7)) + -2 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*(p*p*p*p**13\/p)\/p*p*p)*p)\/(p*p**(-29))*p\/(p**(3\/22)\/p)*p**(-13\/3)*p assuming p is positive.\nAnswer: p**(827\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/976 and 17\/6.\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 + 4*p**3 + p**5 + 0*p**3 + (-p**2 + p**2 - p**2)*(-6*p**3 + 7*p**3 - 2*p**3).\nAnswer: 2*p**5 + 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 10*h - 76. Let o = -52 - h. Let b = o - -10. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*3*sqrt(324)*-1)\/(sqrt(36)\/(1*sqrt(3)) + sqrt(48)\/(sqrt(4)*2)).\nAnswer: -2 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q + 12*q - 6*q. Let r(o) be the third derivative of o**4\/6 - o**3\/6 + 7*o**2 + o. Determine 7*f(n) + 2*r(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -8*r**3 - 9*r**2 - 20*r - 16. Give t(-3).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 185 - 108. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 3387*q**2 + 227713*q - 12216. Determine z(-66).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/6)*j)\/(j\/(((j*j**(-10))\/j)\/j)))**(-42))**(-20) assuming j is positive.\nAnswer: j**(-9100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9*n + 232. Let q be p(-23). Let d be 3\/(30\/(-14) - -2). Let h = d + q. Solve -a - 17 = -4*z, h*z = -a + 4*a + 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -19, -737, 2, -146?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a**3 + 13*a**2 - 4*a - 12. Let p be j(6). Suppose 27*n - 3*n = p. Calculate the greatest common divisor of 77 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 951441?\nAnswer: 3, 23, 13789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635897 is divided by 92.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 4206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 7. Let i = 198 + -194. Let w(d) = 4*d - 15. What is i*w(f) - 9*j(f)?\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.16583 to two dps.\nAnswer: 1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -930\/210821 or -1?\nAnswer: -930\/210821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92\/3 + -4507\/150. Find the common denominator of p and (2 - 81\/132)*-2.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1791*m - 6*m**2 - 4*m**2 - 2*m**2 + 2*m**2 - 3*m**2.\nAnswer: -13*m**2 - 1791*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**5 + w**4 - w**3 - w**2 - w + 1. Let p(d) = -d**5 - 3*d**4 + 2*d**2 + 2*d - 2. Let z(v) = -4*i(v) - 2*p(v). Factor z(l).\nAnswer: -2*l**3*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, -1, -1\/2, 0.1, 47.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2 - 3*t + 2*t**2 - 2 + 4. Let c be f(2). Let p(q) = q**2 + 8*q + 12. Is p(c) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v. Let i(f) = f**2 + 504*f + 11942. Determine i(k(z)).\nAnswer: z**2 + 504*z + 11942","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45352*s**2*v**3 - 39*s**2*v**2 + 40*s**2*v + 3*s*v**5 + 4 wrt v?\nAnswer: 272112*s**2 + 180*s*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 882 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -75*s**3 + 44*s**2 - 2*s - 5. Let z be r(-4). Which is the biggest value? (a) -2\/7 (b) -1 (c) -3 (d) z (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1304652, -1304567, -1304424, -1304223, -1303964, -1303647?\nAnswer: -1303272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -992*i + 86 wrt i.\nAnswer: -992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -5*q**7\/21 + 4*q**4\/3 - 18*q + 10. Let k(g) be the first derivative of v(g). What is the third derivative of k(c) wrt c?\nAnswer: -600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2938796 to the nearest integer?\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 9*j. Let i(u) = -u**2 + 2*u + 2. Let y be i(-2). Let n be b(y). Suppose -p - 5 = -z - 4, -2*p - 3*z + n = 0. Solve -13 = -4*h + p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*q - 2*y - 182, 4*q - 5*y - 178 = 0. Let k = 90 - q. Calculate the highest common factor of k and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 21 - 27. Let q = -29 - -19. Let o(r) = 7*r**3 + 5*r**2 - 5*r. Let j(b) = -b**3 - b**2 + b. Give q*j(w) + s*o(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(228\/32 + 2). Let n = -37\/2 + m. Let z = 12.6 - 13. Which is the nearest to n? (a) 4 (b) 0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 0.3, -1\/4, 1.3, -4, -2\/3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.856771ns to milliseconds.\nAnswer: 0.000006856771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 1 - 7. Let b = h - -8. Let r = b + 49. List the prime factors of r.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(7\/((-3542)\/187)) + -8\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w - 30*w**3 + 6*w.\nAnswer: -30*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/6*3\/(-2). Is i less than -23\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 50*z + 55*z = -65, 0 = 5*s - 2*z - 50. Let p(v) be the first derivative of v**4\/4 - 8*v**3\/3 + v**2 - 9*v - 2. Determine p(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.628 times 4?\nAnswer: 18.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 5:20 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/5)*o)**(14\/5)*o**(-5)\/o*o\/o**(-13) assuming o is positive.\nAnswer: o**(312\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5755*f**2 + 10*f**3 + 7 - 2856*f**2 + 4*f**3 - 2878*f**2)*(f + f - 6*f).\nAnswer: -56*f**4 - 84*f**3 - 28*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h - 19. Let j(f) = 2*f**3 + 65*f**2 + 205*f + 61. Let g be j(-29). What is d(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -4.1. Let v = -2.9 + 4. Let a = -1 + v. Sort s, a, -1\/2 in descending order.\nAnswer: a, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29169 times 4\nAnswer: -116676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 5*v = -9. Suppose -v*s = 5*a - 1, 2 = -2*s + 4*a - 12. Put 4, 13, s in descending order.\nAnswer: 13, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 20*b + 4. Let c(o) = -43*o**2 - 41*o + 57. Let q(z) = -27*z**2 - 28*z + 36. Let p(y) = -5*c(y) + 8*q(y). Determine -4*p(t) + 3*s(t).\nAnswer: t**2 + 16*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2 + 0*v**2 + 3*v**2 - 5*v - 2*v**2 + 0. Let h be u(5). Solve 0*i - 5*i + 10 = h*c, 0 = -4*c - 4*i + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 4*x + 146. Let m be j(-14). Let u(z) be the third derivative of 0*z**5 + 0 - m*z**2 + 0*z**3 - 1\/200*z**6 + 0*z + 1\/40*z**4. Factor u(l).\nAnswer: -3*l*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 564 and 8709053.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -320, -1213, -2980, -5915, -10312, -16465?\nAnswer: -24668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -4 (b) -3 (c) 15\/23 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l - 8 = -b, 2*l + b - 2 = 0. Suppose -17 = l*f + 1. Let m(j) = -j - 1. What is the units digit of m(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 21*v**2 + 10*v - 2. Let o be z(2). Let k = o + -100. Solve -2*u - k*g = 8, -3*u - 7 = 3*g - 5*g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3*(0 + sqrt(405) + sqrt(405) + 3)*-6)**2 + (1*sqrt(405)*5 + -5)**2 + 5).\nAnswer: 69084*sqrt(5) + 1075902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 18*a - 77 - 6*a + 26. Let j be g(7). What is the highest common divisor of 33 and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20520858 divided by -3.\nAnswer: -6840286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -68706 divided by 3123\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.248402 + -0.328402. Suppose -3*k + 15 = -c + k, 0 = -2*c + 4*k - 14. What is the closest to c in -2\/3, x, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -3.5 (c) 68 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1\/153 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 537549 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-316 + 310)*(0 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 78 = 2*t, -3*t = -4*s - 6*t + 177. Suppose i = 7 - 28. Let q = 35 + i. What is the greatest common divisor of q and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 19 = -2*b. Determine c so that b*c - 21*c - 28*c**3 - 24 - 41*c + 104*c**2 = 0.\nAnswer: -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 - p**3 - 4*p**2 + 4*p.\nAnswer: p*(p - 2)*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136, -272, -408, -544, -680?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h - 17. Let l be c(-7). Suppose z = i - 19, -i - 2*z = -l*z - 17. Calculate the remainder when 61 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84091242.9999945 - 84091264. Let g = -21 - z. Round g to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2901 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9540952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -8.04282.\nAnswer: 10.04282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*a + 7 = 3*a, 2*a + 2 = 0. Let d be (-10)\/(-15)*6\/l. Solve -c - d = -2*u, -3*c + c = -10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (10 - (8 - (-7 + 12)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 263\nAnswer: -1052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39 - -876152?\nAnswer: 876113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 11*c + 12. Calculate k(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 62\/9 (b) -8 (c) 0.06 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (4 - -14) + -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 14*d**2 - 17*d + 11. Let s be k(-15). Let w = 74 - s. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m + 19. List the prime factors of g(3).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - o + 18. Let f be 2\/(-13) + (-8)\/(-52). List the prime factors of h(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -108249.451\nAnswer: 54124.7255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 140 + 494. Let u(f) = -85*f - 304. Let a be u(-5). Let j = k + a. Solve -4 = -j*y + y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/171355?\nAnswer: -2\/171355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**5 - 245*j**4 - 3255*j**3 - 4315*j**2 + 39560*j - 31740 = 0?\nAnswer: -23, -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - c**2)*(4 - 2 + 0) + 2*c**2 - 12*c**2 + 3*c + 5*c**2 + 90*c**2 + 176*c**2 + 23*c**2 - 4*c**2 in the form i*c + a*c**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + z + 3. Let s be b(0). Suppose s*c - 163 = 2*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 38\/57 - (-370)\/(-6). Let o = 131 + j. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 4*l**3\/3 - 3. Let n(i) = -2*i**2. Calculate n(z(r)).\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2119 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43567 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(29\/3))\/d*d**(10\/3))\/(d*d**(1\/30))**(6\/5))**(-2\/23) assuming d is positive.\nAnswer: d**(1136\/1725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 + -45. Suppose -6 = -i*a + 40*a. Suppose -58 = -a*d - 4. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 9. Let o = m + 6. Which is smaller: -14 or o?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 737*a - 741*a - 24 = 5*l, 2*l - a = -7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/152 and ((-480)\/(-6992))\/((-30)\/20)?\nAnswer: 3496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hggggkkhddhgkhkkgdtd. Give prob of picking 1 g and 2 h.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5*26\/1365*6\/1\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2444)\/(-116) - 315\/15.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 37*d**7\/7 - d**6\/3 - 3*d**4 - 14*d**3\/3 - 3*d**2 + 7*d - 5142. Find the third derivative of t(h) wrt h.\nAnswer: 4440*h**3 - 120*h**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 211. Is c(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.32777 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3430, 9660, 20044, 34582, 53274, 76120, 103120?\n\"Answer: 2077*a**2 - a + 1354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -116 + 156 = 2*y - 4*l, 0 = -17*y - 5*l + 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*a - 94*a = -5*m - 1062 + 1052, 0 = 11*a + 5*m + 28 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*r**2 - 81*r**2 - 79*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**2\/15 + 3712*d\/15 - 1722368\/15 = 0.\nAnswer: 928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/3 - 22\/(-24). Which is bigger: q or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4 - 10*d**2 + 4 as z*d**2 + y*d + p and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1594164695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*a**4*i + 626*a**4 + 7588*i wrt a.\nAnswer: -76*a**3*i + 2504*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 418966\/(-4336) - ((-76)\/(-32) + (1 - 3)). Suppose -h = -3*n + 548, -6*n + 5*h = -n - 920. Let l = n + u. List the prime factors of l.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 549*d - 3319. Calculate the remainder when 76 is divided by c(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-40)*(-120)\/(-9)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21222112220111 (base 3) to base 5.\nAnswer: -2041231322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6263229529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**3\/6 + o**2 + 3*o. Let x be b(2). Solve -k + 4*k = x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/39)\/(1\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**3\/4 - 195*j**2\/4 + 3261*j\/4 - 3069\/4 = 0.\nAnswer: 1, 31, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 199533 and 1135.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 361381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -34969 less than 3?\nAnswer: 34972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134232444 + 3?\nAnswer: 134233002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(128))**2 + -3 - (3 + sqrt(128) + -2) - (((sqrt(162) + 0)*3)**2 + -5).\nAnswer: -1328 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 2070, 1, 0 in decreasing order.\nAnswer: 2070, 18, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-3) - (-2 - 1). Let r = -3.01 - -0.01. Let m = -6 - r. What is the second biggest value in -2\/21, m, k?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c + 120 = 0. Let v = 32 - c. Find the second derivative of -3*q**4 + 13*q + 2*q**4 + 2*q - v*q wrt q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from uvtbnuc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-18))**(-28)\/((b\/(b**(-1\/23)\/b))\/(b\/b**(1\/18))))**(-1) assuming b is positive.\nAnswer: b**(-208201\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 7*q**2 + 7*q + 5. Let h be k(-6). Let n be 12*4\/6 - 1. Let t = 5 - n. Which is greater: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*c = 12. Suppose 3*i = -c*z + 177, -4*i + 2*z - 3*z + 236 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -367644369*j*y**2 - 7*y**2 - 22492703*y wrt j.\nAnswer: -367644369*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -1) + 5 + 133. Suppose z = 2*a - 2*k + 4*k, 3*a - 4*k = 232. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1666*z**2 + 4*z - 53 wrt z.\nAnswer: -3332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 454021568 rounded to the nearest 1000000?\nAnswer: 454000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-6 + (4 - (7 - 6)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -428688625, -428688623, -428688621, -428688619, -428688617, -428688615?\n\"Answer: 2*l - 428688627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000050963 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/35))\/k**(5\/2))\/(k**(-2\/13))**6 assuming k is positive.\nAnswer: k**(-473\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-96)\/30*5*129\/(-2) a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 9*y**2 - 5*y - 8. Let b be d(8). Let f = b - 7. Suppose -62 = f*a - 11*a. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1625373845 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5102128076 to the power of 1\/4, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -62, -109, -156, -203, -250?\n\"Answer: -47*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/376 and -31\/36566.\nAnswer: 146264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 31750 to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -2*a**2 - a - 1. Let o(p) = -p**2 - 10*p + 14. Let q be o(-11). Let g(k) = 2 + 1 - q - 2*k. Calculate -5*g(c) + 2*m(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -6*h + 39, -5*h + 5*z - 27 = -62 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 11*t**9\/504 - 11*t**5\/60 - 14*t**2. Find the third derivative of h(z) wrt z.\nAnswer: 1320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -333270\/107 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qppqqqqwwqwpq. Give prob of sequence qpp.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.788 + -0.288. What is the smallest value in -2, -0.011, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (10 + -35) - 13\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7854*r**2 - 3. Let x(u) = -u. Determine s(x(p)).\nAnswer: 7854*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbt when three letters picked without replacement from mfffffttttbt?\nAnswer: 5\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3778, 8019, 12286, 16579, 20898, 25243, 29614?\nAnswer: 34011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6177 divided by -1\nAnswer: -6177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.62 - -0.7. Let p be 28\/(-108) + 4\/18. Let u = -8\/27 + p. Which is smaller: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/6 - (-4)\/4. What is the second smallest value in -14, u, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 + -39. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(132)\/sqrt(3) - sqrt(44)) + -2 + -2 + (-6*(2 + sqrt(275) + 1 + sqrt(275))*-4)**2.\nAnswer: 34560*sqrt(11) + 638777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 475, 555, 689, 877, 1119, 1415, 1765?\nAnswer: 2169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 164\/14 - 10\/(-35). Suppose 5*p - 2*p = w. Suppose -m + 360 = p*m. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6122378\/(-34003) - -180 - ((-10775)\/148 - (-1)\/(-4)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, 22, 152\/7 in descending order.\nAnswer: 113, 22, 152\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1688*v - 1126*v + 5499*v - 96976 = 0 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 15*y**3 + 6*y**2. Let t(k) = 1641*k**2 + 3 - 3 - 1646*k**2 - 14*k**3. What is -5*q(p) - 6*t(p)?\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.52 + -0.6. Let m = l + -6.92. Let j = -7.3 - m. Sort -2\/7, 0.4, j.\nAnswer: j, -2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 4436001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1486 or 1607?\nAnswer: 1486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 331376 and 355216?\nAnswer: 49375024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2\/v**(-1\/4))**(-23) assuming v is positive.\nAnswer: v**(-207\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 9*m = 6*m - 11*m + 16, -2*m = 2*r - 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 829*v + 719*v + 603*v = 35919 + 15705 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.55*485\nAnswer: -266.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 349, 713, 1077, 1441, 1805?\n\"Answer: 364*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -4 (c) 21 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 times -24770?\nAnswer: -5399860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 7443 = -2*s, -7*s = -10*s + 4*p + 11207. What are the prime factors of s?\nAnswer: 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/443 and 37\/132457.\nAnswer: 132457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 + 42*s**2 + 87*s - 1805. Give q(21).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/20041 and 57\/1274?\nAnswer: 521066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2849 or 15?\nAnswer: -2849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 886904 (base 12) to base 14.\nAnswer: 406244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -1, -101, 3 in ascending order.\nAnswer: -101, -4, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 36 = -9*z. Suppose -15*r + 2724 = -z*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -879 + 874. Suppose 2*w = -3*w + 10. What is the smallest value in s, 1\/5, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1051?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmjj when four letters picked without replacement from mjmjj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + (-3*(sqrt(3) + sqrt(1152)\/sqrt(6)) - sqrt(15)\/(sqrt(5) - (sqrt(405) - sqrt(405)*-1)))).\nAnswer: -1374*sqrt(3)\/17 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - w + w)*(-3 - 3 + 2)*(1875*w - 83*w**2 - 1756*w - 39911 + 39911).\nAnswer: -332*w**4 + 476*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 380*c**5 - 191*c**5 + 4*c**3 - 193*c**5 + (1 - 1 + 3*c**3)*(-2*c**2 + 1 - 1).\nAnswer: -10*c**5 + 4*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (sqrt(720)*-1 - sqrt(720))**2 + -1) + -1 + 4*(sqrt(720) + 1) + -4 + -5.\nAnswer: 48*sqrt(5) + 14379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 82217 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 12*f**2. Let h(q) = -1845*q**2 - 2*q + 2. Calculate h(y(u)).\nAnswer: -265680*u**4 - 24*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**4*t)**36*(t**(1\/20)\/t)\/(t**17*t) assuming t is positive.\nAnswer: t**(3941\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + -59. Suppose -2*p - 2*p - 3*r + 87 = g, -p + 2*r + 8 = 0. Suppose p*a - 9*a = 0. Solve -4*b - 7 + 3 = a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 244\/(-12) + 6\/(-9). Let b = 16 + h. Let x(k) = -k**2 - 9*k + 2. Is 8 a factor of x(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 93, 0.2 in increasing order.\nAnswer: -1\/2, 0.2, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -1517?\nAnswer: -1521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22075088 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: Expand (-3*n - 2*n + 6*n)*(3 + 3*n - 5*n + 0*n).\nAnswer: -2*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-296*o**2 - 292*o**2 + 566*o**2)*(8*o + o + 0*o + (3 + 2 - 4)*(-4*o + 6*o + 0*o) + 2*o - 4*o + 3*o).\nAnswer: -264*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.7 - 7.69628. What is k rounded to four dps?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(38)\/sqrt(2) + 0)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/(-56) - (-11736)\/10269.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.692 - -0.592. Put 6\/13, 3, -2\/19, n in ascending order.\nAnswer: -2\/19, n, 6\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65*k**5 + 545*k**4 - 306*k**2 - 1729*k wrt k?\nAnswer: 3900*k**2 + 13080*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8.6? (a) -4 (b) 2 (c) 2\/13 (d) 243\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29 and 2.3?\nAnswer: 66.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*k - 179547077 + 179547077.\nAnswer: -236*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*s - 4*f, -3*s - 3*f + 3168 = 3162 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q - 2. Let z be h(-2). Let v(c) = 3*c**2 - c + 1. Let u be v(z). Suppose 0 = -l + u + 1. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 34*f**3 - f + 1. Calculate k(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**3 + 288*m**2 - 23524*m + 23232 = 0.\nAnswer: -121, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 993201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + q - 6*q = -4, 16 = 4*n - q. Let z(p) = 11 + p**2 - n - 3*p - 7*p. Calculate z(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 + -271.1958.\nAnswer: -271.2658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (86 - (77 + 65))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -70325326534?\nAnswer: -70325326534.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 41 - 4*h + h)*(-3*h + 4 - 4) + 43*h - 43*h + 31*h**2 in the form j*h**2 + d*h + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.94*-1.95.\nAnswer: -3.783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 336*c**2 - 2832*c - 5760.\nAnswer: 3*(c - 120)*(c + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -21522\nAnswer: 43044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 0, -2\/387, 3\/5, -1\/28, -2\/15?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(153) + sqrt(153))*3 - (sqrt(153)*-1*3 + sqrt(153)))\/(2*(sqrt(729)*-2 + sqrt(729))*-2).\nAnswer: -sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1430 = -5*r, -3*g = -3*r - 854 + 2. Calculate the remainder when g is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 81860195\/(-2514900) - 3\/12. Let r = n + 2\/25149. Are -34 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1558440 and 7488?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**5\/60 - p**4\/6 + 7*p**3\/6 - 2*p**2. Let l be q(-6). Let d(w) = -w**2 - 5*w - 1. What is d(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36.6 - 37. Let m = 0.091 - -0.009. What is the closest to m in -2\/9, -6, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**3 - 6*p**2 + 22*p - 7. Let t be w(5). Suppose 0 = t*m - 324*m - 4. Suppose 10 + 0 = 5*o. What is the highest common divisor of o and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 718\/7*c**2 - 107\/7*c**3 - 432\/7*c + 3\/7*c**4.\nAnswer: c*(c - 27)*(c - 8)*(3*c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/(-57)*((-13747)\/(-233))\/((-1)\/((-2)\/2)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 1:06 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13017 - -13019. What is the fifth smallest value in -1\/4, -0.4, 2\/13, r, 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.5 - 3. Let m = 14.5 - 19.5. Which is the second biggest value? (a) x (b) -3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10203103013 (base 4) in base 6?\nAnswer: -41323515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(7\/3)\/o)\/o*o**(-22)*o**(-2\/5)\/(o\/(o*o*o*o**(3\/4))) assuming o is positive.\nAnswer: o**(-1159\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y. Let z(b) be the first derivative of 0*b**2 - 3*b - 1 - 1\/3*b**3. Let f(c) be the first derivative of z(c). Determine f(w(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*m - 11, 0*m - 3*m - 2*n = 3. Let r be (m\/(-2)*3)\/(1\/(-2)). Suppose r*a = 1647 - 501. Round a to the nearest 10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 377 - 53. Suppose -q - 99 = -l. List the prime factors of l.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.226 rounded to one dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 7*j - 7. Let l(i) = i + 1. Let u(y) = -c(y) + 2*l(y). Let z be u(-6). Suppose -z*f + 8*f - 15 = 0. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -48*h**3 + 3*h**2 + 3*h - 46. Let c(n) = -97*n**3 + 5*n**2 + 5*n - 91. Let f(j) = 3*c(j) - 5*k(j). Differentiate f(s) wrt s.\nAnswer: -153*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 144*m + 1093. What is o(-10)?\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*g = -14, -3*f = -4*g - 18 + 1. Let p(d) = 2*d + 4. Let l be p(-7). Let t be (0 - -5)*(-4)\/l. Sort f, t, 4.\nAnswer: f, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4823*l + 1614*l + 1593*l + 1596*l.\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 239*c - 10. What is the hundreds digit of w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/526 and 53\/10.\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18137.2 + -6?\nAnswer: 18131.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -42. Suppose 769 = -m*r + 3009. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14097004 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -2\/21 (b) 20\/7 (c) -3 (d) 14 (e) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -368 divided by 368?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 78 - 182 = 0. Find the third derivative of 28*f**5 - h*f**5 + 3*f**2 + 0*f + 5*f - 11*f**6 wrt f.\nAnswer: -1320*f**3 + 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 8*q - 4. Let y be x(5). Suppose -g - 8 = -4*w + 3*g, -w = 2*g - y. Solve 0 = w*r - 4 + 29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 837*y + 7*y = -19412 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -6. Let g(b) = -b**2 - 6*b + 16. Let a be g(i). Solve 6 = 2*r + 2*t - 6, 3*r + 4*t - a = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 5*c**2 + 4*c + 3. Let j be v(6). Let g be (-1 - -1)*(-3)\/j. Suppose -2*l + 7*l = g. Solve 3*y - 15 = l, 2*k - 6 = -5*y + 21 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19.8 - -20. Which is the closest to 4? (a) -5 (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*x + 9. Suppose -49 = -x*u + 11. Suppose 2*o - 5*o + u = 0. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*u + 5*l + 60, -5*u - l = -66. Solve -v - 5*b = -2*v, -2*v - 3*b - u = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2384 and 45743?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 + d**3 + 0*d**3 + 2*d**4 + (-3*d + 3*d**2 + 3*d)*(0 + 0 - d**2).\nAnswer: -d**4 + 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 472347552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(1 - 1 - 1)*(55*n - 107*n + 53*n - 819*n**4).\nAnswer: 819*n**4 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -20388 to the nearest 100.\nAnswer: -20400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -222.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -73725125.\nAnswer: -2\/73725125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((150\/4)\/5)\/((-3)\/((-150)\/(-25)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 + 1954.8?\nAnswer: 1876.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwww when four letters picked without replacement from wwwqqqqwwwqwqqwqwwq.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 + 0*y**3 - 78081*y + 234343*y - 78080*y - 78182*y + 5*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3620 and 1267.\nAnswer: 25340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/((-4125)\/33)*90\/8.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 34 = 7*w - 5*t, 0 = -5*w - t + 58. Solve 5*o + 21 = -4*k, 3*o = -w - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 5 + 5)*(-2*x**2 - 2 + 2)*(4 - 1 - 5).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82.4 + -82. Which is the third biggest value? (a) 4\/5 (b) 1\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 548530036.08179 - 548525814. Let a = w - 4222. Let b = -0.081 + a. Round b to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**2 + 242*y - 395. Let q be u(-50). Solve 4*v + 21 - q = 4*o, 4 = o + 5*v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -9 - (-11 + -48 + 23 + 23).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -36342284*b**2. Let n(x) = 2*x. Calculate l(n(o)).\nAnswer: -145369136*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154669234 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*s = 465, 366 = 3*q + 4*s - 78. Find the second derivative of 1102*t + 11 - 1099*t - 1 + q*t**3 wrt t.\nAnswer: 912*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29727*q - 7863*q - 3*q**3 - 3*q**2 + 15540*q.\nAnswer: -3*q**3 - 3*q**2 + 37404*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1, 2, 0.5, -15\/29?\nAnswer: -15\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 u, and 1 f when three letters picked without replacement from ummmnbiffnmn.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22301332 (base 4) to base 9\nAnswer: 66514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.47 - 0.49715. What is f rounded to 3 decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i + 0*i - 3 + 6. Let s(q) be the first derivative of -3*q**2\/2 - 2*q - 16. Calculate 5*j(r) + 7*s(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 4900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2 - 19*o - 7. Is 25 a factor of z(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -7. Sort k, -3, 5 in decreasing order.\nAnswer: 5, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 146*y - 82*y - 237*y + 2 - 327*y. Let t be a(1). Let w be 3\/(-4) - t\/24. Solve -2*b + 7*b = -w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3 + 0*q**2 - q**3 - 7 - 4*q**2 + 2*q**3 - 2*q. Let v be n(4). Let b(o) = -o - 8. Let d be b(v). What is the greatest common divisor of d and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 23. Suppose -o + 101 = 2*p + 2*p, p - 20 = -2*o. What is the remainder when n is divided by (-2)\/p*-41 + 12\/(-78)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**2 + 2*v**2 - 3*v**2 - 10*v**2.\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436.88 <= 17.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.081 not equal to 2553.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 160 - 134. Let j be (14\/(-6) - -2) + s\/(-39). Which is smaller: j or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/28)\/(-3)*298\/(-596).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 8 = -0, -5*w + 9 = -4*s. Solve 0 = -5*d + w*x - 15, 5*d - 8*d = 3*x + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l + 47 + 116 + 3471*l**3 - 3474*l**3 + 11*l.\nAnswer: -3*l**3 + 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77113*q**4 + 40287*q + 3 wrt q.\nAnswer: 925356*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4115*h**4 - 4070*h**4 + 9185*h**4 - 2*h**4 - h**4 + 0*h**4 + (-h + 1 - 1)*(3*h - 3*h + 2*h**3).\nAnswer: 995*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*a**2*q**2 + 3*a**2 - a*q**3 - 4*q + 58 wrt q.\nAnswer: -54*a**2*q - 3*a*q**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3336 (base 11) to base 14\nAnswer: 185d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 132851.\nAnswer: 5\/132851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*r - 5*v, -3*r + 30 - 6 = 2*v. Is ((-217)\/3)\/(r\/(-18)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1147152 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*l + 3910 + 3560 = 0 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1111*n + 63018. Determine x(-57).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 20*u**2 + u. Calculate f(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 5. Let f(y) = -3*y + 42. Let j be f(13). Suppose -b = -k + j. Solve 0 = 3*w - 1 + k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 68, 71, 74?\n\"Answer: 3*o + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*k - 4, 2*k - k = g - 3. Suppose 3*l = -5*d + 24, -3*d + 22 = 5*l - g. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*m + 53*m - 3009 = -183*m + 2931 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2 + 0 + 6*q - 2*q - 2*q. Let s be z(5). Suppose -2*w + 2*k = -2, 3*w = 4*k + 1 + 1. Solve 0 = -w*t - 6*c + 2*c - s, 5*t + 18 = 2*c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 3, 8, 13, 18?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hghhghhghgghhh. What is prob of sequence hgg?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - -4)\/((-2)\/(-14)). Let w(j) = j**3 + 4*j**2 + 7. Let s be w(-4). Suppose -5*x = -x + s*x. Which is the closest to 0? (a) 1 (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1275 = t + 14*t. Let d = -76 + t. Solve 4*j = 11 + d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -170\/7*f**4 + 0*f**2 + 0*f + 0 + 2\/7*f**5 + 332\/7*f**3.\nAnswer: 2*f**3*(f - 83)*(f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 12367030?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*s + 412, 2*s = 5*m + 280 + 726. Let r = m + 597. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 26*k - 168 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkpbkqkqqbbkk. Give prob of picking 2 q and 1 p.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 3*z - 21. Let t = z + 22. Let o(r) = -r**3 - 6*r**2 - 3*r - 2. Calculate the remainder when o(-6) is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17674 + -1868. Let x = k + 43199. Let p = 10657 - x. What is p rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13, -42, -73, -106, -141, -178, -217?\n\"Answer: -h**2 - 26*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - r = 48, 2*o - 2*r - 9 - 23 = 0. Let p = -12 + o. Suppose -50 = -p*s + 22. What is the least common multiple of 50 and s?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24528 is divided by 383?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*q = 52*q + 18, 15 = 3*f + 3*q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b + 16. Suppose -9*f - 520 = f. Let o be (f\/20)\/((-4)\/20). Let r be q(o). Calculate the greatest common divisor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 3096 in descending order.\nAnswer: 3096, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1, -1579, -5581, -13217, -25699?\n\"Answer: -202*s**3 + s**2 - 169*s + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = 9*q - 6. Let s(u) = -11*u**3 + u**2 - u + 2. Is s(q) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, z: 5, c: 5, j: 6, i: 3}. What is prob of sequence jcnj?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77387*o**3*t**2 - 10*o**3*t - 2628*o**3 + 23*o*t**4 + 19*o*t wrt t?\nAnswer: -154774*o**3 + 276*o*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/7))\/(m*m**(-11))*((m**(-1\/12)*m)\/m)\/(m*m**(2\/17)) assuming m is positive.\nAnswer: m**(13585\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9*c**2 - 61*c - 3. Determine p(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/13 + 14018*a**2 - 8560580*a\/13.\nAnswer: -2*a*(a - 91070)*(a - 47)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18255 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-7)\/d)**(-2\/65))**37 assuming d is positive.\nAnswer: d**(592\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -336*y + 6. Suppose -18 = -k + 19. Let d = k + -31. Let s be p(d). Round s to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 25*m**2 + 2*m + 626. Let z be l(26). Solve 3*f - 4*u = 0, -4*f - z*u = 4 - 26 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123*w**4 + 3445*w**2 - 7298*w**2 + 3578*w**2 wrt w?\nAnswer: 2952*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1280*c**4 + 4*c**2 + 133*c - 1. Let m(t) = -t**4 + t**2 - 3*t - 1. Let q(l) = 4*m(l) - v(l). What is the second derivative of q(a) wrt a?\nAnswer: -15408*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2126964, -2126963, -2126962, -2126961?\nAnswer: -2126960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + (-2 + -5 + (sqrt(1331) + sqrt(1331) + sqrt(1331)*2)*5)*4))**2.\nAnswer: -475200*sqrt(11) + 76673700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 3*f - 2*f + 16.\nAnswer: -5*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*d**3 - 2043427 + 2043427.\nAnswer: -50*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4414112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -463.848 - -1.348. Round c to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 5, -3, -62?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129 - 319 + 69*j - 275 - 126*j + 58*j.\nAnswer: j - 723","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 34\/139, 5\/4, -3, 4, 629?\nAnswer: 34\/139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*r + 8, r + 5 = 3*y - 9. Let q(p) = p**2 - 2*p + 1. Let m be q(y). Suppose m*h = 5*c - 29, 5*h - 4*h = -4*c + 40. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538490 is divided by 6074.\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {q: 2, o: 3, t: 1, w: 1, j: 4, b: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2429 times 5?\nAnswer: 6.2145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*l + 28, -l = -0*l + 3*a - 8. Put 5, 0, l, 179 in descending order.\nAnswer: 179, 5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -43, 8, -0.03, 0, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(12) - -5*sqrt(432))*5.\nAnswer: 5*sqrt(13)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a + 18 = 0. Let f = -5 - a. Solve -5 - 3 = 3*l - n, 8 = 2*l - f*n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**3 - 3*a**3 - 7*a + 3*a - a - 7.\nAnswer: 4*a**3 - 5*a - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-4))\/((-847)\/(-308))\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**6\/450 + h**5\/150 + h**4\/15 - 8*h**3\/3 - 1. Let k(x) be the third derivative of i(x). Factor k(z).\nAnswer: -4*(z - 2)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 144 - 94. Let j = i + -34. Calculate the smallest common multiple of j and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 5*k**2 - 4*k + 1. Calculate h(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9499998*d**2 + 3*d - 1. Let m be g(1). Round m to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306765 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.4631097 + -31.76311. Let b = y + -0.7. What is b rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t**2 - t**3 - 15*t**2 - 5*t**2 - 3*t**2 to q*t**2 + o + k*t**3 + x*t and give q.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -158, -153, -148?\n\"Answer: 5*l - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + t - 2*t)*(2*t + 2*t - 3*t)*(-5 + 3 - 3).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmmu when four letters picked without replacement from jddmwuwm.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*w + 696 = -3*u, -u - 348 = -2*w. Let x = u - -353. What is the greatest common divisor of x and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/5 + 5 + 2 + 1. What is the biggest value in c, 2\/5, 0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20\/179, -0.2, 2\/5, -7\/4, -8 in ascending order.\nAnswer: -8, -7\/4, -0.2, 20\/179, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/791 + 62483\/4746. Suppose -a - 512 = -2*t, 2*a + 1216 = -5*t + 174. Find the common denominator of a\/154 - 6\/21 and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 9. Suppose 0*z - r - 68 = -q*z, 4*z - 5*r - 46 = 0. Calculate the remainder when 41 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -455 + 450. Which is the closest to -3\/4? (a) 0 (b) -1 (c) x (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - 5*j - 7. Let a(d) = -3*d**2 + 9*d + 13. Let v = -236 + 229. Determine v*i(z) - 4*a(z).\nAnswer: -2*z**2 - z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/8)*g**(7\/3))**(-4\/11)*((g*g*g**(-3)\/g)\/g**3)\/((g\/g**(2\/3))\/((g\/g**(1\/3)*g)\/g)) assuming g is positive.\nAnswer: g**(-373\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -19 - -7) + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -4*a**2 + 0 - 1\/12*a**4 + 0*a**5 + 1\/60*a**6 + 0*a**3 + 0*a. Let t(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven quarters of a meter?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54451 - -54447. Let d = 13 - 7. Sort d, 3, m, 0 in increasing order.\nAnswer: m, 0, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 2\/1855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -7*j**6\/6 + 2*j**3 + 10. Find the third derivative of l(d) wrt d.\nAnswer: -420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(350)*-1*1)\/(sqrt(60)\/(sqrt(24)\/sqrt(4))))\/((sqrt(84)*1 - sqrt(21))\/(sqrt(24)\/sqrt(72))))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 372 + -367.03. Let h = x + 0.03. Suppose -1 + 4 = v. What is the closest to -0.1 in v, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47541602 rounded to four decimal places?\nAnswer: 0.4754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110171 (base 12) to base 4.\nAnswer: 1001313211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/650 and -131\/1300.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29792 and 133.\nAnswer: 29792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -16*x + 17*x. Suppose -x*b + 2*h + 180 = 0, -4*b + 77 = -5*h - 84. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 43837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 3 - 7)*(2*r**3 - r**3 + 0*r**3).\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1426.269088 to the nearest integer.\nAnswer: -1426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.1547 rounded to 1 dp?\nAnswer: 46.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/8)\/(s\/s**(-2\/5)) assuming s is positive.\nAnswer: s**(-61\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 5*r - 1. Let q be l(-4). Let y = -4 - -4. Let g = y + -2. Which is the second biggest value? (a) 1\/7 (b) q (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -838, -806, -714, -532, -230, 222, 854?\nAnswer: 1696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + 29. Suppose 5*y - 25 = 0, -n + 26 = -2*y + 6*y. Suppose -40 = -n*u + u. What is the greatest common factor of u and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + d - 2*d)*(-4 - 2*d + 4) + 0*d**2 - 3*d**2 + d**2 + (-2*d + 0*d + 0*d)*(3 - 5 + 1)*(3 + d - d + 2*d).\nAnswer: -2*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -832 = -18*n + 86. Suppose -5*a = -3*a - 3*q - 24, n = 5*a - 3*q. Solve 8*w - 3 = a*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -199540490 by 99770245.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2) + (4 - -13 - 14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-40)*-5)\/((-12)\/(-280)). Suppose 8*i - 3*i - q = 0. Which is bigger: i or 33\/4?\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + (12 - 4 - -17)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6584 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -y**4 - 1391*y**2 + 2510 wrt y.\nAnswer: -4*y**3 - 2782*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 64*z**4 - 3*z - 211.\nAnswer: 256*z**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 33322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**8\/84 - 47*j**6\/120 + 955*j**4\/24 + 529*j**2. Find the second derivative of g(l) wrt l.\nAnswer: -80*l**3 - 282*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-9) + 16\/(-9). Let n be 3 + b + 1 + 0. Find the third derivative of 4*g**n + g**6 - 3*g**2 - 2*g**6 wrt g.\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1516788 divided by -364.\nAnswer: -4167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 2*u + 48, -7*m - 2*u - 3 = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68730 and 19140.\nAnswer: 1512060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14629?\nAnswer: 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34550.\nAnswer: 2, 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-24))\/(((-231875)\/2332)\/175).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -1. Suppose 2*t + 2 = x*k - 2, -6 = -2*t. What is the units digit of (-2 + 3)\/(1\/k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560168?\nAnswer: 2, 7, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31130, 31082, 30986, 30824, 30578, 30230, 29762?\nAnswer: 29156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*w + 41*w + 14*w)*(13 - 31 + 18 - 25 - 116).\nAnswer: -9588*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 43506035 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21632)\/(-221))\/(-16) + 2\/51*3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (-18 - 0) + 72 + -50?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 56, 5, -70, -175, -316, -499, -730?\nAnswer: -1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = i - 2*s - 0*s, -4*i - 2*s = -732. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 - 1.8. Let h = -0.05 - 0.05. What is the closest to h in -0.5, l, 1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7317 and 36?\nAnswer: 29268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 100*-0.431214\nAnswer: -43.1214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39 * 21930.\nAnswer: -855270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -4*q - 15. Suppose 15 = -x + q*i, 3*x - 4 = 2*i + 3. Solve o = -0*o + x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -596.028+9\nAnswer: -587.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 41*s**2 - 13. Let d(z) = 20*z**2 - 6. Let w(t) = t**2 + 20*t + 93. Let m be w(-9). Determine m*p(a) + 13*d(a).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)\/s)**(1\/25)*s**7\/s**1 assuming s is positive.\nAnswer: s**(446\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 630 = a - 635, 4*a = x. Suppose 7*p - 145 = 2*p. Put p, -5, x, 0 in descending order.\nAnswer: p, x, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 362031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.35 - 5.35. Let p = -32 + 32. What is the fourth biggest value in -2\/3, r, -1\/3, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 29*t + 80. Let s be u(24). Let j be (-295)\/4*s\/180. Let x = j - 44\/9. What is the common denominator of 35\/23 and x?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 not equal to 67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 3*g. What is d(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**3 + 66*k**2 + 345*k + 450 = 0.\nAnswer: -15, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -3, -1.\nAnswer: -3, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 50 = 2*m + 46, m - 113 = 5*w. Which is smaller: w or -21?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from {a: 1, y: 5, w: 8, v: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6*c = -3*c - 63, -c = y - 29. Suppose r - y = -r. Calculate the remainder when 69 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/44*2\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 14*k. Let i(f) = -26*f**2 + 14*f**2 + 7*f**2. Calculate r(i(u)).\nAnswer: -70*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (28 - 25)*-2*12\/(-9). Let l(d) be the third derivative of d**5\/15 + d**4\/24 - d**2. Is 33 a factor of l(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9*(-31)\/279)\/(2\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqyqqqqyq. Give prob of sequence yqq.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**5\/60 + 7*f**4\/24 - 2*f**2. Let q be z(6). What is the third derivative of 2*t**2 + 2*t**q + 4*t**6 - 5*t**6 wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 465630 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.099 + 0.581. Let s = -0.19 + -0.18. Let r = p + s. What is r rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -257\/72 - 119\/36. Calculate the common denominator of -61\/8092 and q.\nAnswer: 16184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*858\nAnswer: -1201.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33692226 - -48.6.\nAnswer: -33692177.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - a = -0*z - 59, z + 3*a = 65. Calculate the least common multiple of 22 and z.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21529439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -4. Let y = 1 - p. Let c(u) = -u**3 - u**2 - u + 1. Let l be c(y). Is l greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*(1*sqrt(1539) + -5).\nAnswer: -9*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 9:39 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27758 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {f: 2, o: 17}.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 110119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 - 267809929*q**3 + 267809932*q**3 + 0*q**2.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2096 + 2096. Which is the smallest value? (a) 1\/5 (b) i (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + -4167861362573.\nAnswer: -4167861362607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128 + -125. Determine o, given that -o**y + 1\/2*o**4 - o**2 + 1\/2*o + 1\/2 + 1\/2*o**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 815, 1972, 3905, 6614?\nAnswer: 10099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55226 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 105.35977 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*k = 93*k - 293*k + 3744 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144267*b + 30351*b + 59868*b.\nAnswer: 234486*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**3 - 144741102*b**2 - 144741111*b + 289482210 = 0?\nAnswer: -2, 1, 48247035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) - ((sqrt(245)*-1 - sqrt(245))*1)**2 - (5 + (sqrt(245) - (sqrt(245) + 2 + sqrt(245))) - sqrt(245))**2.\nAnswer: -1969 + 91*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5762673 or 0?\nAnswer: -2\/5762673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*j - 6886 + 1090 = 5*j. Solve -61*x - j = 205 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*k**2 + 114 - 114 + k**4 + (2*k + 3*k - 4*k)*(0 + 0 + k**3).\nAnswer: 2*k**4 + 15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15305 + 13985 = -523*z + 9416 for z.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 244*x. Let d(s) = -2128397*s. What is d(k(p))?\nAnswer: -519328868*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -x**3 - x**2 + 11*x - 11. Let v(l) be the first derivative of u(l). Let f be v(-1). Solve -m + f = -2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7182585581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 70 (b) -0.2 (c) -0.12 (d) 0.4 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 294777830 to the nearest integer?\nAnswer: 17169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 20, 643 = 3*r + 3*h - 4*h. Calculate the greatest common divisor of 81 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) 125 (b) -0.03 (c) -2 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9359 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -26651*v - 293110. Calculate x(-11).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(68) + (1*sqrt(68) - sqrt(68))))\/((sqrt(8) + sqrt(8)*2)\/sqrt(2)) + ((sqrt(833) + 1 + -5 - sqrt(833))**2 - (2 + -1 + sqrt(833))**2).\nAnswer: -818 - 47*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 1. Give w(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-8))\/(6\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 22 = -z + 4, -z = -2*y + 24. What is the units digit of 79*(13\/(-26))\/((-1)\/y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 10*j**2 - 6*j + 31. Suppose 175 = -15*m + 40. Let u be y(m). Sort -0.1, 2\/7, u, 5.\nAnswer: -0.1, 2\/7, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7910 >= 7909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 + 2*a**4 - 5*a**4 + (1 - 3 + 3)*(3*a**4 + 0 + 0).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -10*x**4 - 15*x**2\/2 - x - 205. Let k(p) = -17*p**2 - 2. Calculate -2*a(o) + 15*k(o).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93593.768 - -93596.86800084. Let j = 51 - 47.9. Let t = g - j. What is t rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -57*b**3 - 4*b**2 + 6*b - 1. Let c(x) = -59*x**3 - 4*x**2 + 7*x - 1. Let i(g) = 2*c(g) - 3*r(g). Calculate the lowest common multiple of 16 and i(1).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 56\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - c + 1. Let j be i(4). Suppose 3*f - 5*w + j = 0, 0 = -5*f + 2*w + 3*w - 5. Let n = 6 - f. Solve 4*y = -n*k - 8, y = -4*y - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1\/9, -2, -10, -28.867?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54393 and 0.1.\nAnswer: 5439.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 + -5 - -6)*26\/3. Suppose z = -5*x + 612. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -2.47?\nAnswer: -4.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (222 - 60) + -1 + -51 + 11.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1069 - 4373\/4. Let q be (-28)\/70 + 127\/5. Let x = q + s. What is the third biggest value in x, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175464953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -6\/77, 6 in decreasing order.\nAnswer: 6, -6\/77, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22072664 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**4\/5 - 268*r**3\/5 + 1808*r**2\/5 - 3828*r\/5 + 2286\/5 = 0.\nAnswer: 1, 3, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -289*h**3\/3 + 7437534*h**2 - 1750004*h + 308824\/3 = 0. Calculate h.\nAnswer: 2\/17, 77206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22, -57, 0.06, 57, -0.1, -2, -5?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/8049269 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4265.663ml in litres?\nAnswer: 4.265663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 5*x**2 + 5*x - 6. Let c be -1*(-5)\/(0 - 1). Let d be t(c). Let a be (-1)\/3 - d\/3. Solve 0*m + 5*o = 3*m + a, 0 = -m + 4*o - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -693*f + 11985813 = -126*f. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63726389*m**4 + 35686414 with respect to m.\nAnswer: -254905556*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -448 + 369 + (10 - -90)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 34 - (4 - (-11 + 13 + -8))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) 2\/19 (c) 81329\/10 (d) -0.5 (e) 5 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 706707 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -75, -1181, 3\/5 in ascending order.\nAnswer: -1181, -75, 3\/5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.109? (a) 1\/6 (b) -1\/9 (c) -45\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29492160 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(2\/11)\/((((u\/(u**(-3\/8)\/u))\/u)\/u)\/u))\/(u\/(u\/(u**(2\/13)\/u)))**(-2\/33))**36)**(1\/3) assuming u is positive.\nAnswer: u**(2593\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, -5, 351352.\nAnswer: -5, 100, 351352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 + 1272*z**2 + 6315*z + 37. What is f(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578093680.\nAnswer: 2, 5, 103, 70157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 785 - 730 = 0. Let n = i + -147. What is the units digit of n\/27 - (-2)\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 0, -23, 2, 0.07 in descending order.\nAnswer: 3, 2, 1, 0.07, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 9*k**2 + 13*k - 3. What is p(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*u**3 + 56*u**3 + 46*u**3 - 25557*u + 25557*u.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15199953 * 0.1.\nAnswer: 1519995.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -178, -300, -472, -712?\nAnswer: -1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*j**4*l - 1106*j**4 + j**3*l + 2*j**3 + 11*j**2*l + 40705*j*l wrt j?\nAnswer: -624*j*l - 26544*j + 6*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.66 + 0.66. Is x <= -1.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 3 + -7 + -1 + (-53 - -54)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 21*v**3 - 2329*v**2 - 222*v + 43. Give b(111).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*g = -10230, 0 = 14*h - 12*h - 4*g - 4092. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -5\/3, 0, -0.4 in descending order.\nAnswer: 2\/3, 0, -0.4, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -14 + 14 - -159*1. Is -3*w\/18*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -188, -187, -186, -185, -184?\n\"Answer: o - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(66) - (sqrt(66) - 2*sqrt(66)*-4))\/sqrt(11))\/(sqrt(18)\/((1*sqrt(72))\/sqrt(8))).\nAnswer: -16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gboy when four letters picked without replacement from {c: 2, o: 1, d: 1, g: 1, b: 1, y: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/3)\/w)\/(w**12*w)*(w*w**4\/w)\/((w*(w\/(w*w*w*w**(-1\/5)))\/w)\/w))**(-9) assuming w is positive.\nAnswer: w**(354\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijtiibk. What is prob of sequence tikj?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60714?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60722535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2538)\/(-4))\/(-3)*(180\/216)\/(10\/8).\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + -1*sqrt(1216))*-5)**2.\nAnswer: 8000*sqrt(19) + 124100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + (-11)\/3)*-1362. Let f be (-10)\/4*j\/(-5). Suppose 0 = -t - t + 4*a + 234, 0 = -4*t + a + f. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svdvdvssvsvdlls. What is prob of sequence slv?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*z + z + 26 = 0, 2*z = -5*s - 29. Let h = 0 - 0. Put h, -1, s in ascending order.\nAnswer: s, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.182 + 0.118. Let w = 2.06 - 0.06. Which is the closest to 0? (a) w (b) 3\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 13*f**2 - 13*f + 15. Let r be x(12). Let b = 21552 + -21556. Put 5, -3, r, b in descending order.\nAnswer: 5, r, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5624)\/228*((-28)\/21 + 85\/30).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -116 (b) -3 (c) -0.4 (d) 0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 520 + -443. Find the third derivative of -31*o**2 - 101*o**2 - c*o + 66*o**6 + 8*o**6 + 77*o wrt o.\nAnswer: 8880*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6996697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**3 - 13*q**2 + 135*q + 17. Calculate the remainder when c(9) is divided by 163.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 3, -3\/8, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/38)\/(a*a**(-33)))**(-2\/21) assuming a is positive.\nAnswer: a**(-1217\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 205286 divided by 18?\nAnswer: 102643\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 300 - 302. Does 7 divide (-3)\/(-15) - (9804\/(-30) + x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v**3 - 19*v**2 + 11*v + 75. Is h(-13) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/7)\/d*d*d**(8\/9))\/(d**(1\/2)\/d**(-1\/10)) assuming d is positive.\nAnswer: d**(-89\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4\/4 + 11*m**3\/4 + 123*m**2 + 928*m + 1984 = 0. What is m?\nAnswer: -8, -4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) -2\/45 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2178506.\nAnswer: 2, 11, 99023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 46 = -2*i, -5*p = -2*i - 8 - 65. Let w = -14 - i. Let c = w - 14. Solve 0 = -l + c - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 576 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*p + 273 = -24*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192726*o - 192750*o - 1248 = 0 for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3093 is divided by 1495?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*(q*q*q**(7\/2)\/q)\/q)\/q)*q**(-2\/19))\/(q**(-20))**(-18\/7) assuming q is positive.\nAnswer: q**(-14373\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*f + 27 = -18*f. Suppose 0 = 4*x + 5*d - 509, 2*d - f = 3*d. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a (base 12) in base 6?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (399\/19)\/(1\/2). What is the highest common divisor of v and 413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -322 + 498. Let g = -175 + y. Sort -0.1, -0.38, g in descending order.\nAnswer: g, -0.1, -0.38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1954, -1956, -1958, -1960?\nAnswer: -1962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myyyyyyyymbby. Give prob of picking 2 y.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1909652 is divided by 177?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 3325?\nAnswer: -3324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -13*c - 25. Let r = -12 - -38. Let y = 18 - r. What are the prime factors of v(y)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**2 - 2. Let o be a(-1). Solve -4*q + 7*y = o*y - 11, -y = 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2. Let g(k) be the first derivative of -k**3\/3 + 42. Calculate v(g(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**4\/4 + 43*b**2 + 1663*b - 5402. Find the first derivative of z(n) wrt n.\nAnswer: 3*n**2 + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4547212 - 11?\nAnswer: -4547223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 25, 10, -31, -110, -239, -430, -695?\n\"Answer: -2*h**3 - h**2 + 2*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -8*q**4 + 5*q**3 - 14*q**2 + 12*q - 1218. Let b(p) = 8*p**4 - 4*p**3 + 14*p**2 - 9*p + 1220. Let w(y) = 4*b(y) + 3*l(y). Differentiate w(d) wrt d.\nAnswer: 32*d**3 - 3*d**2 + 28*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(960))\/sqrt(12) + 5 + -1*(1 + (sqrt(720) - 2*sqrt(720))**2 + 2).\nAnswer: -722 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 127588 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13664235 divided by 15\nAnswer: -910949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5808?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21783912 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13178 is divided by 657.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.39056 and -0.0047.\nAnswer: 0.001835632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39761?\nAnswer: 39761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -182*f - 117. Suppose 179*w - 192*w = 78. Does 39 divide k(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - q - 4*q)*(-3*q + 2*q + 2*q)*(4 - 4 + 1).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 667129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(84\/(-1820)*-13)\/((-132)\/(-10)).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*z - 501 = 1669 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 1. Let o be c(1). Let b be -2 + (-2 - 10\/(-4)). Let h = 0.39 + 0.01. What is the nearest to o in -4, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 7, 0, 2, 945 in descending order.\nAnswer: 945, 72, 7, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -2*g**5\/5 - 5*g**4 - 109*g + 986. Differentiate v(q) wrt q.\nAnswer: -8*q**3 - 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-27)\/(-4))\/9)\/((-4)\/(-64)*-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + (12 - 3) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17871?\nAnswer: 3, 7, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 7*j**2 - 8*j + 4. Let a be s(8). Let f be (-1)\/(-1)*-10*(a - -1). Let u = f + 90. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6*v - 6)*(2*v - 3*v + 0*v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10284409 by 1163.\nAnswer: 8843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3410*u + 291*u - 47113 - 130535 = 0 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 4:02 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2 = 2. Let m be (1 - k)\/(4 + -1). Let b = 3.1 - 3. What is the nearest to b in 0.4, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**5\/70 + 19*r**4\/2 + 2527*r**3 + 336091*r**2 - 1043*r. Factor x(l).\nAnswer: 2*(l + 133)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l\/l**(-4\/5))\/l)\/l**(-1\/4))\/((l*l*l**0\/l)\/l)**(-46))\/((l**(-6\/7)\/(l**0*l))\/(((l\/(l\/(l**1*l)))\/l)\/(l**(-4\/5)\/l*l))) assuming l is positive.\nAnswer: l**(799\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 9:06 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*s - 26 - 30. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3 = -5*m - 28, 17 = 3*m - 5*g. Let h = m - -1. List the prime factors of 3\/(1\/3 + h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 - 505*d**3 - 4890*d**2 + 5400*d.\nAnswer: -5*d*(d - 1)*(d + 12)*(d + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -5039*r**7\/210 + 7*r**5\/10 + r**4\/12 - 2*r**3\/3 - 84*r**2 - 14*r. Find the third derivative of u(p) wrt p.\nAnswer: -120936*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3*(47 - 68). Let m = -5 + 2. Let p = s + m. Solve 2*n + k = -n + 10, 2*n = p*k - 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -93?\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143 - -529. Is 96 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c + 15 = 0. Let q(r) = -2*r + 1. Let g be q(c). Let z(u) be the first derivative of u**2\/2 + 6*u - 1. What is z(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.4 (b) 12\/7 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(4\/(-6))*292\/657\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1550768*-5.\nAnswer: -0.775384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 8*v = 0. Let u = 121 + -120. Solve v*l + u = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666354196.\nAnswer: 2, 1621, 102769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5182288883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 + (19 - (-21 + 45))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -207526?\nAnswer: -207522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -2.1?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 4*m - 92, 5*m = 563*l - 565*l + 106 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) 0.4 (c) 102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**6\/1800 + a**5\/100 + 3*a**4\/40 + 2*a**3\/3 - 3*a**2. Let v(n) be the first derivative of s(n). Factor v(w).\nAnswer: (w + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 1, -1, 3, 2 in increasing order.\nAnswer: -1, 1, 2, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 21891675.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 120*g**3 + 2*g**2 + 383*g**3.\nAnswer: 503*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**3\/6 - 3*l**2\/2 - 2*l + 1. Let y(o) be the first derivative of g(o). Let f(m) = 2*m - 1. Let a be f(2). What is y(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20481.\nAnswer: 3, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -767 - -764. Let r(i) = 52*i**2 + 10*i + 10. Let f(v) = -17*v**2 - 3*v - 3. What is g*r(x) - 10*f(x)?\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w = 331920 + 181929. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -4, -1, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 573 + -556. Let g(j) be the second derivative of 0 - m*j + 0*j**4 + 3\/10*j**3 - 3\/100*j**5 - 3\/5*j**2. Find b, given that g(b) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 430?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1275*q**5 - 3*q**2 + 371?\nAnswer: 76500*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**13*((i*i\/(i**(-10)\/i)*i)\/i)\/i*i)**(-5\/4)\/((i**3\/i*i**(2\/5))\/(i**(1\/3)\/i)**(-39)) assuming i is positive.\nAnswer: i**(211\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avva when four letters picked without replacement from {a: 5, v: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53*d*n**3*t - 31*d*t - 192*n**2*t + n*t + 8*t wrt n?\nAnswer: 318*d*n*t - 384*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28.96 and 1.6.\nAnswer: 46.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*w + 29609, -x - 698 = -2*w + 11142. Is 51 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 41*o + 48. Is m(25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9426105 and 62212293?\nAnswer: 311061465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3957, -3560, -2907, -2004, -857?\n\"Answer: -a**3 + 134*a**2 + 2*a - 4092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**5\/12 - 275*b**4\/6 - 2240*b**3\/3 + 4*b**2 + 17*b - 1. Find y, given that q(y) = 0.\nAnswer: -4, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 3, -73, -321, -14.\nAnswer: -321, -73, -14, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -152.9 + -46.1. Let k = r - -199.01. Let g = 0.2 + 0.3. Which is the biggest value? (a) k (b) 2\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen quarters of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z + 38*z + 4 = 0. Let i be (z + 1 - 0) + 12\/(-2). Let v be 3\/((-9)\/i) - (6 + -2). Which is the nearest to -2? (a) 1 (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13316936 is divided by 546.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 445649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - b**2 + 5*b + 1. Let i(t) = -t**3 + t**2 - 7*t - 2. Suppose 9*x + 19852 = 19897. Determine x*i(l) + 7*n(l).\nAnswer: 2*l**3 - 2*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 - 21220211010?\nAnswer: -21220210313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5, 5, 15, 25, 35, 45?\n\"Answer: 10*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 5600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 0*m - 3*m - 5, 0 = 5*m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 21\/20*g**5 + 0*g**4 - 11*g - 1\/6*g**3 + 39\/2*g**2 - 3. What is the second derivative of y(k) wrt k?\nAnswer: 126*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b - 19*b + 65*b = 222 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4 + 295698*j**3 + 7286737956*j**2 + 14572293144*j = 0. What is j?\nAnswer: -49282, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 4*u. Let x be m(2). Suppose -5*z - 3*s + 189 = x, -4*z = -z - 5*s - 127. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 144 + -139. Suppose -5*u + 5*o + 225 = 0, 52*u + 125 = 55*u - b*o. Solve -u = -7*k - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -15762.\nAnswer: 1\/15762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 504 divide 15988029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 4. Let l be h(6). Suppose 9 = m + l. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 59 (b) 1452 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178102*g + 178413*g - 8708 = 0 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 20 - (-9 + 7). Let u be 208\/x - (-6)\/10. Suppose c + 16 = u. Sort -0.5, -3, c in descending order.\nAnswer: -0.5, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + w + 168. What is the units digit of y(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -241 - -15021432?\nAnswer: 15021151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/5 - 24034*u**3\/5 + 72176*u**2\/5 + 134624*u = 0. Calculate u.\nAnswer: -12020, -4, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**6\/15 - 5*j**5\/18 - 47*j**4\/18 + 8*j**3\/9 + 1963*j**2 - 1. Factor c(b).\nAnswer: 2*(b - 4)*(b + 2)*(12*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -1\/6*n**6 + 2\/105*n**7 - 1\/2*n**4 + 0*n**3 - 87*n**2 + 0 + 0*n + 7\/15*n**5. Determine o so that t(o) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 102*u**2 + 104*u + 2*u**3 + 1531021 - 1529771 + 1246*u = 0.\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30400 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11054749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1584) + -1 - sqrt(1584)) + (sqrt(88)*-1)\/sqrt(8)).\nAnswer: -6*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3012161671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-25188)\/(-8)) + (-12)\/(-8). Let b = t - 1351. Round b to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 5*h**2 + 26*h + 2. Calculate x(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2 = 5*x. Let d(c) = -c**x + 4*c**2 + 3*c**2 - 5*c**2 - 6*c + 6. What is d(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 130?\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 857169.\nAnswer: 3, 53, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -286500.2 smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 676*f - 514*f + 1 - 1 as p + l*f and give l.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of (-3 + 0 + -27)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -5)\/((-80)\/15).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -270*b + 159.\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -234, -245, -268, -309, -374?\n\"Answer: -l**3 - 4*l - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-5 + -3*sqrt(13) + sqrt(13) + 0)**2 - (2 + ((sqrt(1573) + 2 + sqrt(1573))**2 - sqrt(1573)))) + -1 + -4.\nAnswer: -24889 - 228*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7190 rounded to the nearest 100?\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + m + 45. Let y be w(7). Suppose 44 = y*j + 3*z + 8, 4*z - 12 = 0. Let o(l) = 4*l - 8. Let h(r) = r - 2. Determine j*h(v) - 2*o(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31\/6 - 8. Let z(w) = w**3 - 2*w + 10. Let j be z(0). Let s be ((-10)\/25)\/(1\/j). Which is bigger: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 132 = -5*n. Suppose -300 - 74 = -n*u. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 3. Let o be r(-7). Let t = 10 - o. Let p = 23 - t. Solve k + 3*i + p = 0, 3*k - 22 + 9 = i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 11:38 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2\/7 - 2644*r\/7 - 85074\/7 = 0. What is r?\nAnswer: -1289, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21337, -86691, -195617, -348115, -544185, -783827, -1067041?\nAnswer: -1393827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100 + -10120200?\nAnswer: -10111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 21 - 6 = 0. Suppose 16*r - 19*r = -t. Find the third derivative of -3*m**2 - 4*m**2 + 2*m**2 + m**2 - m**r wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01939 - 8802725.\nAnswer: -8802724.98061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 + 2*g - 57. Let s = -190 - -196. Let t be b(s). Round t to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140758604 divided by -1252\nAnswer: -112427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from {p: 6, c: 2, s: 2, x: 1, w: 3, v: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, -5, -11, -0.5, -12?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -14975\nAnswer: 13\/14975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 3:52 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hahh when four letters picked without replacement from nhsaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7040613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2 (b) -2 (c) -2\/9 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 120251*m - 101300?\nAnswer: 120251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 1:12 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2492.17 + 2481. Let q = j + 11.8. Let v = q - 0.6401. Round v to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/12 - 240\/(-198). Suppose j*i**4 + 0 - 2\/11*i**5 + 4\/11*i - 2\/11*i**3 - 6\/11*i**2 = 0. Calculate i.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 9*v + 5. Let z be i(7). Let s be 1 + -1 - -2 - -47. Let m = s - z. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 423 = 426 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2609\/5 + 28\/(-10) + 3. Suppose o + 606 = 6*t. Suppose 0 = 4*v - 20, -5*p + 62 = -5*v - t. Calculate the greatest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 9 + 14*n**2 + 18*n**2 - 28*n**2 - 11*n**3. Suppose 110 = 5*j - 500. Let x = j - 119. Let l(c) = 6*c**3 - 2*c**2 - 5. Determine x*z(w) + 5*l(w).\nAnswer: -3*w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 66383 - -861?\nAnswer: 67354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 - -2. Let k = 0 + -11. Let p be 5\/20 + k\/(-20). What is the biggest value in p, 0.1, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01993 * -14\nAnswer: -0.27902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.0266.\nAnswer: -0.0266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 23, -180, -515, -976, -1557, -2252?\nAnswer: -3055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*s, -2*r + 6*r - 10 = -2*s. Let t be (4 + 0)*2\/4. Suppose r*o - t*o = 0. Is o > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 233 = d, -3*d + 3*f - 201 = -4*d. Is 212 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 9 + 28*m + 44 - 16.\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04185 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**5\/300 + h**4\/24 - 7*h**3\/15 - 137*h**2. Factor o(j).\nAnswer: (j - 2)*(j + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 464268784 to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(18\/20)*-30*(-8)\/(-1000).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10450*f**2 - 15*f**3 - 5311*f**2 - 5139*f**2.\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r - 32. Let f be t(6). Suppose -s + b - 2 = -4*s, 5*b = -f*s + 21. Is s greater than -6\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7355053 (base 8) to base 12\nAnswer: -7a420b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 3*i. Let r(k) = 14*k**2 - 41*k**2 + 21*k**2 + 16*k. Suppose -2*j = -3*p + 20 + 22, 2*j + 74 = 5*p. What is p*s(u) - 3*r(u)?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f. Let d = 345 + -308. Let k(w) = 11*w**2 - d*w**2 + 7*w + 17*w**2 + 12*w**2. What is k(v(l))?\nAnswer: 48*l**2 + 28*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -260954, -261012, -261070, -261128, -261186, -261244?\nAnswer: -261302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*y = -33194 + 15601 - 16727 for y.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/1067?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2213 in 0.1, -0.1, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(-9)))\/i)\/i*i**(-7)*i*i*i*i**(2\/5)*(i*i*i**(-2\/5))\/i assuming i is positive.\nAnswer: i**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 12:15 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -774240*-0.1.\nAnswer: 77424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/18)\/((-4)\/(-18)). Let h = 4 + i. Let p(x) = 3*x**2 - 6*x - 10. Let r be p(h). Round r to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 9*n + 19. Let w(z) = -4*z - 9. Give -2*h(q) - 5*w(q).\nAnswer: 2*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 847 is divided by 420.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 4*d + 42, -3*g - 5*d + 58 = -0*g. Calculate the remainder when g is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1391 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjeeejeeejjjjeeej. Give prob of picking 2 j and 2 e.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**3 - 13*i**2 + 11 + 2*i + 6*i - 7*i - 9 to x*i + t*i**3 + r*i**2 + z and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 - -302223132133?\nAnswer: 302223131322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/105*-20 + (0 - -3).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.3 + 5. Let i = 12996 + -12990. Let k = 1 - 0.5. What is the nearest to 2 in z, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 + 4*b + 3. Let g(a) = 5*a**3 - 9*a - 7. Let l = -7 + 11. Let o be ((-18)\/l)\/((-3)\/(-6)). Calculate o*c(x) - 4*g(x).\nAnswer: -2*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of q**2\/2 - 5*q + 2. Let a be 6\/(-2 - -1) + -393 + 395. Determine v(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2271091733 to the nearest integer?\nAnswer: 47656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 2:38 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 416*o**3 - 11466*o**2 + 11466*o**2 + (-o**3 + o**3 + o**3)*(2 + 2 - 2).\nAnswer: 418*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 506023 (base 7) to base 4\nAnswer: 111001132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 547 = 29*b - 567 + 1085. Calculate the lowest common multiple of b and 1446.\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21141444 - -114004?\nAnswer: -21022440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2060 divide 676416698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1973 by 67913.\nAnswer: -1973\/67913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - y + 5 = -4*y, 0 = f - 3*y + 5. Let a be 1\/f*(4 - 4). Suppose t - 70 = -k, -t + 4*k + 95 = -a*t. Is t a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27483 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 15, 8, -15, -60, -133, -240, -387?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3201 - -10510?\nAnswer: 14111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssbbbsbsbbggsbbsb. What is prob of picking 1 b, 1 s, and 2 g?\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 847493431?\nAnswer: 4013, 211187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 j, and 1 h when four letters picked without replacement from jhjjjtbbhjj?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1398.09 + 1398. What is the biggest value in -5, -10\/7, 5, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 + 2*o**5 + 28*o**3 + 32*o**2 + 12*o**4 + 9*o - 210 + 9*o = 0 for o.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 - (-5)\/18. Let v(s) = s**2 + 5*s + 1. Suppose 0*j - 20 = 4*j. Let q be v(j). Which is greater: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/309, -4, -2\/7.\nAnswer: -4, -2\/7, -1\/309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - h = h - 54, -3*f - 2*h = -42. Suppose -4*o = -0*o + f. Let y(t) be the second derivative of t**5\/20 + t**4\/6 - t**3\/2 + t**2 - t. What is y(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3644, -27631, -91648, -215363, -418444, -720559, -1141376, -1700563?\nAnswer: -2417788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13061802 and 21593?\nAnswer: 1963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z - 52*z**2 + 5*z.\nAnswer: -52*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/4996 and 62\/123651.\nAnswer: 494604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -12461.\nAnswer: -12460.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)\/(f*f**(-9\/4)*f))\/((f\/f**(1\/5)*f)\/f)**(-2\/3) assuming f is positive.\nAnswer: f**(-73\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 4*g - 4, -g = -3*n + n + 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15\/6)\/(-5) + 1864\/16.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 155323 and 364.\nAnswer: 8076796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 44226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -566*l**5\/5 + 1507*l**2 - l - 2003. Differentiate k(r) with respect to r.\nAnswer: -6792*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2 - 20*l - 200. Let t be n(-5). Sort -7, t, 15, -4, -5.\nAnswer: -7, -5, -4, t, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -125 + 129. Suppose v*n - 22329 + 697 = 0. Suppose 10*b + 558 - n = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*z, -w + 0*w = -5*z + 94. Let s = w + 149. Let y = s - 52. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*b - 326*b = -132 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7)*l**2)**(-3\/23)*(l**(5\/2)*(l\/(l\/(l*l\/(l\/(l\/l**(2\/19))))))\/l)\/(l**1*l**(-9)) assuming l is positive.\nAnswer: l**(67889\/6118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a**2 - 17*a**2 - 19*a**2 as n*a**2 + d + v*a and give n.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 517011931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + s = 14, 0 = -5*t - 169*s + 167*s - 17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 55\/19 + 30\/285. Let -6*g**2 + 0 - 12*g - 3\/4*g**c = 0. What is g?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a + 0 - 13\/6*a**3 - a**2. Let j be l(-2). Calculate the highest common factor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + x - 8. Let f be (-2 - 2)*(x + (-897)\/(-450)). Is 0 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 5*y = -55. Let k(o) = o**3 + 4*o**2 - 3*o + 4. Give k(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 70770388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/2*(1735\/(-6246))\/(64\/(-18)).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -110*z**2 - 3492724*z - 127008.\nAnswer: -2*(z + 31752)*(55*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 571909 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 31*b + 112. Let c be m(11). Let i(f) = -4*f + 3. Let s(a) = 9*a - 7. What is c*i(k) + 6*s(k)?\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 148499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, h: 4}. Give prob of sequence eeh.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50 or 12.6?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*d = 10*d + 176 + 239. Suppose 5*c = -2*p - 1 - 0, -2*c + 23 = -p. Suppose -w - 3*w = 0. Put w, p, d in ascending order.\nAnswer: p, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110 + -109. Let h = 7.2 - 11.2. Which is the closest to p? (a) 1 (b) h (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**5 - 8*n**3 + 7*n**5 + 8*n**3 - 13*n wrt n.\nAnswer: 220*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 44 = 0, u - 30 = -23*p + 26*p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**4 + w**4 - 3*w**4 + (-w**3 + w**3 + 58*w**3)*(3 - 3 + w) - 2*w**4 + 0*w**4 + 3*w**4 + 4*w**4 - 4*w**4 - w**4.\nAnswer: 60*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2 - 402*g - 1559. Let h be v(-130). Let m(k) = -k. Let t(z) = 6*z - 7. Determine h*m(y) + t(y).\nAnswer: 5*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j + 7*j - 24*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jujj when four letters picked without replacement from {j: 9, u: 3}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -195 in ascending order.\nAnswer: -195, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + z + 18. Let u be r(10). Let a = u + 149. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016908 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgzxdexdddg. What is prob of sequence gzxx?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0137 and 38.\nAnswer: 0.5206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (sqrt(272) + sqrt(272) + 1*sqrt(272) + 3)**2).\nAnswer: 288*sqrt(17) + 9840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**3 + 4*l**3 + 0*l + 1 - 6*l in the form i*l**2 + k*l + n + m*l**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -29 (b) 7 (c) 3 (d) -16 (e) 115\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1752 <= -80587\/46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15453807.04 plus -45.7?\nAnswer: -15453852.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 4*(sqrt(931) - (sqrt(931) + sqrt(931) + -1)) + -1*(sqrt(931) + -1) + 5)*1)**2.\nAnswer: -350*sqrt(19) + 23300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 3*d)*(-4 + 1 + 1) + (2 - 11 - 3)*(4*d + 0*d - 3*d)*(-6 + 3 + 1).\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 120591255419 plus -2053?\nAnswer: 120591253366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 + 0.29. What is the third biggest value in 4, k, -1, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 5*v**2 + 3*v + 7. Let d be t(-5). Let g = d - -10. Factor -i - 3*i**g + 0*i**4 - 2*i**3 - i**3 - i**4.\nAnswer: -i*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 420933 + -420935.65499. Let n = x + 2.66. Round n to 4 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017616 to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2))**24*p*p\/p**6*(p*(p*p\/p**(-6)*p)\/p*p)\/p*p)\/((p*p\/p**(-1\/4))**(14\/5))**(-4\/9) assuming p is positive.\nAnswer: p**(104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, l: 2, o: 7, q: 1}. Give prob of sequence lqql.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4967 is divided by 415?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*c**2 - 6*c**2 + 112*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven fifths of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**15*u**13)\/(u**(-12\/11)*u*u*(u**13*u)\/u*u) assuming u is positive.\nAnswer: u**(144\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8914 = -10*k - 8864 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 0*c + 96 = 10*z, c - 11*z = -30 - 62 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 - 4*j. Let h = 14 - 8. Let l(t) = -2*t**2 - 5*t. Let f be (-112)\/(-20)*15\/3. Suppose 7 = -5*q - f. Calculate h*l(p) + q*k(p).\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4 + (-16 - 16 + 11)*(4 - 2 - 4))*(2 + 1 + 0 + (2 + 0 - 1)*(1 + 3 - 2))*(0*j - 6*j - 6*j).\nAnswer: -2640*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258655.\nAnswer: 5, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7152 is divided by 1005.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2*((sqrt(75) + sqrt(75)*-3 - sqrt(75)) + -5)*5*-3 + 3)*-1)**2.\nAnswer: 134100*sqrt(3) + 629701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55584578?\nAnswer: 2, 7, 1879, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 482297.4mg?\nAnswer: 0.0004822974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -80.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4037 - -4099. Calculate the highest common divisor of l and 48.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6450220, 25800890, 58052008, 103203574?\nAnswer: 161255588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -179\/152 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376172 a multiple of 381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppb when three letters picked without replacement from {p: 6, b: 11, i: 2}.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18\/11? (a) -2 (b) -1\/16 (c) 3.5 (d) -5 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6406323, -12812644, -19218965, -25625286, -32031607, -38437928?\n\"Answer: -6406321*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 + 16*b**2 + b - 6. Let z be s(8). Solve z*v = 2 - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1228 and 7061.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14430 - -0.3.\nAnswer: 14430.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1*28\/1064*74\/37?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*b*m**2 + b*m - 27*b + 18*m**2 - 144 wrt m?\nAnswer: 22*b*m + b + 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 88*b**2 + 2*b + 201. What is the ten thousands digit of k(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3 - 11. Solve -3*i - 8 = k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**3 - 171*n**2 + 7770*n + 24768 = 0.\nAnswer: -86, -3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r + 38*r - 61*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23096124 - -15813191. Let s = k + 7282933.08200053. Let f = -0.082 + s. Round f to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11\/293 - 20459\/6446. Calculate the common denominator of u and 31\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + 3*j**2 - 2*j - 2*j**2 + 4 + 3*j**3. Let z(d) = -4*d**3 + 2*d**2 + 2*d - 5. Let g(q) = -5*w(q) - 4*z(q). Let t = 17 - 14. Give g(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.42 - 4.58. What is the nearest to 1\/3 in 1\/4, 0.3, h, -2\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -322\/95 not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1046 in 0.3, 1\/8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3903507\/98 + -39831. Find the common denominator of h and 63\/10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -167 > -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -36*f + 244. Let u(i) = 43*i - 246. Let l(n) = 3*u(n) + 4*x(n). Calculate l(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00728759987 rounded to six dps?\nAnswer: -0.007288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5243701 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 557, 1994, 4397, 7772, 12125, 17462?\nAnswer: 23789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*q - 5*q**2 - 6*q**2 + 10*q**2)*(-4 + q**2 + 4) to k*q**4 + g*q**3 + m*q + u*q**2 + t and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1842 is divided by 374.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - (2 + (1 - 2)). Let y(r) = -4*r**2 + 0*r**2 - w*r**2 + 11*r**2 - 1 + 7*r. Calculate y(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6404 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 13*a**2 + 11*a - 9. Let k be z(-12). Put k, 5, -7 in increasing order.\nAnswer: -7, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -136. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x - 65. Let v be c(13). Find r such that 0 - 1\/3*r**4 + 0*r**3 + v*r + 1\/3*r**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 6:19 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97*f**4*k + f**4 - 3*f**3*q - 4*f**2*k*q + 5*f**2*k - 14*q wrt f?\nAnswer: -2328*f*k + 24*f - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**2*j**3*l**2 - 101097*a**2*j**3 - 2*a**2*l**2 - a*j**2 - 21*j*l**2 - 169 wrt j.\nAnswer: -6*a**2*l**2 - 606582*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -4\/5, -33, 60?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-4) - 1\/4. Let n(i) = -4*i - 2. Let u(z) = -5*z - 1. Let a(h) = 3*n(h) - 2*u(h). Let c be a(-3). Solve g = -c*v - y, -1 = -3*g - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 11 (c) 2\/7 (d) 2\/17 (e) -3 (f) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (0 + sqrt(171) + 1)**2) + (sqrt(76) - ((sqrt(76)*-4 - sqrt(76))*-1 - sqrt(76)))\/sqrt(4).\nAnswer: -172 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5*c + 14 = 0, -n - c + 11 = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 16 + -15 + 8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3651282 divided by 1217094?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 3*u**2 + u. Let r(w) be the second derivative of -w**3\/6 - 10*w. Determine f(r(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391807 a multiple of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 6. Let k be (-972)\/189*(7\/2)\/(-1). Sort -3, k, j.\nAnswer: j, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497 is divided by 48?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, g: 6}. Give prob of sequence ggu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -741 + 735 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169786391 < -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (1 + -12 - (11 - (-7 + 14)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33, 16, -1, -18?\n\"Answer: -17*z + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b\/(b*b\/(b**(-8)*b))*b)\/b))\/b*b)\/b**13*b**(-1\/4)\/b**(-3) assuming b is positive.\nAnswer: b**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - a**2 - 3*a + 2. Let b be o(0). Let f(p) = 0 - 2 + p**3 + 0. Let l be f(2). Solve -l = b*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2350481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -2, -7, 4, -1, -5, -20 in increasing order.\nAnswer: -50, -20, -7, -5, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 127 = -382 + 19. Solve -v - 2 = -2*c - 13, -w = 5*c - 4*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p*r**2*y**2 + 38*p + 18*r**3*y**2 + 20*r**3*y - 2*r**2*y - y**2 wrt y?\nAnswer: 6*p*r**2 + 36*r**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 5. Let j be i(7). Suppose -4*h = 5*o - 27, -5*o - h - h + 21 = 0. Let z(r) = 4 - 3 + r**3 - 2*r**o + 3*r. Determine z(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*c + 82*c = 64. Suppose -247 = -c*v - 5*d, -327 = -5*v + 5*d - 7. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47807?\nAnswer: 47807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*p**2*r + 5*p**2 - 7*p*r - 2*p - 17325*r wrt p?\nAnswer: -50*p*r + 10*p - 7*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 4*w + 4*w + (-1 + 1 + 1)*(-w - 2*w + 0*w))*(-2*w**3 - 3*w - 7*w**3 + 7*w**3).\nAnswer: 4*w**4 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 774384 is divided by 73?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9288, 9454, 9620, 9786, 9952, 10118?\n\"Answer: 166*b + 9122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + 4*j**3 + j**3 + (-4*j + 0*j - 2*j)*(2*j**2 - 11*j**2 - 6*j**2).\nAnswer: 94*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**4\/12 - 2*t**3\/3 - t**2\/2 - 6*t. Give c(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1733327 (base 10) in base 13?\nAnswer: -488c4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 262364 (base 9) to base 12\nAnswer: 78187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -13, -39, 4, 6, -40, 0 in descending order.\nAnswer: 6, 4, 1, 0, -13, -39, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*i = 484*i + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2669 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 618 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 339463\/67 + -5067. Let w = 5903\/536 + p. Find the common denominator of w and 61\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/35 + 1\/5. What is the units digit of s + -4 + 7 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -68 - 7. Suppose 0 = -6*u + u + h. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 + k - 6. Calculate the remainder when 45 is divided by z(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*s*u**5 + 469*s*u**4 + 11*s*u**2 - 2*u**3 + 67101*u**2 wrt u?\nAnswer: 1920*s*u**2 + 11256*s*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 5*z**2 + 3*z - 12. Let x be b(5). Suppose -2*l = 2*l - 2*s - 410, -2*l + x*s = -195. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17985463?\nAnswer: 17985463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -177, -156, -135, -114?\n\"Answer: 21*t - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/7 + 511422*u**3\/7 - 32693802048*u**2\/7 - 32694313472*u\/7.\nAnswer: -2*u*(u - 127856)**2*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 72, 80, 88, 96, 104?\n\"Answer: 8*l + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 + 2. Let f be (6 - 10) + -2 + -1. Let n = f + 9. Let z(u) = 10*u**2 - 1 + 5 + n. Give -7*c(x) + 2*z(x).\nAnswer: -x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-1) - (-34 + -4). Suppose r*y - 5398 - 7562 = 0. Is y a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 585491101 to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 32068\nAnswer: -64136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10273*y - 10291*y + 252 = 0 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 30*s**4 + 41*s**3 - 5*s**2 + 3154. Let p(f) = -44*f**4 - 62*f**3 + 7*f**2 - 4731. Let x(n) = -7*b(n) - 5*p(n). Differentiate x(y) wrt y.\nAnswer: 40*y**3 + 69*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r - 3*r + 3*r)*((1 + 2*r - 1)*(-2*r - r**2 + 2*r) + 4*r**3 - 10*r**3 + 7*r**3) as s*r**4 + g*r + k + p*r**3 + d*r**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1 = 7. Suppose w*s + 2*s - 564 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 64 - 25\/2*q**2 - q - 1\/12*q**4 - 35\/6*q**3. What is the first derivative of p(x) wrt x?\nAnswer: -2*x - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 194 - ((209 - 13) + -107)\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxxoltxxt. What is prob of sequence otl?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 6:38 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6238, 12474, 18710, 24946, 31182, 37418?\n\"Answer: 6236*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1766660827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*r - j, 5*r - 37 = 4*j - 0. Let i be 1\/r*385\/33. Which is smaller: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91 + 93. Factor 11\/4*p**3 - 3*p + 3\/2*p**4 - b + 1\/4*p**5 + 1\/2*p**2.\nAnswer: (p - 1)*(p + 1)*(p + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -1 (c) -1\/4 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 7:42 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2002638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(35)\/sqrt(7) + -2)*2 + ((sqrt(245) - sqrt(245)*2)**2 - sqrt(245))*6.\nAnswer: -40*sqrt(5) + 1464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d - 7*d + 9*d + 4. What is v(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*a - 0. Let g(v) = -4*v**3 + 3*v**2 - 3*v. Let p(u) = u**3 - u**2 + u. Give a*p(l) - g(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 954 = 9*o + 4*g + 1050, -4*o + 4*g = 60 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075538900 a multiple of 2020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -10*g - 54. Suppose -2*c + 2*b = 0, 4*c + 5*b + 40 = c. Let q be w(c). What is the lowest common multiple of 14 and 30\/2 + (q - (0 - 5))?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, r: 1, p: 2, e: 2, n: 6}. What is prob of picking 1 p, 1 r, and 1 u?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300 - -321?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/10 and -67\/1801854.\nAnswer: 9009270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 143960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 23*g**5\/120 - g**4\/12 + g**3\/3 - g. Let r(v) be the second derivative of n(v). Is r(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -106, -3, 5\/2, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32141 divided by 69?\nAnswer: -32141\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12815)\/(-1864))\/((66\/(-16))\/(-33))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w**3 - 5*w**2 + 8*w. Let n(r) = 6*r**3 + 5*r**2 - 10*r. What is -4*n(o) - 5*s(o)?\nAnswer: o**3 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 5*i - 120. What are the prime factors of 30\/8 + (-10)\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*o - 26 - 94 = 0, -3*o = -12. Suppose -4*r = -5*n + 350, -3*r = -n - r + d. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - f - 4, 4*r + 2 = -f + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -5*g**2 + 1. Let t(w) be the first derivative of 14 + 1\/3*w**3 + 0*w**2 + 0*w. Determine t(a(x)).\nAnswer: 100*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -37?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -17.\nAnswer: -17, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 3*d - 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173818 by 747.\nAnswer: -173818\/747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2061, 3986, 5633, 6864, 7541, 7526, 6681?\n\"Answer: -23*j**3 - j**2 + 2089*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*s + 9, -4 = -2*s + k - 1. Let o be -7*(-1 - (0 + s)). Let h = o + 18. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 5*b - 9. Let p be y(7). Let c = 50 - p. Let g = c - 25. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.2, 323, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 44 + 1603?\nAnswer: 1647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 53 - b5132?\nAnswer: -b50ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**3 + 2. Let s be (21\/(-9) - -2)\/(2\/(-6)). Let c(d) = -d**3 + 1. Calculate s*u(m) - 2*c(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2 + 2*f**5 + 2*f)*(7 + 3 - 10 + 6)*(18 - 15 - 8).\nAnswer: -60*f**5 - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3124592 times 0.4?\nAnswer: 1249836.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3490*(-54)\/(-72)*22400\/(-6). What is f rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**3 + 8*m**3 + 7*m**3 - 22*m**3 + 9*m**3.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -73216, -73220, -73226, -73234, -73244?\n\"Answer: -s**2 - s - 73214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15527550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3655138901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4258938069?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -242*i**3 + i**2 + 4*i + 4. Let p be f(3). Let q = p - -3124. What is q rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95\/(-114) - (-12010)\/12?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-7 + 24 + -62 + -3 + 31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 50\/943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 16 = 4*y, y + 3*c - 7*c = -1. What is the highest common factor of 27 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/22)\/(i*i*(i\/(i**(-1\/9)\/i))\/i*i*i) assuming i is positive.\nAnswer: i**(-985\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.3307758.\nAnswer: -0.03307758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-4)\/(-6))\/((-12)\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3930*m**4 - 11*m + 36 wrt m.\nAnswer: -47160*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 at least as big as -4285.222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2750, -8638, -18452, -32192, -49858?\n\"Answer: -1963*b**2 + b - 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2124693?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(54)\/(sqrt(42)\/sqrt(7) + sqrt(6))) + ((sqrt(704) + -3 - sqrt(11))**2 - sqrt(11)) + -5.\nAnswer: -41*sqrt(11) + 543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 plus 10?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33181794 and 180.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u**3\/2 - 32455*u**2\/2 + 48585*u + 64820 = 0. What is u?\nAnswer: -1, 4, 6482\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 365 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 299959 smaller than 299959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2966176.\nAnswer: 2, 92693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 3 (b) -33 (c) 8 (d) 2\/7 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/28 and -23\/112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-24)*(1 - -2). Which is the third smallest value? (a) s (b) 3\/8 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqk when three letters picked without replacement from kqkqqkq?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -15*t + 12. Suppose -h = -t*h + 148. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*h - 3*x - 12, h + x = -4. Let p = -380 + 299. Let n = 81.5 + p. Which is the closest to h? (a) 4 (b) n (c) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -225, 1478649.\nAnswer: -225, -5, 1478649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -81.6483361 and -16?\nAnswer: 65.6483361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8870233?\nAnswer: 2557, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26046\/162 - -2*1\/9.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14154569253346977\/242710689320 - 1\/6559748360. Let u = g - 58320. Calculate the common denominator of (-3)\/(-16)*(108 - 0) and u.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*p**2\/2 + 143*p\/2 + 8.\nAnswer: -(p - 16)*(9*p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 113733 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-8) + (-132)\/16. Let t = 13 + x. Solve t*m + 0*a + 3 = -2*a, m + a = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(13\/5)*f*f**(-20)\/f)\/(f**(-3\/7)*f)**(-13\/3) assuming f is positive.\nAnswer: f**(-1567\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -58\/9*w**3 - 1\/15*w**5 - 16\/9*w**4 + 3*w - 6 - 28\/3*w**2. Find q such that o(q) = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/7*a**3 + 0 + 36\/7*a**2 + 40\/7*a = 0. What is a?\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/3, 1, -19\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -14*o**2 + 124*o - 108. Give a(9).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-4)\/(16\/20). Let g(x) = r + 1 - 9 + 4 - 2*x. Determine g(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 12*b**2 - 1. Let k be g(-1). Let y = k - -2. Suppose -q = -4*q + 15, 0 = 5*c - 2*q - 180. Calculate the remainder when c is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37 + b?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 27 (c) 64 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -39 - -39 - (25 - -18)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-2))\/(-5)*4\/(-16).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1207 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = s - 3*v, 5*s - 6 = 3*s + 2*v. Suppose 5*c + h - 7207 = 3*h, -4*h - 2886 = -s*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -30 - 16 + 19*q + 49. Give v(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 145 = -26. Let c = o - 28. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 903963799?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1715 + 178*y**2 - 1715 + 110*y**2 as k*y**2 + w*y + b and give k.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5414 + 5413.9995078. What is p rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -842521283 + 9.\nAnswer: -842521274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 2:08 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8)\/k)\/(k\/(k**2\/k*k)*k)*k**(1\/2)*k*(k\/((k**(-3)*k)\/k))\/k*k*((k**6\/k)\/k*k**(2\/17))\/(k**(-5)*k*k*k*k*k*(k**(-3)\/k)\/k) assuming k is positive.\nAnswer: k**(191\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.43 + 5.13. Let t = x + -5. Let y be (-51)\/84 - (-3)\/4. What is the second biggest value in 4, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, 22, 3 in decreasing order.\nAnswer: 22, 3, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -1271955.\nAnswer: -635977.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - -53. Calculate the highest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s**3 - 6*s**2 + 233*s - 3. Let u(l) = 12*l**3 - 11*l**2 + 475*l - 5. What is 4*u(y) - 7*z(y)?\nAnswer: -y**3 - 2*y**2 + 269*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -15*b**2 - 1332*b + 249. What is v(-89)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -59*w**2 + 21*w + 74*w**2 - 17 - w**3 - 7. Suppose -4*b = 3*n - 21 - 55, -2*b + 2*n + 24 = 0. Does 8 divide q(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.19 + 2.81. What is the second smallest value in -0.2, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b + 2. Let l be c(2). Suppose 0 = -v + 17 + l. Let d = -8 + v. What is the greatest common divisor of 253 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, h: 2, v: 11, j: 3}. Give prob of sequence zzjj.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -15*k + 46. Let s be h(3). Let t(u) = u**3 - 2*u**2 + u. Give t(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 131*d + 959. Let t be x(-7). What is the nearest to -0.2 in 1\/7, 2, t, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, y: 1, v: 1, g: 1, i: 1, h: 1}. Give prob of picking 1 u and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 399157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2778853114?\nAnswer: 2, 83, 199, 84121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 1829*k + 4. Let w(f) = 3376*f. Give g(w(v)).\nAnswer: 11397376*v**2 - 6174704*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.65, -3\/44, -0.3, -0.32?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 342*f - 1026. Let j be d(3). Solve j = -29*l + 30 + 115 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1519 and 2387.\nAnswer: 16709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(684) + -1 - sqrt(684)) + 3 + -1 + 1 + sqrt(684) + -2 + -6*(sqrt(684) + -1 + sqrt(684)))**2.\nAnswer: -1188*sqrt(19) + 82845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 14) in base 2?\nAnswer: 100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/18 and -63\/212.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**3 + 68*b**2 - 76*b + 42. Let f(o) = 2*o**3 - 23*o**2 + 25*o - 14. Let j(g) = -14*f(g) - 5*l(g). Factor j(w).\nAnswer: 2*(w - 7)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, l: 1, u: 4, a: 1, j: 1}. What is prob of sequence ual?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d - 11*d + 5. Let a(g) = g + 7. Calculate a(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/418451 and 7\/209?\nAnswer: 7950569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60229198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 40*i**3 + 13*i**2 + 3*i - 12. What is the ten thousands digit of o(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + 0 + -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 8:55 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microsecond in nanoseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 35921413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5 + 2 = 0. Let n(v) = v**2 - v - 14. Is n(g) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from {c: 1, i: 3, y: 9, t: 5}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6 + (-28)\/105?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 3*k + 0*k)*(-20 + 8 - 9).\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**2 - 124*c - 4425. Give r(-21).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a meter in centimeters?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 + -1 + 7898 + 3. What is the greatest common divisor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.023187 + 0.12\nAnswer: 0.096813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five thirds of a week in hours?\nAnswer: 3080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2720631572.960158 - 2720210127.56. Let l = z - 421442. Let u = 3.4 - l. Round u to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(175)*-2 - (sqrt(567)\/sqrt(9) - (1 + (sqrt(63) + sqrt(7))**2)).\nAnswer: 27*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 15*o)*(111*o - 193*o + 199*o + 1) - 2*o - 2*o**2 + o + o**2 to the form i*o**2 + l + m*o and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/13 - 260*h - 3382\/13 = 0. Calculate h.\nAnswer: -1, 1691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4925078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/5)*k)**(-3\/25)\/(k\/k**6*k**(2\/7)))**(-4\/31) assuming k is positive.\nAnswer: k**(-16248\/27125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1100101001011110110?\nAnswer: 1100101001011111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(3\/((-36)\/(-289)) - (9254\/168 - 55)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -37. Suppose -b = -w*b + 292. Let z = -178 + b. Calculate the greatest common divisor of 76 and z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52 + 11025232?\nAnswer: 11025160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*sqrt(128) + sqrt(128) + sqrt(128))*-2 - (3 + sqrt(128) + -1 + -5 + sqrt(128)))**2.\nAnswer: -288*sqrt(2) + 4617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**4\/3 - 19*o. Let m(a) = -18*a. What is j(m(f))?\nAnswer: 1296*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*n - 14*n**2 - 23*n + 69*n + 198 - 23*n - 217 in the form j*n**2 + h + p*n and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -211 + 210.884. Let c = m + -0.084. What is the third biggest value in -3, 4, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 13*t + 79. What is the remainder when k(11) is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17409.7 + 17410. What is the biggest value in h, 0.2, 1\/1189, -2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -184*q + 5236. What is h(29)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u. Let g(q) = q**2 - q. Let c(h) = -3*h**2 + 2*h. Let k(y) = 6*c(y) + 17*g(y). Let z = 21 - 11. Let a = 7 - z. What is a*d(s) - 2*k(s)?\nAnswer: 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222120 - -22122202?\nAnswer: 12200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, g: 3, n: 1, f: 6}. Give prob of sequence ygyg.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c + 31 = -11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.6, -3, -0.8.\nAnswer: -3.6, -3, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**5\/5 + 10*c**4 - 218*c**3\/5 + 374*c**2\/5 - 284*c\/5 + 16 = 0.\nAnswer: 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 5*h - 1. Suppose -4*u - 47 = -3*c + 55, 5*c - 170 = 4*u. Let b be 33 - c - (-6 + 1). Give v(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-70)\/20)\/(1\/(-6)) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 4 + (9 - 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3925*s - 1911*s - 1900*s - 16872 for s.\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 553151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/5470 and -26\/7031.\nAnswer: 38459570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2686 + -8059\/3. What is the third biggest value in g, -0.4, 5.26?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**0*p)**44\/(p*p**1*p*(p*p*(p\/p**(-3)*p)\/p)\/p*p))**21)**(2\/109) assuming p is positive.\nAnswer: p**(3318\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + h + 0*h)*(0 + 3 - 1) + (-6 + 1 + 3)*(-h + 0*h - 2*h) - 16*h - 613 + 613.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = -5*o - 2*y, -103 = -2*o + 4*y - 9. Calculate the remainder when o is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1888.999561 - 1889. Round p to five decimal places.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.39 + -1.73. What is h rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + sqrt(156) + 2*sqrt(156))\/sqrt(12) + -2 + 3 + (sqrt(143)*-2)\/sqrt(11) + 1 + sqrt(52)\/sqrt(4))**2.\nAnswer: 12*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -21149.90361 to the nearest one hundred.\nAnswer: -21100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 750835825?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 13487 and 1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i**2 + 61*i - 9*i**3 + 3*i**3 - 60*i + 7. Let v(j) = -j**3 - j**2 + 1. Let n(p) = 4*a(p) - 28*v(p). Factor n(u).\nAnswer: 4*u*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4*-1)\/(126\/(-12)))\/(2\/(-3)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 268841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgkggfgggkggkggkkgfk. What is prob of sequence kk?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*g + 2*m = -50*g, 4*m - 8 = -4*g. What is the closest to 2 in g, 5\/3, 89?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1\/7, 0.2 in decreasing order.\nAnswer: 6, 0.2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 7*a + 17. List the prime factors of y(10).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -6 (b) 6\/11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*q**5 - q**4 + 3723*q**3 - 2*q**2 + 5*q + 12310 wrt q.\nAnswer: -840*q**2 - 24*q + 22338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20496 and 576?\nAnswer: 245952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z + 9*z**2 + 8*z**2 - 24*z + z**2 wrt z.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-200)\/14)\/((-56800)\/9940)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8037 and 48.\nAnswer: 128592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**2 + s - 6. Let u be k(-9). Let o = 713 + u. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -12768706.\nAnswer: -19\/12768706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 976.6 (c) -7.71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 11 + 4*n + n**2 - 4 + 9*n. Let b be w(-15). Solve -5 = -5*u, b*p - 2*p - 3 = -5*u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/(2 + -5) + -5. Suppose h - r = o, 5*o = 5*h + 4*o - 4. Suppose -3 = -4*p + 3*p. Solve -p*v - 1 - 2 = h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.30028 * 11688.\nAnswer: -3509.67264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -6*h - 4. Solve 4*j + 11 = -h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Let q(a) = a + 1. Let w be q(13). Suppose l*f = f - w. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2 + 8 + 10 + 7*o + 37. Calculate the smallest common multiple of 28*(2\/4 + 0) and b(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9973, -19944, -29915, -39886, -49857?\nAnswer: -59828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000370412 to 5 decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k = -k. Solve 0 = 3*x - 2*s + 9, 3*x - 3 = -2*s - k*s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**5\/12 + 5*z**4\/24 - 8*z**2. Find the second derivative of q(t) wrt t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 2*o + 12, o + 4 = 3*o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**5\/120 - 5*w**4\/12 - 19*w**3\/12 - w**2 + 2. Determine r, given that q(r) = 0.\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 461.35?\nAnswer: 1845.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48\/77 + 10181\/1386. Calculate the common denominator of g and 11\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -55*d**2 + 238*d + 5. Let v be u(6). Let i = v + 915. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -396 + 397. Solve -m - 2 + j = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -99913919\nAnswer: 29974175.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 14*o + 36. Let v be f(15). Let w = -405 + v. Suppose -1518 = -3*z - w. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 n when three letters picked without replacement from nteatereenmteaeea.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 48 - 25 = j, -3*i - 5*j = -55. What is the remainder when 39 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Let s be -1*(-4 - 2 - -4)\/(-2)*1. Which is the closest to o? (a) -0.5 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 9. Let l(c) = -c - 1. Let h = -16480 + 16476. Determine h*l(m) - p(m).\nAnswer: 3*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/216 and 37\/33?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -543 (base 14) to base 8\nAnswer: -2017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -5*s + 24 - 1, 0 = -s + 2*q + 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 2, 44074 = -269*x + 272*x - 2*y. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2. Let f(x) = -5 - 14*x - 13*x + 4 + 26*x. Suppose 0*t + 2*t = 12. Let n(w) = -25*w**2 + 6*w + 6. Let k(r) = t*f(r) + n(r). Give k(v(c)).\nAnswer: -25*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-368)\/60 - -6) + (-82851)\/(-45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4020 + 4024. Let z(r) = 4*r**2 - 3*r - 1. Let b(v) = 3*v**2 - 3*v. Let j be 2 + (-3)\/(6\/14). Let c(g) = j*b(g) + x*z(g). Give c(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3978 divided by 6\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1) + (3 - (-6 + 10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3 + 52*g**2 + 258*g + 360 = 0. Calculate g.\nAnswer: -20, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000029109905 rounded to seven decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 3*y**6\/40 + y**5\/5 - 17*y**4\/8 - 3*y**3 - 11*y**2. Factor u(l).\nAnswer: 3*(l - 2)*(l + 3)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4020 + 4051. Solve r = 3, 2*z + 5*r - c = 6*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52411234.\nAnswer: 2, 19, 59, 97, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 17432064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2001 + -1981 + 0 + -16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45564*w**3 + 2*w**2 - 6*w + 144.\nAnswer: -273384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 783*n - 809703 - 809705 + 1619408.\nAnswer: 783*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -9\/10 (b) 0.4 (c) 0.32136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -100*s**2 + 1304*s + 12. What is n(13)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185645 and 58315?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7377950 divided by -5002?\nAnswer: -1475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 14*l + 13. Determine b(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.21 and 26754286.\nAnswer: -5618400.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*j = -26*j - 34560. What is the smallest common multiple of 1600 and j?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51097, 102199, 153309, 204427?\nAnswer: 255553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 6*n - 7. Let c(l) = -l**2 - 6*l - 8. Let t(p) = -6*c(p) + 5*k(p). Let a be t(-4). Suppose a*g = -21 + 41. Sort -3, 0, g in ascending order.\nAnswer: -3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -689*z + 41691 = -5342 + 6382 for z.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 41. Let f be x(12). Suppose t = 4*t + 3*p - 75, 2*t - 5*p = f. What is the common denominator of -61\/8 and t\/77*(-6)\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1\/8, 0.1, 5, 3\/10 in ascending order.\nAnswer: -7, 0.1, 1\/8, 3\/10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/537405 and -26\/48855.\nAnswer: 537405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 11*y + 63. Let u be s(-15). Solve 6*d = 2*d + u*r - 4, -3*r = -3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -19.5. What is the closest to -2\/5 in a, 0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylm when three letters picked without replacement from {l: 1, y: 1, m: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 3*f + 4. Let j(x) = -x**2 + 11*x - 13. Let h be j(10). Let p be (2 + h - 2) + 2 - 5. Calculate r(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 2*w**2 + 2*w + 1. Let c be d(-1). Let g be 12\/(-8)*1*-2. Suppose c = a + g*f - 28, 0 = 4*a + 5*f - 3*f - 62. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 26*m**7\/105 - 29*m**4\/8 + 4*m**2. Find the second derivative of t(r) wrt r.\nAnswer: 624*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75909, 75931, 75969, 76023, 76093?\nAnswer: 76179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-27) - 8\/36. Suppose -2*j - 6*o + 3*o + 95 = v, 0 = -o + 3. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 h when three letters picked without replacement from whebembp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -220900000 rounded to the nearest one million?\nAnswer: -221000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 3. Let d(q) = 22. Let y(g) = d(g) - i(g). Let m be y(-20). Let b = 1 + -1. What is the biggest value in m, -0.5, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 5327 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9560227672843 and -0.4.\nAnswer: 9560227672842.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 2:23 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 + -9 + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15 - -4)\/(-22) - 7305\/(-2)?\nAnswer: 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309629597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2510 - 2513. Which is the third smallest value? (a) 1\/4 (b) -1\/2 (c) x (d) 25 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 302 and 4815541?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000205495 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179001?\nAnswer: 3, 19889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7895 by 1579.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - 35. Is v bigger than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1459*4\nAnswer: 5836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -38, 99\/4, 303?\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*u + 13, 0*u + 5*n + 13 = 3*u. Calculate the smallest common multiple of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-15)*(-45)\/10. Let q be (14\/(-105))\/((48\/(-100))\/i). What is the second biggest value in 0.41, 1\/7, q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*u**2 - 90*u**2 + 9*u**2 + 22*u**2 + 28*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.5 + 0.5. Let t = 86522 - 86522.3. What is the third smallest value in 1\/3, t, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*x + 85 - 1849. Suppose -x*w - 32990 = -51*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5803\/10 - 571. What is the common denominator of i and 71\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3260942.\nAnswer: 2, 1630471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 137, 0.3 in decreasing order.\nAnswer: 137, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, a: 2, n: 3, t: 6, u: 1, k: 4}. What is prob of picking 1 q, 1 k, 1 a, and 1 u?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 1. Let u = -26 - -24. Determine w(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123\/7 at most as big as 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4445415 and 5330?\nAnswer: 364524030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3717 times 0.1?\nAnswer: -371.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -32\/301 (b) -0.4 (c) 194\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*r = 1285 - 277 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 693 and 57750?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Let r = -13599 + 9804881\/721. Let n = 1476\/12257 - r. Which is the closest to 0? (a) n (b) w (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4154 divided by 62.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 4824*s - 4829*s - 6, 0 = -10*i + 5*s + 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4096 by -3.\nAnswer: -4096\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9}. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7*t**3 + 3*t**2 + 2*t - 63. Let a(c) = 14*c**3 - 6*c**2 - 5*c + 125. Let q(z) = -2*a(z) - 5*y(z). What is the derivative of q(w) wrt w?\nAnswer: 21*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 113954 and -876.\nAnswer: 113078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5014230 - -5014229.5999937. Let w = -0.7 + 0.3. Let m = w - j. Round m to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 - 2*q**3 + q**4 + (-933 + 933 + 16*q)*(-3*q**3 - 4496*q + 4496*q + 18) to g*q**3 + i*q**2 + y*q + k*q**4 + m and give k.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -5*a**2\/2 - 5*a + 4490. What is f(2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117761.67ns in hours?\nAnswer: 0.000000032711575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3879 + -5\nAnswer: -3884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 + 102.89606.\nAnswer: 255.89606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*1\/8*22. Suppose 0 = -j + p - 2. Calculate the greatest common factor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81659?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 67625 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-2))\/(-4 + 6). Let q be (-3)\/6*3*-2. Suppose -2*m + 4*m - t = q, -m = -5*t - 24. Put f, -3, m in ascending order.\nAnswer: -3, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -26. Let l = 0.25 + -4.25. Which is the fourth smallest value? (a) q (b) -3 (c) l (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Let a(c) = -3*c**2 - 2*c**2 - 3*c**2 + 7*c**k. Let f(p) = -6*p**2. What is a(f(v))?\nAnswer: -36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 + 7*m**2 + 4*m - 8. Let j(x) = -3*x**3 - 8*x**2 - 3*x + 9. Let a = -13 - -17. Let g(n) = a*v(n) + 3*j(n). Is 3 a factor of g(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220320 (base 12) to base 6\nAnswer: -15322040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -9 - 840\/330*(-1 - -3).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135 and 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -414 + 603. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 - 15*w**2 - 5*w + 10. Let v = 7 - 7. Let u(n) = -5 + v*n**3 + 7*n**2 - n + 3*n - n**3 + 0. Let a(h) = -2*f(h) - 5*u(h). Give a(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*q - k - 10, -25 = 4*q - 5*k. Is (-3)\/(-2)*(q - (-970)\/15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -16) + (7 - (1 + -13))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1. Suppose -798127 - 81873 = u*p. Round p to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 342.7358 to zero dps.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*c - 2225 + 9505. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbrggbggbgrr. Give prob of picking 1 g, 1 b, and 1 r.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-1311)\/435)\/((-6)\/18 + 11\/15).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 255 + -249. Is d\/45 - (-48763)\/15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -0.1, 1\/2, 197.\nAnswer: -1\/8, -0.1, 1\/2, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 29 + 9 + 12. Suppose -16 = -13*f + 62. Determine z(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*m - m = 1014. Calculate the highest common factor of m and 5993.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/2*(0 - 2). Suppose -a*h + 15 = 4*x, 2*h - 2 - 1 = -x. Suppose -5*t - 2*u = 3*u - 105, x*u - 10 = 0. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = t, -3*t + 4*n + 39 = 3*n. Let o(p) = p**3 - 11*p**2 - 8*p - 11. Let c be o(t). Let s = c + 236. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 8*l**2 - 7*l. Let s be d(-7). Suppose s = t + t + 48. Let b = -22 - t. What is the lowest common multiple of b and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwypepcywpypceeyeye. Give prob of picking 3 c and 1 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 162.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16\/327 (b) 5 (c) 0.2 (d) 0.5 (e) -19 (f) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + d + 4. Determine k(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 - 85.12. Let s = x - -0.12. Let h = -55 - -167\/3. Which is the closest to -1? (a) h (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.6 and 0.3?\nAnswer: 2.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 281729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1286.708993 to the nearest ten.\nAnswer: -1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2323032 (base 6) to base 12.\nAnswer: 59478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*p - 22, p - 44 = -2*s. Calculate the remainder when 38 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l - 5. Suppose 4*n - 13 = -3*f, 3*n + 2*f = 7*f - 12. Let h(x) = 2*x + 171*x**3 - 166*x**3 - x**2 + 0*x**2 - 1. Let g be h(n). What is d(g)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1769072 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 5*y - 3. Let u be d(-3). What is the derivative of -1 + 1 - u + 3*h**2 wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/((-28)\/(-16)) + (-4)\/4. Suppose 2*h - 135 = 2*n - 399, -2*n = -m*h - 266. What is the remainder when n is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7643 = -4*q - 3*b, 3*q - 3*b - 1050 = 4698. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7390723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -6.7. Let v be 7110\/2700 + 4\/(8\/(-5)). Which is the smallest value? (a) 1\/9 (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 7:34 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6482, 13149, 19812, 26471, 33126, 39777, 46424?\nAnswer: 53067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2213736.12274892497 + -178.24523327503. Let a = r - -2214137.368. Let q = 223 - a. What is q rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((6*a - 3*a - a)*(4 + 3 - 5) + (-382 - 26*a + 382)*(0 + 1 + 0))*(11*a**2 + 2*a + 14*a - 8*a**2) in the form b*a + p + s*a**3 + c*a**2 and give c.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 13) to base 15.\nAnswer: 2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43349813783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.8 + 151.2. Let u = -166.00033 + r. What is u rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 178*v - 356. Let b be c(-2). Solve b*s = g, -37 = 5*g + 3*s - 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*x**3 + 446*x - 65*x**3 + 239*x + 470*x + 128*x**3.\nAnswer: 5*x**3 + 1155*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12660 (base 8) to base 16\nAnswer: -15b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1141 + 2002. Suppose 5*a = -4*x + p, 3*a - 431 = 5*x + 56. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.08 from 0.1098.\nAnswer: 0.0298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001111 + -11100?\nAnswer: 1110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - v**2 - 2*v - 1. Let l(z) = 14*z**3 - 5*z**2 - 10*z - 4. Let b(f) = l(f) - 6*o(f). Suppose 0*q - q = 2. Calculate b(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 87\/11. Let i(x) = -x + 3. Let g be i(3). Which is the biggest value? (a) 2 (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.2, 0, -7, -0.16 in descending order.\nAnswer: 0.2, 0, -0.16, -1\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 963 and 49165965?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*i + 10 = 0, -4 = -k + 3*i + 10. Suppose 4*r + 4*w = 16, 0 = -r + 5*r + k*w - 12. Solve r*b - 4*y - 14 = 0, b + 5*y = -b - 22 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 12:59 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - 65713a9?\nAnswer: -65713a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9831.\nAnswer: 3, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 67211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 14*g - 1. Let b be x(-7). Suppose 0 = -v - 2*v - 2*a + b, -4*v + 81 = -3*a. Solve -2*w + 5*l = 3*w - 10, -2*l - v = 5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 3*m**2 + 4*m + 1. Let n be i(-4). Let r be 2*n\/2 + 4. Suppose r*d - 171 = 154. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c - 11. Let w be m(-4). Let h be (4 + w + 92)*-2. Let x = 272 + h. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6a - -145974?\nAnswer: 145a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -641*r + 7 + 283*r - 348*r + 104*r - 687*r as o*r + p and give o.\nAnswer: -1289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**5\/20 - 7*r**4\/12 + r**3\/2 + 5*r**2\/2 + 57*r. Determine q(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -597738*r**3 + 261289*r?\nAnswer: -3586428*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 179360 and 3273320?\nAnswer: 13093280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -28273331*q. Let c(y) = 8*y. Give i(c(x)).\nAnswer: -226186648*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 - 3) + (-9 - 37758\/(-682))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91819980 by 2550555.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2777*g**2 - 2751*g**2 - 2774*g**2 - 2760*g**2 - 2778*g**2 + 13845*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -2*n - 9, -5*c - 13 = 5*n - 3*n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4 = -6, -5*x + 25 = -5*a. Let d be 4\/a + 54\/21. Let m(c) = -2*c**d - 3*c**2 - 7*c - 1 + c**2 + 3*c**2. Determine m(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*j - 5 = -3*j, 4*f + 2*j = 20. Suppose 0 = 5*y - 15, -f*i = -2*i - 3*y + 6. Solve 4*t + 2*p = 8, 3*t + t - i*p = -12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140704292.\nAnswer: 2, 41, 857953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 965, -2, 149229 in descending order.\nAnswer: 149229, 965, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j - 1152 = -7228. Solve -442*o + 32 = -j*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -5, 35.782 in increasing order.\nAnswer: -5, 0, 5, 35.782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, 26, -3, -5 in ascending order.\nAnswer: -17, -5, -3, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 50*a**3 + a - 50*a**3 - a.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*((((x\/((x\/(x*(x\/(x*x*x\/x**(6\/7)*x))\/x*x))\/x))\/x)\/x)\/x)\/x*x)\/x**17)\/(x**(-2\/21)*x\/((x*x**18)\/x)) assuming x is positive.\nAnswer: x**(-43\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 9*t**2 - 4. Determine v(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -116*m - 41. Let h(r) = 23*r + 8. Determine -2*b(s) - 11*h(s).\nAnswer: -21*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17*((-3)\/(-10))\/3 and -1 + (0 - 17\/20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 3 = -3*j - g, -5*j - 2 = g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 14302*s**2 - 10219030*s - 1928737466.\nAnswer: -2*(s + 389)**2*(s + 6373)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1206 + -1206.1. What is the nearest to 4 in -3, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5719*g - 3864*g + 4674*g + 4167*g + (-4*g - 2*g + 5*g)*(0 + 0 - 2).\nAnswer: 10698*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*f**2 + 2\/3*f**4 + 58\/3*f + 0 + 18*f**3.\nAnswer: 2*f*(f - 1)**2*(f + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9593463 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -42*h - 27. Let l be u(8). Let y = l + 375. Solve 10*m + y = 14*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhs when three letters picked without replacement from {s: 9, h: 3}?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 171355 (base 8) in base 3?\nAnswer: 10011022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 16 = 2*c. Suppose c*h - 8*h + 956 = 0. What are the prime factors of h?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - y + y + 2*y**2. Let g be u(2). Solve -16 = -2*c + 4*a, g*c - 7 = 2*c + a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 6 = -4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**3\/5 - 216*j**2\/5 - 2301*j\/5 = 0?\nAnswer: -59, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6989687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 351*o + 4564. What is v(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 497, 995, 1495, 1997, 2501, 3007?\n\"Answer: s**2 + 495*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1578*h**2*u**3 - 83*h**2*u**2 - h**2*u - 11396*h*u**3 + 4*h*u**2 + 7772*u wrt u?\nAnswer: 9468*h**2 - 68376*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2583911917296 - 43*g**2 + 2583911917296.\nAnswer: -43*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 6*k + 1. Let m be w(-3). Let j = m + -4. Let n(a) = a**2 - 5*a - 3. Calculate n(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/5 - 27344*s\/5 + 300663\/5.\nAnswer: (s - 27333)*(s - 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 308 - 72 = 0. Suppose 2*m + t = v, m - 44 + 11 = 2*t. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1040104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -164, -163, -162, -161, -160?\n\"Answer: v - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -35*f - 13. Let o(w) = -44*w - 16. Let q(g) = 4*o(g) - 5*p(g). Let d(a) = 9*a - 5. Give d(r) + 6*q(r).\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 5*z**2 - 10*z - 50. Let k be p(-5). Sort -1, k, -5, 263 in increasing order.\nAnswer: -5, -1, k, 263","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -70, -93, -124, -163, -210, -265?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x. Let r(k) = 9*k**2 + 19421*k. Calculate d(r(u)).\nAnswer: -54*u**2 - 116526*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1127 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0 + 26. Let y be (-2)\/r + (-13)\/(-1183). Let b = 4.4 + -4. Sort -0.4, y, b in increasing order.\nAnswer: -0.4, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 833705, 833706, 833709, 833714, 833721?\n\"Answer: y**2 - 2*y + 833706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 170037 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjii. Give prob of sequence jii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2. Let p be y(-3). Let k = p - -52\/3. Is k at least -4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, k: 6, o: 1, e: 1, v: 4}. Give prob of sequence pveo.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -231 + -10444?\nAnswer: -11230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(17) - sqrt(51)\/sqrt(3)) + (sqrt(17) - (sqrt(833) - (-1 + sqrt(833)))).\nAnswer: -1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 324 + 6. Is x a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 1\/4, -16, -0.05.\nAnswer: -16, -5, -0.05, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 48 = -5*o - 0*o, 5*j = -4*o - 86. Let y = -6 - j. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115666 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: What is 405 minutes before 3:07 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 4010291870647.\nAnswer: -4010291870654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3457 - 3462. What is the closest to 2\/3 in 0.4, -0.4, w, 350?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -a + 3, 4*a + r = 8*a - 38. Let n(k) = k**2 - 8*k - 4. Let d be n(a). Let b be 1 + -1 - -2 - -1. Sort b, 1, d.\nAnswer: 1, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -3, -20, -52.\nAnswer: -52, -20, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385864?\nAnswer: 2, 139, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 4492?\nAnswer: 4492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 46 (b) -0.5 (c) 3 (d) 2\/11 (e) -0.2 (f) 1609\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 16. Calculate the remainder when z is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-four fifths of a kilometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(864)\/sqrt(8) + sqrt(18)\/sqrt(96) - (5 + (sqrt(192)*-1)**2 + 3)).\nAnswer: -75*sqrt(3)\/4 + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1573*d**2 - 1069*d wrt d.\nAnswer: 3146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a kilogram in grams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*d**3 + 67*d**3 + 73*d**3 + 71*d**3 + 59*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5 + 4*l**4 - 5*l**3 + 2*l**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149810, 149791, 149746, 149663, 149530, 149335?\nAnswer: 149066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 12, 4, -12.\nAnswer: -12, 0.1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (9 - 0) - 5 - (-21 - -28).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -1. Let z be 1268\/28 - u\/(-7). Suppose -5*v = -135 + z. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -193 by 999.\nAnswer: -193\/999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*x = -70, -i = i - 2*x - 50. What is the remainder when 97 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1518 times 115?\nAnswer: -17.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -95?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1 = q, -2*m + 6*m - 4*q = 4. Let z(u) = m*u**2 + 3*u**2 - u**2. Let h(i) = -24*i + 3 + 34*i - 3 - 15*i. Give z(h(a)).\nAnswer: 50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*((sqrt(54) + (sqrt(54) - sqrt(432)\/(sqrt(16)\/sqrt(2))))\/((sqrt(27) + 1*sqrt(27))\/sqrt(9) - sqrt(108)*2) + 4).\nAnswer: -36*sqrt(2)\/5 + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)\/g)**(-44) assuming g is positive.\nAnswer: g**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17838, 35672, 53500, 71316, 89114, 106888?\nAnswer: 124632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v**(1\/3)\/v))\/v))\/v**2)\/(v**(-2\/13)\/(v*(v*v**(-5)*v)\/v)) assuming v is positive.\nAnswer: v**(-176\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 1 - 1)*(-i**2 - 5*i**2 + 2*i**2 - 3*i).\nAnswer: 8*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -101111001011001?\nAnswer: 101111001011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k + 12. Let t be b(5). Suppose 0 = 3*q + t - 32. Suppose -6*i + 0*i - 54 = q. Which is smaller: i or -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4 + 25*v**3 - 396*v**2 + 1712*v - 2368 = 0 for v.\nAnswer: -37, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-5))\/((-42)\/(-10)). Let u = -34\/63 - c. Is -1 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -2\/15*j**5 - 2*j - 1\/45*j**6 - 4\/9*j**3 - 2 - 1\/3*j**4 - 1\/3*j**2. Let o(m) be the first derivative of s(m). Factor o(g).\nAnswer: -2*(g + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2 = 2, 5*g + 5*k = 10. Suppose -5*t - 4 = 6. Calculate the smallest common multiple of g and 2\/(t\/2 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 249 and 5395083.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6921 divided by 3?\nAnswer: -2307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204484, 204451, 204418?\nAnswer: 204385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 - 428 + 3891 = 39*w. Calculate the remainder when w is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-9))\/(3\/(-27)). Let o be k - (0 + 2 + -53). Suppose -3*m = 9, 5*f - o = -4*m + 125. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3919, 15874, 35829, 63784, 99739, 143694, 195649?\n\"Answer: 4000*v**2 - 45*v - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -726 - -2?\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 105911183.\nAnswer: 0, 3, 105911183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2090*l**2 - 32*l + 1848. Let b(n) = -418*n**2 - 6*n + 369. Let r(p) = -16*b(p) + 3*w(p). Differentiate r(s) wrt s.\nAnswer: 836*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-119)\/(-255))\/(8379\/(-570))\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 240529 - 164212. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10561, 21069, 31581, 42097, 52617, 63141?\nAnswer: 73669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1141*m - 2803*m + 16682 = -784*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + q + 12 - 1. Suppose -35*u - 9 = -9. Let l be h(u). Calculate the greatest common factor of l and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358475 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2421 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -207, 0, -1, 1\/6, 140 in decreasing order.\nAnswer: 140, 1\/6, 0, -1, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**4 - 2*n**3 + n**2 + 2*n = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -34. Let i be (-3)\/h + (-9)\/(-24). Solve -3*r + i*r = 3*q, 27 = 4*r - 5*q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(800))**2 + ((sqrt(50))**2 + -4 - sqrt(2)) + 1.\nAnswer: -2353 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 11 - 8. Let l be (-7)\/y + 6\/(-9). Let r be (l + 18\/10)\/((-6)\/15). What is the greatest common factor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18\/5 - 51\/10. Let z = 69753\/7 + -9965. Which is the closest to 2\/7? (a) r (b) -2.5 (c) 0.1 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33232 and 4496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228570 is divided by 675.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3861*t = -3856*t + 30, 0 = 3*c + 2*t - 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*v - 196 = 0, 4*v - 7*v - 12 = 0. Let g be (d\/35 - 9\/6)*-2. Which is the third smallest value? (a) -207 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/11, -0.13, -0.2, -149\/24?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -104b7c (base 15) to base 4\nAnswer: -2331110223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89*k**3*r**4 + 325*k**3*r + k*r**4 + 3*k*r**2 wrt r.\nAnswer: -2136*k**3*r + 24*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.134 + -17.134. Which is the second biggest value? (a) -2\/5 (b) g (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/sqrt(10)*-3 - sqrt(16) - (sqrt(576) + sqrt(16))*-2)\/(3*(sqrt(160)*2)\/sqrt(5)).\nAnswer: 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 115*b**2 - 254*b**2 - 256*b**2 + 0.\nAnswer: -395*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -562 - 167*g**3 - 241*g**4 + 167*g**3 - 138*g**4 wrt g?\nAnswer: -1516*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 9:22 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -150 + 157. Sort 5, 0.16, o in increasing order.\nAnswer: 0.16, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 465725*p**2 - 2 - 465843*p**2 as r*p + x + z*p**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2. Let k(w) = 3*w. Let d(y) = -20*y - 22. Let u(z) = z + 1. Let l(t) = 2*d(t) + 44*u(t). Let g(x) = 3*k(x) - 2*l(x). What is s(g(j))?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.06 and 1097995.\nAnswer: 1097994.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 5*c - 307, -h + 4*c = -c - 73. Let d = h - 74. Solve 4*t - 4*z = z + 17, -d*z = 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -12*l + 212. Let s be m(17). Solve -12 = -s*w - 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/18*-2*-6. What is the derivative of f**3 + 4 - w*f**3 + 2 - 4 wrt f?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 - 316275 + 316275.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggzgzzgzzz. What is prob of picking 4 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*-1*2 + ((1*sqrt(78) - sqrt(78))*-5 - sqrt(78)))\/(-4*(sqrt(24) - (sqrt(120)\/sqrt(5) + sqrt(24)))).\nAnswer: -3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2769*f - 8331. Give h(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31245, -124967, -281171, -499857, -781025, -1124675, -1530807?\n\"Answer: -31241*z**2 + z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2215941 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**7\/168 + u**6\/120 - 13*u**5\/80 - 25*u**4\/48 - u**3\/2 + 124*u. Factor b(s).\nAnswer: s*(s - 4)*(s + 1)**2*(s + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q + 3*s - 15 = 0, s - 20 = -2*q. Suppose 0 = 2*b + 4*z - 8, -2*b + z + q = 1. What is the smallest common multiple of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -18. Suppose -3*l = 3*o - 51, r*l - 25 = 5*l. Differentiate 4*h - o*h + 8*h - h**4 + 3 with respect to h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6848 - -6847.9. Sort 27, w, 5, 14.\nAnswer: w, 5, 14, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Suppose 8*w + 35*w = 172. Suppose 0 = 5*b - o, w*b = 7*b - 5*o - 22. Let k(n) = -3*n - 4. Calculate b*k(s) + 4*f(s).\nAnswer: -s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011011 - -100?\nAnswer: -10010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85979037 to the nearest integer?\nAnswer: 9272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -70 - 70 - 69 + 209 + z. What is h(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3))**(-4\/23))**8*(p**0\/p*p**(-2\/11))**(-4\/5) assuming p is positive.\nAnswer: p**(1828\/3795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7076778 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*t + 80, -32 = -2*t - 0*t - k. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*p = -0*p + 21, 0 = -5*n - 4*p + 31. What is the closest to -3\/4 in 0.3, n, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -4 - -3 - 57. Let o = -49 - x. Suppose o = -2*f - f, 2*d - f = 4442. Round d to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/4 of a week?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 0*v + 0*v - 2*v**3 + 2*v**3 + v**3 - 5*v**3 - v**3 + 0*v**3 + (81*v**3 + 176*v**3 + 13*v**3)*(0 + 3 - 2).\nAnswer: 264*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 445 (b) -48\/13 (c) 1\/4 (d) 3\/616 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from hggsssgss.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**3 - 7*t**2 + 4*t + 2. Let o = -5 + 2. Let n(p) = 3*p**3 + 6*p**2 - 3*p - 2. Let f(v) = o*n(v) - 2*h(v). What is f(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44271416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -834 + -350?\nAnswer: -b84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-25)\/15)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 141 + -2310?\nAnswer: -2125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -2*(-3)\/54. Put f, -2, 0.3 in ascending order.\nAnswer: -2, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174025712?\nAnswer: 2, 7, 19, 53, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**3 + 2*m - 1. Let c(k) = 13*k**3 + 31*k**2 - 53*k + 26. Let d(z) = 6*a(z) - c(z). Calculate d(-33).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqnqjqjqnjqnjqqjn. What is prob of sequence nj?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 48.63532t?\nAnswer: 48635320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*d**2 - 2*d**3 + 3*d**2 - 14*d**3 in the form l*d + b*d**2 + x + z*d**3 and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 14 + 5. Let c(v) = v - 2. Let o be c(q). Let f(i) = 9 + 2*i - 5 - 3 - o*i. What is f(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652*d - 2970*d - 162855 = 1301*d for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23531 - 2117827\/90. What is the common denominator of x and 43\/675?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50993 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-18))\/((-36)\/(-162)). Which is the second biggest value? (a) 6 (b) 4 (c) -6 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01193212 to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**2 + 23*g - 14. Let r(h) = -12*h - 5. Let f be r(0). Does 12 divide q(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) + 3 + sqrt(125) + sqrt(125) + ((sqrt(125) - (1*sqrt(125) - sqrt(125))) + sqrt(125))**2 - sqrt(60)\/(sqrt(243)*1).\nAnswer: 115*sqrt(5)\/9 + 503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4364 in -2\/3, -4\/7, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n + 20*n - 2*n)*(-1 + 0 + 2)*(2*n + 2*n - 7*n) to r*n**2 + y*n + m and give r.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 - 0.7. Let m = 5 + 13. Let f = m - 17. Which is the nearest to f? (a) 1\/7 (b) l (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/14 - (-15)\/(735\/14). Let k(a) = -3*a**3 + 9*a**2 + 2*a - 2. Let n be k(c). Calculate the highest common factor of n and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000032535 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(-2 + 4 - 4)*(259*h - 611*h - 298*h) to g*h + o and give g.\nAnswer: -2600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3080, 6, -24.\nAnswer: -3080, -24, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21312 - -22211243?\nAnswer: 22134431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 24103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -7*k**4\/12 + 4*k. Let i(c) = -3*c. Calculate w(i(u)).\nAnswer: -63*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)*-2)\/sqrt(3) + 4 + sqrt(52) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5102945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 17*y**2 + 31*y + 14. Let d be k(-15). Let r be (d - (-130)\/(-14))*4984\/(-534). Calculate the highest common factor of 144 and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o - 44*o + 76*o - 1 = 0, 0 = -5*l + 3*o - 107 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, p: 1, b: 5, n: 9, z: 1}. What is prob of picking 1 b, 2 n, and 1 h?\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42\/47? (a) 2\/3 (b) 69 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1560 + 1579. Solve c + 0 = -2*k + 4, -k - l = -3*c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2338*w**2 - 1.\nAnswer: -2338*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 2 - 2) + (-7 - -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 68.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 4*v + 128, h = 281378*v - 281380*v - 61 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 225\/21 - 13\/(91\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 19, -2\/5, 112, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.565044 to 2 decimal places.\nAnswer: -4.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1340 is divided by 667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 165 = -5*s - 4*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17788248 + 17788248 + 3*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from gbibpbbibibccrc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4451004?\nAnswer: 2, 3, 41213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4\/5, -4, -0.83 in increasing order.\nAnswer: -4, -0.83, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5205, -13766, -25667, -40908, -59489?\nAnswer: -81410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 8*g - 45. Let j be 7*-4*g\/8. Is j > -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**8\/1344 - j**7\/210 + j**6\/160 + 3*j**5\/40 + 7*j**2 + 26. Let o(y) be the second derivative of g(y). Factor o(d).\nAnswer: -d**2*(d - 2)*(d + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*t**2 + 28*t**2 + 42*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -143 * 0.6\nAnswer: -85.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40516 is divided by 113.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152 + -215. Let j = -57.4 - f. Let y = 6 - j. What is the third smallest value in y, 0.2, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53262 and 23672.\nAnswer: 213048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 + 5*k**2 + 118*k - 661. Give y(9).\nAnswer: -652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 - 318. Let r = -192 - q. Solve 13*s - 6*s = r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 41bbc (base 14) to base 7\nAnswer: 1230525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*j**2 + 574*j**3 - 1 + 1 + 9*j**4 - 577*j**3 wrt j?\nAnswer: 216*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 42. What is w(-30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -34215, -27213, -20211, -13209, -6207, 795?\n\"Answer: 7002*h - 41217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7883009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 150 - 153. Put 0, -2, o, 36 in decreasing order.\nAnswer: 36, 0, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26901, 26894, 26887, 26880, 26873?\n\"Answer: -7*n + 26908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32209614 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssszszzssssszsszssz. Give prob of sequence sz.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4292066 is divided by 28805?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -116, -966, -27 in descending order.\nAnswer: -1, -27, -116, -966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2367340199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 180, 378, 656, 1014?\nAnswer: 1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -323454412 - 121?\nAnswer: -323454533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -38, -2.070731, 3?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 8:59 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/65 and -5 - ((-4)\/(-130))\/((-4)\/602).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 35 = -c, 6*t - 8 = 4*t - 4*c. Let k be t*-2*2\/(-4). Let q = -5 - k. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 10 = 11*t. Sort 5, 3, t in increasing order.\nAnswer: t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 356*r**2 - 109*r - 633. What are the prime factors of n(-7)?\nAnswer: 2, 3, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/756 and 29\/2268?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20156 - 41869\/2. Let j = i - -3831\/5. Find the common denominator of j and (2 - 0) + (-9)\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h + 1029. Let s(u) = 12*u**2. Calculate f(s(w)).\nAnswer: 24*w**2 + 1029","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 793*r = 814*r + 210 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s. Let d(o) = 13*o**2 + o + 784. Calculate d(k(i)).\nAnswer: 117*i**2 + 3*i + 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 273692 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-350)\/550*(-2768)\/1211?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1369*w - 1383*w = 336 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 9 = 2*h - 5*h, w = -2*h - 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493008 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5375 <= -5367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 c when three letters picked without replacement from {c: 5, s: 2, t: 6}.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 24. Put 12, n, -3\/7 in descending order.\nAnswer: 12, n, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - ((16 - -6) + -47)) + -2 + 4 + 41?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 72*s - 9. Let v be u(-10). Let p = -454 - v. Suppose -5*d + 10*d - p = 0. Is d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-9\/2)*(l\/l**(-4\/5))\/l*(l\/(l**(-8)\/l))**(-4) assuming l is positive.\nAnswer: l**(-427\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 10936*d**2 + 43777*d - 72. Give p(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 o when four letters picked without replacement from {e: 3, o: 4, j: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6267, -12531, -18795, -25059, -31323?\nAnswer: -37587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 4. Sort 0, v, -3 in ascending order.\nAnswer: -3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7))**(-2\/51)\/(c*((c**2*c)\/c)\/c*c*(c*c*c**5*c)\/c)*(c**(1\/11)*c*(c\/(c\/c**(2\/3)))\/c*c)**(7\/3) assuming c is positive.\nAnswer: c**(-69364\/11781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/6760 and 16\/475.\nAnswer: 642200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16509 is divided by 7385.\nAnswer: 1739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 - 11*q - 4. Is x(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.105, 0.03, 0.3, -266, 1 in ascending order.\nAnswer: -266, 0.03, 0.105, 0.3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4660*r**4 + 3774 - 140300*r + 140300*r + 56*r**3 - 56*r**3 wrt r.\nAnswer: -18640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 x when three letters picked without replacement from xiieeixeixxi?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30 + 88b243?\nAnswer: 88b213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87532 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = 6*p - 60. What is the third derivative of p*d**4 - 11*d + 8*d**4 + 11*d - 84*d**2 wrt d?\nAnswer: 264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, i: 2, k: 5, c: 3, t: 2}. What is prob of picking 1 c, 1 t, and 1 i?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1434*f**4 + 2*f**3 - 1469*f + 3 wrt f?\nAnswer: -17208*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*z + 44*z + 107352 = 0. What are the prime factors of z?\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (1 - (3 - (-2 - -3)))) + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (27\/6 - 3\/6) + 1. Let t(a) = 17*a**2 + 14*a - 63. Let h be t(n). Calculate the highest common divisor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(612) + (-5*sqrt(1088))**2.\nAnswer: -12*sqrt(17) + 27200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 289477943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -434341 (base 8) to base 11\nAnswer: -9a464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2319271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-770)\/(-4011)) + 5 - (600\/66 - 9).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10*r + 32 = 0. Differentiate -24387 + 144*z + 24208 - 47*z - 2*z**r with respect to z.\nAnswer: -8*z**3 + 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + l + 0*l + 6*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1575.\nAnswer: -1\/1575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a microsecond in nanoseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -35, -78, -139?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 138*g + 767020 - 767020 in the form a + r*g and give r.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 2\/3*a**3 + 0 + 3\/2*a**2 + 17*a. What is the derivative of t(q) wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 1. Let n = 17 + -23. Let h be b(n). Solve h*w + 0 = -20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -87*x + 353. Let o be g(4). Solve 5*a + 4*b + 1 - 33 = 0, 0 = -o*a - 2*b + 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 1:21 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - (-2 - -5)) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-2)*(-21)\/28 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/7 - 2\/(-7). Let b be 12\/24 + (-2)\/(-4). Solve l = 4*h - b + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c5 + baa4?\nAnswer: bb99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 45961, -4 in descending order.\nAnswer: 45961, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x - 10. Let t be n(-5). Let g(o) be the second derivative of -1\/9*o**4 + t + 1\/3*o**2 + 2*o - 1\/9*o**3. Factor g(a).\nAnswer: -2*(a + 1)*(2*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -367 (b) -19 (c) -1\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4670 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 280, 1817, 5784, 13333, 25616, 43785?\n\"Answer: 192*t**3 + 63*t**2 + 4*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 494725\/24 + -20619. What is the common denominator of c and (2\/(-54) - 0)*14?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1*sqrt(2448) + 0 - (sqrt(2448) + sqrt(2448) + 2 + sqrt(2448) + 1)) + (sqrt(2448) + -1)*-2 + -2*(sqrt(2448) + 1))**2.\nAnswer: 432*sqrt(17) + 88134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**5\/60 - n**4\/6 + 2*n**3\/3 + 2*n**2. Let r be (-2)\/(-3 - 5\/(-2)). Calculate a(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 10*k**2 - 20*k + 40.\nAnswer: 5*(k - 2)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**4 - 5*t**4 + 1 + t**2 + 0*t**2 - 5134*t + 5135*t in the form u*t**2 + o*t**4 + n*t**3 + x + y*t and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(880)*5 + sqrt(880)))\/(-2*sqrt(99) + sqrt(1331) + sqrt(1331) + -1*sqrt(1331) + sqrt(1331) + sqrt(1331) + sqrt(1331)))**2 + 3.\nAnswer: 1803\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496114 less than or equal to 2496115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eleven sevenths of a week?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*t + 28*t + 21 = -38*t. Which is the closest to -5? (a) -91 (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145 by 6.\nAnswer: -145\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 28485318.8 to the nearest 100000.\nAnswer: 28500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.129 - -0.659. Let d = h - -4.47. Sort d, 9\/4, 4.\nAnswer: 9\/4, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 55 = -5*g. Calculate the remainder when 217 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2955? (a) -2\/9 (b) 0.04 (c) 3 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 15. Suppose 4 = q + 3*b, p*q + 1 = 3*b + 2. Let u = q - -3. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5853, 11717, 17575, 23427, 29273?\n\"Answer: -3*h**2 + 5873*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 69*l = 65*l + 5840, 3*m = -3*l - 4362. Which is bigger: 0.12 or m?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 159 = -3*k - 1467, -536 = j - 5*k. Round j to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - 3*b - b)*(-6 + 3 + 4)*(2401*b - 378*b + 964*b).\nAnswer: 5974*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 60019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (0 + -4)\/(-4)*7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -45*l**2 + 2177*l + 1 + l**3 + 0 + 4 - 2133*l. Let i be f(44). Sort -3, 6, i, -1 in descending order.\nAnswer: 6, i, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1731260500 rounded to the nearest 1000000?\nAnswer: -1731000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 827858 (b) 0.3 (c) -5 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 - 3*q**2 - 6*q - 8. Let y be x(6). Let a = y - 275. Calculate the lowest common multiple of 46 and a.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 at most as big as -512.1003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 291186490 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 13*r**2 + 4*r. Let p(z) = -2*z**2 - z. Give c(t) + 5*p(t).\nAnswer: 3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 55*-1*3\/(-3). Suppose 2*x + 169 - q = 0. Is 2\/1*x\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8939 and 70?\nAnswer: 89390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 291*b*r**2 - 1466*r**2 wrt b.\nAnswer: 291*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 - (-240)\/35)\/(-4 - -3). Solve 0 + k*l**3 - 2\/7*l + 1\/7*l**2 = 0 for l.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -257 - -255. Suppose 2*c + 26 = -2*d + 6*d, 4 = d. Is r at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736730569?\nAnswer: 37, 1601, 12437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 21. Sort q, 5, -5 in decreasing order.\nAnswer: 5, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13326, -53317, -119984, -213339, -333394, -480161, -653652?\nAnswer: -853879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + 4 + 141\/(-12))\/(2\/(-16)). Solve -18*l - q*l = 120 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -18 + -6 - (-8 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17733 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -4.97. Let b = -4.06 - -7.09. Let n = b - c. What is the third biggest value in -0.5, 0.1, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) -113 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.1, 24485 in decreasing order.\nAnswer: 24485, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 19 + 14*j**3 - 3*j**3.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-135)*5 + 64\/(-72).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11125159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 55. What is the third derivative of 0*l**4 - 1 + 6*l**2 + h*l**4 + 1 wrt l?\nAnswer: 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 109, -4, 3\/4, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z + 3*z)*(67*z - 133*z + 59*z)*(-3 + 2 + 3).\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**47)\/y)\/(y\/(y*y\/(y\/y**25)))*y**(-35)*y\/(y\/y**2) assuming y is positive.\nAnswer: y**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (378\/(-28))\/(-3)*4\/6. What is the third derivative of 83*h**3 + 134*h**2 - 254*h**3 - 81*h**n wrt h?\nAnswer: -1512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 852 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j - 10*j - 71. Suppose 0 = 3*l + j - 191. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllmlllmllllllm. What is prob of picking 2 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 245 and 127505.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3370*c + 699294 = 7723*c - 10658 for c.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1473095546 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 1 - (-9 + (-3 - -7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 1:10 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(459))\/(sqrt(825)\/sqrt(11)) - (-5 + -1*(sqrt(17) + sqrt(17) + 2 + sqrt(17)) + 4 + sqrt(68))**2.\nAnswer: -36*sqrt(17)\/5 - 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - -23 - (8 + -1 + 4 + -1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*o - 49*o - 77 + 92*o - 384*o.\nAnswer: -427*o - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -5, -19, 3 in descending order.\nAnswer: 27, 3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 4) to base 6.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1223\/7 + 175. Which is the third biggest value? (a) -4 (b) -1 (c) 7 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13741 is divided by 1524?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(2299) + 0 + -1)*-1)*-6 - (-1*sqrt(2299)*1 + sqrt(2299)*-1*3 - (sqrt(2299)*-2 + 2 - (-1*sqrt(2299) - sqrt(2299))*5)))**2.\nAnswer: -6336*sqrt(19) + 745132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 2*a - 5. Let h(p) = -p**2 - 3*p + 6. Give 2*h(z) + 3*m(z).\nAnswer: 3*z**3 - 2*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.765419 centimeters to millimeters.\nAnswer: 37.65419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**2 - 173403*h - 867090 = 0.\nAnswer: -5, 57806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21861 is divided by 88.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 4*a**2 - 3*a**2 - 13 - 2*a**2 to the form x*a + w + m*a**2 and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -322, -1089, -2522, -4825, -8202?\nAnswer: -12857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = l - 10, 4*l - 5*l - 5*j = 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -12. Let p = j - 19. Let l = -3.011 - p. Round l to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 82373\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 557*h - 16 - 12 - 11.\nAnswer: -557*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1414, 5528, 12410, 22060?\n\"Answer: 1384*i**2 - 38*i + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1354104 - 7713145 = 3*i + 624959. Round i to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 150831 or 150853?\nAnswer: 150831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246391015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*q**2 + 56840*q - 56840*q.\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 6 (c) 0.1 (d) -0.65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65c (base 13) to base 9.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9711560*r**3 - 1541*r**2 - 1437*r.\nAnswer: -58269360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven tenths of a minute?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*4928.606.\nAnswer: -59143.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -37*r + 5. Let k(y) = 19*y - 4. Let z(t) = -6*h(t) - 11*k(t). Let s be z(0). Solve 4*l + 4*j + 12 + 12 = 0, 0 = -l + 3*j + s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**14*a)**(2\/51))**(-33\/7) assuming a is positive.\nAnswer: a**(242\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 215 - -2. Let v = 320 - j. Suppose 6*q = v + 527. Is q a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -5, 22, 37, 28?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 685315050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (3 - 2) + 7 + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 160*k - 155*k + 34, -3*k + 24 = -5*m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-30)\/9)\/((-24)\/20) and -61\/25.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p = 11*p. Suppose -o + 698 = y, 3*o - 4*y - 1639 - 441 = p. What are the prime factors of o?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1\/2, -1, 80.51, 361?\nAnswer: 80.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 7*s - 7. Let g be f(6). Suppose x - 68 = -11. Let v = x - 55. Which is smaller: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24753277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*3\/(-3) - 2. Let g = -0.105 + -1.895. Which is the closest to 0.1? (a) -1 (b) g (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23a + 108?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a + 31. Let y be m(-9). Suppose 400 = -y*s + 148. Is -63 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 517558, 1035110, 1552656, 2070196, 2587730, 3105258, 3622780?\n\"Answer: -3*b**2 + 517561*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m + 3*m - 6*m + 108*m**2 + 140*m**2 + (m - 4 + 4)*(3*m + 0*m - 2*m) - 2*m**2 + 9*m**2 - 2*m**2.\nAnswer: 254*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-4)\/4 + 8. Put 0, p, -17 in descending order.\nAnswer: p, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.2. Suppose 4 = y - 1. Suppose 0 = -b + y*b - 20. What is the closest to 0 in b, k, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 12*j - 15. Let q(w) = w + 17. Let v be q(-7). Let x be m(v). What is the third derivative of -p**5 + p**5 + x*p**2 - 5*p**5 wrt p?\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = a - 5*u + 35, 0 = 4*a + 3*u - 29. Let c = a - 4. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w\/(w\/(w\/w**7)))**(-28) assuming w is positive.\nAnswer: w**196","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 4 (c) -0.047\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3288 + 3030 = 39*f. What is the highest common divisor of 729 and f?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 3*j - 11, 6*j = -u - 3*u - 38 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 - -83. Let j = 0 - 2. What is the smallest value in j, -6, h?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 754954803?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 62\/8 + 1\/4. Let u be 11\/4 - (-2)\/j. Find the third derivative of 2*a**5 + 4*a**3 + 2*a**2 + 0*a**3 - 4*a**u wrt a.\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 + 87. Let d be u\/306 - (-13258)\/17. Suppose -5*c = 5*c - d. What are the prime factors of c?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 + 59 - 1508*v + 1508*v in the form c*v + t*v**2 + f*v**3 + x and give x.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11205 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42987144*f**4 - 17832971*f - 2?\nAnswer: -515845728*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 - h + 4. Suppose 0 = -2*r + 4*i + 210, -82 = -r - i + 14. What is the remainder when r is divided by o(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f - 18*f = 5*r, 0 = -3*f - 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 176 - 171. Factor 0*x**5 + 5*x**4 + 8*x**3 + q*x - 18*x**3 - 10*x**2 + 7*x**5 - 2*x**5 + 5.\nAnswer: 5*(x - 1)**2*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 380.\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1534\/71 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -31*a + 5. Let c(v) = -6*v + 1. Let t(y) = -11*c(y) + 2*z(y). Let r(n) = -11*n + 3. What is -3*r(d) - 8*t(d)?\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8e84 (base 15) to base 10\nAnswer: 30274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*c - 153*c - 15075 = 102*c + 6*c for c.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40767033117 - 2.3.\nAnswer: 40767033114.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*f + 1 + 44*f - 71*f.\nAnswer: -83*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*r - 314128 + 315118 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 1 + (-17 - ((9 - -3) + -71 + 28))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26 or 0.024?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*m = 206*m - 16544. Calculate the remainder when m is divided by 45.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 4. Let c be f(0). Let y = 4 - c. Let s(a) = -a**2 + 13. Give s(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*i + 11 = -4*o + 107*i, 2*i = -4*o - 26 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(-3 + -1 + sqrt(1300)).\nAnswer: -16 + 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 1 + 3*j**2 + 3*j**2 + j**3 + 4*j - 3*j**2. Suppose -8*a + 54 - 78 = 0. Give s(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 3*t - 2 + 1. Give z(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 5*h + 2*t, -23*t + 19*t = 12. Let x be 11 + h\/(35\/30)*1. Solve 0*i + 5 = i - 5*l, -x*i = -4*l - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117, 235, 353, 471?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1420 and 54528.\nAnswer: 272640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000011100011100101001 (base 2) in base 16?\nAnswer: -a1c729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 0 + 1\/3*o**4 - 5\/6*o**3 + 0*o - 3*o**2 - 1\/15*o**5 - 1\/120*o**6. List the prime factors of d(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3803371901?\nAnswer: 7, 269, 2019847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 5)*(-6*u - 7*u + 5*u) + 2*u - 3*u + 3*u + (0*u + 3*u + 0*u)*(-1 + 0 + 0) - 80*u + 175*u - 767*u.\nAnswer: -665*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 8*g + v - 4, v = -5*g + 6. Let t be 2 + 12\/(g - 8). Solve w + 4 + t = -4*l, 3*l = -5*w - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a centimeter in micrometers?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + c = -3*c - 32, 48 = 3*i - 5*c. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 131, 197, 203, 161, 83, -19?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45910 and 18364?\nAnswer: 91820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1150793830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6415434 (base 7) to base 8.\nAnswer: 2756363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2448) + 1 + sqrt(2448))**2 + 4.\nAnswer: 48*sqrt(17) + 9795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 > 151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -8 - -6) + (3 - 7) + (13 - 9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5*u)**25\/(u\/(u\/(u*((u*u*(u**(-1\/5)\/u)\/u)\/u)\/u)*u))**(-34) assuming u is positive.\nAnswer: u**(376\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4176 and 531.\nAnswer: 246384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**1*c)\/c)\/c**(-3)*((c*c\/(c\/c**(2\/3)*c))\/c)**(2\/47))\/(((c*c**(-2\/7))\/c)**(-2\/5))**(-1\/12) assuming c is positive.\nAnswer: c**(19717\/4935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**5 - 2*t**2 - 7. What is the second derivative of y(j) wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/7))\/(b**(2\/7)\/b))\/(b**(2\/17)\/b*b\/b**(-1))*b**(-2\/5)\/b**(-2\/5)*b**2*(b\/b**0)\/b assuming b is positive.\nAnswer: b**(326\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -4. Suppose u = 4*o - 8. Suppose -o*r = -6 - 54. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.16 + -1.56. Let x = h - 30.2. What is x rounded to 0 decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6802*f + 50982 = 6210*f + 166288 + 821558 for f.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 27749, 55499, 83249?\n\"Answer: 27750*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/11 and 123\/616.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 693914575 to the nearest integer?\nAnswer: 26342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 437347\/455 or 962?\nAnswer: 962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 0.8, 0.5, 3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*c - 3, 0*c = 4*c. Suppose 5*k + m - 50 = 0, 4 = m - o. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41779, 44133, 46487, 48841?\nAnswer: 51195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.7 - 10. Let x = 6.7 - t. Which is the nearest to -0.1? (a) x (b) 4\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 576 and 5544?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(5)*1*3) + -1)*1.\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45060 times 0.4?\nAnswer: 18024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.2, 1\/203, -1.1 in ascending order.\nAnswer: -1.1, -1\/2, -0.2, 1\/203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p\/((p\/(p**0\/p))\/p*p))\/p*p**(-5))**(-2) assuming p is positive.\nAnswer: p**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46730076 and 470832.\nAnswer: 186920304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 3 - 9\/2*p**2 - p. Suppose 31*d - 26*d + 20 = 0, -2*n + 2*d + 6 = 0. Calculate y(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 + 188 = 22*o - 17. What is the smallest common multiple of o and 2016?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 4. Let i(w) = 35*w + 10113. Let b be i(-289). Sort -215, r, b in descending order.\nAnswer: r, b, -215","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5789 in 3, 2\/5, -9\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000373161 rounded to seven dps?\nAnswer: 0.0000373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 8595 = 2*r, -5*r + 15*x - 4*x - 21605 = 0. Is -4311 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 228\/(-32)*4\/(-6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 6*p**2 + 6*p + 5. Let m be w(-5). Let h be ((-6)\/(-15))\/((-16)\/(-110)). Factor h*i**3 - 1\/2*i**2 + m + 7\/4*i**5 + 0*i - 4*i**4.\nAnswer: i**2*(i - 1)**2*(7*i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 - -3380.7.\nAnswer: 3379.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-9) - ((-582)\/18 - 1). Let p = k + 199. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -169\/3 + 56. What is the common denominator of i and 71\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2 + 6. Suppose -2*z = -0*z - b. Sort z, -2, 3.\nAnswer: -2, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3136.993 meters in nanometers?\nAnswer: 3136993000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -216*a**2 + 29*a - 428. Let b be z(16). What is b rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1310 - -2682. Does 28 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 q when four letters picked without replacement from qnnqnqqqqddqnddqd?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05 - 13.05. Let g = 0 + u. Let v = -9 - g. Which is the third biggest value? (a) -5 (b) 0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 - (11 - (9 - 0 - -83))) + 7\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39.2 + 6.8. Let d = b - 45.5. Sort -2, d, 2 in decreasing order.\nAnswer: 2, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 23 = 4*b, v + 0*v = -2*b + 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43 - 50 + 21)*(-9*v + 1 + 1 + 0) to u*v + c and give u.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*w + 15, -5*n + 31 = w + 2*w. Suppose -2*x - r = -16181, -19600 = 4*x + n*r - 51965. Suppose 17*d = 19*d - x. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 2:42 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g + 48 = 0. Suppose -g = -3*o + 2. Solve 2*l = 3*k - 5, -6*l = -2*k - 4*l + o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5937 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + k - 1. Let i(w) = -2*w**3 - 3*w**2 + 11*w - 26. Let c(d) = i(d) - m(d). What is the tens digit of c(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2*p + 382 = 378, 0 = -2*b + 8*p - 20 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1459*k**3 - 3 + 4270*k**3 - 1562*k**3 + 3 - 1415*k**3.\nAnswer: -166*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441334 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3*x - 3 + (3 + 0 - 1)*(-3*x - 2*x + 4*x) + (1 + 3 - 3)*(-32 - 6*x + 32).\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36936917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 5:04 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*(12\/30 - 192866\/(-60)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**4 - 2*r**2 + 234*r - 238*r + 25*r**4 wrt r?\nAnswer: 648*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 6*u - 16. Let x be p(8). Differentiate x - f - 9 + 0*f + 6 with respect to f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 k, and 2 i when four letters picked without replacement from {c: 1, k: 1, j: 3, l: 1, i: 8, g: 2}.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -455 or -457?\nAnswer: -457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 0.01 (c) 5 (d) -7\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.491 - -0.997.\nAnswer: -20.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h**2. Let z(n) = 39*n**2 - 50*n + 2. Determine z(j(s)).\nAnswer: 1911*s**4 + 350*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 306264223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-4))\/(v**0\/v))**(-11)\/(v\/(v\/(v\/v**(-6)))*(v*v**(-5\/2)\/v)\/v*v)**46 assuming v is positive.\nAnswer: v**(-273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5)*0\/21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 3*s**2 + 5*s**2)*(-2*s**2 + 0*s + 0*s) - 5*s**3 - s**4 + 5*s**3 - 2*s**4 - 2*s**4 + 0*s**4.\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 5, 2236\/3.\nAnswer: -0.1, 5, 2236\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100011323 - -1?\nAnswer: 100011330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 24*k**3 + 3*k**2 + 3*k + 3. Let d(y) = -49*y**3 - 8*y**2 - 6*y - 7. What is 3*d(z) + 7*l(z)?\nAnswer: 21*z**3 - 3*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 9*q + 248. Let g = 22 + q. Are -10 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -4, -2 in ascending order.\nAnswer: -39, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 671207526 divided by -1646?\nAnswer: -407781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(1377) - sqrt(1377)) + 4 + sqrt(1377) + sqrt(34)\/(sqrt(144)\/sqrt(8)) + 0)*-5)**2.\nAnswer: -26800*sqrt(17)\/3 + 7634900\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 2*n**2 + 2*n + 4. Determine q(-6).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4962790.99983 + -4962757. Let q = -0.043 + -33.957. Let n = q + h. Round n to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -757*d**6\/120 - 19*d**5\/60 + 161*d**3\/6 + 114*d**2 + 9*d. Find the third derivative of a(r) wrt r.\nAnswer: -4542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12687002157 less than -2?\nAnswer: -12687002159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*i + 1278 - 847 - 65*i + (-2 - 1 + 4)*(i - 2*i - i).\nAnswer: -6*i + 431","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1\/4, 3\/8, 0.5, 16, 22?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 - 2*a - 4. Let b(t) = 301*t**2 + 12*t + 23. Give -b(j) - 5*u(j).\nAnswer: -316*j**2 - 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**3*y**5 - 423*f**3 - 2*f**2*y**2 - 133*f*y**5 + f*y**2 wrt y?\nAnswer: -120*f**3*y**2 - 7980*f*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yaaa when four letters picked without replacement from ygbggayygayagyya.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3\/((z*z**(-1\/3)\/z*z)\/z))\/(z**(-2)*z)**47*((z*z*z*z*z**0)**(5\/2))**(1\/9) assuming z is positive.\nAnswer: z**(463\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*s**4\/2 - 872855*s**3\/6 - 168781*s**2\/3 + 776*s = 0 for s.\nAnswer: -2\/5, 0, 1\/75, 2328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 13*k - 83. What is the units digit of u(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 54?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7*g**1)\/((g**1\/g)\/(g\/(g**0\/g))) assuming g is positive.\nAnswer: g**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -78, -319, -724, -1299, -2050, -2983, -4104?\n\"Answer: -b**3 - 76*b**2 - 6*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.66 + -5. Let p = 0.446 + z. What is p rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106283?\nAnswer: 3, 499, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -20*(36\/(-8))\/(-3). Let a be 5\/s + (-201)\/(-18). Suppose 3 = 4*g + a. Let r(h) = h + 2. Determine r(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -7 + (-12)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15258453 to the nearest integer?\nAnswer: 3906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 84*i + 15425. Determine x(-187).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - -2.7. Let j = 9 - 28\/3. Which is the nearest to j? (a) i (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from fhkrb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -41775, -85479, -129183, -172887?\n\"Answer: -43704*c + 1929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 d when three letters picked without replacement from dmdvmdamvmvjdamd.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = -s + 383. Suppose -17*z + s = -16*z. What is the smallest common multiple of z and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + 2*sqrt(80))**2 + (-1 + sqrt(405) + 1 + sqrt(405) - (sqrt(405) - (sqrt(405) + 0)*5))**2 + 1.\nAnswer: 16*sqrt(5) + 14904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -541 divided by -1\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*m - 22*m + 2*m**2 - 2 + 40*m - 23*m**4 in the form i*m**2 + f + v*m + l*m**3 + w*m**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -124484\/19 and -6553 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 times 1226179?\nAnswer: -55178055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 9121 = -4*q, -4*v + 3*q - 9359 - 2744 = 0. Which is the biggest value? (a) -3 (b) v (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = l + 36, -l - l - 69 = -5*k. Let q = 78 + l. Differentiate 16 + q + 24*s**3 - 4*s**3 - 32 with respect to s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1554.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27\/440 - -1123\/3960. Let p = 6.2 - 7. Let o = -0.2 + -0.3. Sort o, p, v.\nAnswer: p, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**4 - q**2 + 1. Let u(p) = -4*p**5 + 5*p**4 + 2*p**2 - 10. Let h(s) = u(s) + 3*w(s). What is the third derivative of h(f) wrt f?\nAnswer: -240*f**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13431814?\nAnswer: 2, 11, 29, 37, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 22224*c = -22223*c + 17, -2*o = -44*c + 8 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z - 82. Let d(i) = -5*i + 81. Give 3*d(c) + 4*q(c).\nAnswer: -3*c - 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgg when three letters picked without replacement from mgjrigjggjrmmirj.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(576)*1 + sqrt(576))*-2)\/((sqrt(108) + (sqrt(108) + -1*sqrt(108)*6 + sqrt(108) - sqrt(108)))*6) + 0.\nAnswer: 8*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25494284 to the power of 1\/3, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.3 (b) -4 (c) 1\/31 (d) -0.2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-4 + -12 - -18).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1002 and 2.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 l, and 2 w when four letters picked without replacement from {j: 4, l: 1, w: 1, p: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/260*3)\/((-12)\/16)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -1 + 3*z**2 + 3*z**2 - 1 + 2*z - 4*z**2. Let o be n(-2). Is o at least 9\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhgh when four letters picked without replacement from {g: 1, k: 1, h: 11}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*w + 154 = 748, -4*w + 8 = 0. Let v be -5*(3\/5 - (-2344)\/(-20)). Suppose 10*n - d = v. What are the prime factors of n?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -857 in 15.7, 4\/15, 1\/3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/24)\/((-108)\/288)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3594363 (base 10) in base 7?\nAnswer: 42360123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9\/10 + -3\/5. Which is the third biggest value? (a) 4 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -131, -207, -289, -377, -471?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 58?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-42 - (21 + -32 + 20 + -3)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**2 - 62456*m - 499904 = 0. What is m?\nAnswer: -8, 15622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 16*z - j + 6 = 0, -z - 3*j + 6 = 0. Let b be z*(-6)\/441*(-7)\/2. Determine h so that -b*h**2 + 2\/7 + 0*h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1100) + 1) + (-1 + sqrt(1100) - sqrt(1100))*-6)**2 - 5*((sqrt(1100) + -3 + sqrt(1100) + sqrt(1100) + sqrt(1100))*2)**2.\nAnswer: -347716 + 5120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 + -66. Let m(s) = -10*s**2 + 1. Let y(c) = -2*c**2. Let d(n) = h*m(n) + 6*y(n). Let q be d(5). Calculate the greatest common divisor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.3 and -3044719.\nAnswer: 13092291.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, -180, -807, -2032, -4053, -7068, -11275?\nAnswer: -16872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -16. Suppose v + m + r = 4*m, 0 = 2*m - 8. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -374 - -398. Suppose -b = -6*b + 150. What is the smallest common multiple of w and b?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*u + 45*u + 5*u**2 - 25*u - 16*u - 10*u in the form c*u + b + q*u**2 and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, 9, 25, 47, 75, 109?\n\"Answer: 3*j**2 + j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.1 + -27. Let t = 1 - h. Let n = -5 + 4.9. Are n and t non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**7\/1260 + 7*w**4\/12 - 2*w. Let h(p) be the third derivative of f(p). Let a(q) = 4*q**2. Give a(h(o)).\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 5713 and 21294252.\nAnswer: 21299965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2. Let z be -12*(-5 + (-38)\/(-8)). Let h(s) = -s + z - 3 - 4 - 2. Calculate h(u(f)).\nAnswer: -f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 153052 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735 is divided by 180?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -637141106 and 61.\nAnswer: -637141045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 8*r**2 - 13*r + 9. Suppose -45*s + 31659 = 32064. Give f(s).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 11*m**2 + 10*m - 25. Calculate q(-10).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760682.\nAnswer: 2, 13, 17, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25286 by -2.\nAnswer: 12643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2063, -2055, -2047, -2039, -2031?\n\"Answer: 8*g - 2071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 10:13 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 577, 5, 4, -0.5, -302, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g = 7*g + 68. List the prime factors of (-10)\/g - (-11700)\/26.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4574.5 + 4575. What is the second smallest value in 1, -1\/2, r, -3, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309568659?\nAnswer: 3, 103189553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8\/(-14))\/((-1)\/7)*13?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/25403 and -113\/114.\nAnswer: 152418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 14*l - 912. Calculate the greatest common divisor of l and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/169 in -14\/5, -1\/4, -3, 1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-40)*((-57)\/(-9) + -1 + -4). What is the nearest to -1\/35 in 4, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2 (b) 2103\/2063 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 46517.\nAnswer: 418653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (-3 + 3 - 15). Calculate the common denominator of (-15)\/(-35) + w\/7 and -23\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 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: Evaluate ((-33)\/33)\/((50\/(-78))\/(-25)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/117, 0.01, 4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -41*u - 3*u - u. Solve 0 = d - 2*z - 9, 0 = 19*d - 22*d - u*z + 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2910000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -6.6056.\nAnswer: 6.6056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 43 + 23. Let a = m + 37. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -405, -407, -409, -411, -413?\n\"Answer: -2*j - 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 33 + -9 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -0.7 (c) 3 (d) 2 (e) -76\/15 (f) 4\/13 (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/10*(265\/(-212))\/((-5)\/(-8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k = 0. Suppose k = w - 2*w. Suppose w*n = n - 18. Calculate the lowest common multiple of n and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6474 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 112943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 22982840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 501629\/7 + (-22)\/77 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 5:52 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 6*q - 40. Let g be 310\/q + (-3)\/4. Let b = g + -25. What is the highest common divisor of b and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17263656 (base 8) to base 14\nAnswer: -76a7b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 2*o - 3161980*o**3 + 7 - 2*o.\nAnswer: -3161980*o**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**2 - j - 7. Let l(v) = 4*v**2 + v + 6. Let m(z) = 117*z**2 + 1. Let a be m(-1). Let s = 123 - a. What is s*p(w) + 6*l(w)?\nAnswer: -w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - ca456a?\nAnswer: -ca4565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 156 + -1734\/11. Let g(y) = y**3 - 13*y**2 - 2*y - 5. Let a be g(13). Let c = a + 30. Is c greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**4\/4 - d**3 + d**2\/2 - 3*d - 3. Let f be c(-4). Suppose -2*i + f = i - 2*t, i - 14 = -3*t. Solve -i*w = 18 + 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -3\/2 (b) 1\/8 (c) 664\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3700\/371 greater than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 5*w)*(-3*w + 4*w - 2*w + (1 + 1 - 3)*(5*w - 4*w + w) - 4 + 4 - w + 18062 + 152*w - 18062).\nAnswer: 740*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -1300*r**3\/3 - 261*r**2 + 1014. Find the second derivative of g(y) wrt y.\nAnswer: -2600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2028, 4037, 6046?\n\"Answer: 2009*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351647 divided by -12.\nAnswer: -351647\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13159 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 2. What is h(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -58*w + 45*w. Let d be 0 - (w\/(-54))\/(38\/(-152)). Let g = -1 - 0. Which is the nearest to d? (a) g (b) -2\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 28. Let o(q) = -q - 12. Let t be o(m). Suppose 4*v + 5*u = 6*u + 1274, 6 = t*u. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156215555 divided by 31243111\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 - 15*w + 14. Calculate i(-8).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 2 - (27 - 32).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54057483?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(931) + 1 + sqrt(931)))**2 - sqrt(931))*-5 + 2*sqrt(114)\/((sqrt(36) + (sqrt(36) - sqrt(72)\/sqrt(2)))\/sqrt(6)).\nAnswer: -298000 - 2203*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031360563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-42) + (-62390)\/(-9282) - 7*1\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6713 + 6712.83. Which is greater: s or 18\/13?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (81 + -90)\/(9\/(-2)). Suppose 0 = h - 4*h - g + 26, -5*g + q = -h. Calculate the highest common factor of 62 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 450 + -185. What is the remainder when 810 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -2\/5, 13982 in decreasing order.\nAnswer: 13982, -2\/9, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*z = -86*z - 102*z + 180911. Calculate the remainder when 1386 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**5\/13 - 324*h**4\/13 + 934*h**3\/13 + 3228*h**2\/13 - 7632*h\/13 = 0.\nAnswer: -3, 0, 2, 4, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11129, -21873, -32617?\nAnswer: -43361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145 and 18995.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 761 - 760.9. Suppose -6*b = -16*b + 60. What is the second smallest value in -5, r, -0.5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 21 - 10)*(2*j - 4 + 4).\nAnswer: -42*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1042 + 10363\/10. Suppose -3*r - 3 = -15. Calculate the common denominator of (-7 - -15)\/8 - r\/(-11) and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 254376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 11*n**2 - 2*n + 1. Let l be c(-4). Suppose -x + l = 4*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(8)\/sqrt(4))*3 + (sqrt(32) + 1 + sqrt(32))*-4)**2 + -3.\nAnswer: 1102*sqrt(2) + 2040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381*b + 232*b + 3601260 = 241*b. Does 71 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 888 and 47.9.\nAnswer: 42535.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75887.\nAnswer: 7, 37, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/9*8580\/325*(-4446)\/(-1976)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**3 - 2*n**3 + 2*n - 4*n**3 + 2*n**4 + 292 - 18*n**2 - 593 + 300 as x*n**3 + t*n + s*n**4 + c*n**2 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 493251252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -28, 21119?\nAnswer: 21119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + (-3 + 12 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 2*o**2 + 2*o - 1. Suppose -j + 4*j - 9 = 0. Let b be w(j). Let m = 9 + b. Let v(s) = -2*s + 5. What is v(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -9. Let r = -20 + w. What is the third biggest value in r, 5, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t + 28. Let q be m(0). Let x(j) = 12*j**2 + j - 4. Let g be x(-2). What is the highest common divisor of g and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-110)\/(-38) - 528\/(-5016). Solve 2*c - 6 = -o, 7 = m*c - 5*o + 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5552 divided by 347\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2 + 76\/8. Let x be (-12)\/k*(-40)\/6. Does 15 divide 4\/x + 444\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9704.21t to grams.\nAnswer: 9704210000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -2*q + 18. Put 8, 0, 4, q in increasing order.\nAnswer: q, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 2*c - 7*c + 5*x, 2*x - 2 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 - 130. Solve k - a = -3*k - 2*r, 0 = 5*k - 3*r - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4 = 0, -2*o - 157 = 3*j - 171 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 23*h**2 + 16*h + 56. What is the units digit of o(23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -2\/3, 9\/5, 0.4, 2, 1 in ascending order.\nAnswer: -2\/3, 0.4, 1, 9\/5, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 982, 0.4, -8, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*i - 53*i + 2414 = -24*i - 2*i for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 460 = 7*q. Suppose -6*n - q = -11*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 330311905 and 385.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357245 and 4012.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/(sqrt(288)*4).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*k + 232202 = 0, -5*i - 32*k + 290235 = -37*k. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 65 = -0*z. Suppose 0*h - 4 = -h. Let b = z - h. Solve -u = -2*w + 4*u + 23, 3*w - b = -u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 12*q**2 + 10*q + 13. Let x be m(11). Let f = -1 + x. What are the prime factors of (f + 0)*(-6 + 18)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 17*t + 5. Let w(z) be the third derivative of -5*z**4\/2 - 3*z**3 + 26*z**2 + 2*z. Calculate 18*n(o) + 5*w(o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 9 + 44 - (510 + -513).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -7 in descending order.\nAnswer: 5, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 9*n**2 + 8*n. Let m be y(8). Suppose m = 4*w + w - 10. Factor 0*p + 0 - 2\/9*p**w.\nAnswer: -2*p**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71\/5204 + -1878407\/65050. Let b = 41\/25 + p. Let t = 27 + b. Is t at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17b - 423?\nAnswer: -5a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.9 from -469.991.\nAnswer: -468.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/1109?\nAnswer: 2\/1109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54479\/273 + 2580\/13. What is the common denominator of 49\/477 and k?\nAnswer: 3339","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jopjbbbbi. Give prob of sequence ij.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 180, 399, 940, 1965, 3636, 6115?\n\"Answer: 27*m**3 - m**2 + 33*m + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*p = 253*p + 36. Let x = 6.7 + -7. Let t = 0.1 + x. Which is the nearest to -0.06? (a) p (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7702073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12.4 or -55?\nAnswer: -12.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 21 = -6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b944 (base 12) to base 10.\nAnswer: -103300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/((-10)\/3) + -1. Find the third derivative of -42*d**4 - 5 + x*d**2 + 4*d**2 - 11*d**2 + 1 wrt d.\nAnswer: -1008*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 6*a - a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -37 (b) -0.08 (c) 3 (d) -4 (e) -2\/7 (f) 0.0637\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 12*w**2 - 3*w**2 - 7*w**2.\nAnswer: -22*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 262100 to the nearest one thousand.\nAnswer: 262000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 467674409, 467674412, 467674413, 467674412, 467674409, 467674404?\n\"Answer: -h**2 + 6*h + 467674404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*p**5 + 7*p**3 + 623*p**2.\nAnswer: 2220*p**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 - -158. What is the greatest common factor of 407 and a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54790, -54789, -54788, -54787, -54786, -54785?\nAnswer: -54784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 9175021000 to the nearest 1000000.\nAnswer: 9175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 24. Let y = 12 + -7.5. Let i = a - y. What is i rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(8\/2))\/(-4)*-1.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 + z**3 + 7*z**2 + 15*z**2 + 1 as l*z**2 + n + x*z + w*z**3 and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4499, -4532, -4583, -4652, -4739?\nAnswer: -4844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5355926599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 97 = 2*t. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2 - 7 - 21*y - 8*y - 2*y**2 - 24. What is the remainder when z(-11) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.84 + -6.94. Which is the closest to -0.3? (a) v (b) 0.3 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 6 = v - m, -2*v + 2*m + 16 = 0. Let n = 10 - v. Solve l + 2 - 1 = n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d + 5*q - 105 = 0, 3*d + 5*q + 1 = 28 - 31 + 39 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -92 + 92. Suppose -5*f = -31 - 9. Solve 3*z - 1 - f = s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -10*d + 429. Let p be h(31). What is the highest common factor of p and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 3\/4, -38.202, 1, -0.2, 4\/427?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 150571136 + 18660.\nAnswer: 150589796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (140*v - 176*v - 281*v + (-2*v + 2 - 2)*(-2 - 3 + 4) - 5*v + 3*v + 3*v)*(14*v**4 - 7*v**4 + 6*v**4).\nAnswer: -4082*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3 + sqrt(612) + 2 + 0 + sqrt(612) - (sqrt(612) - (-4 + 1*sqrt(612)) - (1*sqrt(612) + 1))))**2*-4.\nAnswer: -22068 + 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 10*g**3 - 2*g**2 + 3*g + 5. Let q(f) = 5*f**3 - f**2 + f + 2. Calculate -2*m(r) + 5*q(r).\nAnswer: 5*r**3 - r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(700)*2 + -1) + -1 + (sqrt(700) + -2*(sqrt(700) - 2*sqrt(700)))**2.\nAnswer: 20*sqrt(7) + 6298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*c = 495758 + 1198242. List the prime factors of c.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)*1*1)\/((sqrt(3) - sqrt(48))*3).\nAnswer: -sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -20. Let q(m) = -m**2 + 18*m + 46. Let k be q(a). What is the third derivative of 5*z**k - 3*z**4 + 3*z**4 - 29*z**2 + 11*z**2 wrt z?\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3862 + 364*n - 581 - 363*n + (-4 - n + 4)*(-6 + 2 + 2).\nAnswer: 3*n + 3281","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4 = 1. Suppose -4*m + 0*m - 48 = -2*l, -2*l + 52 = -5*m. Let b be 2 - 1 - l\/24. Which is bigger: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 21*d**2 - 165194*d - 330393. Give m(-2).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2 = 26. Suppose -2*v - i - 14 = -4*m, -5*m + 28 = -2*v. Let p be (51\/v)\/((-2)\/(-6)). Round p to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7894389 divided by -1?\nAnswer: 7894389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -20\/36179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o. Let t(q) = 706924*q**2. What is t(w(m))?\nAnswer: 706924*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 358 + -154. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) 1\/3 (b) 2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*z**3\/7 - 286*z**2\/7 + 282*z\/7 - 36\/7.\nAnswer: 2*(z - 6)*(z - 1)*(20*z - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2 - 2*p**3 - 3 + 4*p**3 + p**2 - 3*p. Let c(j) = 5*j**3 - 7*j**2 - 7*j - 7. Determine -14*b(k) + 6*c(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 12*s**2 - 18*s + 9. What are the prime factors of j(10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5881 is divided by 104.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 10. Let q be a(0). Let f = -1 + -5. Let l = q + f. Sort l, -2, -1 in ascending order.\nAnswer: -2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from jymje.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2765063789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 82 * -1\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(243) + sqrt(243))**2 - (4 + sqrt(243) + 1)) + -3*(-5*((-1 + sqrt(243))**2 + sqrt(243)) - sqrt(243)).\nAnswer: -297*sqrt(3) + 8520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffefzzzzzzf. Give prob of picking 1 z, 1 e, and 2 f.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-9 + (-572)\/(-66)) + (-238)\/105?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 + -39. Suppose -d = -8*m + m. Suppose -37743617 - 3256383 = m*y. Round y to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2*30 - -1. Let s = c - 28. Let o be ((-40)\/(-14))\/(s\/(-42)). Calculate the highest common divisor of 30 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 14*d - 3. Let w(s) = -14*s + 2. Let f(c) = -5*r(c) - 6*w(c). Is f(3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 170885 - 5229*o**2 - 170885 in the form l + r*o**2 + d*o and give r.\nAnswer: -5229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 182, 342, 504, 668, 834, 1002, 1172?\n\"Answer: y**2 + 157*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -102, -212, -312, -396, -458, -492, -492?\n\"Answer: t**3 - t**2 - 114*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 19980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 12:55 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 961259 plus -0.13174462?\nAnswer: 961258.86825538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.9 - -22. Let m = -28 - -19.3. Let a = m + 8.64. What is the closest to a in p, 4, -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 155*b**2 - 4672*b + 475. What is j(-114)?\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9379 + 37517\/4. Factor -1\/8*q**2 - 1\/8 - a*q.\nAnswer: -(q + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-8) - (-2)\/(-4). Let s(w) = -w - 3. Let n be s(-6). Factor 0*c**2 - 2\/7*c + 2\/7*c**n + y.\nAnswer: 2*c*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 17*f**2 - 10*f + 2. What is b(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*v - 206 = -5*v, 0 = 4*s - 4*v + 168. Let x = -39 - s. Let t(g) = -3*g**x - 18 + 8 - 9*g + g**2 + g**2. Give t(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -11*c - 2. Let v be i(-2). Suppose -u + 101 = -v. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 1:49 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 - (46 - 15) - 19 - (-1 + 10)?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -24*d**2 + 50*d - 9. Let a be p(2). Let h(s) = -2*s**2 - 8*s. Let w(j) = 2*j**2 + 7*j. Determine a*h(o) - 4*w(o).\nAnswer: 2*o**2 + 12*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/5 + 788*t\/5 + 1616.\nAnswer: -2*(t - 404)*(t + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 12. Let k = 25 - 30. What is d(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -235, -44, 487, 1526, 3241, 5800, 9371?\n\"Answer: 28*j**3 + 2*j**2 - 11*j - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + 4*h**2 + 8 - h**3 + 0*h**2 + h - 8 + 2*h**4 as s + w*h**3 + z*h**2 + p*h + q*h**4 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27927232 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 939 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/354 <= -4179791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b + 112. Suppose 0 = -2*n + 4*n + 514. What is the tens digit of n\/(-7) + (-8)\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 24*u - 79. Let r be f(-20). Let m(a) = 2 - 2 + 34*a**2. Is m(r) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 2*r**2 + 4*r + 2. Let w(l) = -l - 14. Let k be w(-10). Calculate the smallest common multiple of (-29)\/5 + 6 - (-708)\/60 and y(k).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2461?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1174908.\nAnswer: 2, 3, 7, 71, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 - 21*a - 1. Let o be u(-10). Factor -17*p + 2*p**3 - 3*p**3 - 6*p**2 + o*p.\nAnswer: -p*(p + 2)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1799*n + 3220 = 1806*n. Calculate the remainder when n is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 24*f - 47. Let y be s(26). Suppose 2*w + 2*g = y*g + 13991, -15 = -3*g. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*68\/(-36)*-3. Let z = 6 + -4. Suppose -w - 21 = -z*b. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.5. Let k = 1.008 - 0.898. Which is the third smallest value? (a) -0.5 (b) k (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/11 + 59*i**2\/11 - 62*i\/11 - 120\/11.\nAnswer: (i - 2)*(i + 1)*(i + 60)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3737860 is divided by 127.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579299 is divided by 289611.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134731.\nAnswer: 134731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 8:55 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b8 + -646?\nAnswer: -55b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6855564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 16*j**2 - j + 2. Let d be r(1). Let i = -26 + 111. Calculate the highest common divisor of d and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-16))\/r**0*r*r**(21\/5)*r*r**(2\/13))**(-8) assuming r is positive.\nAnswer: r**(4496\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 2928.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - ((-18)\/27)\/((-2)\/(-9)). Suppose 5 = 3*l - 4*s - 5, 5*l - s - 11 = 0. Solve l*c - 6 = -v - 3*v, -k*v = -2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-210)\/10)\/21)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*v - 3*v. Suppose v = -o - 7 + 11. Solve -o*l + l = r + 6, 4*l + 8 = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1452 = 4*v, 0 = v + 3*v - 3*h - 1460. Is v a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 48*k. Let q(i) = -7*i. Let o(w) = 40*q(w) + 6*s(w). Let p(n) = n. What is o(p(b))?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 421067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/24*-27 + 6103 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 - 255 + 171 = -109*f. Which is the third biggest value? (a) f (b) 0 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -9. Suppose 64 = -m*i - 428. Let o = -42 - i. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9815103997 rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 1:25 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10138 - -18453. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -6889?\nAnswer: 6895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 - 2*v**2 + 2*v**2 + 4*v**2 - v**2 - 2*v**2 + (-3 + 2*v + 3)*(-2 + 2*v + 2) + (3*v**2 - v**2 - 3*v**2)*(-7 + 42 - 17) - 3*v**2 + 5*v**2 - 4*v**2.\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6368 = -8072*j - 7727*j + 16208*j + 43939 for j.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2, -0.5, -15\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 872.2606 millennia in years?\nAnswer: 872260.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**2 + 10*p**3 + 2*p + 0*p**2 - 3*p**2 - 9*p**3 - p**4 in the form n*p**3 + o*p**2 + u*p + y*p**4 + v and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -10000101010011101111?\nAnswer: 10000101010011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 6:35 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -499 (c) -0.1 (d) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o - 28. Let c be k(-7). Suppose -11*g = -10*g - 2*x - 13, c = -4*g + 4*x + 48. Calculate the remainder when 18 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, g: 4, o: 1, y: 2}. Give prob of sequence ogy.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -10*s + 40. Let m = s + 45. Calculate the remainder when 107 is divided by m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2\/5 - 74661*o\/5 - 74646 = 0. Calculate o.\nAnswer: -24882, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, e: 1, q: 3}. Give prob of picking 2 q and 1 h.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 153, -1.6 in descending order.\nAnswer: 153, -1.6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 2*o**2 - 2*o - 1. Suppose 4*p = 9*p - 10. Suppose -v - 4 = k, p*v = k + v - 2. Determine f(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 4. Let g be (-2)\/(-6) - 2\/6. Suppose -5*r = -0*v - v - 16, -4*r + 2*v + 8 = g. What is the highest common factor of c and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 76*u**2 + 555*u + 602. Give y(-68).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -309193 bigger than 121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*((sqrt(847)*2 - sqrt(847))*5 + -1 + 3)*2)**2.\nAnswer: -5421824 - 56320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/1078 - -6196\/539. Calculate the common denominator of 55\/9 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 6:56 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4850513.\nAnswer: 4850513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.4 - 16. Let z = 2.1 + a. Let r = z - 0.2. What is the second smallest value in r, 1\/3, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*y**4\/4 + 185*y**3 + 929*y**2\/4 - 389*y - 15 = 0 for y.\nAnswer: -2, -2\/53, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**4\/4 - b**3\/3 - b**2\/2 - 2*b + 4. Let a be d(0). Does 2 divide (-12)\/a - 1 - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 + 36*u**2 - 2*u + 30. Determine h(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 15 = 11*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/4 + 89*c\/2 + 179\/4 = 0. Calculate c.\nAnswer: -1, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q**3 - 62*q**2 + 40*q - 136. Let x(l) = -l**3 - 12*l**2 + 8*l - 26. Let k(w) = 11*x(w) - 2*y(w). Give k(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3591 - 380 = 5*a, -5*a + g = -3216. What is the remainder when a is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) 2\/3 (c) -3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 11) to base 13.\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -50, -145, -330, -635?\nAnswer: -1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (2 + -9 + 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -853, -17, 5, -746 in decreasing order.\nAnswer: 5, 0, -17, -746, -853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 5:35 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.82 - -0.12. Let z = 3.7 + w. What is the biggest value in -1\/6, 7, z?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2534, 5005, 7482, 9965, 12454, 14949?\nAnswer: 17450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvv when three letters picked without replacement from vlvl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 159 - 315. Let q = k - -155.7. What is the second biggest value in 0.4, 5, -4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + h**2 + 3*h - 2. Let z = -229 - -231. Let s be o(z). Solve -p - 1 = -s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1534*c**2 + 0*c + 1542*c**2 + 0*c - 15.\nAnswer: 8*c**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 + 2. Let j = -3086 - -3090. Let t = -10 + 9. Which is the closest to 3\/4? (a) t (b) j (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-760)\/(-25))\/8 + 1\/5. Suppose j - 2*h + 11 = 2*j, -4*j = g*h - 28. Solve j*t = 4*v - 23, -3*v + 2 = -4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 7) in base 3?\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134953139 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 5:58 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74071.000078363 + -74071. Round a to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 550\/9 or 61?\nAnswer: 550\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6532 + 15387. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**3 + 28*x**2 + 10*x + 13. Is t(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*2\/(-24))\/(3\/((-12)\/(-4))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = 3*v. Let a(z) = 186875*z**2 - z - 4. Let i be a(v). Round i to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - 5*l - 6*l)*(l - 3 + 3)*(-3 - l + 2*l**2 + 0 + 2).\nAnswer: -10*l**4 + 5*l**3 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17466373 divided by 337?\nAnswer: -51829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -77.\nAnswer: 4\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 8. Let z be s(6). Let n(i) = 2*i**2 - 4*i + 2. Let g be n(z). Suppose m + 17 = g*m. Calculate the remainder when m is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, 1\/6, -1602040, -2, -4 in ascending order.\nAnswer: -1602040, -4, -2, -0.15, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -60068 times 33.5?\nAnswer: -2012278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79727862, -159455717, -239183574, -318911433, -398639294?\nAnswer: -478367157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*a + 3*x, 0 = -5*a + 4*a - 2*x - 4. What is the third derivative of -k**3 + a*k**3 - k**2 + 0*k**3 - 6*k**3 wrt k?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001931187 rounded to 7 decimal places?\nAnswer: -0.0001931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5268.7926 - 5269. Round u to 3 dps.\nAnswer: -0.207","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102309.\nAnswer: 3, 67, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1706 + 0.1706. Which is the nearest to -0.1? (a) 10 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 147, 277, 427, 579, 715?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -966*t**4 + 199*t + 2.\nAnswer: -11592*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7155702 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**3 + 333*w**2 - 42*w - 4525. Give d(-111).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4 + 62*t**3 - 1852*t**2 - 47352*t - 206640 = 0. Calculate t.\nAnswer: -41, -14, -6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 + 6662?\nAnswer: 6680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*s - 42 = 4*u + 350*s, -5*u - 3 = 2*s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + f**2 + 7*f - 9. Let d be t(3). Let g be d\/33 + 0 - 53\/11. Let a = -18 - g. Is a greater than or equal to -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70769 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 square root of 408343412 to the nearest integer?\nAnswer: 20208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7916, -33640, -76520, -136556, -213748, -308096, -419600?\nAnswer: -548260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29\/3? (a) -0.4 (b) 8 (c) 895\/6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9004056 divided by 3\nAnswer: -3001352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1092050 divided by -2\nAnswer: 546025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 18*v + 9. Let k = 456 + -447. Let i(n) = 9*n + 4. Calculate k*i(l) - 4*p(l).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030 divided by -8?\nAnswer: 515\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91, -49, 1, 59?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6b1392 (base 12) to base 11\nAnswer: a7786a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 628526643 to the power of 1\/2, to the nearest integer?\nAnswer: 25070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 11*q + 398 = -7*z - 254, 2*q + 134 = -4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, 0.1, -0.4, 836?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -91 and 0.13.\nAnswer: -90.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299925 = -74*a - 91*a - 50*a. What is the remainder when a is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23271 + -49?\nAnswer: 23223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + -22. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 less than or equal to -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubmu when four letters picked without replacement from umbbbmmububbbum?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 357 and 969?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k + 6*k + 5*k - 3*k - 87. Let r be w(23). Solve -5*j = 36 - r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -2 - -6) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 13*h + 10. Let b be p(-14). Sort -10, -1, b in descending order.\nAnswer: -1, b, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 543\/18 - (-1)\/(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-100)\/75 - 124\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-238)\/(-102) - (-59)\/(-24).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 4*w**3 - w**2)*(5*w - 3*w + 0*w) + 26*w**4 - 10*w**4 + 8*w**4.\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -10*t + 129 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, l: 4}. What is prob of sequence wwl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i - 3. Calculate the remainder when (-62)\/(-6) + (-2)\/6 is divided by g(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 33 (c) 0.03 (d) -0.07 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**4*z**3 - 3*j**4*z**2 - 2240*j**3 - j**2*z**3 + 3*j**2 + 2*z**2 wrt j?\nAnswer: 48*j*z**3 - 72*j*z**2 - 13440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 547575630 a multiple of 3262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3 + 26820291*f**2*j - 910*f*j + 200*f + 374*j wrt f?\nAnswer: 6*f + 53640582*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 7\/2323851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.99848 - -0.00152. Put 0.24, 1, 2\/9, i in decreasing order.\nAnswer: i, 1, 0.24, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (31 - 19 - 9) + 3 + -39?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-9))\/((-5)\/20).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2071 - -2462. What is the highest common factor of y and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3666, 14678, 33034, 58734, 91778?\nAnswer: 132166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-24 - (11 - (-12 - -33) - 2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8254 * -490.\nAnswer: 4044460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -377.9598 - 0.0402. Let l = d + 384. Which is the second biggest value? (a) 5 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 18 + 26 = 0. Let h(j) = -5*j - 8. Let x be h(-3). Put x, -2, y in descending order.\nAnswer: x, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.59.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152932494.\nAnswer: 2, 3, 11, 13, 13711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2116*g = -1345*g - 53199 for g.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 0. Let b(g) = 16*g**2 - 1. Let m be b(d). Calculate the highest common factor of m and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 26 + 13)*((0 + 2*d**3 + 0)*(4*d - 14*d - 10*d) + 2*d**4 + d**4 - 5*d**4) + (-1 + 1 + 2*d)*(0*d + 0*d - 2*d**3).\nAnswer: 1424*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -139*j**2 + 14*j - 432. Let m(d) = -28*d**2 + 3*d - 86. Let n(b) = -11*m(b) + 2*r(b). What is the hundreds digit of n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, 5, -4, 94, 0.33 in increasing order.\nAnswer: -4, 0, 0.33, 5, 9, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*z - 2*z - 4*z + (-4*z + 0*z + z)*(-6 + 2 + 2))*(-40 + 134 - 43) to t + s*z and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 2. Let j(o) be the third derivative of o**4\/6 + 14*o**3\/3 - 2*o**2 + 8*o. Let w(s) = -2*j(s) - 28*r(s). Let x(a) = -2*a**2. Calculate x(w(m)).\nAnswer: -800*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 121*p**2 - 125*p + 24. What is the hundreds digit of u(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 258962, 259013, 259098, 259217, 259370?\n\"Answer: 17*b**2 + 258945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -1403114?\nAnswer: -1403103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26351054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*x - 33*x = 0. Let o(r) be the third derivative of 1\/44*r**4 + 2\/33*r**3 + x*r**5 - 1\/660*r**6 + 6*r**2 + 0 + 0*r. Factor o(j).\nAnswer: -2*(j - 2)*(j + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrb when three letters picked without replacement from qqkrbbbbblzqbbrbbb.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 6*z - 2. Let q be h(5). Suppose 0 = q*b - 2*b - 8. Suppose -168 = 4*x - b*x. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 take away 131896894?\nAnswer: -131896912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o*o**5\/o)\/o*o*o)\/o*(o**6*o*o*o*o)\/o)**(29\/3) assuming o is positive.\nAnswer: o**145","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -3\/7 (c) 1\/7 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) -3 (c) -0.5 (d) -1.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2 - 1598*g - 638401 = 0.\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -886?\nAnswer: 886.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3 - 0) + 5 - 1) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 2. Let k be v(-2). Let j be 3 + (k - 1) - 2. Suppose j = 2*z + 3*z. Solve z*f = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/2, 0.6, 4\/3, 37 in decreasing order.\nAnswer: 37, 4\/3, 0.6, 1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8 = -3*l, 0*x = -3*x + 4*l + 31. Suppose -4*z + x + 3 = 4*g, 3*z + 2*g = 8. Find the third derivative of d**2 + 0*d**z - d**4 + d**2 wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z = 5*z + 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v + 7*v + 9. Suppose 0 = 2*m - 7*m - v*r + 15, -r + 5 = 4*m. Suppose -i + 2 = -m, 5*b + 4*i = 63. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 134666.36017 - 157916.908102. Let u = -23189.548 - j. Let k = -61 + u. Round k to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.38 and -0.1.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b = -25*b. Let g(f) be the third derivative of -f**4\/24 - f**3 + f**2. Give g(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 8*c**2 + 8*c - 19. Let z be 6\/(-1 - (-14)\/8). Let y be t(z). Suppose -3*n = -a - y, 62 + 13 = 5*n - 3*a. Solve n = -2*f + 5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95) - (sqrt(95) - (sqrt(95)*-5 - sqrt(95))*-4)))\/(sqrt(80)*3))**2.\nAnswer: 10051\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3496 = -2446*a + 143264 for a.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - h + 0*h)*(-2*h**2 + 2*h**2 + 2*h**3) + (h**3 - 2*h**3 + 0*h**3)*(3*h - 22*h - 15*h)*(6 - 2 - 1).\nAnswer: 104*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5927 - 5885. What is the highest common factor of y and 9198?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 4*b + 4*b + (2 + 5 - 2)*(3 - 3 + b) - 5*b + 2*b + 2*b)*(-4*b + 16*b**2 + b - 8*b**2).\nAnswer: 64*b**3 - 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -404 and 11901.\nAnswer: 11497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224481 is divided by 56013?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0.4, -3\/2, -11, 2\/7, -1541, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -51423, -102847, -154273, -205701?\n\"Answer: -d**2 - 51421*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v + 230 = 22*v - 52*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s - s**3 - 1 - 5*s + s + 4 as i*s**2 + d*s**3 + n + k*s and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2772 < -2773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 431 - 362. Let z(w) = -w**3 + 36. Calculate the remainder when c is divided by z(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31273463?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 3. Let o be (-1)\/3 + (-68)\/12. Let l be 3\/o*(1 + -3). What is the biggest value in l, -2, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 736.32668 to the nearest 10.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/144 + 166824270\/288 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 248311811*k**4 + 312591816*k wrt k?\nAnswer: 2979741732*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*43.\nAnswer: -17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.72803 millilitres in litres?\nAnswer: 0.02972803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 4:27 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f = 10*f + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -t - 15106, -t + 18887 = 5*i - 0*t. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*c - 500888 = -185*c. Is c a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**4 + 3*h + 3 - 9*h**2 - 4 + 8*h**2 in the form y*h**4 + w*h + t*h**3 + o + c*h**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.2 + 6.2. Let d(t) = t**3 + 2*t**2 - 4*t - 2. Let z be d(-3). Let x be -2*z\/(-2)*3. Put b, x, 2 in increasing order.\nAnswer: 2, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -3*a**2\/2 + 3*a - 5. Suppose -w + 4*u + 10 = -u, u + 170 = 5*w. Let o = 38 - w. Determine n(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.053802.\nAnswer: 0.107604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4458, -8942, -13430, -17922?\nAnswer: -22418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**5\/30 - p**2. Let m(h) = -2*h**2. Determine m(v(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*s - a, -245*s = -241*s + 3*a + 17 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*r = 0, 5*r = -f - 0*r + 30. Let h(j) = 443 + f*j**2 - 2*j**2 - 443. Let t(n) = -4*n**2. Calculate t(h(g)).\nAnswer: -36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1672 + -32. What are the prime factors of -4 - (4\/6 + h\/(-12))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312 = 308*c - 347*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j**3 + 45*j**2 + 54*j - 19. Determine o(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.4, -3, 412, 0, -5, 0.07 in ascending order.\nAnswer: -5, -3, 0, 0.07, 0.4, 3, 412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 640896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/23)\/(f\/f**(-5\/3))*f**3\/(f*f\/(f\/(f**(-7)\/f))) assuming f is positive.\nAnswer: f**(500\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296572847 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * 0.45.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7056316*i*m**2 - 3*i*m + 20*i - 3409*m - 2 wrt m?\nAnswer: -14112632*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4*t - 16 = 0, 2*j + 34*t - 31*t + 5 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1197 is divided by 230.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -2, 3, -317.\nAnswer: -317, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, i: 1, w: 1, y: 1, z: 1, m: 1}. What is prob of picking 1 z, 1 m, and 1 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1959 - 4267?\nAnswer: -6226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*l**2 - 7\/2 - 3*l.\nAnswer: (l - 7)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(48))\/(sqrt(24)\/sqrt(4)*3 - sqrt(6)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2391 + -2389. Solve 0*j - q + 3 = -5*j, q = -f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*u + 13*u + 25*u - u**2)*((3*u**2 + 3*u**2 - 3*u**2)*(0 - 3 + 1) + 4*u**2 - u**2 - 4*u**2).\nAnswer: 7*u**4 + 133*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/490*4\/(-2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.176 - 0.024. Which is the closest to 1? (a) 3\/2 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tltl. What is prob of sequence lt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-226659)\/(-12) + 27\/((-2268)\/(-147)). What is k rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 + -27 + 40 + -52 + -2 + 12?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16637304 (base 8) to base 2.\nAnswer: 1110110011111011000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 11*y**2. Let a(s) = -s**2 + 19*s**2 - 9*s**2 - 6*s**2. Calculate u(a(f)).\nAnswer: 99*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.75541 to two dps.\nAnswer: 63.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -5*y**3\/6 + 3*y**2 + 247*y. What is r(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -23*f**3 - 11*f + 13. Let l(y) = -8*y**3 - 4*y + 4. Let g = -51 - -47. Let m(i) = g*c(i) + 11*l(i). Differentiate m(n) wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*x + 59, -3*s + 13 = 5*x - 2. Suppose 2*q = -s*q + 1080. What is the third derivative of 7*c**2 + q*c + 23*c**3 - 19*c**2 - 90*c wrt c?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/48 and -113\/1980.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18638101, 18638098, 18638095, 18638092, 18638089?\nAnswer: 18638086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4351 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -10*u - 17. Determine r(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 1\/4)*440\/(-110). Put 16, i, -23, -1 in decreasing order.\nAnswer: 16, -1, i, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)\/n)\/(n\/(n\/(n*n**7)))*(n**(2\/7))**18*(n**0)**(-18\/13)\/(n**(-1\/3)*n*n**(-1\/3)) assuming n is positive.\nAnswer: n**(-235\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34)\/(-6) - (-8)\/(-12). Let h = u + -7. Let k(a) = 3*a + 4. Let r(t) = -7*t - 9. What is h*r(y) - 5*k(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51318 divided by 1.\nAnswer: 51318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 2*z + 0*z + (-3 + 1 + 1)*(-20*z - 316 + 316))*(-2*z**3 - z**3 + 5*z**3) + 13*z - 13*z + 2*z**4 + (2*z - 3*z + 3*z)*(3*z**3 + 2*z**3 - 3*z**3).\nAnswer: 50*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -x - 2*r + 43, x - 4*r = 67. Let c be (-1)\/(-3) + x\/15. Suppose -c*v - 20 = 0, 5*d + v = 6 + 14. What is the highest common divisor of d and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(144))\/sqrt(3) + sqrt(48)*-1 + sqrt(48) + 4)*4)**2 + 5.\nAnswer: 1024*sqrt(3) + 3333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16100132 (base 7) in base 3?\nAnswer: 2220120010222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1 = k - 4, 15 = 5*k - 4*h. Suppose -2*p = 2, 18*p - 16*p = -2*z + 6. Calculate the remainder when -51*2*k\/(-18) is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/5 + 296*i\/5.\nAnswer: -4*i*(i - 74)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 8:08 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0058385 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 53*v + 2. What is the remainder when a(1) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -380*d - 102968. Calculate l(-270).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3606296.\nAnswer: 2, 450787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**29*n**(-5) assuming n is positive.\nAnswer: n**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + y - 16. Let l(j) = j - 7*j + 5*j + 2. What is the remainder when y is divided by l(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16379 and 1507.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -86757?\nAnswer: -17351.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.75 - -3.25. Which is the closest to -0.2? (a) z (b) -6 (c) 7 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.241 - -16.97. Round o to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253036 is divided by 986.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*p = 6, -5*d - 3*p = -2*p + 6. Calculate the remainder when 18 is divided by d - -11 - (1 + 2 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l + 8. Let q(a) = a. Give f(m) - 3*q(m).\nAnswer: 7*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-38)\/(-6) + 6\/9. Suppose y - i*y = -90. Let z = y + 55. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63062, -252303, -567738, -1009367, -1577190, -2271207, -3091418?\nAnswer: -4037823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -11*o**3 + 1. Let u be q(-1). Let k be 16*9\/u*-3. Let p = k - -61. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -85952?\nAnswer: 3\/42976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h + 20 = 0. Suppose -2*i + 7 = -h*i + 2*x, -5*x = 5. Let v be 0\/((-4)\/6*3). Are v and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*n - 2781 = 118 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 2. Let w be j(-10). What is the fourth smallest value in -4, 5, 0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l. Let y(b) = -2*b**2 - 15 + 15. Calculate s(y(d)).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8193*m - 15203 with respect to m.\nAnswer: -8193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -26*m + 28. Determine l(-1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -38. Suppose n + 6*n = v. Solve 4 = -4*a - n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**8\/24 + 25*k**4\/24 - 31*k**2. What is the second derivative of i(o) wrt o?\nAnswer: -280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 99, 200, 301?\n\"Answer: 101*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = p - 34. What is the highest common divisor of 72 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by 41244.\nAnswer: -13\/10311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5366269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*w = -70. Let k = 33 + w. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 54\/2*10\/(-15). Let l = 14 - 10. What is the units digit of l\/a - 76\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -5 (b) 3 (c) 1 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -15755667651?\nAnswer: 15755667653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*a = -1, -5*g + 6*a = 3*a - 29. Suppose -4 = -f - d, g*d = 3*f + 4*d + 12. Let o = 7 - f. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/1*5\/10. Suppose -4*l - 2 = b. Is l less than or equal to -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/w**(-11\/5))\/w))\/(w**0\/w))**(-5\/4) assuming w is positive.\nAnswer: w**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*c - 3. Let t(k) = -2*k**2 - 1. Let o(d) = -d + 1. Let m(h) = -2*h + 2. Let s(q) = 2*m(q) - 3*o(q). Let b(w) = 2*s(w) + t(w). Determine b(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120 + -117. Is 13\/4 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1772*n**3 + 74*n**2 - 50*n. Let w be k(-25). Round w to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 37, -0.7, 2?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 10*c**2 - 2*c + 2. Suppose -5*m + 5*u = 0, 4 = 74*u - 70*u. What is the remainder when 52 is divided by z(m)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1026163245.\nAnswer: 3, 5, 1109, 61687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 75, 148, 217, 282, 343, 400?\n\"Answer: -2*q**2 + 79*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-20 - 2) - 3. Let y = d - 9. Suppose y*t - 55 = 5*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (1 + 1)) + -3 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120 + 460. Suppose 4*x + x - f = 0. Suppose -4*p - 5*g = -127, 2*p - x = 2*g - 0*g. Is p a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4053901, -8107815, -12161729, -16215643, -20269557, -24323471?\nAnswer: -28377385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 203*i**3 + 2*i - 2. Let k = 19 - 18. Is q(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, s: 2, e: 12}. Give prob of picking 2 s, 1 e, and 1 f.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-225)\/195 - (-152)\/26?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 22*q**2 - 25*q + 28. Let o = -40 - -19. Let y be z(o). Calculate the greatest common factor of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*12)\/(40\/195*(-51)\/(-34))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18511900 rounded to the nearest one hundred thousand?\nAnswer: 18500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0261 - 4.1439. Let j = w + 4.168495. What is j rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 + 85 - (-12 - -2) - 46?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -0.3, 1\/58?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76589546?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9*w**2 + 48*w**3 - 19*w**2 + 9 - 28*w = 0. Calculate w.\nAnswer: -2\/3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15107159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -38, -114, -194, -278, -366?\n\"Answer: -2*d**2 - 70*d + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*s + 943 = -1109 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9181325 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -26*m. Let p(g) = -11088*g**2 + 2*g. Determine p(v(w)).\nAnswer: -7495488*w**2 - 52*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 3*p**4 - 2*p - p + 6*p**4 - 2*p**4 + 2*p**4 + (-1 + 1 - 2*p)*(-p**3 + 5*p**3 - 6*p**3).\nAnswer: 12*p**4 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, 0, -0.9359, -5, 4.7, -4?\nAnswer: -0.9359","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(565*m + 1056*m + 210*m)*(m + 4*m - 7*m) in the form z*m + n*m**2 + o and give n.\nAnswer: 7324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5666, -3, -6, 55 in decreasing order.\nAnswer: 5666, 55, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**3 - 9*z**2\/2 + 7575. Let q(n) = 2*n**2 - 8*n. What is -5*d(h) + 6*q(h)?\nAnswer: -3*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*q**2 - 60*q**2 + 20*q**2 - 4*q**2 as n + r*q**2 + a*q and give r.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 - 158983 + 158983.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2985, -6473, -9841, -13089, -16217?\nAnswer: -19225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. Let q(d) = x*d**2 - d + d. Let r(s) = 1. Let l(b) = b - 1. Let p(n) = 2*l(n) + 2*r(n). Determine p(q(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11\/26 - 27\/182. Suppose 5*g = 5*o + 15, -o + 5*g + 3 - 2 = 0. Sort q, 1\/4, o in decreasing order.\nAnswer: 1\/4, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 770 + -770. Suppose t = 1286*m - 1288*m + 8. Calculate the common denominator of m and 31\/115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23981131 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/((-6)\/8*1\/57). Suppose -2*s - 42 = f - b, 3*f = -s + 202. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**3 + 2*h**2 + 4*h + 1. Let a be v(-1). Solve 2*c + a = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3926 a factor of 1558649482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 11*f - 25. Let o be z(6). Solve s - 4 = -0*s - 2*p, -5*s + o*p - 10 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17954 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -93.06 and -2819.\nAnswer: 262336.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.009 times -5132?\nAnswer: -5178.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 220211020022120 (base 3) in base 9?\nAnswer: 26736276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 8:14 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 4*s = -3*i + 16, 4*s - 10 = -i. Solve -i*p - 12 = 2*t, 3*p - 5*p - 5*t - 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, y: 6, x: 4}. Give prob of sequence aaa.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t + 7. Let z(r) = 2*r. Give x(z(q)).\nAnswer: 16*q + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 + -66. What is the second biggest value in 5\/6, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*b**2 + 216*b**2 - 105*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 128 = -2*b. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*s + 1966 + 218 = -1012 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*u - 14, 3 - 33 = 5*u - 4*p. Let s(t) = t**2 + t - 1. Let o(g) = -6*g**2 - 3*g + 2. What is u*s(c) - o(c)?\nAnswer: 4*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1942 = -1862. Solve 8*o + t = 4*x + 5*o, 2*x - 5*o = 22 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*p**5 - 1286*p**3 + 803*p**2 + 10*p wrt p?\nAnswer: -2760*p**2 - 7716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2012276 - 2012276 - 1429*r.\nAnswer: -1429*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 21*d = 18*d - 795, 0 = 3*n + 5*d - 1164. Let o be n\/((-12)\/(-28)*7). What is o rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 56.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -2059593090057?\nAnswer: -2059593090056.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqtttfcftytccqttjq. Give prob of picking 1 y, 1 c, and 1 f.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**6\/60 - f**4\/4 - 2*f**3\/3 + 3*f**2\/2 - 6. Let u(h) be the second derivative of a(h). Solve u(t) = 0 for t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from tuwwii.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -230140414*v**3 + 205547361*v**2 wrt v.\nAnswer: -1380842484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 1\/3 (b) 1\/2 (c) 0.7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjfjfjyf. What is prob of sequence jy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*t*u + 1341863*t - 28207*u - 1731 wrt t.\nAnswer: 32*u + 1341863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 1\/6*x**6 - 5\/3*x**3 + 8*x**2 + 1\/6*x**5 - 5\/8*x**4 + 0*x + 0 - 5\/336*x**8 + 0*x**7. Let y(m) = 0. Calculate m.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**3\/2 + 69*m**2\/2 + 243*m\/2 - 5589\/2 = 0. What is m?\nAnswer: -9, 9, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -29. Let f = p - -78. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -10210102212201?\nAnswer: 10210102212111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8527 or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68396 is divided by 152?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30128.\nAnswer: 2, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1154 (base 10) to base 14\nAnswer: 5c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from wwwsbwwqbwzwwzwbbw.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p\/(p*p**(1\/6)\/p))*p)\/p)\/p**9*p**(-1\/6)*p*p**(1\/7) assuming p is positive.\nAnswer: p**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 3. Suppose -4 = 2*z + z + 5*k, 3*z - 5*k + 14 = 0. Let a be (-31)\/z - (-8)\/12. Let r = 6 - a. Give p(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196752?\nAnswer: 2, 3, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m + 1400. Let l be a(0). What is l rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100 - -21001122111102?\nAnswer: 21001122110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 105 or 104?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2 = g, 4 = -g + 3*d + 10. Suppose -2*x - 2*x + 2447 = 5*l, 0 = -g*x + 9. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, s: 1, b: 1, x: 2, y: 2}. Give prob of picking 1 u and 2 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*v + 5*v**4 - 6*v**2 - 4*v - v wrt v?\nAnswer: 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 300 - 300. Suppose x = 13*f - 731 - 192. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 183.\nAnswer: -26\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 c when three letters picked without replacement from {d: 2, x: 1, m: 3, c: 6, v: 7}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 51? (a) 1\/4 (b) 0.3 (c) -0.2 (d) -1\/4 (e) 3\/445 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**15\/y*y\/(y*y\/(y\/((y**(2\/5)*y)\/y))*y))\/((y*y**(2\/53))\/(((y\/((y*y**13)\/y))\/y)\/y)))**21 assuming y is positive.\nAnswer: y**(-13566\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-4) - 0)*2. Suppose 20 = v*r - 0*r. Suppose r*j - 4 = 6. Solve 4 = 2*g + j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, s: 1, r: 6, h: 4}. Give prob of picking 1 s and 1 r.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2023, -804, 52, 5.\nAnswer: -804, -5, 5, 52, 2023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 64\/7, 3, 0.4, 0.1, -4, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4545*j**4 - 22640*j**3 - 425*j**2.\nAnswer: 5*j**2*(j - 5)*(909*j + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/105*(-585)\/30.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2106) + 3*sqrt(2106))*-3)\/((sqrt(198)\/sqrt(11)*-3)\/sqrt(9)).\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4088534 is divided by 13405.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*t - 4*r, -t + 1326*r = 1323*r + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 18 = 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -487 + 1162. Let h = s - -21. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + 2 + sqrt(343) + -4 - sqrt(343)) + sqrt(343))**2 + (0 + (sqrt(7) - sqrt(112)))**2 + sqrt(7) + (sqrt(1008))**2.\nAnswer: -55*sqrt(7) + 2447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 12. Let m be (-5 + 2)\/o - -2. Let v = 82 - 80. What is the nearest to 4 in -0.4, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 985160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 41\/((-615)\/(-20))*30\/(-4)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 3\/2, -148, -5, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-84)\/1920*(-264)\/(-22).\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6545?\nAnswer: 5, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1465 - -1475. Let s(n) = 3*n + 9. Determine s(a).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -189436207*o**2 + 140721339 with respect to o.\nAnswer: -378872414*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4592808 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 14*n**2 - 401*n - 4317. Give c(37).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5594784, 1\/2, -4 in descending order.\nAnswer: 1\/2, -4, -5594784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 520146653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**3 - i + i + (-3*i + 3*i - 2*i)*(3*i**2 - 2*i**2 + 0*i**2) - i**3 + 0*i**3 - i**3 + 0*i**3 + i**3 + 2*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 204.31019779 - -0.3?\nAnswer: 204.61019779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 13) to base 7.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -4.04. Let f = 0.04 + -0.1. Let m = f - w. Round m to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 - 2*y - 1. Does 25 divide j(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. Let u(g) = h - g - 1. Let z(a) = 4*a - 1. Suppose 0 = 3*d + 134 - 116. Determine d*u(m) - z(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20\/13 - -119\/52. What is the second biggest value in t, -0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1628, 3247, 4866, 6485?\nAnswer: 8104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8629 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155417 - 8*t - 155408 - 155415 - 155423 + 621663.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2885241*a + 20196689. Determine p(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -912*y - 77*y - 1762*y + 95*y + 1 - 160*y as g + u*y and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1001*a + 3. Let v(u) = 1030*u + 4. Calculate -5*v(k) + 6*w(k).\nAnswer: 856*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101 + 1000110?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 220331\/37660 + -1\/1883. What is the common denominator of z and -49\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-4)\/(-2)*22\/6*(-27)\/(-18).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k - 1. Let f be j(1). Suppose o + 5*s = f*o - 10, 5*o + 2*s = 29. Suppose -o*x + q = 2*q - 57, -5*q = -3*x + 51. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11797 and 13554?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18244, -36507, -54780, -73069, -91380?\n\"Answer: -b**3 + b**2 - 18259*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4396, -4175, -3944, -3697, -3428, -3131?\n\"Answer: f**3 - f**2 + 217*f - 4613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 319, 580, 649, 430, -173, -1256?\n\"Answer: -16*q**3 + 373*q - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(144) - (sqrt(144) - 1*sqrt(144)))\/sqrt(9)*-5)\/(5*(sqrt(800) + sqrt(800)*-2)))*1.\nAnswer: -4 + sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/6)\/(4\/176). Solve 0 = 2*d + 5*n + 11, b = 2*d - 3*n + 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c04 + 4aa?\nAnswer: 31ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157849158.\nAnswer: 2, 3, 53, 496381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00192971 to four dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -61358 + k**3 + 61358. Let l(a) = 14*a**3 - 2*a. What is i(q) - l(q)?\nAnswer: -13*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 125*z**3\/3 + 7*z + 2440. Let r(c) = -63*c**2 - 4. Give -4*a(h) - 7*r(h).\nAnswer: -59*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + 0*y + 0*y)*(-5*y + 4*y - y)*(-9*y + 5*y + 5*y) to the form u*y**2 + f + d*y**3 + l*y and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 3*u + 3*u + (-3 + 3 - u)*(-1 - 2 + 0))*(4 - 4 - 2*u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/17 (b) -1\/3 (c) -1\/6 (d) 2 (e) 10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*c + 2 - 5*c - 85*c to the form i*c + v and give i.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 7\/(-8)) + (-21 - 87710\/(-112)). What is the highest common factor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -265*q**2 + 6659*q**3 + 2235*q**2 - 3803*q**3 - 3876*q**3 wrt q.\nAnswer: -6120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 403 - 372. What is the closest to -1 in -1, j, -5, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -112.3 (b) -4\/3 (c) -0.4 (d) 0 (e) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5958.\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.98, -1?\nAnswer: 0.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 7*c - 5\/6*c**3 + 0 - 1\/20*c**5 + 0*c**4 - 1\/2*c**2. Let f(v) = v. Determine 5*f(p) + y(p).\nAnswer: -p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6437912 a multiple of 1202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94441*k**4 + 14*k**2 - 3428*k wrt k?\nAnswer: -2266584*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -168, 3\/5, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 35*y - 2046 = 43*y for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327817 is divided by 2392.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 36297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19941 is divided by 55?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + 68*k + 0*k**2 + 6*k**4 - 69*k - 1 to the form q*k + n*k**2 + h*k**4 + x*k**3 + g and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14276\/6175 - 2\/475. Let i = 1149\/2 + -3593\/6. Calculate the common denominator of i and n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 - 207. Let x = m + 115. Let h = -0.4 + 0. Which is the nearest to x? (a) 2\/9 (b) 6\/13 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-434*g - 4*g - 116*g)*(g + g - 3*g) + (g - 5 + 5)*(2 - 1 - 3)*(-g + 1 - 1).\nAnswer: 556*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 7, -286*b - 43 = -4*g - 291*b. Solve l = 5*d + 9 + 13, -l = -d - g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -291562*h**4 - 3*h**3 - 1306468*h**2.\nAnswer: -6997488*h - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrggrrrg. What is prob of picking 1 g and 1 r?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3970.23 nanometers to micrometers.\nAnswer: 3.97023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1004486521?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 13. Find the third derivative of -d**x + 24*d - 24*d + 4*d**3 wrt d.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 1046088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 = -8. Which is smaller: t or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.2 + -1.75. Let n = -0.95 + s. Which is the nearest to -6? (a) -0.4 (b) -0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 2*y - 1. Let u = -63 - -62. Let f be m(u). Suppose -4*c = -t + 6*t - 372, -f*t + 3*c = -135. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24307 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**3 - 6*h**2 - 72*h + 8. Calculate m(-5).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 15*t + 3. Let w be h(1). Let 12 - w - 10*x**3 + 16*x + 4*x**2 + 0*x**3 + 6 + 2*x**4 = 0. What is x?\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*d**5 + 537*d**4 - 930*d**3 + 153*d**2 + 426*d - 168 = 0. What is d?\nAnswer: -2\/3, 1\/2, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*j**3 + 10190*j**2 - 6800*j.\nAnswer: 5*j*(j + 680)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 182, 181, 180?\n\"Answer: -k + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25038 + 25013 + 4922*n**2 - 50051.\nAnswer: 4922*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - (8 + -18 + 9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 863.97 times -0.5\nAnswer: -431.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*l + 9 = 2*l, 0 = -5*a + 2*l + 21. Suppose -2*d + z = 3*z - 46, 0 = d - a*z - 15. Suppose -2*u - u + d = 0. Let t(p) = 2*p - 3. Determine t(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -107.18665 + -5.\nAnswer: -112.18665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*i**3*l**3 + 13463*i**3*l + 174*i*l**2 + 1234*l**4 wrt l.\nAnswer: 84*i**3 + 29616*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.68 * -0.126\nAnswer: -0.08568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5717 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3)\/v**(-6))\/(v\/(v**(-2\/5)*v))**(7\/6))\/(((v*v**(-9\/4))\/v)\/(v**(-12)\/v))**(21\/2) assuming v is positive.\nAnswer: v**(-13241\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.702 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -233 + 229. Let x(o) = 2*o**3 - o**2 - 3*o + 2. Let m(b) = -b**3 + b**2 + 4*b - 2. Give q*x(h) - 3*m(h).\nAnswer: -5*h**3 + h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6704 = -4*f, 4*g - 6*g = 14*f - 13320. Does 25 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -90865161 and 22.3?\nAnswer: 90865183.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 42*o**3 - 4*o**3.\nAnswer: -44*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/692 and -146 + 145 + (2 - (-1378)\/(-1384))?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, a: 2, h: 1, c: 1}. Give prob of sequence ff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/s**(-6\/17))*s**(-9)*(s*s\/(s*s**12))\/s**(-3\/2) assuming s is positive.\nAnswer: s**(-641\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1363 is divided by 339?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*b + 45. What is the smallest common multiple of 10 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -3 (c) 0 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from vvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0. Let h = 3 - -87. Suppose c = 4*l - h - 54. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 times -0.01399711\nAnswer: 0.85382371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -228\/6699671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -225*n + 35. Let v(p) = 113*p - 18. Let u(l) = 3*a(l) + 7*v(l). Is u(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 6:32 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(168\/(-6))*6\/3.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*j = -42*j + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 2:36 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*w - 4. Let j be w\/(-2 + (-2 - -1)). Factor 2\/3*f**4 - j*f**5 + 2\/3*f**3 + 0 - 2\/3*f**2 + 0*f.\nAnswer: -2*f**2*(f - 1)**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 679574471 to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24143 - -2002201?\nAnswer: 2031344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/4*x**2 + 1\/2*x + 1\/4*x**4 + 0 + x**3.\nAnswer: x*(x + 1)**2*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 13.8. Let k = -11.73 + -0.27. Let y = r - k. What is y rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**4 + 28*h**3\/3 + 49*h**2\/3 + 2*h = 0 for h.\nAnswer: -1, -2\/15, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 327676 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1\/v**6)**(-4))**(-18\/5) assuming v is positive.\nAnswer: v**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((7 - 8) + 7 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 3 + j + 2 - 2*j**3 - 2*j - 4. What are the prime factors of z(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/1189 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62622 - 42485. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -215, 11, -1 in increasing order.\nAnswer: -215, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*j. Let m(t) = -t**3 - 8*t**2 + 8*t - 4. Let s be m(-9). Suppose 0 = -2*o + s*o - 2*l - 347, -3*o - 5*l + 340 = j. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 6*k**2. Let r be m(-6). Suppose -w - 18 + 64 = r. Suppose 263 = 5*i + z, i - 5*z = -3*z + w. What is the remainder when i is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12281, 49145, 110595, 196637, 307277, 442521?\nAnswer: 602375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 266?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352)\/sqrt(8) + sqrt(44))\/sqrt(4) + (sqrt(1331) + sqrt(1331) + sqrt(1331) + sqrt(1331) + 0 + sqrt(1331))**2)*3*4.\nAnswer: 24*sqrt(11) + 399300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkdd when four letters picked without replacement from {s: 1, d: 8, k: 4}?\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*o + 2 - 2.\nAnswer: 117*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 57436862431?\nAnswer: -57436862431.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 253178747.7 to the nearest 10000.\nAnswer: 253180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 18*p**2 + p. Let r be j(-3). Let h = 82 - r. Is 2\/4 + h\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/(-25))\/(12\/210). What is the greatest common factor of t and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -5\/53, -1\/3 in decreasing order.\nAnswer: 1\/2, -5\/53, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.03145 times 1925\nAnswer: 60.54125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 + 120. Suppose 5*i - 158 = -d. What is the greatest common factor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4235.13413 + -0.13413. Is 0 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4178, -7535, -10914, -14315, -17738, -21183, -24650?\n\"Answer: -11*s**2 - 3324*s - 843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14074*a - 15645*a + 13929*a - 19158*a.\nAnswer: -34948*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185016791?\nAnswer: 185016791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*y**3 + 10*y**3 - 209*y**3 - 57*y**3.\nAnswer: -236*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3193114, 6386224, 9579334, 12772444, 15965554?\n\"Answer: 3193110*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - 2*u**2 + 3*u**2 + (-9 + 22*u + 9)*(u - u - u) - 2 + 2 - 2*u**2.\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 145 + 220?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*24\/30 + 9\/(-3). Suppose -2*s + 3*s = 35. Calculate the highest common factor of s and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*c + 5. Suppose 4*t = 5*t - c, -3*n + 181 = -t. List the prime factors of n.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 12*d + 17. Calculate z(11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4. Let h = 38.9 + -39. Which is the closest to -1? (a) h (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 1:47 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/14*13064\/(-5112).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 + 29. Let c = 50 + b. What is the common denominator of c and 46\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10560548416 + 140*w**2 - 140*w**2 - 10560548416 + 13*w**3.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12 (b) 0.1297 (c) -7 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + 22*m - 16. Let v be f(-12). Suppose 6*x - v*x = -8. Suppose 5*l - 344 = 4*n, x*l + n - 271 = -0*n. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 292883794?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 290 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -14\/3573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.0012 + -23. What is b rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76111695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.436 - -1.5. Let z = -3.764 + d. Let a = 4 + z. Sort -0.5, a, 0.1 in decreasing order.\nAnswer: a, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**5\/60 - 4*y**2. Let q(c) be the second derivative of 1\/6*c**3 + 0*c**2 + 0 + 2*c. What is q(v(r))?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -242969.1 to the nearest 1000.\nAnswer: -243000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8931*j - 5*b = -8936*j - 80, -6*j + 25 = 5*b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1190452*u**6 - 10*u**4 - 181433*u**2 - 19.\nAnswer: -142854240*u**3 - 240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 - 3*t - 1. Let n be m(-3). Let d = 14 + n. Solve -5*r = 5*a - 15, -3*r - d*a = -3 - 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -f. Let z(r) = -715*r + 5 + 239*r + 236*r + 239*r + 4. Give z(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 - 512\/5. Let i be 33\/12 - 2\/(-8). Let u be (2 - 8)\/(i\/(-2)). Which is the second biggest value? (a) -5 (b) u (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 410832 or -1?\nAnswer: 410832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3 + 4*v**2 - v**3 + 27 + 0*v**3 - 502*v + 553*v + 17*v**2 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12749*p**4 - 12282 wrt p.\nAnswer: 50996*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3*b = 0, -2*b + 39 = -3*i + 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -15) + (-8 - (3 - 5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69991\/6 - 1\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**6\/30 + 7*g**4\/24 - 3*g**2. What is the second derivative of b(y) wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5 = -b. Let g(y) = y**3 - 2*y**2 - 6*y + 12. Is g(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202 (base 4) in base 3?\nAnswer: 10122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 1243?\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -540 in -0.061, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + y - 205 = 0. Let p = 39 - y. Sort p, 1, -1.\nAnswer: p, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q + 198. Calculate the remainder when h(4) is divided by 47.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -153611\/3 at least as big as -51203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27.58 + 27.48. Which is the smallest value? (a) f (b) -2 (c) 0.45 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5 + sqrt(14)\/((sqrt(2) + sqrt(4)\/sqrt(2))*1 - sqrt(2)) - (-5 + sqrt(567) + -3 + -3)**2).\nAnswer: -690 + 199*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2254 and 441262199.\nAnswer: 1127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/5 + 917*d**4\/5 + 115981*d**3\/5 - 1613133*d**2\/5 + 1394226*d - 1920240 = 0. Calculate d.\nAnswer: -762, -168, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.312 - 9.4. Let a = -0.088 - d. What is the closest to 0 in a, -0.4, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**7\/735 + u**5\/105 - u**3\/21 + 3*u**2. Factor w(m).\nAnswer: -2*(m - 1)**2*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 - (1396\/(-8) + 5). Let v = t + -163. Which is the second smallest value? (a) -0.04 (b) -0.5 (c) 2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -o - 14, o + z = -3*o + 4. Solve -o*f + 2 = 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Let u = -121 - -213. Let t be u\/(-28) + 4\/14. Put 5, w, t in descending order.\nAnswer: 5, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by ((-1)\/2)\/(4\/(-152)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q + 2*i - 390, 5*i = 0. Is q a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 3*i - 99. What is the third derivative of -712*k + i*k**2 + k**2 + 4*k**4 + 712*k wrt k?\nAnswer: 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2508 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1281 and 83\/1281?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18738 divided by 91.\nAnswer: -18738\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -121.7 + 123. Which is the biggest value? (a) 5 (b) r (c) 2\/7 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence all when three letters picked without replacement from {s: 4, a: 2, o: 6, l: 3}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -62 - 81 - 52 - 141*y + 195. Let n(i) = -i + 2. Let t(m) = m - 3. Let o(g) = 3*n(g) + 2*t(g). What is u(o(b))?\nAnswer: 141*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 8*a = -4*a. Solve a = -4*c - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57742031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 + 3*a + 2. Let h(k) = -k - 1. Let t = 3 + -2. Let m be h(t). Let j(f) = -f**2 - f. What is m*j(d) - g(d)?\nAnswer: -d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2. Let a(x) = 176 - 19*x**2 - 176. Determine t(a(l)).\nAnswer: 361*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 - 48 - 2*u**2 - 502 to the form p*u**2 + x + q*u and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -116985 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*d = 48*d + 2898. List the prime factors of d.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 4*a - 2*a**3 + a - a**2 to r*a + d*a**3 + z*a**2 + q and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbboomi. Give prob of picking 2 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1)*r*r)**(-11\/5))**1*(r**(-3\/7)*r**(-1\/4))**47 assuming r is positive.\nAnswer: r**(-5081\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 65*d - 738. Determine f(9).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 2, 3, 63, 232 in descending order.\nAnswer: 232, 63, 3, 2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*y = y + 25, 0 = 5*d - 2*y - 5. Let r be 0 + 2 + d*53. Let m = 77 + r. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g. Let v(l) = -31516*l. Give v(i(z)).\nAnswer: 63032*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 2875517336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*a + 5. Let h be (a\/(75\/(-1270)))\/(6\/(-9)). Let i = -115 - h. Calculate the remainder when 71 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5\/((-10)\/(-1254)))\/1 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 168.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-17)\/(-51))\/((-11)\/517)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -9*n. Let c(s) = 1383*s - 1383*s + 3*s**2. Calculate c(p(i)).\nAnswer: 243*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -121 or -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.7 - -1. Let j = -2.7 - c. Put 2\/9, -1, j in decreasing order.\nAnswer: 2\/9, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32685 and 45.\nAnswer: 98055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100210 + 122200?\nAnswer: 1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 - 8*p**2 - 2*p + 8. Let x be z(-4). Which is greater: x or -306?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -652 bigger than -822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -14.52.\nAnswer: -2.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 310743009 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 9*m**2 - 6*m - 6. Let v be u(8). Find the third derivative of 6*h**3 - 3*h**3 - 10*h + h**2 + v*h wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 120?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.27571 to two decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**4\/3 + 170*x**3\/3 - 2638*x**2\/3 + 2470*x\/3 = 0.\nAnswer: 0, 1, 19, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 97878, 195760, 293640, 391518, 489394, 587268, 685140?\n\"Answer: -v**2 + 97885*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2074*h + 26953. Give x(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 9. Suppose 4*u = q*u - 4. Let f = -1 + u. Solve r = -f*t - 12, -t + 2*r - 1 = 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**3 - 21*k**2 - 84*k - 60 = 0?\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/4101 != 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 4. Let f(b) = -1 + 1 + 5 + b. Let s = 0 + 0. Suppose -q - 8 = 5*x + 7, -4*q = s. Determine x*f(d) + 4*o(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 12*l - 13. Let k be q(7). Let w = k - -23. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.168227 millimeters?\nAnswer: 0.000003168227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -4 (b) -8 (c) 0.42 (d) 3\/4 (e) 0.0335\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 9 = 3*v. Let k(t) = 41*t - 944. Let n be k(23). Are v and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - l**3 + (-12*l**3 - 27*l - 3*l**3 + 14*l**3)*(1 - 4 + 4) as v*l**2 + u + b*l + f*l**3 and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -179*p**3 + 16*p**2 + 7. Let q(c) = -7*c**2 + 270*c**3 - 23*c**2 + 89*c**3 - 12. Let y(k) = 7*j(k) + 4*q(k). Find the third derivative of y(g) wrt g.\nAnswer: 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + w = -w + 156, 4*w + 684 = -4*q. What is the common denominator of 2 + (-2 - q\/4) and -89\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 73 = 887. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 65002*s + 4. Suppose p - 2 = y, 3*p + 2*p = -y - 14. Let d be z(p). Round d to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -a - 1, 0*a - 20 = -4*a. Suppose -4*x = p*u + 2*u, -2*x + 4*u + 12 = 0. Factor 8*h**3 - h + 7*h**3 - 2*h**2 - 14*h**3 + h**4 + h**x.\nAnswer: h*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 6*m - 10. Let q be y(-9). Suppose -5*a + 211 = d, 2*d = 3*a + d - q. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.7 times -1115.7?\nAnswer: -20863.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -1, -4 in ascending order.\nAnswer: -4, -1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*l - 1 + 1 + 26*l**2 + 45*l to the form t*l + r + w*l**2 and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 9:22 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5611016 or 22\/5?\nAnswer: 5611016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*4\/(4\/(-5)). Solve -h + 8 - c = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m - 24 = 0. Suppose -4540 = -m*u - 1498. Suppose -2*x + u = 3*n - 0*x, 5*x = -n + 182. Calculate the remainder when n is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from nnwpnnwcwnwtww.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*q + 15, 3*q - 3*z + 15 = -0. Let g be q\/6 + (-84)\/(-180). What is the second biggest value in 3, -4\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 3515*r - 28440.\nAnswer: 5*(r - 711)*(r + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*t - 22. Suppose -t = k + k. Let h(s) = -3*s - 5. Let c(o) = -o - 1. Let r(z) = 4*c(z) - h(z). Give r(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h + w = 89 - 13 - 4, -h - 4*h - 15 = -5*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29.90364391 - -2.10363521. Let t = 27.8 + b. Round t to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8\/3)*u**(-7)*(u**(-1)*u)\/u**(-5))\/((u\/((u*u**(-2\/19)*u)\/u))\/((u\/u**9)\/u)*(u**1\/u*u)**(35\/3)) assuming u is positive.\nAnswer: u**(-1450\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - 3*(1*sqrt(85) - sqrt(85)))\/sqrt(180) - ((-1 + -4 + (sqrt(119)*2)\/sqrt(7))*3)**2.\nAnswer: -837 + 1081*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, r: 5}. Give prob of sequence er.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/44471 and -31\/7?\nAnswer: 44471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 2214244204?\nAnswer: -2214244210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.31 + -0.01. Suppose 0 = -2*g + 3*g + 2. Let k be (-2 - 25\/(-12))\/(g\/(-8)). Which is the nearest to k? (a) -2 (b) -1\/10 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1022385*k**4 - 774602*k wrt k?\nAnswer: -12268620*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 44426 (base 7) to base 15\nAnswer: 34b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1032 = -3*p, 13*p - 1720 = -5*l + 18*p. What are the prime factors of l?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502739 is divided by 399?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 723.4658 grams?\nAnswer: 0.7234658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1304 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 93, 426, 971, 1722, 2673, 3818, 5151?\n\"Answer: -b**3 + 112*b**2 + 4*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 3*f**2 - 2*f - 2. Let w be c(-3). Solve 12 = w*m, -8 - 1 = -2*d - 5*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 0)*(-12)\/(-3). Suppose 4*j - 5*x = -x + m, 2*j - 5*x = -2. Let z(s) = 2*s**2 - j*s**3 - 1 + 2*s**3 - 3*s**3. Calculate z(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2618*w - 902*w - 1691*w - 79140 = -1254*w for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhhhdd. What is prob of sequence dh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48\/32*1*2 + 36 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 534202?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(144)\/sqrt(4))\/(sqrt(432)*-2) + -3.\nAnswer: -3 - 5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 28 - 147\/27?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i - 6. Let z be k(2). Let r(s) = -s**3 + s**2 + s. Let g be r(0). Suppose -5*c + g*t = t - 5, t = -3*c + 5. Is c at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10637 - 9774. What is the remainder when h is divided by 67?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16294, 32670, 49194, 65926, 82926, 100254?\nAnswer: 117970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280009 + -43697.\nAnswer: -323706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 45 = 3*a. Suppose a = 2*c - 5*w, -3*c = -2*w - 3 - 5. What is the second derivative of -5*d + d**c + 3*d**2 + 2*d**2 wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/12*-3 - 2. Suppose 5*v - 2*a = -6*a + 77, c*v + a = 49. What is the first derivative of -552*p + v + 3 + 557*p wrt p?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.9, 3, 596.514?\nAnswer: 596.514","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or -0.38125?\nAnswer: -0.38125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 3, 41, -1789, 4, 0 in descending order.\nAnswer: 41, 4, 3, 0, -2, -4, -1789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 1. Let j = -6 - d. Determine y so that y**2 + 5*y**2 + 9*y**3 + 6*y**j - 9*y**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 120\/11, -0.2, 0.2, -0.06, 196?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 11*l = -2340. Let o = 136 + l. Solve o*v + v - 7 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 8*d + 4. Let o be -1*(-4 + 4) - -41. Let a(w) = 12*w**2 + 3*w**3 - 2*w**3 + o - 57 - 2*w. Let h be a(-12). What is v(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 1 + 21 = -3*m, 2*y = -4*m - 8 - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 43, 8, 4 in descending order.\nAnswer: 43, 8, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 0*(-3)\/(-9). What is the derivative of 2*w**4 + 4 + 2*w**m - 2*w**2 + 6*w**4 wrt w?\nAnswer: 32*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2. Let s(o) = -219*o + 219*o - 43 + o**2 + 102. What is s(v(i))?\nAnswer: i**4 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 3*q - 15)*(3*q - 6*q + 5*q - 260*q**2) in the form h + k*q + j*q**2 + l*q**3 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddf when four letters picked without replacement from dddddddddddfdddddddd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 + 84 + 77*c.\nAnswer: 77*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18473\/2 - -9237. What is the closest to r in -9, -182, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 5*y + 2*y)*(0 - 4 + 2) - 113*y - 5*y - 139*y.\nAnswer: -267*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -11*x. Calculate h(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 20 = -5*o - 0*i, -3*i - 12 = o. Let w(m) = -m**3 + m + 1. Let f(k) = -4*k**3 + 3*k + 219597328 - 219597328. Calculate o*w(u) - f(u).\nAnswer: u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -18197860 <= -18197858?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1294 + 1294.1. Let s = 0.8 + 13.2. Let z = -190 - -188. Which is the closest to -2? (a) z (b) s (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36035 and 0.5.\nAnswer: -36034.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/905 and 23\/3.\nAnswer: 2715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5741614042 to the nearest integer?\nAnswer: 1791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74424*c**2 + 74424*c**2 + 7 - 25*c**3.\nAnswer: -25*c**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 11. Let o(f) = f**3 + 4*f**2 - 6*f + 1. Let s be o(-5). Let c be ((-7)\/21)\/(g\/s). Solve -c*p - p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4886 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8406 by 467.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31683 and 531.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3129126906?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/(2\/32). Let s(b) = -b**3 - 9*b**2 - 8*b + 11. Let u be s(m). Let f = u - 8. Solve -f*t = -7*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**3\/3 + q**2\/2 - 17*q. Let k = -10 + 12. Suppose 0 = -5*x + 25, -k*w - 6*x = -x - 27. What is m(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -6*n - 1. Does 26 divide 179\/n - 6\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 4*h - 660 = -4*k, -4*h - 636 = 3*k. Let w = 221 + k. Solve w*j - 3*f = -24, -15 = 3*j - 5*f + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11394, 7812, 4226, 630, -2982, -6616, -10278, -13974?\nAnswer: -17710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 6:29 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26284 - 10673. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -11*d + 10*d. Let n(i) = 41*i - 2. Let l be n(3). Let y = l - 86. What is the remainder when y is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isissznzkcskzcznzs. What is prob of picking 1 z, 1 s, and 1 c?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m - 1752 + 1258 = 2*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*i**4 + i**3 + 114*i**2 + 0*i**4 + 14*i**4 - 47*i**2 - 57*i**2 wrt i.\nAnswer: 1008*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/88 and (-5)\/30 - 1041\/990?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 11*v**2 - 3*v + 16. Let i be u(5). Calculate the highest common divisor of i and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/sqrt(5)*-6 + 2*(sqrt(5) + -1))*-5.\nAnswer: 10 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from ppekekkk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 356661 and 0.02561.\nAnswer: 356661.02561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i + 3048 - 3405 - 13*i + 17*i to the form q + a*i and give q.\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 9*l = 0. Let a(m) = m**3 - m**2 + m + 6. Calculate a(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5331444 - -1034?\nAnswer: -5330410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*n - 25*n + 720. Let u be (-2)\/14 - n\/21. Solve 2*y = k - 2, k + y + 1 = u*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 5:00 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21258, 42610, 64158, 85998, 108226, 130938, 154230?\n\"Answer: 16*n**3 + 2*n**2 + 21234*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236 > 1236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2572079*u**2 + 7716171*u**2 - 2572116*u**2 - 2572055*u**2.\nAnswer: -79*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 61?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15241*-0.02\nAnswer: 304.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 675050 divided by 115\nAnswer: 5870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 0. Let h = 144 + -636. Let b = h + 491.9. What is the fourth smallest value in b, 6, -0.5, a?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1554 + 4163. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*f - 4 + 2 - 2 - 5*f in the form h + z*f and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a minute in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/102 and -29\/72.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6\/5 - -27\/35. Suppose s - 2*y - 14 = 3*s, 16 = -2*s - 3*y. Let z(m) = -m**2 - 4*m + 6. Let r be z(s). Which is the nearest to 2? (a) 1\/3 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32501561*j**2*n**3 - 48*j**2*n - 5*j**2 - 49*j*n + 3*j - n + 2 wrt n?\nAnswer: 195009366*j**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 120 + -119. What is the remainder when 174 is divided by (-175)\/14*(-2 + u + -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, o: 2}. Give prob of sequence oot.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3650770*k*z + 770224*z with respect to k.\nAnswer: 3650770*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7217690.\nAnswer: 2, 5, 17, 42457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2 - 10. Let b be 15\/(-4) + 2\/(-8). Let f be -2*(1 - (3 + -3))*-1. Put f, b, z in decreasing order.\nAnswer: z, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from epeejeeejpkepeek. Give prob of picking 1 k, 1 p, 1 e, and 1 j.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 3. Let u(c) = -4*c**2 - c + 5. Let o be (0 + -1 + -1)*120\/80. Let d = -11 + 6. Determine d*w(b) + o*u(b).\nAnswer: 2*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 20. Let x(o) = o**2 + 6*o - 5. Let t be x(y). What is the tens digit of (-5 - 0)\/t + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 + 186*p**2 + 186*p + 198. Let l be h(94). Solve 6*t + 4 = l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h + 2. Let z(a) = -251*a**3 + 2*a**2 - 3*a + 110. Let r(m) = -x(m) + z(m). Differentiate r(j) with respect to j.\nAnswer: -753*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3475, 6287, 9099, 11911?\n\"Answer: 2812*b + 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.35628 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7*j**3 - 15*j**2 - 23*j + 14. Let d(l) = 4*l**3 + 8*l**2 + 12*l - 7. Let a(x) = -6*c(x) - 11*d(x). Is a(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in decades?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 930 divided by -30?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + 69. Let g(r) = -r**2 - 12*r - 15. Let p be g(-9). Calculate the highest common factor of a and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4664 - 13991\/3. Let h = -3 + -2. Let p be 88\/(-20) - 2\/(-5). What is the nearest to -2 in h, n, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/9*3*(-410)\/(-328).\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 15. Let r = -25 + 30. Suppose 3*o + s = r - 1, 0 = -3*o + 3*s + y. Solve 2 = -2*x - o*h, 5*x + 3*h = -1 - 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -1\/3, -1915, 3, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -3. Suppose 0*o + n*o = 0. Is -1\/4 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2901 - 2899. Let u(y) = 1. Let r(a) = 3*a + 7. Let g(i) = 4*i + 8. Let w(z) = -4*g(z) + 5*r(z). Let c(h) = 5*u(h) - 2*w(h). What is c(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1150 and 50?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 20. Let l(n) = n**m + 1 - 3 + 0*n**2 - 3 + 5*n. Give l(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29689, 29595, 29469, 29311, 29121, 28899?\nAnswer: 28645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483119.\nAnswer: 7, 13, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, -4 in descending order.\nAnswer: 9, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 80?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 1:39 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 12*t + 24. Let o be r(-14). What is the common denominator of (-97)\/(o\/(-40)*5\/3) and 111\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 572073.8 nanograms?\nAnswer: 572.0738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 7:57 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7799 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 35. Solve -z*u + 3 + 9 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*t**5 - 452848*t**4 - t**2 + 56349491*t wrt t.\nAnswer: -560*t**3 - 5434176*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 343.96 and -7946833.\nAnswer: -7946489.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 164.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45178813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q - 1. Let x = -3 + 5. Let s be b(x). Suppose -n = -2 - s. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 75281.5mg?\nAnswer: 75281500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.91*189723.\nAnswer: -2639046.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2. Let u(d) = d**2 + d - 1. Let v(n) = -n + 1. Let t(f) = u(f) + v(f). Calculate y(t(q)).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1090898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 10 = -6. Suppose 1 = -l - f, -2*w + 3*l = -17. Solve 7 + w = 4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/2*(-2064)\/12040?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47499540 a multiple of 1822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(17)*6 - (-1 + sqrt(153))) + 2 + -1*(sqrt(68)*-1*2)\/sqrt(4).\nAnswer: 3 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.9, -90, 0.8?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = -2*i + 200 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -49*s + 52*s - 14, 4*s + t - 17 = 0. Let r = -19 - -17. Let n(d) = -d**3 - d**2 - d - 1. Let x be n(r). Solve w - x = -s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 0.92.\nAnswer: 8.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 - 60. Find the second derivative of -6*h - 6*h**2 - 3*h**z + 26*h wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6 + ((-16)\/(-12))\/2. Suppose 0 = 3*h - 9, 4*h - 14 = -o*i - i. Let j be (-7)\/84 - i\/3. Which is greater: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 146. Let b be l(17). What is the highest common divisor of b and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2200*y + 26956 = 84156 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqpqqqbpeqpbbqpbeqp. What is prob of picking 1 q and 1 p?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 0 - (6 + -3 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 9*n**2 + 11*n + 2. Let f be g(10). Solve f = 4*s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64 + (32 - 30732\/(-962))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -222, -220, -218?\n\"Answer: 2*g - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297488271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2997 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1561822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qc when two letters picked without replacement from {x: 2, q: 3, c: 3, k: 7}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*3*10\/(-15). Let a be 0 + (24\/7 - x\/14). Solve 3*z - 4*n - 7 = -2*n, z + n - a = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 9. Suppose -3*o + 11 = 4*h, 6*h - 40 = h + 5*o. Suppose -4*g = 3*x - 21 - 4, 0 = h*x - 2*g - l. What is the closest to -0.1 in x, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.05 (b) 0 (c) -7 (d) 1\/3 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 - 2)*(-y**2 + 17*y - 17*y - 21*y) - y**2 - 3*y**2 + 2*y**2 + (-3*y - 2*y + 3*y)*(0*y + 3*y - 2*y) - y - y**2 + y - y + y + y**2.\nAnswer: -5*y**2 - 21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 + 24*p**2 - 144*p - 1620. Calculate y(-12).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-4))\/5 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1429331, 2858708, 4288081, 5717450, 7146815, 8576176, 10005533?\n\"Answer: -2*u**2 + 1429383*u - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1\/8, 5003, 2\/7, 3, 21 in ascending order.\nAnswer: 1\/8, 2\/7, 3, 9, 21, 5003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/278 and 73\/1251.\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2932 greater than -2935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -17. Let l = q - 0.05. Let t be 44\/121 + (-106)\/110. Which is the smallest value? (a) l (b) -0.1 (c) t (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 8 + 8)*(1 + 1 + 1)*(-45*b**2 + 45*b**2 - 28*b**3)*(3 + b - 3).\nAnswer: -420*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 0*n - 2*n + 5*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1920746\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 9*f, 5*l + 3*f + 27 = 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/10 and -29\/2654388?\nAnswer: 13271940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4287635519?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2 - 46*f + 529 = 0 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12322 and 7202108?\nAnswer: 439328588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -1. Let o(r) = -r**3 - 7*r**2 - 8*r - 1. Let p(c) = -o(c) - 3*s(c). Give p(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336520267 a multiple of 1189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41040 and 274968.\nAnswer: 2749680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, y: 4, v: 6, s: 4}. Give prob of sequence svv.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 150095, 1\/4, -1\/9, 2\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 4*w + 0*w + (0*w + w + w)*(3 - 3 + 2) + (-1 - 1 + 1)*(3*w - 2*w + w) - w + 0*w + 4*w to i + q*w and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 646 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/261 and 61\/4?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -332*j**4 + 26*j**2 + 23*j**2 - 49*j**2 - 208 wrt j.\nAnswer: -1328*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2063*y = -2076*y + 198172. Is y a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 + 3*a**2 + a**2. Let u(y) be the second derivative of 17*y**4\/6 - 7081*y. Calculate t(u(q)).\nAnswer: 2312*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = j - 0. Let p be 464\/56 + 4\/(-14). Let t(h) = -h**3 + 7*h**2 + 7*h + 11. Let m be t(p). Solve s - 2 = -m*a - j, 5*s + 19 = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxfozzg. What is prob of sequence qxf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 4 (b) -5 (c) -24 (d) -4 (e) 5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9559699117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8683095 is divided by 87708?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88*a**2*x**2 + 181*a**2*x - a*x - 2655*x**2 + 4*x with respect to a.\nAnswer: 176*a*x**2 + 362*a*x - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24 (b) 2 (c) -2\/9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8394 divided by -4.\nAnswer: 4197\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-6))\/5*9. Suppose 0 = -u*s + 3 + 6. Suppose -i + s = -0. Solve 0 = -r + i*r - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*d - 180 = 0, -4*n + 8*n = 4*d + 120. Let s be (0 - -15)*2\/n. Let k = 28\/55 - s. Which is smaller: 3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -75, -107, -139?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 62326*i - 4736773. What is h(76)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.6 - 40.55. Let b = 13.3 + p. Round b to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 + -98. Let q = 2 - 2.2. Let m = 0.7 + q. Which is the closest to 1\/2? (a) z (b) m (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*u**2 + 4077082*u + 40198280 wrt u?\nAnswer: -46*u + 4077082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from {e: 1, d: 5, y: 3, s: 4, q: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*((1167 - -2) + (14 - 13)) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -81, 74*j + q - 45 = 65*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2029680 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.17546 + -0.67546. Let z = 2 + -1. What is the nearest to z in 1, 0.3, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 690 - 668. Suppose -j + 95 - 10 = 0. What is the remainder when j is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1595 = 5*j + 6*j. What is the greatest common factor of j and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/(-22) + 12470\/13717.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346229678.\nAnswer: 2, 173114839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8*m + 30 = 0. Calculate the lowest common multiple of 156 and m.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-3\/20)\/(a**(-1\/9)*a*((a**(1\/2)\/a)\/a)\/a) assuming a is positive.\nAnswer: a**(29\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 7, -0.7, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40369593185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113*g**2*j*p + 12*g**2*j - 6*g**2*p + g**2 + 277*g*j*p - g*j + 36*g - j*p - 6*j wrt g.\nAnswer: -226*j*p + 24*j - 12*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) 132\/5 (c) -2\/7 (d) -4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -196*a + 12. Let g be s(-6). What is the greatest common factor of 16 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -13. What is the third smallest value in j, 0.01, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -55, 7, -4.2, 2\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 5:40 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*q - 5*p, -p - 10 = q - 3*q. Suppose -5*k = -3*x + 60, k - 3*k = -3*x + 60. Suppose -5*n - x = 4*r, r = -n - 4 - 1. Solve -q*d + 3*d = n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 0*s + 4*s)*(-1 + 1 - s + (2 - 1 + 0)*(-6*s + 2*s - s) + s - s + 3*s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, g: 1, a: 1, q: 2, u: 1, y: 1}. Give prob of picking 2 q and 1 u.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from fplftffppfplflpf.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/6))**(5\/3) assuming h is positive.\nAnswer: h**(-25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12021210 (base 4) to base 7\nAnswer: 133302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3012 (base 8) to base 14.\nAnswer: 7c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u**2 + 3*u - 3. Calculate t(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -244853 (base 9) in base 11?\nAnswer: -a1184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-1638)*-18*133*1\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t + 0*t - 7*t + 8*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + (sqrt(75) - (2 + sqrt(75))) + sqrt(75) + sqrt(75) + sqrt(75))*-1)**2.\nAnswer: -80*sqrt(3) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 5:27 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 0 + 0*j**2 - 1\/30*j**6 + 0*j**3 - 1\/6*j**4 + 2*j + 0*j**5. What is the third derivative of o(q) wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 3*m**3 - 5816*m**2 + 29 + 5816*m**2 + 0*m.\nAnswer: -3*m**3 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -1*(0 + 1). Let i = -8 - -5. Is 3 a factor of i - (-11 + 0 + f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -129*d + 134*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-30)\/7) + (-1022)\/3577\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, m: 1, v: 4, s: 3, y: 3, c: 2}. What is prob of sequence vscc?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11678877 to the power of 1\/3, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.59743mg in micrograms?\nAnswer: 14597.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -340 - -85. Let b = f + 1025\/4. Find the common denominator of b and 14\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5141081 times -2?\nAnswer: -10282162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(-1\/2))\/y)**44)**18)**(1\/19) assuming y is positive.\nAnswer: y**(396\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2164513 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 19931813?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15949567?\nAnswer: 821, 19427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146723378?\nAnswer: 2, 47, 151, 10337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**4\/12 - 5*p**3\/6 + 7*p**2\/2 - 3*p. Is s(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -677 + 638. Let w = -2361.92 + 2322. Let s = i - w. Round s to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1642613 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1579 - 1572) + (-3 - 0) + (-1 - -17)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/3)\/y)\/((y\/y**(-4\/3))\/y)*y**(-4)\/y**(-5) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/7, 3\/5, 3\/49?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.861 * -0.76.\nAnswer: -0.65436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 2*d + 4. Let j be c(-4). Let s = -6 - -3. Let r be ((-2)\/4)\/(1\/2). Sort j, r, s in descending order.\nAnswer: r, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8320 + -70?\nAnswer: 8250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(58\/(-145) - 36\/10). What is the fourth smallest value in 4, -23, -1, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wii when three letters picked without replacement from biwiw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 - 10*j - 5. Let f = 84 - 88. Let x be q(f). Suppose -4*m - 5*l = -4386, 5*m - x*l = 3*m + 2204. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00632631 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 + 3*d. Suppose b + 6 - 14 = 0. Let j(r) = 5*r**2 - 8*r. Determine b*u(i) + 3*j(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*q - 26, -4*t = 2*q + t - 40. Suppose -y - 4*m = -13, 2*m + m - q = 0. Which is smaller: y or -31\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2\/5, -46\/3, -1\/10, -0.44, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - -9345?\nAnswer: 9352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -26*n. Let y(u) = -2*u - 18. Let p(o) = 1. Let m(a) = 36*p(a) + 2*y(a). Determine t(m(z)).\nAnswer: 104*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/5 + 8153*a\/5 + 48954\/5.\nAnswer: -(a - 8159)*(a + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2*(-1)\/((-6)\/(-39)) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**3\/3 - 171. What is b(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 3:19 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1976, 3, -3, -1 in descending order.\nAnswer: 1976, 3, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3232\/34 - (-1)\/(-17) is divided by 74?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(1\/3 + 0). Which is the second biggest value? (a) 3\/4 (b) 0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**4\/4 - 7*z**3\/6 + z**2 + 6000*z. Let d(g) = -4*g**2 - 8*g + 3. What is -2*d(q) + 3*t(q)?\nAnswer: -q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -22*w**3 - w**2 - 2*w - 1. Suppose 6*h - 240 = 2*h. Suppose 3*o + 2*o = h. Calculate the smallest common multiple of o and c(-1).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1305 - 1.8315. Sort 2, z, -2\/9.\nAnswer: z, -2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmdbbirr. Give prob of picking 1 d and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from mlsfmbusu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*m + 6*m - 12*m + (4 - 7 + 1)*(0*m + m + m))*(-2 + 4 - 5)*(-1 - 15 + 1)*(3 - 2 + 0).\nAnswer: -990*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*w - 34658 = 0, 10*w = 9*w + 4. Does 55 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 4*j = -2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -19, 4, -26, 5 in decreasing order.\nAnswer: 5, 4, 0, -5, -19, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -0.0296\nAnswer: -3.9704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/3*12\/92 - 3?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 16885.\nAnswer: 50655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1831 + 5443\/3. Find the common denominator of p and (-48)\/(-108)*(-1341)\/24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.972436 rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 + 138 - (1 + 6 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/2074 and 7\/34.\nAnswer: 2074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-336 + 329)\/((-2)\/34). What is the highest common factor of 2176 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 10150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 61 + 91 = 5*g, 2*k + 2 = 5*g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71*o**5 + 19*o**2 - 2*o wrt o.\nAnswer: 4260*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - -25. Let q = 46 - o. Which is the third smallest value? (a) q (b) 3\/2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -17*u + 850. Calculate the highest common divisor of u and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w**2 - w + 4. Let i(r) = -1. What is 3*i(l) + v(l)?\nAnswer: 7*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - ((-6 - -5) + -4)) + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6145)\/(-11061))\/((-1)\/18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*((-3*sqrt(5103)*6)**2 + sqrt(5103))*-4*5 + -5.\nAnswer: -132269760 - 2160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45787517.44 rounded to the nearest 1000?\nAnswer: 45788000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**2 + 10*b + 2. Give n(-5).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06516 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 7:52 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3684\/55 + -1622553\/24310. Find the common denominator of 97\/10 and p.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (0 - -8) - (2 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2011950?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -107*m**2. Let r(d) = -4*d + 58. What is s(r(a))?\nAnswer: -1712*a**2 + 49648*a - 359948","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 2*q**2 + 12*q. Calculate i(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7326*x + 21971. Give i(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 262 and 912022.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a week in minutes?\nAnswer: 64260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-60)\/30)\/((-8)\/(-6)))\/((-5)\/4)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*p**3 + 7*p**3 - 19*p**3)*(10 + 23 - 14) - p**3 - p**3 + 6*p**3 + 4*p**2 - 4*p**2 - 2*p**3 + (2*p + 3*p - 4*p)*(4*p**2 - 5*p**2 + 2*p**2).\nAnswer: -472*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 5:56 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52237?\nAnswer: 52237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 8, 3, 5 in increasing order.\nAnswer: 3, 5, 8, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2000 and 2680.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 81. Suppose 0 = 2*t + 2*t - 56. Calculate the remainder when ((-22)\/n)\/(4\/(-410)) is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, y: 1, c: 1, l: 1, o: 1}. What is prob of picking 1 y, 1 l, and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2654912419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/37, -2\/9, -3, -0.5.\nAnswer: -3, -0.5, -2\/9, -2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 341825 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 17758 and 17764 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 23153580\nAnswer: -46307160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 - -74.5. Suppose 0 = -x + 2*n + 105, 0 = -3*x - n + 325 - 24. Let l = x - 704\/7. Which is the biggest value? (a) -3\/25 (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 18 - 6 = -5*d, 2 = 5*m - 2*d. Calculate the least common multiple of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 105 = -3*v. Suppose -k + v = 9. List the prime factors of 69\/(-9)*k\/(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 408 by -17.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.19853, -1\/2, -2\/7, -4, -2, 1\/7, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**5 - 563*a**3 - 437*a wrt a.\nAnswer: 40*a**3 - 3378*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/27*165\/176\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 2)*(2 - 4 - 1)*((3*f**2 - 3*f**2 + f**3)*(2*f + 3*f - f)*(2 + 3 - 3) + (-4*f - 11*f + 7*f)*(0*f**3 - 3*f**3 + 2*f**3)).\nAnswer: -144*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3 = -4*t + 13, 4*q = 4*t + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -693*q - 405394. Determine i(-585).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**5*z*z\/z**(-2\/65)*((z*(((z*z*z**(-11\/2)*z)\/z)\/z)\/z)\/z)\/((z*z**12\/z)\/z) assuming z is positive.\nAnswer: z**(-1231\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 34140 = 31754?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*m + 86*m + 32700 = 4*y, 8*m = 5*y + 52320. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/18*236\/(-590)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.35 + -0.05. Let s = 5\/79 + 83\/1185. Which is the nearest to s? (a) -0.16 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 + 25983*z - 25983*z.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 4*a - 1. Let p be i(2). Let u(v) = -52*v + 10. Let c be u(p). Let o = c - 143. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1708799756 to the nearest integer?\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 886949, 1773896, 2660843, 3547790, 4434737, 5321684?\nAnswer: 6208631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*j - 136*j + 2*h = 5, j - h = -10. Let i(w) = -w**3 - 14*w**2 + 11*w - 23. Calculate i(j).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 480\/400*((-280)\/(-12))\/(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.138118 + -1405\nAnswer: -1404.861882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 21*n**2 + 20*n. Let t be z(20). Suppose -u = i, 5*u + t*u + 18 = 4*i. Solve -4*w = -i + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**13*(j**(-12)*j)\/j assuming j is positive.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -455 divided by -5.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.72 - 1.37. Let u = 1.05 - i. Which is the biggest value? (a) -0.4 (b) 0.01 (c) 2\/5 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7934982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -28, -32, -34, -34?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9855 and 140805?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(9) + sqrt(9)*-2))\/(sqrt(891) - sqrt(891)*2).\nAnswer: sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a. Let f(v) = 8*v**2. Determine d(f(k)).\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -107\/60*o**5 + 3\/10*o**7 - 8*o - 3*o**2 + 0*o**4 + 0 + 0*o**6 + 0*o**3. What is the third derivative of l(i) wrt i?\nAnswer: 1512*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 2:19 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/18 and 83\/678.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 + 2*x + 6. Suppose 3*g - 5*g = 8. Let v be r(g). Let c = v + -21. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 39014 (c) -10 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*g**3 + 4*g**3 - 5*g**3 + (2 - 2 + g**2)*(4*g + 0*g - 2*g).\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 10*t + 48 = -3*t, -2*p + 5*t = 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 27 = 4*p, 16 = -2*p + 32*j - 34*j for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2*6.64\nAnswer: 13.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 + -1011?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1*(-2)\/(-26))*(-2912)\/1456?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnm when three letters picked without replacement from {w: 9, m: 2, n: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 5334*j + 5176*j + 2*j**4 + j**3 - j**2 - 4*j**4 to n*j**3 + v + x*j**4 + z*j + a*j**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**3\/3 - 17*f**2 + 145*f - 2551. Factor a(w).\nAnswer: (w - 29)*(w - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390*s = -392*s + 28. Calculate the greatest common factor of 147 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.4 - 7256.\nAnswer: -7247.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 891 + -666. Let s = -52 + i. Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7608*q*x**3 - q*x**2 + 2464823*q - x wrt x.\nAnswer: 22824*q*x**2 - 2*q*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -20*o**3 + 4*o**2 + o + 1. Let h be v(-1). Solve 13*i - 5*i - h = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 20, -18, -5 in descending order.\nAnswer: 20, -3, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 1 - 7 + (-8 + 0 + 1)*(4 - 4 - 1))*(44*v**4 + 3*v**3 - 18*v**4 - 25*v**4) to the form u*v**2 + t*v**4 + h + i*v + d*v**3 and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -11. Solve 3*a - 2 = c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 226175?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 - 117. Let r = 47 + k. Let y = 10 + -4. Calculate the highest common divisor of r and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + x**2 + 3*x**2)*(88*x**2 + 107*x + 52*x - 89*x**2).\nAnswer: -2*x**4 + 318*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(sqrt(19) + 1)**2.\nAnswer: -15 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2502272, -5004542, -7506812, -10009082?\nAnswer: -12511352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105.7894 - 1.7894. Sort -1, c, -2\/7.\nAnswer: -1, -2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11 - ((-66)\/3 + 9)) + (96 - -1). Solve -b = 15*n + 18*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 2:02 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - (-665)\/30 - (-63)\/(-54)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-6))\/(255\/306).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -475155*t**4 - 3395032 with respect to t.\nAnswer: -1900620*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 912 - 917.76. Let v = 8.76 + j. Which is the third biggest value? (a) 0.5 (b) v (c) 1\/3 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d - 8*d + 3*d)*(4*d + 0*d - 3*d) - 8243*d**2 + 3571*d**2 + 4170*d**2 to b + l*d + r*d**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 2:39 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 284*z**2 + 16275*z + 4951. Calculate p(-57).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1736\/11 + 158. Which is the nearest to 1\/3? (a) i (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-115)\/(-69)*(-1)\/5.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*u + y + 3, 8 = 2*u - 5*y. Let q(z) = -5*z - 2. Let i be q(u). Suppose d - 4 = 3*g, 3*d + g - i*g = 19. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*y**2 - 113*y**2 - 36*y**2 + 13*y**2 - 70*y**2 - 55*y**2.\nAnswer: -165*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q. Let k(s) = -8*s**3 - 4*s**2 - 6*s - 6. Let d be k(-2). Let n be 9\/d + 982\/12. Let p(o) = 82 - n + 6*o**2. Give p(a(j)).\nAnswer: 150*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d + 1. Suppose u = 2*o + 64, 2*o - 3*u = -0*u - 64. Let g be 50*(-9)\/(180\/o). Let f be g\/36 - (-4)\/(-18). What is k(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {m: 7, x: 4}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 - 9\/(-3) - -23. Suppose -4*s + 2*h + 0*h + 2 = 0, -h = 2*s - 7. Suppose 0 = -s*i + i + 80. Calculate the highest common divisor of l and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1070 - -13?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3280 + -2231. 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 twenty-one quarters of a millennium in months?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57192 by -4.\nAnswer: 14298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 11*h + 15. Let r(g) = -3*g - 5. Let z(v) = -7*r(v) - 2*w(v). Determine z(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543011026 divided by -1046?\nAnswer: -519131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2477 + 4383. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2. Let f(k) be the third derivative of k**7\/1260 + 7*k**4\/24 - 4*k**2. Let z(r) be the second derivative of f(r). Calculate a(z(s)).\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39929 divided by -82.\nAnswer: 39929\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (0 - (2 + 4 + -8) - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13899 - -29262. List the prime factors of y.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1877*f = -1879*f - 2*u - 14, -4*f - 5*u = 32 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10.1482417 and -3.\nAnswer: 7.1482417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2\/7 + 2270*z\/7 + 2976628\/7 = 0.\nAnswer: -778, 1913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 7 = 5*i - 3, 0 = -4*a. Let u(w) = -1121*w**3 + 2*w**2. Let b be u(i). Round b to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57060529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-309)\/(-9))\/((-2)\/(-36)*6). Suppose 477*c + 3914 = 479*c. What is the highest common factor of c and z?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x = 9*x + 64. Solve x*q + 6*w = w + 8, -3*w = -4*q - 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/2 (b) 3\/8 (c) -42 (d) -73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**3 - i**2 - 14*i - 6. Let m(c) be the second derivative of -c**5\/4 - c**4\/12 - 5*c**3\/2 - 7*c**2\/2 + 1346*c. Give 6*m(o) - 7*r(o).\nAnswer: -2*o**3 + o**2 + 8*o","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5\/(-450)*5)\/((-2)\/(-280)) and 53\/325.\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -399*a + 394*a + 15. Which is smaller: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2175157, 4350324, 6525493, 8700664, 10875837?\nAnswer: 13051012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 a factor of 78891848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120211220 - 0?\nAnswer: -120211220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 77*m**2 - 2*m + 1. Let y be t(1). Let a = 44 - y. Let g = a - -121. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1753.5449 to one decimal place.\nAnswer: 1753.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = -b + 10*a - 14, 4*b + 28 = -3*a. Let y(c) = c. Let g(s) = 2*s**2 + 13*s - 13. Let f(l) = g(l) + 3*y(l). What is the tens digit of f(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/23)*k)\/k**(-27))\/(k*(k**(-1\/13)\/k)\/k)**(-43))**35 assuming k is positive.\nAnswer: k**(-192500\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2824, -8568, -17242, -28846, -43380, -60844?\nAnswer: -81238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1426 divide 1202668436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2421 <= 1391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 + 84208236?\nAnswer: 84208236.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.3 - 67.9. Let s = 3.4 - o. Let t = 58.0351 - s. Round t to three dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate x**3 + 303*x**2 + 4*x + 840 with respect to x.\nAnswer: 3*x**2 + 606*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - a**2 + 28 - 47.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230211330033 + -1?\nAnswer: -230211330100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {v: 2, h: 6, u: 2, e: 6, p: 3, s: 1}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-49)\/(-14))\/(1\/2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -0.1 (b) -0.31 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2347201 to the power of 1\/2, to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1905 + 1898 + 1\/(2\/(-12))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71563 minus -2.336785707?\nAnswer: -71560.663214293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**2 + 13 + 11 - 22 + 10*w**3 as t*w**2 + h + m*w**3 + u*w and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 3, 74, 0 in increasing order.\nAnswer: -4, -2, 0, 3, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7198 is divided by 135?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 63180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + -2. What is the units digit of d\/(-2) + (-2)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 82. Let q be 8\/5 + (-14)\/h. Suppose b + q*g - 20 = 0, b + 0*b + 3*g - 24 = 0. Solve -3*z + 0*z = -b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h**5\/5 + 963*h**4\/5 + 15066*h**3\/5 + 7293*h**2\/5 = 0.\nAnswer: -143, -17, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 27*k = 152 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*j**2 + 1)*(47*j + 31*j - 13*j) as p + u*j**2 + n*j + h*j**3 and give h.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 8*s - 5. Let m be d(7). Suppose 2*g**4 + 0*g**2 - 2*g**m + 6*g**5 - 6*g**3 + 0*g**4 = 0. What is g?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/21 + (-11)\/(-3). Suppose -a*y + 590 + 43 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -798*p + 399*p + 398*p - 6. Let n(c) = -c. What is n(d(a))?\nAnswer: a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.916 rounded to one decimal place?\nAnswer: 13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1*4 + (-1683)\/(-459)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/207 - 187\/828. Put a, -0.5, -27 in descending order.\nAnswer: a, -0.5, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649142.\nAnswer: 2, 13, 24967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 143308771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11837.3535s in weeks?\nAnswer: 0.01957234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 3. Let d = 5.228 + 0.072. Let q = d + h. Is -0.1 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 14 = 2*h, 54*f - 3*h + 15 = 57*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 6*d**2 + d + 26. Let m be h(5). Calculate the greatest common factor of m and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 9 = -2*t. Solve -7*l + t*l = -4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 33504*m**3 - 2266*m + 297. Let f(h) = -22336*h**3 + 1511*h - 212. Let r(p) = 7*f(p) + 5*g(p). Find the second derivative of r(z) wrt z.\nAnswer: 67008*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/11 - 1074*s**2 - 82612*s\/11 - 70800\/11 = 0.\nAnswer: -5900, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4033406 divided by 2016703\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -25*c + 6. Let b(m) = m**3 + 3*m**2 - 5*m - 6. Let p be b(-4). Is 15 a factor of h(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**4\/12 - u**3 + 3*u**2 + 18*u + 377. Let l = 8 - 13. What is y(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 3*n + 12 to the form r*n + v and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(162))**2 - (-1 + sqrt(162)).\nAnswer: -9*sqrt(2) + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -15, 18\/11, -7 in descending order.\nAnswer: 25, 18\/11, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1. Suppose 7*p - 2*o = 3*p + 20, p + 13 = -4*o. Let s = 16291 + -16290. Let i(m) = -3*m + 3. Calculate p*z(w) + s*i(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*c**2 + 106*c**2 + 9 + 100*c**2.\nAnswer: -5*c**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 17. Suppose a*h = 24 + 26. What is the second derivative of -4*k - 10 - 2*k**2 + h wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127731992 divided by -4.\nAnswer: 31932998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/44*(-64)\/20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -2*p. Suppose -p = -h + 8. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from aawnnnawrwkgwaww?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 85514929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 1\/8*f**4 + 0*f**3 + 0 + f**2 + 0*f. Let h(s) = -s + 1. Let c(u) = -u - 7. Let n be c(-5). Give n*h(z) - t(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15250*p - 462516 = 650734 for p.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 334 in 0.5, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19864 divided by 23?\nAnswer: -19864\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148338 is divided by 56.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/13 (b) -2\/17 (c) -8\/7 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2867 or 2868?\nAnswer: 2868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20*d**2*p + 6*d**2*w - 1866*p*w - w wrt d?\nAnswer: 40*d*p + 12*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52345.91 millilitres in litres?\nAnswer: 52.34591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 96, 100, 106, 114, 124, 136?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2775*m**2 - 3153869*m + 3153869*m as h*m**2 + n*m + p and give h.\nAnswer: 2775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 5*o**4 - 125*o**3 + 1000*o**2 - 3100*o + 3120 = 0?\nAnswer: 2, 4, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.62 - -1.24. Let h = k + 0.48. What is the nearest to -7 in h, 2\/9, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1*3\/6\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -58. Let s = -1410 + 1495. What is the remainder when s is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 1012\/1720677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/930250 and 57\/250.\nAnswer: 930250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 + 4 + -8 + 11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -121\/3 + 42. Suppose -4*l - 3 = 3*h, 3*l - 4*l = 4*h - 9. Let a be (-31)\/11 + (0 - l). What is the third smallest value in a, c, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1195909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (75\/10 - 3)\/(186\/8). Suppose 2 - 1 = u + 3*q, -u = 4*q. Suppose 3*p = -3*r - 2*r - 15, -4*p - u*r = 12. Which is smaller: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -f - 86223, 3*t - 57320 = 2*f + 7341. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2829 - -6213. What are the prime factors of k?\nAnswer: 2, 3, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-4 + 1 + 13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-38)\/4)\/((-3)\/6). Suppose 2*t = -3*o - 15, -3*t - 4*o - d = 2. List the prime factors of 15\/4 + t\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 263 and 0.74.\nAnswer: 263.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - q + q)*((2 - 2 + 2)*(-1 - 2 + 4) - 6 + 1 - 6) in the form x + c*q and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -10*p. Let m(b) = 33*b. Give o(m(d)).\nAnswer: -330*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3051.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/(-1)*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.149 - -64.851. What is the closest to o in -0.1, 1, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.07, -2\/5, 3, 0, 11\/3, 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -257 and -2632525?\nAnswer: 676558925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420471 is divided by 2564.\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 7) in base 9?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 1, n: 1, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.064618 - -13706077\nAnswer: 13706077.064618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.497 + 0.48. Let c = a + 1.017. Let t = -321 - -623\/2. Is c at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-60)\/1*2\/(-4). Let m = -50 + p. Is -586*(m\/(-8))\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 0 + sqrt(72) - sqrt(72))*-1 + (5 + 1 + sqrt(72))**2.\nAnswer: 66*sqrt(2) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 6 = 2*y. Suppose -20 = 5*w - 10*w. What is the second derivative of -y*s - 2*s + 6*s + s**w wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 251 = -3*n, 0 = 425*n - 430*n + 4*m + 333. Solve 71 = -2*t + n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -33145964.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1701254?\nAnswer: 2, 41, 20747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 39 = -4*t. Let v be (21 - 16) + (9 - 5) + -5. Solve v*g - 9 = -t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/21 or -17251851?\nAnswer: -17251851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m + 8*m = 3*m - 216 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -46. Suppose -a*i + 27 = i - q, -5*q + 33 = i. Calculate the remainder when 25 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3 + 1884247*s**2 - 7536976*s + 7536972 = 0. Calculate s.\nAnswer: 2, 1884243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*3\/((-19)\/((-380)\/(-45)))*1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-63)\/(-35))\/(156\/(-2080)))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664192.\nAnswer: 2, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t. Let n be k(-1). What is the greatest common factor of 27 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18134 + -25774. Is (16\/(-20))\/(16\/s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 606825 (base 9) to base 10\nAnswer: 359339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 13*h**2 + 29*h + 17. What is r(11)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/5, -1\/44, -63, -4 in ascending order.\nAnswer: -63, -4, -2\/5, -1\/44, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1211343 (base 5) to base 9\nAnswer: -34147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.79 + 0.8. Let j = 0.03 - d. Let g = j - 2.02. What is the nearest to -1 in 1, g, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/3, 19, -4, -2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7ff7 + -5?\nAnswer: 7ff2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -258, -263, -270, -279, -290?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102010 (base 3) to base 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2 + 5. Let z = u - -10. Let a be 2 - 2*z\/14. Sort -0.5, 5, a in descending order.\nAnswer: 5, a, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 28 - -7*(2 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - ((22 - 2) + -11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*h + 6*h - 476. Let p(i) = -180*i - 179. Is p(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7321\/4 - 9176\/5. What is the common denominator of -1 - ((-1323)\/30)\/7 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244 < 40051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1296471559.\nAnswer: 1296471559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-4) - 10 - 1. Let j be 45\/12 + (-3)\/q. Suppose j*p + h - 61 = 0, -20 = -0*h - 4*h. What is the least common multiple of p and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4\/13 - 40*x**3\/13 - 102*x**2\/13 + 720*x\/13 = 0 for x.\nAnswer: -15, -8, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 7*s**2 + 2*s**2 - 6*s**2 - 4*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from {o: 7, s: 4, y: 3, w: 5}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**4\/24 - 11*j**2. Let l(u) = -2*u + 6. Let v(r) = 2*r - 5. Let a(b) = -5*l(b) - 6*v(b). Determine k(a(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r**2 + 8*r + 17. Let w(c) = -2*c**2 - c. Let b(g) = k(g) + 6*w(g). Let a be b(0). Solve 3*j = -5 + a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 minus 3014188474?\nAnswer: -3014188489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 + -56. Factor y*i**5 - 203*i**3 + i + 2*i - 12*i**4 + 221*i**3 - 12*i**2.\nAnswer: 3*i*(i - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15930 and 354?\nAnswer: 15930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 501.7008 meters in micrometers?\nAnswer: 501700800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2*d - 83, 0*c - 4*c + d = -64. Suppose 0 = c*u - 16*u - 2*r + 43, 2*u - 88 = -2*r. Calculate the greatest common divisor of u and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17259 is divided by 126?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223 = -k - 16*r + 11*r, 4*k - 777 = 3*r. Suppose -4*f + 89 = 1. Calculate the highest common divisor of k and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10102 + 1020122120?\nAnswer: 1020112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311 = -15*s - s + 327 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d**3 + 2*d**2 + 2*d - 1. Determine l(-2).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -256536198 by 9.\nAnswer: -28504022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/39)\/(18\/54)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.1 + -1311702.\nAnswer: -1311721.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69.8211 or 0.1?\nAnswer: -69.8211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11048203 + -11048210.00000048. Let x = 8.3 + -1.3. Let n = t + x. Round n to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 - 7*g**2 - 10*g + 1. Give n(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 2*y**3 - 9*y**2 + y**3)*(2*y - 2 + 2).\nAnswer: -2*y**4 - 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4179*9.\nAnswer: 37611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110210 + 11?\nAnswer: -1110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246 + -230 + 0 + (3 - 6 - -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**2 + 32*q**2 - 13*q**2)*(2*q - 4*q + 13*q) + 20*q**3 + 80*q**3 + 11*q**3.\nAnswer: 254*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*d**2 + 31*d**2 + 8*d**4 - 65*d**2 + (3 + d - 3)*(5*d**3 + 6*d**3 + 4*d**3) to w*d**4 + t*d**2 + h*d**3 + p + m*d and give w.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/3)\/(1216\/(-60)). Let u = s - -6227\/2280. Find the common denominator of u and -7\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m - 3*g = -29, m + 5 = 5*g. Suppose -6*j = -m*j + 48. What is the units digit of 42\/j*11*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 + 1422*w.\nAnswer: 2*w*(w + 2133)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 25179084.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -4. Suppose 10 = c*p, 3*z + p - 17 = -3*p. Solve -4*v - 1 = -z*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(110))\/(sqrt(10) + sqrt(160)*3) - (sqrt(1584) + (-5*sqrt(1584))**2 - sqrt(11) - (2 + sqrt(1331))).\nAnswer: -39598 - 4*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/12084 or 0?\nAnswer: 1\/12084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 435351?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 4, 16, 10, 108 in descending order.\nAnswer: 108, 16, 10, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -17, 2\/15 in ascending order.\nAnswer: -17, 0, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -25*q + 88 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43449968 and 54312460?\nAnswer: 217249840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 0.158 (c) 4 (d) 86 (e) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 35*a**5 + 21 - 181 + 80*a**2 - 1350*a**3 + 1070*a**3 - 10*a**4 + 560*a = 0?\nAnswer: -2, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 65*q - 265. Give x(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 2336954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 290293979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*g + 2*g + 132 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1848 is divided by 103?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28\/171 - -9467\/56772. Let b = a + -1339\/3652. Find the common denominator of b and 15265\/(-344)*2\/5.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -876, 1\/4, 23\/2, 0.1 in increasing order.\nAnswer: -876, 0.1, 1\/4, 23\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-25))\/(7\/35)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 571 or 583?\nAnswer: 571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 271486*w**2 - 34279*w.\nAnswer: 542972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 29*h - 70. Let t(r) = -11*r**2 - 172*r + 422. Let c(b) = 3*t(b) + 17*w(b). Factor c(v).\nAnswer: (v - 19)*(v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0020756 to four decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112\/9 + 124\/9. Let v(m) = -2*m - 19. Let d = -57 + 50. Let t be v(d). Sort x, t, 0.4 in descending order.\nAnswer: x, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*p**2 - 1530*p + 1530*p)*(-3*p**3 - 4*p**3 + 6*p**3).\nAnswer: -22*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by -12?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*(1 + sqrt(1372)) - (2 + sqrt(1008) + 2*sqrt(7) + 5)**2).\nAnswer: -1420 - 182*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0029646 rounded to five decimal places?\nAnswer: 0.00296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 16 - 4*j**2 - 5.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9, 2 in decreasing order.\nAnswer: 3, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1008)\/(-160) - 6)*28*(-5)\/(-3). Solve 0 = 5*s - p, 5*p + 44 = -5*s + x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5227?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 47c9d (base 14) in base 4?\nAnswer: 222310003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 3 - 1) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16 + (5 - 11))*(312\/(-32) - -10). Which is the nearest to 0.1? (a) -2\/7 (b) w (c) 5 (d) 3\/22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7 + -15.3. Let f = j - -18. Which is the third smallest value? (a) -0.4 (b) 0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 p when three letters picked without replacement from {h: 1, p: 2, s: 13, e: 1}.\nAnswer: 13\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 1. Let o be 8\/(-14)*(-189)\/54. Let n(w) = -4*w**3 - 6*w**3 + 4 + 14 - 4*w**3. Calculate o*n(f) - 36*k(f).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24570 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-165)\/(-3))\/11).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/238 and -1\/16.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 3*y**2 - 14*y - 3. Let r(l) = -l**2 - 78*l - 438. Let d be r(-6). Give g(d).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 22344?\nAnswer: 22344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*f - 20 = 0, l + 2*f - 12 = 0. Suppose 5 = 2*c + t, l*c + t - 12 - 3 = 0. Solve 4*m = -j - 24, c*m = 3*j - 2*j - 21 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*a, 4*w - 3*a + 1 = 12. Let g(k) = 2*k**3 - 2*k**2 - 3*k + 2. Let q be g(2). What is the derivative of 2 + 1 - 2*f**q + w*f**4 wrt f?\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-2 - 3*b - 1 + 4*b)*(-227*b**2 - 31*b**2 + 7*b**2)*(3*b - 3*b + b**2).\nAnswer: -251*b**5 + 753*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 4, 2, -4 in descending order.\nAnswer: 4, 3, 2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/3)\/(14\/21). Let n = 37\/2 + -19. Is b at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -19 (b) -16\/27 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 536011, 536045, 536139, 536323, 536627?\n\"Answer: 5*k**3 - k + 536007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 0.4, 3\/4, -0.5, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1)*(0 - 1 + 0)*(2*b - 3*b + 2 + 2*b).\nAnswer: -3*b - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 37296818?\nAnswer: -1\/2868986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 16. Let j be s(-13). What is the second biggest value in j, 4, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1535 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**2\/5 + 438222*t\/5 - 16003210107\/5 = 0.\nAnswer: 73037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4\/7, 1\/4 in descending order.\nAnswer: 12, 1\/4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(190) + 6*sqrt(190)*-3 + sqrt(190)))\/((-5*(sqrt(10) - (sqrt(10) + sqrt(30)\/sqrt(3))) + sqrt(10))*-3).\nAnswer: 32*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 10 = 5*v, -o - v - 3 + 31 = 0. Suppose 3*w + o = 8*w. Put 0, -2, w in decreasing order.\nAnswer: w, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 9:14 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -201313114130?\nAnswer: 201313114134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**3\/6 + 15*f**2\/2 + f. Let u = 34 + -23. List the prime factors of q(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2091429.\nAnswer: 3, 232381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13688034 is divided by 1881.\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -x + m + 34, -3*x + 5*m = -102. Let b be -2*32 - (-4)\/(-4). Let l = -31 - b. What is the greatest common factor of l and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -30 (c) 11760\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -538129914 and -6329?\nAnswer: 538123585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 31738.8 - 1.72186\nAnswer: 31737.07814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 4*i**2 - 21*i + 7. Let w(s) = -23*s + 62. Let z(h) = -11*k(h) - 4*w(h). Is 5 a factor of z(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l - 19*l + 4*l - l.\nAnswer: -31*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 37. Determine y(0).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 9*s**2 - 1. Let b be v(-2). Suppose z - 6*z + b = 0. Let c(f) = f**3 - 7*f**2 + f + 5. What are the prime factors of c(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/9 - -1) + (-11)\/33. Let y(g) = g**3 - g**2 + 10. Give y(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x**2 + 26*x + 64. Does 11 divide a(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ataaaaaaattaaa. What is prob of sequence ta?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 + 67. Sort 4, 3, -3, b.\nAnswer: -3, b, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 0*j**2 + 2 - 2*j - 2*j - 4*j**2 + 6*j. Let n(r) = 17*r**2 - 9*r - 9. Let k(t) = -9*i(t) - 2*n(t). Let g(d) = 2*d**2. Determine k(g(s)).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26185820*w**3 - 26185818*w**3 - w**2 + w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5900 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 1 - 52\/(-26). Suppose 2*q = -q. Solve q = d*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5888*q**3 - 2660*q**3 - 10418*q**3.\nAnswer: -18966*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3241753115.\nAnswer: 5, 19, 34123717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z + 2. Let t(p) = -20*p - 5. Let i be -5 + (8 - 7) + 1. What is i*t(m) - 8*q(m)?\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.043 and -3240.822363?\nAnswer: 3240.779363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 10 and 0.20625.\nAnswer: 10.20625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*s + 880 = -153*s - 115*s for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 16*u**2 - 60*u + 60. Let c be k(19). Solve -c*q - 95 = -74 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 10*x - 1001*x**3 - 12*x**2 + 18 - x**2 + 1002*x**3. What is l(12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = 0, 2*w - 3*w = -v + 6. Let z = 145 + -135. Suppose v*n = z*n - 48. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*s + 73*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 4*d**2 - 2662*d + 5354*d - 2692*d.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*4*39\/(-52). Sort a, -6, 0 in descending order.\nAnswer: 0, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -24, -4 in decreasing order.\nAnswer: 1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -549\/4 - -136. Let b = -14.1 - -14. Put 1\/7, d, b in descending order.\nAnswer: 1\/7, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 533 divide 1002923181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135032 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10773 - -366213\/34. Let i = 566327\/3 + -188764. Find the common denominator of i and r.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((30\/(-6))\/(15\/(-18)))\/(0 + 2). Sort -3, 353, f, -4 in ascending order.\nAnswer: -4, -3, f, 353","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwhwhhhhhhhhhhhhhhhw. Give prob of picking 1 h and 3 w.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t + 3*t)*(-5*t + 2*t + t)*(7662*t**2 - 80*t + 143*t - 63*t).\nAnswer: -45972*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + b + 10 - 2 = 0, 2*v + 8 = -2*b. Let z be -5 - ((-156)\/21 - v). Factor -3\/7*s + 0 - 3\/7*s**4 + 3\/7*s**3 + z*s**2.\nAnswer: -3*s*(s - 1)**2*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 296, 599, 904, 1211?\nAnswer: 1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h - 10. Let i(t) be the third derivative of -t**4\/24 + t**3\/6 - 4*t**2 + 1. Calculate -5*i(d) - q(d).\nAnswer: d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3377*d**3 + 4*d**2 - d - 137510.\nAnswer: 10131*d**2 + 8*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*z = -35, -4*r + 82 = -3*z - 58. Calculate the common denominator of -35\/33 and (-14)\/r - 287\/120.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 2*m**2 - 8*m + 26. What is the remainder when 92 is divided by h(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**4\/12 + 7*a**3\/6 - 5*a**2\/2 - 2*a. Let z(k) = -7*k**3. Let n be z(1). Let i be x(n). Put 5, 0, i in increasing order.\nAnswer: i, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b - 4. Give a(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Let v(l) be the third derivative of -1\/60*l**5 - 5\/6*l**3 + 24 - 3*l**2 + 7\/24*l**4 + 0*l. What is 5*q(o) - v(o)?\nAnswer: o**2 - 2*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.37 - 0.68. Let f = r + -0.59. What is the second biggest value in -1, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941664389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**2\/2 + 5*t - 1. Let c be u(5). Calculate the common denominator of (202\/12)\/(c\/(-6)) and 81\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (sqrt(2736) + -1)**2 + sqrt(2736))*-3.\nAnswer: -8217 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 295.29279413 rounded to 2 decimal places?\nAnswer: 295.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-6))\/(4\/(-72)*-6). Solve -5*i - 21 = -4*y, p*y - 8 = 4*i + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 14 = -3*m, -2*m - 16 = 2*n - 6*m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2245 and 36369?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1 = h - 14, -6 = 3*l. Suppose 0 = h*y - 3*b - 1 - 3, -4*b = -5*y + 2. Suppose -5*n + 87 = -3*z, 0*n + 4*n - y*z = 68. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/371 and 39\/10123.\nAnswer: 70861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-616)\/(-165) - (-91)\/(-65). Determine n so that 1\/3*n**3 + 11\/3*n - c*n**2 - 5\/3 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 + 124406?\nAnswer: 124363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0803, 84, 4, 1, -5 in increasing order.\nAnswer: -5, -0.0803, 1, 4, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13129?\nAnswer: 19, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 35*z**2 + 68*z - 36. Is d(36) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 41 = d. Let x = 52 + d. Solve x + 4 = -5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 2. Let k be a(1). Let v = k + -1. Suppose v = -0*l + 4*l. Solve -m + 3 = -l*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 172866*j**3 + 691440*j**2 - 691432*j.\nAnswer: 2*j*(j - 86429)*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 11*y - 864. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4\/5, -4.\nAnswer: -6, -4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9560733?\nAnswer: 3, 7, 13, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from hxxnggxxxhxxxghxgx?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -9*a + 20, -14 - 4 = -3*x - 35*a + 58 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 - -74. Let a be j\/(-1)*((-42)\/9 - -4). Sort -3, a, -2 in descending order.\nAnswer: a, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 5629\/(-390) + (-5)\/(-6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118414249.\nAnswer: 73, 421, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*j**2 - 6*j**2 - 15*j**2 + 4 + 2*j + j - 2*j**4 + 6*j**4 to the form m*j**2 + i + h*j**4 + g*j**3 + p*j and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863 is divided by 106?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20649618 divided by -2\nAnswer: 10324809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*k + 62168 = 838*k + 398*k + 17812 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 - 0) - (-27 + 34).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 7452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*l = -6, -4*q + 4*l - 6 = 6*l. Let f be 3 - (-1 - 1\/q). Suppose 0 = -f*g + 30 + 24. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695 + 1293 = 14*x. Suppose 7238*i - 101 = 7250*i - 365. What is the smallest common multiple of x and i?\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2390 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -497, 50, 2, -1 in increasing order.\nAnswer: -497, -4, -1, 2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -622*o - 3. Let v(f) = -14*f**2 + 2*f. Calculate v(z(g)).\nAnswer: -5416376*g**2 - 53492*g - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -13*m - 4. Let h(g) = g. Let s(v) = -6*h(v) - r(v). Let u = 359 + -350. Let y(b) = -13*b - 9. What is u*s(q) + 4*y(q)?\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**4\/24 + y**3 + 7*y**2. What is the remainder when 1309\/(-68)*1*-4 is divided by w(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -908.2?\nAnswer: 908.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 608*i**2 - 201*i**2 - 209*i**2 - 91*i - 196*i**2.\nAnswer: 2*i**2 - 91*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9*i**3 - 11*i**2 - 50*i - 180. Let f be r(-4). Solve -428 + f = -8*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (698\/4)\/(-3 + (-30)\/(-12)). What is the tens digit of (w\/(-2))\/(-6*(-9)\/108)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 0)\/((-4)\/6). Factor 2*w**4 - 2*w**5 + 2*w**3 - 3*w**b - w**5 + 2*w**5.\nAnswer: -w**3*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*j**3*m**2 - 452*j**3 - 213*j**2*m - 225*j**2 - 13*j*m**2 wrt m?\nAnswer: 16*j**3*m - 213*j**2 - 26*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*sqrt(1700) + sqrt(1700) - (0 + (4 + sqrt(1700))**2).\nAnswer: -1716 - 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -374200 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 5*x + 2. Suppose 0 = -6*i - 40 + 400. Suppose -4*z + 8 + 12 = 0, -3*z = 5*v - i. Calculate the lowest common multiple of v and w(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 316 - 306 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*r = -2828, v - 944 = -19*r + 20*r. Suppose -t - 710 = 5*x - 8*x, 0 = -4*x - 2*t + v. What are the prime factors of x?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, -947, -4, 2624\/7, -2\/11, 3?\nAnswer: 2624\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/11 - 201846*x\/11 + 403684\/11 = 0.\nAnswer: 2, 100921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 - 217*o**2 - 224*o - 599. List the prime factors of w(110).\nAnswer: 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 217909, 217681, 217453, 217225?\n\"Answer: -228*b + 218137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5101.4 - -5101. Which is the fourth smallest value? (a) 0.138 (b) -2\/9 (c) q (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 59 (b) -2\/201 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 25.3.\nAnswer: 101.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 4, 2*j - 5006*i = -5002*i - 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115404?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.21 + 0.01. Let m = -2 - -2.3. Which is the nearest to 1? (a) t (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 3*d - 7. Let b be n(-5). Suppose l = b*l - 3*o - 10, 2*l - 4*o = 12. Find the common denominator of 118\/18 + l\/4 and 79\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 2\/7*h**3 - 3\/14*h**2 + 0*h - 3\/28*h**4 + 24. Solve f(z) = 0 for z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**2 - 5*j**2 + j**2)*(2 - 3*j - 2) + (-2 - 2*j + 2)*(0*j**2 - 5*j**2 + 3*j**2) - j**2 + j**2 - 3*j**3 - j + j + j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -4, 4, -114\/10991, 2\/19 in descending order.\nAnswer: 4, 2\/19, 0.1, -114\/10991, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/8 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/12 - (-4)\/(-16))\/1. Let a(b) = -b**2 - 3*b + 2333. Is a(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 4\/7, -0.2, -3.2886, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (853 + 689 - 425 + 338)*(2 - 2 + h**3).\nAnswer: 1455*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 740, -2\/3, 2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 - 10*r**2 + 39*r + 138. Calculate s(-8).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express s + 4*s - 3*s + 2 - 2 + 2*s + (-2 + 3 + 0)*(s - 2*s + 0*s) + (4 - 1 - 2)*(-22*s + 4*s + 6*s) in the form x + d*s and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.18, -339, 1\/2, -2\/9?\nAnswer: -339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 27*z + 17 = 0. Let t(y) = 1. Let v(g) = -g - 1. Let o(s) = s + 9. Let m(f) = o(f) + 2*v(f). Calculate z*m(i) - 5*t(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.2902 times 0.06\nAnswer: -0.017412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 282 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*h + 115812 = -81628. Is 37 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35\/44 + 6\/11. Which is the biggest value? (a) 2.7 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 27*m + 618. Let v be j(-14). What is the highest common factor of v and 1560?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.376394 plus -99676?\nAnswer: -99674.623606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4115.\nAnswer: 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - 1.8. Suppose 5*v - s + 19 = 0, -2*v - 17 = -3*s + 1. Let d be ((-10)\/v)\/(85\/102). Which is the second smallest value? (a) d (b) o (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3423802117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-80 + -1)*(-95)\/285?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 675187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326121 (base 12) in base 6?\nAnswer: 213040441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-21)\/7)\/(6\/(-4)). Suppose -5*k = -s*l - 10*k + 8, 3*l + 5*k = 2. Let b be ((-50)\/l)\/((-2)\/(-6)). What is the greatest common factor of b and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 38. What is the units digit of l(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(35)*2 + sqrt(35))\/sqrt(5) + sqrt(252)*-2).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/124*(-32)\/4)\/((-15)\/(-12))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263*c**2 - 247*c**2 + 507*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 7. Let n(y) = -1. Let r(v) = -g(v) - 5*n(v). Let h = -11 - -6. Determine r(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*t**5 + 48*t**2 - t**3 + t**3 - 60*t**2 wrt t?\nAnswer: 1380*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 4074603*z**2 - 61118820*z.\nAnswer: -z*(z + 15)*(z + 4074588)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 6:21 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2\/5*j**2 - 4\/5*j + 0 + 6*j**3 + 14\/5*j**5 - 38\/5*j**4 = 0?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444351.\nAnswer: 3, 73, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278 - 284 = -2*r. Suppose -r*q + 20 = 7*q. Suppose -5*h = q*j - 11, 3 = -4*j + 5*j + 2*h. Let k(p) = -p**3 - 8*p**2 - 9*p - 5. Calculate k(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 - -78. Let r(t) = 11*t**2 - t - 1. Calculate r(k).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(1 - (-38)\/(-34)). Suppose w - g = -3*s + 3, -4*w = 2*s. What is the units digit of s + (-3)\/9*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-5)*w*w**(-10)\/w)\/(w**(-2\/53)*w\/w**(2\/7)))**26 assuming w is positive.\nAnswer: w**(-45110\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1702624 + -30?\nAnswer: 1702584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 - ((2 - -2) + (-3 - 7)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 5 - (7 + -5 + -15)) + 39\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1382*z**2 - 6126*z**3 - 1382*z**2.\nAnswer: -6126*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 6*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4515125 is divided by 4515056?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnbnnlnnbnnnnsn. What is prob of picking 1 n, 1 b, and 1 l?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 2*g**3\/3 + 2*g**2 + 4*g + 3. What is the tens digit of f(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00748680146 to seven dps.\nAnswer: -0.0074868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -695*b**3 - b**4 + 702*b**3 - 2*b**4 + 11*b**2 to j*b**3 + s*b**2 + n + v*b**4 + c*b and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -103*t - 115*t - 533 - 557 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122112020 + 10?\nAnswer: 122112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/3*(-14)\/(-28))\/(20\/(-304))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25*-1470\nAnswer: -36750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r - 4. Let d(a) = -a**3 - 5*a**2 + 3*a + 10. Let b be d(-5). Let m(k) = 1. Let j(t) = b*m(t) - y(t). Let w(o) = 2*o + 1. What is -3*j(p) - 4*w(p)?\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 19*z - 233. Calculate c(11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -3\/4, 4, -3\/2, -147?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 603188625 and 4875?\nAnswer: 4875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**5 - 12*o**4 - 12*o**3 + o**2 - 5*o + 5. Let g(s) = -6*s**5 - 18*s**4 - 18*s**3 + s**2 - 7*s + 7. Let q(t) = -7*a(t) + 5*g(t). Factor q(u).\nAnswer: -2*u**2*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*u**2 + 144*u**2 + 1 - 1.\nAnswer: 397*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2464)\/(-978) + 434\/42 + -13. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j. Suppose b + b + 26 = 0. Put b, j, -3 in descending order.\nAnswer: j, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 + h**3 - h**3 + (-h**3 - h**2 + h**2)*(330*h**2 + 315*h**2 - 677*h**2).\nAnswer: 34*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, m: 9}. Give prob of sequence cm.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -3.4?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -17134*m**2 + 3*m + 2. Let y(t) = -t. Calculate y(v(g)).\nAnswer: 17134*g**2 - 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 5*c**2 + 11*c. Let s be j(8). Suppose -519 = m - 3*d - 2*d, -5*d - 529 = m. Let v = m - s. What is the greatest common divisor of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o + 16. Let b be y(-16). Let d = b + -202. Round d to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.2857534 centimeters?\nAnswer: 2857.534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58669\/4712 - -387\/31. Let n = 2057\/152 - y. Factor 0*f - 3\/8*f**5 - n*f**3 - 9\/2*f**4 + 0*f**2 + 0.\nAnswer: -3*f**3*(f + 6)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 5) in base 9?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 + 12*f + 4. Let o(g) = -7*g**2 - 25*g - 9. Let a(d) = 2*o(d) + 5*q(d). Let z be a(-10). Sort z, 3, -2.\nAnswer: -2, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*v - 50*v - 5*v - 26*v in the form l + z*v and give z.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 155.63ug?\nAnswer: 155630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -5. Suppose p = -3*o + 3*m + 297, m + 7 - 112 = -o. What are the prime factors of o?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -13, -5, 1 in descending order.\nAnswer: 1, -0.3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqflllslsilisiilfs. What is prob of sequence iis?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 149039?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.39245 to two dps.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*b = 126*x - 128*x, 0 = b - 3*x. Solve 39*j - 4*s = 37*j, b = -2*j - s - 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -55540, -111083, -166626?\n\"Answer: -55543*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 370 (base 8) in base 15?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 149180, 82, -5.\nAnswer: -5, 5, 82, 149180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3656 - -6999. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8352\/(-432) - (5 + 65\/(-15))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, m: 2, e: 10}. Give prob of sequence eez.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/8059 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 51426 (base 10) to base 14\nAnswer: 14a54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 at least 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56.7063 + -56.7. Let r = m + -0.0063. Which is the second biggest value? (a) r (b) 12.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 11*f - 1. Suppose -3*b = 15, 4*p = 8*b - 3*b + 69. Give r(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7840 - 886*t - 275*t**3 + 9*t**4 + 1768*t + 3630*t**2 - 4*t**4 + 1364*t + 2234*t = 0. Calculate t.\nAnswer: -2, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111100 (base 2) to base 12.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*k + 28*k - 11*k)*(73 + 38 - 36) to c + u*k and give u.\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35052809, 35052810, 35052811, 35052812, 35052813?\nAnswer: 35052814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-171)\/(-72) + (-3)\/8. Let x(y) = 3*y - 5. Let i(v) = 10*v - 16. Let s = -21 - -14. Determine j*i(w) + s*x(w).\nAnswer: -w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -10*y**5 - 15*y**4 - 24*y**3 - 5*y**2 - 7. Let c(b) = 3*b**5 + 5*b**4 + 8*b**3 + 2*b**2 + 2. Let t(d) = 14*c(d) + 4*g(d). Let t(m) = 0. Calculate m.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) -3 (b) 8 (c) -3\/7 (d) 493\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10*2\/4 - 3\/(-1). Suppose 24 = -d*v + 2*v. What is the units digit of ((-14)\/v - 5)\/(3\/(-100))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**5 + 478*y**4 - 446*y**3 - 14716*y**2 - 33825*y - 20034 = 0. Calculate y.\nAnswer: -3, -2, -1, 7, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 0, -31*p + 35*p = -3*z + 391377. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 - 6*j - 9. Let k(x) = 3*x**2 - 9*x - 13. Let a(d) = -7*f(d) + 5*k(d). Suppose -3*o = -0*o - 12. Let b be a(o). Solve -i = b - 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-6) - 12988\/(-4488) and 58\/55.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -274888 greater than or equal to -274888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = y - 8, 2*y = -5*s - 0*s + 17. Calculate the remainder when 470 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 6 = 2*s. Let n(o) be the third derivative of -o**4\/24 - o**3\/6 + 3*o**2. Let y be n(s). Solve 0*k - k = y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 140? (a) 0 (b) -4\/15 (c) -0.3 (d) -0.1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -715 = -5*w - 5*q, w + 3*q - 288 = -w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 683 = -d, 2*b = 3*d + 2*d + 347. Suppose -180*c + 177*c = -b. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28985 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37118402.\nAnswer: 2, 67, 277003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114403.\nAnswer: 233, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21226, -21219, -21212?\nAnswer: -21205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113166 - -189977. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a minute in milliseconds?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i*p**5 - 15*i*p**4 + 6*i*p**3 + 3*i*p**2 - 14*p wrt p.\nAnswer: 60*i*p**2 - 360*i*p + 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 7*g**2 - 10*g + 35. Let d(i) = i**3 - i + 1. Let r(y) = -2*d(y) - m(y). Let p be r(-9). Solve 3*f - 15 = -3*o, -3*f + 4*o = -o + p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 184.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.2 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000027915 to 7 dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 12*v**3 - v**3 - 12*v**3 + 4*v. Determine f(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/53 or -355\/2?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 10, -5*c + 4 = 4*o + 6. Let r be ((-6)\/(-4))\/(15\/20). Solve -r = o*s + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -9 + -25 - -3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 2)*(-4)\/(-32)*-4. Sort -54, s, 3 in ascending order.\nAnswer: -54, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k. Suppose 4*a = -c - 0*a - 10, c + 1 = -a. Is 8 a factor of p(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13f (base 16) in base 3?\nAnswer: -102211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 7 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -4*f**9\/63 + f**8\/84 - f**5\/60 + 39*f**4\/8 + 5*f**2 - 10*f. Find the third derivative of m(z) wrt z.\nAnswer: -3840*z**3 + 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 99434541 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -13\/3585640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -1\/4, 31, -1, 7.\nAnswer: -1, -1\/4, 7, 31, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 46645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*(1 + sqrt(171))*5.\nAnswer: -30*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76887 is divided by 165?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28 + -666571?\nAnswer: -666544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l. Let o be w(2). Let a be (-2)\/(-7) + (-4)\/o. Find the second derivative of a*u**5 - 4*u**5 + 2*u**5 - 2*u wrt u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2772 divided by -1?\nAnswer: 2772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 25457.7 times -4\nAnswer: -101830.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6760 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = b - 9. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6*o. Let s(x) be the second derivative of 0 + 0*x**3 + 0*x**2 + 1\/6*x**4 + 25*x. What is s(h(m))?\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60755 is divided by 12141.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/((u*u*u**(-11\/2))\/u)*u)*u*u*u\/(u*u**(1\/6)*u*u*u))\/(u\/u**(-5\/3))**(-5))**49 assuming u is positive.\nAnswer: u**(980\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -51?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 7:51 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2046*p + 4689*p**3 + 2046*p - 2*p**2 + 2*p**2 - 4748*p**3.\nAnswer: -59*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 8*i - 32. What is y(-8)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/42 - 6\/(-21)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = n - 18, 7*v - 3*v - 2*n + 20 = 0. Let b(x) = x**3 + 3*x**2 - 4*x + 4. Let h be b(v). Solve -3*i + i = 3*m + 16, -h*i - 4*m = 28 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 276330 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11701919, -23403848, -35105777, -46807706, -58509635?\n\"Answer: -11701929*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s - 3*s - s)*(18860*s - 290 + 3232*s + 24390*s - 5329*s + 290) to y*s + w + h*s**2 and give h.\nAnswer: -82306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-4.6039.\nAnswer: -32.2273","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*q = -375, 3*q = -5*w + q + 634. Let m = -741 + 769. Let n = m + w. List the prime factors of n.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10022.\nAnswer: 2, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1266855 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2529 - 2517. What is the lowest common multiple of r and 838?\nAnswer: 5028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -15. Suppose 3*j + 114 + r = 0. Let p be j\/26 + 15\/10. Sort 0.1, -0.1, p.\nAnswer: p, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -6, 5 in ascending order.\nAnswer: -6, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 41 = -2*u, 4*y + 2*u = 5*u + 19. Suppose -5*q + 2 = -y*q, b - 3 = 2*q. What is the smallest common multiple of (-2)\/10 + 6\/5 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68765*l**2 - 33891*l wrt l?\nAnswer: 137530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.575 and -4?\nAnswer: -26.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*t - 1, 4*t + 4 = 4*o - 0*o. Let r(a) = -5*a - 19 + 25 - a**2 - o*a**2. Let g(b) = 7*b**2 + 11*b - 13. Calculate 4*g(i) + 9*r(i).\nAnswer: i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 16 = 4*l - 5, 0 = -5*d + 5. Suppose -l*s - u = 922, -2*s - 5*u - 140 = 215. Let t = -131 - s. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a. Determine s(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqz when three letters picked without replacement from {q: 3, z: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-5)\/(-3) - ((-234)\/54)\/13)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10, -20, -34, -52, -74, -100?\n\"Answer: -2*s**2 - 4*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*k - 4805 = -17895 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h + h)*(-75 - 21*h + 173 - 116).\nAnswer: -21*h**2 - 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -224, 0 in ascending order.\nAnswer: -224, -11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413788 divided by 47.\nAnswer: -8804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*g + 151 = -2*g, -2*m - g = -92. What is the remainder when (1\/5)\/(m\/87185) is divided by 94?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111100010 (base 2) to base 7\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -370\/210581 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 5*y**4\/24 + y**2. Let h(t) = 3*t + 1. Let o = 32 + -33. Let k(g) = 5*g + 3. Let w(v) = o*k(v) + 3*h(v). Determine w(q(f)).\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -55*i + 2539. Calculate v(47).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 + 12*n**3 + 9*n**3 + 4*n**3 - 1.\nAnswer: 28*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/4 or 227.0283?\nAnswer: 227.0283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -12.6. Let w = l - 1.4. Which is smaller: w or 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5402 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/sqrt(360) - (sqrt(32) - sqrt(2))*3)*3)**2.\nAnswer: 2809\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(1716\/30))\/((-10)\/8)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**4 - 1504*w**3 + 33726*w**2 - 140184*w + 157464 = 0.\nAnswer: 2, 3, 18, 729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**2 - 9*d - 11. Is p(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/8 and 95\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19274 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 0.0129, 4?\nAnswer: 0.0129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k. Let m(s) = -4*s**2 - s - 1. What is m(z) - 2*t(z)?\nAnswer: -4*z**2 + 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102487 and 15367?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -677232*h + 1354469*h + 111*h**3 - 677238*h.\nAnswer: 111*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1121 - 65. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 668, -4, 31, 6, 0.\nAnswer: -4, 0, 6, 31, 668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -304624683, -609249358, -913874029, -1218498696, -1523123359, -1827748018?\n\"Answer: 2*a**2 - 304624681*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55.966 - 56. Let l = j - 0.066. Let k be 8\/(-20) - 12\/(-45). Which is the closest to l? (a) -5 (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/26)\/(431\/(-5603)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1775 and 2059.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*y - 5*r, -y + r = -0 - 8. What is the highest common factor of 3 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -903, -1642, -2359, -3042, -3679?\nAnswer: -4258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2 + 8*d - 2. Let r(z) = -7*z**2 - 11*z - 4. Let o(l) = 15*l**2 + 23*l + 11. Let m(k) = 2*o(k) + 5*r(k). Give 7*i(u) + 6*m(u).\nAnswer: -2*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 19*b**2 + 3*b - 4. Calculate the remainder when h(19) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -342257 or -342244?\nAnswer: -342244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-12)\/y)\/y*y*y\/(y**5\/y))\/(y**5\/y**(-1\/5)) assuming y is positive.\nAnswer: y**(-106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvdd. What is prob of sequence vdvv?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 291.4775 days in seconds?\nAnswer: 25183656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (92548\/(-4083))\/(10\/(-30))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 4 (c) -0.2 (d) -12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -25 and 586?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-16) + (-1 - (1 - -1)). What is the smallest value in 2\/33, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-15) + (-20)\/(-6). Suppose -q*d - 21 = -7*d. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -7. Suppose 4*g - 5*c - 64 = 0, 32 = 3*g - g + u*c. Let t = 30 + -25. Solve l - 1 = 3*y, 8*y - 4*y + g = t*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1197 + 575. Let i be (z\/(-10) - 7)\/(2\/10). Calculate the highest common factor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 1488 - 2868 - 5984 - 3*v.\nAnswer: -6*v - 10340","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 4697.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38355011?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 131*j*t**3 - 2*j*t**2*v - 2*j*t*v + 3*t**6*v + t**6 + 12*t**2 + 2*t - 2*v wrt t?\nAnswer: 786*j + 360*t**3*v + 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - 7. Find the common denominator of r and 2*(-265)\/(-40) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/2217786 and -13\/10?\nAnswer: 11088930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 166b?\nAnswer: -166c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 4:12 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21302 + 28845. What is the remainder when l is divided by 184?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 10200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7093 - -4783. Round i to the nearest 100.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1896.7 or -0.7?\nAnswer: 1896.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 289996830?\nAnswer: 3189965130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 537 + 55 + 217 + 6*n**2.\nAnswer: 6*n**2 - 199","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -12*a - 2. Determine n(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 335.21 - 331. Let p = -4.51 + x. Sort p, 8, -0.2 in descending order.\nAnswer: 8, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 30*s. Let h(u) be the first derivative of 7*u**3\/3 - 174. Let g(q) = -16*q**2. Let c(t) = 3*g(t) + 7*h(t). Determine c(o(l)).\nAnswer: 900*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1. Let s = -5 - -10. Sort s, y, 2.\nAnswer: y, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56080270 is divided by 1121.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -768 divided by -4.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klklkfsflty. What is prob of sequence kylt?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5206, -22373, -51500, -92587, -145634?\n\"Answer: -5980*q**2 + 773*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 112 (b) 2\/5 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1620666 divided by 76?\nAnswer: -810333\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-7 + 3)) + -1. Let h be 1\/(-3) + (4 - p). Put h, -0.4, -2 in ascending order.\nAnswer: -2, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 49 = t. Which is the second biggest value? (a) -4\/7 (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 621 + -621. Sort n, -5, -0.1, 1.\nAnswer: -5, -0.1, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 12*k**3 + 26 + 30.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 4*t - 396, -3*t = 2*s + t - 200. Suppose 0 = -4*m - 8, 2*g + 32 - s = -2*m. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 0*1\/(-2) - -12 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-7))\/(-1))\/(2\/21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, b: 4, x: 3, r: 1}. What is prob of sequence gxxx?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -26\/5, -6\/7, 0?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 4, 1266 in increasing order.\nAnswer: -3, 4, 5, 1266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4 = -z, 5*g = 5*z + 210. Calculate the lowest common multiple of g and 36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -9*y**2 + 21*y - 21. Let f(c) = c**2 - 2*c + 2. Let g(b) = -63*f(b) - 6*x(b). Let r(v) be the second derivative of -5*v**4\/12 - 27*v. Give r(g(l)).\nAnswer: -405*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-5)*20\/3. Let n = a + -8. Solve -4*w = -n*w - 16, -l + 7 = 3*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m*m**(-13)*m)\/m)\/m*m**(-2\/25)*((m\/m**6*m)\/m*m*m)\/m*m**2*m assuming m is positive.\nAnswer: m**(-302\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 373.4234g?\nAnswer: 373423400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 830, 0.08.\nAnswer: -0.02, 0.08, 830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**5\/5 - 48*i**4\/5 - 108*i**3\/5 + 432*i**2 - 810*i = 0.\nAnswer: -15, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -337 - -352. What is the units digit of (10\/a)\/((-5)\/(-1365))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/7 and (-4)\/6 + (1355\/42)\/5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -60. Let z be (-2)\/1 - (-13 - d). Calculate the remainder when 70 is divided by 40 + z + (-4 - -4).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -464306.\nAnswer: 278583.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 1. Let t be (-3)\/(6\/(-10)) + -1. Let u be o(t). Let d = u + 10. Solve 0*c = d*c + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 992280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*f**2 + 99*f**2 + 117*f**2 + f**2 as y*f + j*f**2 + p and give j.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2804959?\nAnswer: 2804959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1865, 3718, 5559, 7382, 9181, 10950, 12683?\n\"Answer: -v**3 + 1860*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 795 + -154. Suppose -2*m + u = -198 - d, 5*m = u + 2099. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18630747 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 4. Let t(c) = c + 11. Let x be t(-6). Let m be k(x). Let l = 108 + -970\/9. Which is greater: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5133696*s**2*v**3 + 603*s**2*v**2 + 1094*s**2*v + s*v + 2*v**2 wrt v?\nAnswer: 30802176*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 130\/((-279)\/(-4836)*130)\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 - 74*p + 82. Give s(-38).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32249.0122 rounded to the nearest one hundred?\nAnswer: -32200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 12 = 6 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10478 = 4*q - 1958. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229464145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + x**2 - x + 5. Let v be m(0). Suppose 0 = 2*j + 3*b + v, 2*j - 4*b = -0 + 2. Let g be (1 - 1)\/j*1. Is g > 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29805 (base 11) to base 12\nAnswer: 20536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -483257.\nAnswer: -5\/483257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 413 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1292 * -0.225629.\nAnswer: 291.512668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5021 (base 10) to base 8\nAnswer: -11635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697650036 a multiple of 656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g + 174. Let a be j(-5). Let t(m) = -a*m + 335*m - 164*m. Let s(c) = 12*c. Determine t(s(k)).\nAnswer: 84*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 31*c**3 - 2*c**2 + c - 6. Calculate b(2).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7862 (base 11) to base 16.\nAnswer: -2871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 12:38 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 12:58 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/322628291?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 n when three letters picked without replacement from {w: 1, o: 1, r: 1, n: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*v + 111*v - 322. Solve -6*r + 17 = -v*r + 4*t, t - 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464777 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqk when three letters picked without replacement from {m: 2, k: 1, q: 2, v: 4}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2653161911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 9615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 627.8019ml to litres.\nAnswer: 0.6278019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(1 + 3)*4\/(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.5 in -2\/13, 4, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.28642 + -4.28642. Which is the closest to 4? (a) -3\/2 (b) -1\/31 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 46\/10 - -2. Which is the nearest to x? (a) -0.5 (b) 8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96 + 96.00686. Round g to four decimal places.\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q = -q - 104. Suppose -d = -8 - q. Solve 3*w = -5*s + d + 10, -w + 4*s - 14 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 6:57 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f - 9. Give v(-9).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.68226 + 0.01774. Put z, -4, -2, 15.6 in increasing order.\nAnswer: -4, -2, z, 15.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*3*1 + sqrt(832)*3)**2*4.\nAnswer: 37908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2414314 (base 5) to base 15.\nAnswer: d4c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5526750 to the nearest 100000.\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2078*s*z**3 + 10188*s with respect to z.\nAnswer: 6234*s*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, l: 2, j: 6, r: 2}. What is prob of picking 2 l and 2 r?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.3. Let z = 11.2 - 10.7. Which is the nearest to g? (a) -3 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(156)\/(-2*sqrt(12)))**2.\nAnswer: -sqrt(13) + 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 517, 1037, 1557?\nAnswer: 2077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 17. Let x = -107053\/17240 + 8\/6465. Calculate the common denominator of x and -1 + (d - 0)\/(-24).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -331 - 1200?\nAnswer: -2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbgh when four letters picked without replacement from {t: 5, b: 1, h: 3, g: 4, d: 1}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/24)\/(77\/132*-1)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**2\/2 + 5*b + 2. Let k be s(8). What is the units digit of ((-2)\/4)\/(k\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j - 8*j**2 - 4*j**3 + 16*j + 0*j**3 + 3*j**3 - 9. Let s be r(-9). Suppose 2*z = -s*z. Solve z = 8*o - 3*o - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.07 - 0.07. Let a = 3.2 - z. Let m = 1396 + -1401. What is the nearest to a in -0.1, m, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/405, -2\/3, -2, 147, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(208) + -1 - (sqrt(208) + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-5 - (-22 - -11)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4 = t - y, -y - 12 = 3*t. Put t, 3, -3, -2 in ascending order.\nAnswer: t, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 1. Let i(n) = 152*n + 57. What is 57*f(z) - i(z)?\nAnswer: -95*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/(-5 + (-710)\/(-140)). Suppose 0 = 2*r + 2*r - 4*h - 4, -x = -3*r - h. Solve -4*k = -r*c + 14, 3*c = -0*k - k + 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 879\/9 + (-2)\/(-6). Suppose -5*y + u + p = 0, -5*y + 4*u + 88 = -y. Calculate the highest common divisor of 76 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 164*i**2 - 1944*i - 274. What is l(12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m**3 + 2*m**3 + m**3)*(-2*m - 3*m + 3*m + (2 - 5 + 2)*(0*m - m - m) + 4*m - 3 + 3) in the form o + n*m**3 + y*m + i*m**2 + j*m**4 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8*p - 10. Determine g(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0.096 (b) -1238 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -2*k**5\/15 - k**4\/12 - k**3\/6 - 7*k**2. Calculate v(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2175\/319*(-539)\/(-147)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 344877595 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, 15\/19, -3338 in decreasing order.\nAnswer: 4, 15\/19, 0.1, -3338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272115 is divided by 798.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3536 = 20*k - 16*k. What are the prime factors of k?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-5 + 9)) + -6 - 10?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6037 + 6038. Let a = -6.87 + -0.13. Let l = 7.3 + a. Which is greater: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 355453, 355452, 355451, 355450, 355449, 355448?\n\"Answer: -y + 355454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10916*b - 110*b**2 + 508*b**2 + 2 + 10915*b to the form r*b + c*b**2 + m and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*i + 4168, -i = -4*a + 1863 + 14809. What are the prime factors of a?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1554 and 53186.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 585435281 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: Let c(n) = -4*n**2 - 2*n - 2. Let q(y) be the first derivative of -y**3\/3 - y**2\/2 - y - 3722. What is 4*c(v) - 8*q(v)?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3455123 (base 11) in base 9?\nAnswer: -12323721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128070?\nAnswer: 2, 3, 5, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38566597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from xnxxnxoonnxonnno.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*q + 38727 = -610*q for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/1703280 and 65\/36542.\nAnswer: 206096880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9}. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -719 or 1?\nAnswer: -719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -1\/540*z**6 + 1\/90*z**5 + 0*z + 0*z**2 + z**3 - 1\/36*z**4 + 1. Let j(r) be the third derivative of x(r). Factor j(i).\nAnswer: -2*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Suppose 0 = -5*p - 3*n - 12, -p = l*p - 4*n - 16. Suppose 3*t - 2 - 4 = p. Solve -4*f + t = 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 121, 152, 183, 214?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - (3840\/630 + 6\/(-9)). What is the closest to -0.1 in t, -1\/2, 2\/39, -0.3?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*l - 17 - 277 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 157156260 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 - 222*k - 1670. What is g(-104)?\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 26*z**2 + 34*z + 1458. Calculate w(-25).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.5 + -1. Let i = 9.6 - -0.4. Let l = 7 - i. Which is the closest to l? (a) 3 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8*l + 7. Let u be c(-16). Let z = -76 - u. Solve 6 + 5 = -p + 3*k, 5*p - z = -5*k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 2*d + 4. Let l be s(2). What is the common denominator of (153\/(-84) + -1)*(l - 3) and -25\/22?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u + 36. Calculate z(18).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 556 and 10141162.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 365*b**2 - 7248*b + 6380. What is g(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -68dc09 + -20?\nAnswer: -68dc29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106646.\nAnswer: 2, 53323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3593 - 764919878.\nAnswer: -764923471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z**3 - z**2 + z - 1. Suppose 3*o = o + 12. Suppose -a = 5*a - o. Give h(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 times -339144?\nAnswer: 43071288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 14*u**2 - 12*u - 12. Let o(k) = -13*k**2 + 11*k + 11. Let s(n) = -6*a(n) - 7*o(n). Suppose -5*f = -7 + 27. Is s(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 237 - 163. Let u = l + -39. Calculate the remainder when u is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12033257 and 7636?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18, 135, 244, 351, 462, 583, 720?\n\"Answer: o**3 - 10*o**2 + 140*o - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -335502.3 rounded to the nearest ten thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5095 + 5110. Suppose -7*z + 10 = -h - 2*z, -12 = 3*h + 3*z. Which is the second biggest value? (a) -0.1 (b) 0.1 (c) h (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -117 + (29 - -9) - -58.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 189881374049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**0\/q)\/q)\/q)**6*(q**2*q)\/q**1 assuming q is positive.\nAnswer: q**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*1\/8)\/((-51)\/24). Let i = 1 + -5. Let x be ((-92)\/45 + 2)*-5. What is the nearest to -1\/5 in i, s, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - v**2 + v. Let l(p) = 7*p**3 - 6*p**2 + 5*p + 3. Determine l(q) - 5*z(q).\nAnswer: 2*q**3 - q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 11:14 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 687 = -1840. Let m = 23 + -4. Calculate the greatest common factor of o and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1901, 3, -1054 in descending order.\nAnswer: 5, 3, -1054, -1901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 447291 and 2925?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 11*u + 15, 2882*z - 5766*z + 7 = -2880*z - 5*u - 34 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 86274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147438 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f - 1 + 4 - 3 to v*f + j and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 157447?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.5, 3, -6\/11, 30?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/10 (b) -0.2 (c) 5 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3468 - 3473. Let s = 23\/85 + -7\/51. Put a, s, 0.4, -2 in decreasing order.\nAnswer: 0.4, s, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 7*b**5\/60 + 2*b**2 - 3. Let i(m) = -4*m**2. What is v(i(h))?\nAnswer: 112*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 10*r**2 + 15*r - 9. Let s be l(-8). Is 1\/52 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -129*p - 25707. Determine y(-192).\nAnswer: -939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 84277 + -40?\nAnswer: 84237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254984609 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355 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: Suppose 4*m - 5*g - 131 - 210 = 0, -4*g = 5*m - 416. Is 21 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102.4 - 102. Which is the nearest to -1? (a) i (b) -0.1 (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + z - 1. Let x(s) = 17*s**2 + 11*s - 3. Let h(q) = 4*a(q) - x(q). Let r be h(-5). Is r\/2*(-4)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z - 3*z)*(-3*z + 4*z + z) - 4*z + 4*z - z**2 + 2*z**2 - 3 + 3 + 3*z**2 + 0*z**2 - z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**5\/2 - 33*k**4 + 472*k**3 - 1911*k**2 - 945*k\/2 + 1944 = 0.\nAnswer: -1, 1, 9, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*t + 4, 2*i = 3*t - t + 10. Calculate the common denominator of (-68)\/(-18) + i + -2 and 2\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*b + 49818 = 0, -5*h - 25038 = -2*b - 87360. Is 67 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 243, 5.\nAnswer: -5, 5, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31827\/5 + 3\/5*i**2 + 618\/5*i.\nAnswer: 3*(i + 103)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -912\/5 + 182. What is the closest to -2\/9 in k, -1\/2, -0.03?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 4569?\nAnswer: 9138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27810)\/(-4944)*2\/5*-2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3682 by -1.\nAnswer: 3682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**7\/120 + s**6\/72 + s**3 - 6*s**2. Let i(y) be the first derivative of g(y). Find the third derivative of i(l) wrt l.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284393 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 82819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w**3 - 8*w**3 - 2*w**2 + 21*w**3 + w)*(0*w - 4*w + 5*w).\nAnswer: 2*w**4 - 2*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l**3 + 4*l**2 - 5*l + 4. Suppose 0*x - x = 0. Suppose 2*c + c + 27 = x. Let m = 5 + c. Let k(r) = -r**3 - r**2 + r - 1. Determine m*k(p) - s(p).\nAnswer: -2*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4207.555326 rounded to one decimal place?\nAnswer: 4207.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*n - 29 = 2*n, -d + 21 = 4*n. What are the prime factors of (d + 929)\/(5 - 3)?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 14*g + 18. Let m be p(-11). Suppose -7*f + 2*f = -2*t - 21, 5*f + t = 12. What is the remainder when 33 is divided by m + 16 + 2*f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3987 < -3988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(10\/9)\/s)\/s**(-4\/3))\/(s**(7\/3)\/(s*s*s**(2\/29))) assuming s is positive.\nAnswer: s**(569\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107779.\nAnswer: 7, 89, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5569 is divided by 122.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 + 2*v - 79 + 77 + 0*v + 4*v**3 to the form p*v**2 + w + r*v**3 + i*v and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 6*b + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2*(-30)\/(-30). Let t = -4 - -4.4. What is the closest to 1 in -1\/2, f, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1207*g - 57749 = 136*g for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173801.2 years to centuries.\nAnswer: 1738.012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1947 - 1898. Solve -14*s + m*s = 35 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3 - 1. Let w be 2 + (-3)\/((-6)\/f). Let h(v) be the first derivative of v**2\/2 - 3*v + 1. Calculate h(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/18*(-3531)\/856.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -1727838?\nAnswer: 1727837.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**2*h))*h**8*h)**(-9\/11) assuming h is positive.\nAnswer: h**(-108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-6) - 1) + (-3)\/6. Let p be (-3 + 16\/6)\/(177\/36). Is p greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1099340447 to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**2\/3 - 44*l\/3 - 46\/3 = 0.\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1 - 20\/(-26)). Suppose 2*p - 12 = -4*i, 0 = -4*i - i + 5*p. Suppose 6 + 0 = i*z. Solve -j - z = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u - 3*u)*(-11 + 9 + 3) + 14 - 6*u - 14 + 4*u - 5*u + 2*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1324*b + 43. Let n be m(-8). Let t = n + -7524. What is the units digit of (-4)\/2*t\/(-34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 0. Suppose -4*k - y = -9. Differentiate -3*d**k - 2 - d**2 - 4 wrt d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774367?\nAnswer: 11, 17, 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, -354, -1624, -4084, -8130, -14158, -22564, -33744?\nAnswer: -48094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 129.55413 months?\nAnswer: 0.107961775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -72918094 rounded to the nearest ten thousand?\nAnswer: -72920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*r + 2*c, 19 = 3*r - 0*r + c. Suppose -15 = -2*v - 3*i, 2*v - 3*v + r*i + 1 = 0. Solve v*j + 5 = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.645583 to 1 dp.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 20646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596*o = 333*o - 37160 for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450160?\nAnswer: 2, 5, 17, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 33*v - 32 + 35*v)*((3 - 5 + 4)*(2 + 2*v - 2) - 3*v - 3*v + 4*v - 4*v + 3*v + 2*v + 0 + 0 - v).\nAnswer: 4*v**2 - 88*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + 6\/9*-3. Let m = t + -4. Let z(o) = o**3 + o**2 + o - 12. What is z(m)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -6*y - 65, -1227*y + 76*a + 76 = -1228*y + 11*a for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 220496644 plus 39.2?\nAnswer: 220496683.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -307 and -0.33 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3816561*k**3*l**2 - 3543121*k**3*l wrt l.\nAnswer: -7633122*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide -3*69*2\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -524 - -537. Suppose 37 = q*l + 63. Let w(m) = m**3 + 3*m**2 + m + 1. Give w(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 4:06 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*c + 5*t, -2*t - 2*t = 5*c + 7. Is ((-1)\/(-2))\/((c\/1)\/132) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*j - 5*f, 5*j = -71*f + 74*f + 19 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1352*d + 2402529. What is q(-1777)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/(-16)*-3*-10. What is the greatest common factor of t and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -z - 1 + 5, 5*a - 4 = -3*z. Let f(x) = x + 14. Let t be f(-9). Solve -t*d + 2 = -z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -16\/103, -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/9 at most -11\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 6. Determine g(22).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 384840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/4*1\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-48257)\/8030 - -14 - 8 and 18\/235.\nAnswer: 34310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-8)\/2 + -7. Solve u - 4*h - h - 7 = 0, -u - h = -y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**3 - 6*w**2 - 7*w - 5. Let l(t) = 3*t**2 + 29*t - 13. Let h be l(-10). Calculate the remainder when q(h) is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (29 + -15)*(-2)\/(-7). Suppose s*v = -5*f, 3*f = 2*v - 0*f. Let c(x) = x - 2*x**2 + 3*x**2 + x**3 - 2*x + 8. Determine c(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.27 and 5.18?\nAnswer: -1.3986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 23302301013?\nAnswer: -23302301030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t**0)))\/(t*t\/(t**(-4\/5)*t)*t)*(t**(-13)\/t)\/t**(-9) assuming t is positive.\nAnswer: t**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1574\/5 <= 152\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 f when three letters picked without replacement from {f: 7, e: 6}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1439 = -5*a - 369, -a - t + 208 = 0. What is the greatest common divisor of 12 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22312632, 44625279, 66937926, 89250573, 111563220, 133875867?\nAnswer: 156188514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-5)*f*f**4*((((f\/(f\/f**(-2\/3)))\/f)\/f)\/f)**21 assuming f is positive.\nAnswer: f**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**3 + 1920*g**2 - 24411*g - 26334 = 0. Calculate g.\nAnswer: -1, 14, 627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -13*c - 627. What is w(-49)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26808 < 26809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 0.11 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 10*k**2 + 14*k - 135. Let q be o(-12). Let f = -14768\/5 - -2940. Which is bigger: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4 + 3 + 11*s + 9 in the form k + h*s and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*6\/1*(-8)\/(-408).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 29 = -5*t, -5*t - 14 = -a + 8. What is the remainder when 26 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404640782?\nAnswer: 2, 7, 13, 421, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 11400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5430764 and 1311689.\nAnswer: 6742453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879 is divided by 126?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2. Let t(b) = b**2. Let a(r) = 3*m(r) + 8*t(r). Let s(d) be the second derivative of -11*d**3\/3 - 48*d. Give a(s(f)).\nAnswer: -484*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -893889 divided by 22.\nAnswer: -893889\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (1 + -13 - (213 + -204))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 534140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 less than -251957?\nAnswer: -251956.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 + 76 = 2*v. Suppose -2 = -5*r + 2*q, -4*q - 7 = 3*r - 29. Solve -l - 16 = -v*y + l, -5*y - r*l = -20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 0 + 0)*(15574 - 1402 - 5446) in the form h + p*j and give p.\nAnswer: -17452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7894770269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1\/3)\/z))**(6\/5)*(z**(2\/11)\/z)**(-17\/6))**(-47) assuming z is positive.\nAnswer: z**(-26461\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 2*f - 39 = 0, 0 = -j + 3*f + 19 + 23 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6961377161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {p: 3, q: 2, d: 3, i: 1, g: 5, j: 6}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -17*f**4\/6 - 397*f. Let d(j) = 12*j. Determine d(y(h)).\nAnswer: -408*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/13 (b) 23 (c) 0.1 (d) -5 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + 2975\/275 - (10 - -5). What is f in -6\/11*f**2 - 1\/11*f**3 + 0 - q*f = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -359.1 and 15714.\nAnswer: 15354.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6)*255\/170?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2779.7 - 2\nAnswer: 2777.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 520241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*z, h + 5*z = 4*h - 19. Suppose -7*u + h*u = -64. Let l = -39 + 85. Calculate the remainder when l is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*x = 2*w + 105, x = -3. Suppose 4*k - w = -2*y, 5*y + k + 16 = 84. Suppose y = 2*z - 2*t + t, -4*z + 3*t = -23. Solve -i - i = -z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**3 + 50*x - 35*x**2 + 47*x - 135*x + 100*x**2 + 36*x to d*x + z*x**2 + q + i*x**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1867955 is divided by 543?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26491 and 763696.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 264 + -266. Let b(q) = 2*q**2 - 3*q. Let y(d) = d**2 - 3*d. Let p(w) = w**2 - 12*w + 3. Let v be p(12). Let f(l) = i*b(l) + v*y(l). Factor f(x).\nAnswer: -x*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131 + 108*f**3 - 131)*(-3*f + 10 - 10).\nAnswer: -324*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + l - 7 = -5, -l = 4*l - 2 - 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(3 - 6) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 136890 divided by -13\nAnswer: -10530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 607998493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.126 + 126.426. Let k = q - 132. Let t = -0.7 - k. Which is the closest to 0? (a) -2\/3 (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99312, -198624, -297936?\nAnswer: -397248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -t - 17, -10*m - 4*t - 23 = -9*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/40 + 1\/4*2. Which is the closest to l? (a) -1 (b) 14 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 + -1)*2 - 337\/(127386\/(-812)))*39?\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 12 + 5 - 2*i in the form b + w*i and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 371694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*((j\/(j*j**(2\/7)\/j))\/j)\/j)))**(-10) assuming j is positive.\nAnswer: j**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {f: 6, a: 2, v: 3, x: 4, h: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8299145 millimeters to micrometers.\nAnswer: 829.9145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.54 times 3220?\nAnswer: 79018.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 2316\nAnswer: -4632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6 - (-268473)\/(-36). Let w = y - -7422. Let k = w - -36. Which is the smallest value? (a) -5 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2053.996 rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1327 divide 40023647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1054411 (base 8) to base 6\nAnswer: -10035053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 + (-12)\/(-5). Suppose v*a - 10 = 30. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*n - 2)*(n**2 + 0 + 0) - n**3 - n**3 + 0*n**3 + (-12 - 1 - 7)*(n**3 + 2*n**3 - 4*n**3) + 3*n**3 - 1 + 1.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 6:43 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -34786.\nAnswer: 25\/34786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4) + 3762\/(-228).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/9, -5, 4\/209?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -41433 divided by -5919\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 910 - 916. What is the smallest value in -2\/3, t, 3, 8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -977\/60 - -248\/15. Suppose -5*g + p + p = 26, 2*g + 8 = 2*p. Let x be (1\/g)\/(24\/(-32)). Are l and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**6\/120 + w**5\/12 - w**4\/24 - w**3\/2 - w**2. Let h be s(-5). Is 4175\/45 + h\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1.2. Let n(j) = j**3 + 33*j**2 + 35*j + 100. Let r be n(-32). Let d = -1 + 1. Which is the closest to -0.2? (a) d (b) o (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -9*m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*y + 2*y = -273 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*w - 2*z + 122, -3*z - 65 = -2*w. Suppose 0*v = -v, -4*j + 184 = 3*v. Let q = j - w. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 12:36 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266.1424 millilitres to litres.\nAnswer: 0.2661424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 5:35 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 4*l**2 - 5*l - 2. Suppose -6*s = -4*s - 12. What is the smallest common multiple of -3*(-2)\/s - -19 and n(-3)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -576.5, 2, -2 in descending order.\nAnswer: 2, -2, -576.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*z - 3*a = 39*z - 9, -4*z + 2*a = 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-2 + (-1 - -2)). Let z = -7 - y. Let j be (z\/(-3))\/(2\/6). Solve -k = j*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133 - 123 - (4 + -14).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 178234571351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 11*w - 8. Let v be b(13). Let y(z) = 36*z + 106. What are the prime factors of y(v)?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13242825 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/2 + 8\/((-16)\/(-382)). Let m = g - 177. Suppose 0*s + 4*s = 84. What is the smallest common multiple of m and s?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 192, 377, 564, 753, 944, 1137?\n\"Answer: l**2 + 182*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(66) + sqrt(66) - (sqrt(66) - sqrt(66)*3)*2)\/((sqrt(3888)*1)\/(3*-1*sqrt(8))).\nAnswer: -10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*s - s + 8, 19 = 5*s + 3*r. Let k(m) = -m - 3*m**3 - 2*m - m**s + 2*m + 8*m**3. Calculate k(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3220 (base 6) to base 15.\nAnswer: -33c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (90\/40)\/((-3)\/40). Let x be (-4)\/30 + 197100026\/y + 1. What is x rounded to the nearest one hundred thousand?\nAnswer: -6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -4*r - 52, 4*u - 3*u - 4*r - 57 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.9958 + 11. What is c rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -403, -408, -409, -400, -375, -328?\n\"Answer: b**3 - 4*b**2 - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 5:41 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**5\/60 + a**4\/4 - 3*a**3\/2 - 8*a**2. Let r be z(-6). Let q = r - -18. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6184 + -5421. Calculate the remainder when j is divided by 250.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -6. Let a = -10 + j. Let r = a - -12. What is the closest to -1 in -0.2, r, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7956.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 7:18 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00170454261 rounded to seven decimal places?\nAnswer: 0.0017045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x**2 + 8*x + 6. Give v(-6).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 + 129*w - 43*w - 42*w - 44*w.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24272*-7.08.\nAnswer: 171845.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f + 211. Let o(d) = -2*d - 53. Let r(b) = -2*l(b) - 9*o(b). Is 10 a factor of r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwrrf. What is prob of sequence rr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 393486?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 617412900?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -10*h**2 - 9*h + 11. Let c(m) = -3*m**2 - 3*m + 4. Let p(z) = -7*c(z) + 2*x(z). Suppose 5*i = -4*r - 45, 4*i - 4*r - r = 5. Determine p(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byzs when four letters picked without replacement from {s: 1, y: 1, w: 1, b: 1, z: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d**3 - 4*d**3 + 6*d**3)*(2*d - 2 + 4 - 1) to the form m + h*d + u*d**3 + r*d**4 + p*d**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -25*w + 3 + 89*w - 2. Let x be g(1). What is the greatest common divisor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3013, -3006, -2995, -2980, -2961, -2938, -2911?\n\"Answer: 2*n**2 + n - 3016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/2*-19 - 2. Suppose 0 = 3*z - 5*s - 50, 0 = -5*z + 5*s - 33 + 123. Suppose z = w - y. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhuuvhhuhuh. What is prob of sequence hvu?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-45)\/(-99))\/(-11 - -16) - 12\/(-22). Which is the nearest to -1? (a) -3\/5 (b) 0.1 (c) x (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.8455635 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 415135 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*t - v = 217*t - 111*t - 7 - 18, 0 = 13*t + 4*v + 32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3279*v - 3. Let q(w) = 39296*w - 35. Determine -6*q(u) + 70*r(u).\nAnswer: -6246*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43864010, 43864006, 43864000, 43863992?\nAnswer: 43863982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4918394\/27 or -182162?\nAnswer: -182162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 954, 7441, 24898, 58761, 114466, 197449?\nAnswer: 313146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 5*c - 1. Let g(u) be the third derivative of u**5\/60 + u**4\/8 - u**3\/6 - u**2. Let j(i) = 5*g(i) - 3*v(i). Find r, given that j(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 6, -3\/5, -145, 12\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7 + 4190\/35. Suppose -5*r = -51 - 69. What is the greatest common factor of l and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**4\/12 - v**3\/6 - 3*v**2\/2 + 3*v. Let d be g(3). Suppose -2*s = -d*l + 13, l = -4*s - 2 - 3. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/9, -1\/5, -50420?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = 7*n + 9*n - d, 0 = 4*d - 11 + 3 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14951 - 14841. Solve -15 = 25*r + f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.656347km in centimeters?\nAnswer: 65634.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 944.099 rounded to the nearest 10?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 2*w**2 + 4*w - 1. Let g be h(3). Suppose 3*p = -3*a + 15, 0*a + 20 = 4*a - 3*p. Solve -6 = -g*k + a*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 2:55 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -0.5 (c) -1234 (d) 34\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 24*r**3 - 2*r**2 - 6*r + 7. Let x be j(1). Suppose -z - 17*v + x = -22*v, 0 = -z - 3*v + 7. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*(935\/121 - 8)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-1890))\/(176\/(-3960)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**3 + 14*n**2 + 25*n + 15. Let s(x) = 2*x**3 + 7*x**2 + 12*x + 7. Let p(r) = 3*j(r) - 7*s(r). What is the remainder when p(10) is divided by 43?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = u - 49. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -232854\nAnswer: 7\/116427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/8*2 - 0. Suppose -4*r = z - 25, n*z - z = -r + 15. Solve -r*o + 3*h = h, 3*h - 23 = -4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7*v = 4. Let i = v - -3. Suppose 0*p - 9 = -5*f - i*p, f - 3*p - 12 = 0. Solve -f*t = -2*l + 5*l + 6, 2*l - 5 = t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 42 - 11?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -9*p - 24 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1580*k - 10781*k = -414045 for k.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53408695.\nAnswer: 5, 907, 11777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 9*x - 6. Suppose 8*y = 11*y + 24. Let g be l(y). Let r be (4 + 16\/(-5))*65. Calculate the greatest common factor of r and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 8*s**2 - 6*s - 6. Let n be v(9). Suppose -n = -4*x + x. Let t(u) = -u + 5. Let d be t(0). Solve -2*p + x*p = d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16940 divided by 35\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 + w**3 - 2*w**2 + (-2*w + 2*w - 2*w)*(w - w**2 - w) + 3*w**3 + 0 + 0 + w**3 - 2*w**3 + 2*w**3 + 2*w**3 + 0*w**3 - 3*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 60*x - 1909. Does 4 divide a(37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202201102 (base 3) to base 16\nAnswer: 3b00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o - 6 = 0. Let k = o - -10. Determine q so that -q + 4 - 2*q - k*q - 6*q**2 = 0.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 9. Suppose -6*c + c + 65 = -4*r, -3*c + 5*r = -39. Let x = c + a. Solve -2*w - 4 = -v, -x*v + 2*v = 5*w + 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 223 = 8. Suppose 0 = -h*t + 15 + 40. Calculate the highest common divisor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81392 is divided by 114.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 7*q**2 + 5*q + 4. Let m(p) = p + 6. Let h be m(0). Let a be w(h). Suppose -j + 2*g = 11, -2*j + 12 = j + 3*g. Which is bigger: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-256 + 6)\/(2\/(-3)) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/5 - 101518*m\/5 + 101519\/5.\nAnswer: -(m - 1)*(m + 101519)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1698 by 566.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/175*2\/(8\/2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 164279191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-100))\/((-12)\/1650*-11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4544 + 4596. What is the remainder when 307 is divided by o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.2 and -5959.1525.\nAnswer: -5962.3525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 2870*a - 5736.\nAnswer: -(a + 2)*(a + 2868)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 1\/9 (c) 3\/23 (d) 55 (e) 9 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, -3\/7, 54, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 977694 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 400568276 to the power of 1\/3, to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*y - 3 + 3)*(1 + 2 - 5) + 2*y + 1 - 1 - 5 - 3*y + 5)*(-2 + 0 + 4)*(-641*y + 83*y**2 + 322*y + 2 + 320*y).\nAnswer: -830*y**3 - 10*y**2 - 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**4 + 1429045*g**3 + 10003530*g**2 + 8574480*g = 0.\nAnswer: -6, -1, 0, 285816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/((630\/36)\/7) + (470\/(-16))\/(-5)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 12*m**2 - m - 2. Let q(p) = p + 2 + 56*p**2 - 136*p**2 + 69*p**2. Calculate 3*d(j) + 4*q(j).\nAnswer: -8*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.846*0.1\nAnswer: -0.1846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4 - 30*t**3 + 75*t**2 - 108 = 0. What is t?\nAnswer: -1, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1183 + 1179. Let v = 0.28 + -0.68. What is the second smallest value in -2, v, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = 2*q - 5688. Find the common denominator of 81\/10 and (-623)\/q*((-226)\/14)\/1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2189.98ml?\nAnswer: 2.18998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77075\/54 - -12832\/9. Let v = -87553\/18 - -4860. Find the common denominator of h and v.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8, 9, 28, 49?\n\"Answer: h**2 + 14*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 2*s**3\/15 + 339*s**2\/10 + 169*s\/5 + 570. Find g, given that c(g) = 0.\nAnswer: -169, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/16 and -59\/62340?\nAnswer: 249360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2. Let f(w) = 4*w - 12. Let i be f(5). Let o(c) = 4*c**2 + i*c - 8*c. Determine o(p(l)).\nAnswer: 64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314, 315, 316, 317, 318?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -3*g, 8*c - 616607*g - 30 = -616609*g for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 579128 and 4?\nAnswer: 579128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = d - 4, 5*d - 4*w - 12 = 3*d. What is the smallest value in d, -3\/8, -51, 1\/4?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011111111110100000011 - 1?\nAnswer: 11011111111110100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -239.0762 - -239. What is u rounded to 3 dps?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t\/(t*t**(-20\/3))*t*t*t)\/t)\/t**(-19))\/(t**0\/t*t*t**0) assuming t is positive.\nAnswer: t**(89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-28))\/(1\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 567 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {m: 6, o: 9, i: 4}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -2\/7 (b) -11 (c) -5 (d) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 205019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, e: 1, u: 5, i: 3}. Give prob of sequence ipu.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11\/5 + 39\/20. Let r(v) = 4*v + 3. Let z be r(-2). What is the closest to 0 in -4, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 14073190544?\nAnswer: 14073190545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.78 + -30.22. Let g = 97 + -65.9. Let o = g + v. Sort -2\/7, o, -0.2, -0.4 in descending order.\nAnswer: o, -0.2, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/4*(-6)\/(-60)*(-198)\/165\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-57)\/(-2) - (-10)\/20. Suppose 0 = 3*c + 5*k - m, k + 3 - 4 = 0. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -535684 or -535698?\nAnswer: -535684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/((-450)\/(-85))*1\/(-1).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {z: 9, n: 3, d: 3, g: 2, c: 1, b: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + -14215346?\nAnswer: -14215400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -116?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22048801 to the nearest integer?\nAnswer: 4696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-1 - 11 - (26 + -31))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -165, -446 in decreasing order.\nAnswer: -24, -165, -446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + 3*sqrt(4032) + 5)*6)**2.\nAnswer: 27000*sqrt(7) + 1418400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -0.2, -4, 2\/141 in increasing order.\nAnswer: -4, -2\/5, -0.2, 2\/141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3057299 is divided by 299?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 3*d - 11. What is the remainder when k(8) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 is divided by 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + 3 + -3*(3 + sqrt(605) + -1)*3)**2.\nAnswer: 2376*sqrt(5) + 49149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**3\/6 + 110*v + 2. Let a(q) = 8*q**2 + 2. Calculate x(a(o)).\nAnswer: -8*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4\/11, 0, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*h - 58450, 5*q - 10*h = -5*h + 292160. What are the prime factors of q?\nAnswer: 37, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) -1.9 (c) -9 (d) -100.3 (e) 0.015\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -17 + 1. Suppose -4*j + 3*l + 13 = j, -12 = -d*j + 2*l. Suppose -3*f = 3*k - 9, 4*f - 19 = -j*k - 0*f. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -x, 2*p + x - 6 = -1. Let t = 2.76 - -0.24. Put t, -5, p in descending order.\nAnswer: p, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.95 + -149.45. Round t to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-71 + (-12)\/(-4) + -3)\/(-1). Let u = p - 74. What is the third smallest value in u, -4, 6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i, 0 = -4*g - 5*i + 20. Suppose 0 = -5*b - g*b + 120. Calculate the smallest common multiple of 72 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -2)\/(2\/(-1)). Solve r*u - 10 = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3755325, -5, 5 in descending order.\nAnswer: 5, -5, -3755325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1, 1\/9, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncc when three letters picked without replacement from {d: 7, n: 2, c: 7}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(2\/3)*c*c*((c*c*c**(-8)\/c)\/c)\/c*c\/((c**(-2\/3)\/c*c)\/c) assuming c is positive.\nAnswer: c**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1024, 914, 804, 694?\n\"Answer: -110*f + 1134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 + (-25 - (147 - (-26 + 44) - 17))?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*i - 89*i - 6 + 18 - 2 - 8 in the form f + v*i and give v.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 9:34 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35334190?\nAnswer: 2, 5, 73, 97, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*y - 3*d = -35, 0 = -5*d + 25. Let a be y + (-7 - -3) + -7 - 4. What is the units digit of (-686)\/(-10) - a\/25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6689521 is divided by 53947.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97735681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from fjjfjjjffjj?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*x - 55, 0*x + 2*x + 47 = 3*h. Factor -15 - h + 5*f**2 + 25.\nAnswer: 5*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 670, -2785, 1 in ascending order.\nAnswer: -2785, -4, 1, 670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-6)*l)*l*l\/(((l*l\/(l\/(l*(l*l**(-2\/3)\/l)\/l*l)))\/l)\/l))\/((l\/l**(-1))\/l)**(4\/5))\/((l*(l*l**(-1\/3))\/l)**(10\/17))**(-11\/4) assuming l is positive.\nAnswer: l**(2281\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 38 = 72. Suppose -g = 22*c - 55. Solve 4 = c*h + 5*j + 7, 2*h - j = 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2260470 + 0.3154069\nAnswer: 2260470.3154069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*((-9)\/(-44) - (-210)\/385). Let u(o) = -6*o. Let k be u(-4). Suppose -2*s = -6*s + k. Solve 2*l = b - 0*l + s, 9 = d*l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11173 + 98613*a + 11173.\nAnswer: 98613*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b**3 + 26*b**3 - 12*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1144\/(-17238) - (36 + 3070\/(-85)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m**2 + 77*m - 19. What is the remainder when z(-16) is divided by 93?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x + 32. Suppose -2*y = -0*y + 2. Let m be 2 + 10 + -1 + y. Solve -d - m = -2*c, -2*c = c + 2*d - x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2053366074, 2053366073, 2053366072, 2053366071, 2053366070, 2053366069?\n\"Answer: -s + 2053366075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 69648 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/9 + 2)*-15. Let y be 84\/22 + b\/(-55). Suppose -y + 18 = z. Calculate the remainder when 39 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (10 + 11 + -7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 1803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2601 - -2605. What is the nearest to 10 in -40, o, 2\/13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -472 + -1145. Let q = c - -33926\/21. Calculate the common denominator of q and (-13861)\/996 + (1\/2 - -3)*2.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 58*q**2 + 2*q - 1. Let t be l(1). Suppose 3*m - 31 = t. What is the remainder when m is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 - 2)*(-4)\/6. Let p be (-10)\/(-8) + 6\/q. Which is smaller: 2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 67*p - 1111. Let i be s(-30). Let u(q) = 34*q**2 - q - 2. What is u(i)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -573 + -638?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**5\/60 - 7*v**4\/24 - v**2. Let z be u(6). What is the units digit of z\/(-4) - (-4)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 25, w + 6 - 8 = -b. Let z be (w\/2 - -1)*38. Which is smaller: -20 or z?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 9. Let f be a(-4). Suppose 0 = -5*j - d + 3*d - 32, j - f*d = -11. Is (-1215)\/(-33) - j\/33 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1633.\nAnswer: 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 125 = -355. Let r be (-69)\/(((-63)\/12)\/7). What is the greatest common factor of r and p?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - -3. Let z be -40*(-7 + (-30)\/(-250)*55). Solve -l*u + z = -25*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1923 - 1923. Let h(s) = -s**2 + 10*s - 11. Let m be h(9). Sort -4, -1\/6, r, m in decreasing order.\nAnswer: r, -1\/6, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/4 (b) -82 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8 = 2. What is the third derivative of -112*z - 41*z**2 + 113*z + 7*z**f - 2*z**6 wrt z?\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -21784.743 and -0.2.\nAnswer: -21784.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1 - -0.86. Let p = b + -1.76. Is p at most 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4*n. Suppose -j = -4*j - q - 11, -5*j - 2*q - 19 = n. Which is the closest to 0.3? (a) -1 (b) j (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 + 90. Suppose h - 4*b - w = 0, -2*b - 6 = -h - 0. Let z(k) = -1 + 0 - 6*k + h + 0. Calculate z(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-639)\/(-426) + (-357)\/246. Let h = -2 - -1.8. Let x = 8\/25 - 97\/225. Which is the nearest to -3? (a) h (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8831 and 2423.\nAnswer: -21397513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -26*x + 31. Calculate i(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -20*b + 2666360. Let d(f) = 2*f**2. Calculate u(d(h)).\nAnswer: -40*h**2 + 2666360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((3683 - -1)\/2)\/(21 - (-552)\/(-24)). What is the closest to u in 0.1, -3, -1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 40 = 6*m. Suppose -d = -c - 2, 0 = -d - 5*c + m + 10. Suppose 3*r = 4*r - 1, -25 = -h - d*r. What is the greatest common factor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122000 - 1?\nAnswer: -1122001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i - u - 1, i - 2*u + 3 = 0. Let y be i*-4 - 814\/(-22). Let z(a) = -2*a + 0*a + y - 37. Calculate z(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 285, 252, 157, -30, -339, -800, -1443?\n\"Answer: -5*b**3 - b**2 + 5*b + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 11*o**3 - 2*o**2 - 13*o. Let c(s) = -5*s**3 + s**2 + 6*s. Let y(x) = -x**2 - 21*x - 15. Let j be y(-21). Let n = j - -2. Calculate n*c(p) - 6*l(p).\nAnswer: -p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from vvkvbvvvv.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/(-30) - (-4)\/6. Which is the nearest to f? (a) 3 (b) 2\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 103*k**2 + 196*k - 123. Determine u(101).\nAnswer: -729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15238 + -15237.6. Which is the closest to -5? (a) l (b) 6 (c) 2\/21 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12224501 (base 6) to base 2\nAnswer: 1011111110011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-24)*i)**(8\/7) assuming i is positive.\nAnswer: i**(216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1021, -3, 1, -1?\nAnswer: -1021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, x: 2}. What is prob of sequence tt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + (15 - 15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3) - 352\/(-6). Calculate the common denominator of (-1)\/2*t\/(-13) and 15\/11.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4260 + -59545\/14. Find the common denominator of t and 87\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 436 = -4*v, -4*v + c + 3*c = 396. Let i(q) = 26*q**3 + 2*q**2 - 2. Let m be i(-2). Let h = v - m. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.3 minus -3?\nAnswer: -111.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*h**5\/12 - 29*h**4\/6 + 4*h**3\/3.\nAnswer: h**3*(h - 8)*(7*h - 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2575 divided by -1464?\nAnswer: 2575\/1464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1.05. Let h = -16085.50000028 - -16085.55. Let w = h + a. Round w to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 4*w**2 + 3*w + 58. Let m be i(6). Solve -4*b + 30 = 22, 4*v + 2*b = -m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -790513 + -183?\nAnswer: -790696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 855 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -42?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 1398 - 7194 = 0. Suppose -5*v = -709 - h. Let i = v - -46. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5811 + 5811.000019798. What is t rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2466658.\nAnswer: 2, 23, 53623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24165013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + -5*1*sqrt(147) + -3 + 1 + sqrt(147) + -1 + 3)**2*-4.\nAnswer: -5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 27*k**2 + 89*k**4 - 53*k**2 + 24*k**4 + 27*k**2 in the form w*k**4 + a + z*k**3 + g*k + m*k**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 1105.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/(-8))\/(16\/24). Sort -7, 4, 0.05, g in descending order.\nAnswer: 4, 0.05, g, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 274 + -169. Let c(b) = -2*b**2 + 20*b - 47. Let v be c(7). Let l(i) = -13*i + 5. Let m be l(v). What is the greatest common divisor of z and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**2 - o - 15. Let z be m(5). Calculate the highest common factor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20070574 is divided by 180?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 16, x: 2}. Give prob of picking 4 d.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*r + 59*r - 3 = -y, 5*r - 5 = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/2)\/(-1))\/(38786\/861 - 45)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 9*z + 1, 5*z - 3149 + 3114 = 5*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2383*m + 870*m + 379*m = 1414 + 343626 for m.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59481*i**4 + 45*i**2 - i + 326?\nAnswer: -1427544*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 18*1*((-11)\/(-3) + -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 66 = -4*m, 2*m - m - 2*u + 10 = 0. Let v(a) = 2*a**2 + 24*a - 35. Let r be v(-20). Let z = r - m. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -45. Let j = r + 16. Is j at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184128 and 13608?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1053) + -1)*5.\nAnswer: -5 + 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen tenths of a century?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + b - 5 = 0, q + 4*b - 20 = 4*q. Let t = 0.2 + -0.1. Let c be 4\/6 + (37\/(-15) - -2). What is the nearest to q in 1\/3, c, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 13*r**2 - 3*r. Let w(u) = -50*u + 455*u**2 - 32*u - 22*u. Let b = -10 + 114. Let l(g) = b*i(g) - 3*w(g). Let a(m) = -2*m**2. Determine l(a(h)).\nAnswer: -52*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h + 3. Let m be x(1). Suppose -4*z = -v - 0*z - 5, -5*z + 5 = m. List the prime factors of 3*(-22)\/3*v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 25*p**2 + 22*p - 90. Let d be w(-26). Suppose d + 21 = o. What is the remainder when 129 is divided by o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67833d (base 16) to base 10.\nAnswer: 6783805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 216036.9 months in decades?\nAnswer: 1800.3075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1038 and -0.04 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5984*x**4 + 38*x**5 - 2987*x**4 + 10944*x**2 - 1435*x**5 - 2997*x**4 wrt x.\nAnswer: -83820*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -940 at most -939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7*q. Let m = -19 - -31. Let k(t) = -5*t - 4. Let j(y) = -y - 1. Let n(v) = m*j(v) - 3*k(v). Determine a(n(l)).\nAnswer: 21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 12)*44\/8. Let g = -37 + n. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23 + -10576?\nAnswer: -10599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-392)\/7)\/(-7) + -30*(-22)\/(-85)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -479021.3 - -479021. Let q = -1 - 0. Let u = -3 - -2.97. Which is the nearest to 0.2? (a) o (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -46*y - 6*y + 48*y. Let i(t) = -t**2 + 3*t**2 - 22*t**2. Calculate i(q(u)).\nAnswer: -320*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18429565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10552539 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 46*n**2 - 18*n - 2406. What is u(-48)?\nAnswer: -6150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3. Let h(v) = -6*v**3 - v**2 + 3*v - 3. Determine -h(b) + 4*k(b).\nAnswer: 2*b**3 + b**2 - 3*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = l - 2*i, 3*l - i - 3 = -2*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 32*c**2 - 72*c - 1152.\nAnswer: 2*(c - 6)*(c + 6)*(c + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 j when three letters picked without replacement from jaajjja.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9052*f**4*w**3 - f**3*w**3 + 2*w**3 - 795*w - 89 wrt f?\nAnswer: -36208*f**3*w**3 - 3*f**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04891 less than -122937737?\nAnswer: -122937736.95109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*d**3 - 1107*d**2 - 2*d - 19624 wrt d.\nAnswer: 60*d**2 - 2214*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ann when three letters picked without replacement from {a: 1, n: 3, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2 + 60325*z - 18246384 = 0.\nAnswer: 304, 60021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 424.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 8*v**2 - 9*v - 11. Give j(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 19, -0.1, 0.1, -0.4, -1 in decreasing order.\nAnswer: 19, 4, 0.1, -0.1, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 13, 37, -0.03, 3, 2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 14*y**2 - 4*y + 4. Let t(l) = 3*l**2 - l + 2. Let b(q) = -p(q) + 4*t(q). Suppose -8*v + 3*v = 0. What is b(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by (-264)\/(-10) + (-68)\/170?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 83, 91, 99, 107, 115, 123?\n\"Answer: 8*d + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 - 21*k\/2 + 41\/4.\nAnswer: (k - 41)*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 7626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 22*a**2 + 20*a + 23. Let b be x(21). Solve 2*w - 5 = b*o - 3*o, -10 = -2*o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 12*l**2 - l + 1. Let b(k) = k**2 - 7*k + 7. Let o be b(6). Let a be h(o). What is the highest common factor of a and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-15) - (-119)\/35) + 8. Let m be 3 - (10 + o)*14\/102. Which is the third biggest value? (a) -11 (b) 0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 8*n**7\/35 + 14*n**4\/3 + 6*n**2 + 5*n. What is the second derivative of j(a) wrt a?\nAnswer: 576*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22962.\nAnswer: 2, 3, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -28413 (b) -270 (c) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1890 - -1885. Let t = 6.88 - 1.88. What is the fourth smallest value in 0, t, -7, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01093573675 to 4 dps.\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-110))\/((-30)\/(-150))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 97 - 76. Let u = -57 + 82. Suppose u = w + 4*w. Sort w, 0, q in decreasing order.\nAnswer: w, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9a1740 (base 15) to base 7\nAnswer: -116302563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 211, 257, 303, 349, 395?\n\"Answer: 46*d + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2764, 2692, 2620, 2548, 2476?\n\"Answer: -72*h + 2836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/240 and 91\/22.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21286 - -21512. Let v(t) = t**3 + 4*t**2 + 2. Let z be v(-4). Calculate the greatest common divisor of s and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 780, 2636, 6254, 12222, 21128, 33560, 50106?\nAnswer: 71354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394 - 22*t - 133 - 122 - 139.\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2. Let v(p) = -248*p. Give v(c(h)).\nAnswer: -744*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1*1)\/(sqrt(9) + (sqrt(441) - 2*sqrt(441))) + -2 + -2 + (sqrt(539))**2 + 1.\nAnswer: sqrt(11)\/6 + 536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*h + 5*h + 4*h)*(-6 + 4 + 0)*(-3*h - 4*h + 6*h) to w + k*h**2 + s*h and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-63)\/((3\/12)\/(-1)). What is the second derivative of -f*q + 2*q**2 + q**2 + 246*q wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**5 + 167177*b**4 - 13*b**3 + 27447246*b**2 wrt b?\nAnswer: -180*b**2 + 4012248*b - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - -1. What is the highest common factor of x and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + (0 + sqrt(192)*-1 - sqrt(192)) - (sqrt(192) - (sqrt(192) + -1 + 5)) - (4 + 0 + sqrt(192) + sqrt(192) - -5*(2 + sqrt(192))))**2.\nAnswer: 1280*sqrt(3) + 12388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -18*w**2 - 1. Let g(z) = -z**2 - 1. Calculate g(v) - y(v).\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 163748 and 380512?\nAnswer: 331425952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 369 - 296. Suppose 0 = -h*s + 80*s. Solve 0*i + i = -4*f - 9, 5*f + i + 12 = s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 18 = -66. Let z = m + 103. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6895?\nAnswer: 5, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 - (-9)\/27. Let o be 6\/(7\/2 - 2). Let w be 5 - 3*o\/(-6). Solve i = -w*g + 4*g - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7034.7122 rounded to the nearest 100?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - i + 7, -3*s + 2*i + 14 = 35. Let v(w) = 3*w**2 + 2*w + 0*w**3 - w**3 - 4*w + 0*w. Let p be v(3). Is s at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41 - 59 + 23*z + 33 wrt z?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -21*x**2 + 4376*x - 4371. Calculate l(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5802874.2 microseconds in hours?\nAnswer: 0.0016119095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + 2*u + u + 2*u + u - 5*u + (0*u + 0*u - u)*(4 - 4 + 2) + 3*u + 3*u - 4*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**5\/9 + 175914*o**4 - 6332891*o**3\/9 + 4749662*o**2\/9 + 2110964*o\/3 - 6332888\/9 = 0.\nAnswer: -1, 1, 2, 1583222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xlxb when four letters picked without replacement from lxlxlblxlxxbxlxxxx.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-5))\/((-3)\/(-15)). Let b(q) = 0*q**3 + 5*q - g - 5*q - q**3 - q**2. What is b(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 199*a - 311*a + 784 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 163198\/17 - 9600. What is the biggest value in -2, -2\/11, p, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49\/2)\/(-69 - 12630\/(-180)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 306, 581, 828, 1035, 1190, 1281?\n\"Answer: -2*k**3 - 2*k**2 + 295*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + -2. Let z = -1 - n. Let m(t) = 2*t + 3. Let p(k) be the third derivative of 5*k**4\/24 + 4*k**3\/3 - 9*k**2. Determine z*p(b) - 8*m(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11 + 0.01. Let o = -13816749\/308 - -179477\/4. Let r = 69\/7 - o. What is the nearest to i in 5, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53385719407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-12 + 0 - -3) + -8?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2 - h + 2. Let d(v) = 13*v**2 + 2*v - 7. What is -2*d(s) - 7*t(s)?\nAnswer: 2*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1342000?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*x = 5*t - 94*x + 73, -3 - 1 + 2 = 2*x for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -10*c**3\/3 - 5*c**2 + 10*c - 1. Let h(n) = -7*n**2 - 7*n + 7. Suppose 0 = -10*l + 47 - 117. Determine l*h(y) + 5*u(y).\nAnswer: -y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s + 9. What is the remainder when m(-5) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000 + 10011?\nAnswer: -110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438701 is divided by 146134?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 + 0*m**2 + 0*m**2. Let g = -2 + 4. Let b(r) = 2*r**2 + r**2 - 2*r**g. Calculate b(h(l)).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 244912260?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -0.1. Suppose -10*f - 26 = -6. Let p = 6 - 6.3. What is the nearest to j in f, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -251741, -503488, -755235, -1006982, -1258729, -1510476?\n\"Answer: -251747*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 13. Let d = -4 + 16. What is the third smallest value in d, -3\/5, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 3*j - 13*j**3 + 12*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45710339 to the power of 1\/2, to the nearest integer?\nAnswer: 6761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/6)\/(2\/4). Let s = -41 + 69. What is the remainder when s is divided by 2 - (-1 + 36\/m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 134161368760*v**2 - 134161368870*v**2.\nAnswer: -110*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 = r + 2, -4*r = -4*m. Let a be (-2 + (-2)\/m)*-8. Does 20 divide ((-10)\/a)\/((-1)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -9 - (27 - 26) - 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + c + 3)*(6 - 6*c - 6)*(0 - 2 + 1) - 2*c + 3*c**2 + 2*c + (3*c - 3*c + c)*(-4*c + c + 2*c).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. What is the third derivative of 5 - 2*k**2 + i*k**6 - 5*k**6 - 5 wrt k?\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*w + 2*w = 43175, 3*a + w = 43171. Let x = a - -7611. Round x to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5587, -5449, -5311?\nAnswer: -5173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 90251*g. Let n(l) = -l. Determine n(c(q)).\nAnswer: -90251*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498 = 85*v - 73 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7336, -7380, -7462, -7600, -7812, -8116, -8530, -9072?\nAnswer: -9760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 11:45 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 3000.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 13*f**2 + 2*f - 27. Let r be a(5). Calculate the highest common factor of 28 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3774 and 374.\nAnswer: 41514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o - 27. Let c(a) = -39*a**2. Give u(c(p)).\nAnswer: -78*p**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22431 is divided by 9813.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -15.8. Which is the biggest value? (a) -26 (b) j (c) -0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 2*k**2 - 7*k + 1. Let o = 25 - 28. Let n be c(o). Solve 8*g - 3*g = i - n, 0 = -5*i - 4*g + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2596454 is divided by 956?\nAnswer: 914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/2 + -7\/6. Suppose 5*b - 35 = -3*h, -3*b + 48 = h + 27. Is h bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 21. Let j(q) = -x*q + q**3 - 2*q**3 - q + 5*q. Let f be j(-2). Sort f, -5, 0.\nAnswer: -5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 plus 23.6?\nAnswer: 20.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2. Suppose 5*r - 4*i = -360, -3*r - 4*i = -2*r + 96. Let s be (r\/(-7))\/1 - (-6)\/42. Let z(p) = -9403 - s*p + 9403. What is a(z(n))?\nAnswer: 242*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-54))\/((-4)\/(-6))*2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from {u: 4, m: 2, i: 4, s: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 454 - 400 - (12 - -53).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 218*q - 102*q - 113*q + 21, -18*q - 126 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -59441816.1 to the nearest 10000.\nAnswer: -59440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*i**3 + 144*i**4 - 265*i**4 + 4059*i - 118*i**3 + 117*i**4 wrt i?\nAnswer: -48*i**2 - 552*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -7*y + 3. Let c be m(-3). Suppose -13*q = -16*q + c. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31, -24, -117, -248, -417?\n\"Answer: -19*z**2 + 2*z + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p - 19. Let z be n(9). Which is smaller: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 918*i**2*x**2 + 19*i**2*x + 5*i**2 + 1508*i*x**2 + i - 2008*x - 2 wrt x.\nAnswer: 1836*i**2 + 3016*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -72041 at most -71202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 + -30. Let u be 36\/32 - 4\/o. Suppose -2*d = 2*p + u - 5, -5 = 5*d. Solve 14 = -p*h - j - j, h + 3*j + 7 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 + -97. Suppose -5*f + 1055 = 5*r, 0 = -r - b*f + 4*f + 202. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + k = -24, 2*k + 191 = 19*u - 2*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4281 + 4331. Sort 0, v, -1\/15 in increasing order.\nAnswer: -1\/15, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4425190 and 603435?\nAnswer: 13275570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 - 79 = -156*t + 585. What is the remainder when 484 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 89?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 m, and 1 v when three letters picked without replacement from cmbsv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 1882*x.\nAnswer: -2*x*(x - 941)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4398 and 10872?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(567)*-2)**2 - ((sqrt(77)*-1*1)\/(1*sqrt(396)))**2.\nAnswer: -36*sqrt(7) + 81677\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (115\/(-30) + (-3)\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8 less than -4\/4015257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5833*y + 29160. Determine g(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*i - 613*i - 191*i + 41*i = 7712 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 171 - 82. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -6*t**3 + 2*t - 8\/5*t**5 + t**2 + 2 + 11\/2*t**4. Factor q(b).\nAnswer: -2*(b - 1)**3*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c - 35 + 123 - 40 - 10*c - 38. Let b(y) = 3*y - 11. Determine 5*b(n) + 6*u(n).\nAnswer: -3*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 28*g**2 + 2*g - 1. What are the prime factors of j(1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66990?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 92450?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 7*v**3 - 1\/2*v**2 - 6 + 44*v. What is the first derivative of r(h) wrt h?\nAnswer: 42*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 10 = 5*r, -8 = -4*v + 5*r + 32. Suppose -3*z + v*a = 23, -2*z = -5*a + 29 - 7. Let m(l) = 12*l**2 - 1. Calculate m(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158620333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 231536 divided by -2\nAnswer: -115768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2524*o - 2496*o + 112. Let a(q) = 10. Let y(p) = p - 20. Let s(t) = -5*a(t) - 2*y(t). Let r be s(-7). Put r, -5, o, 5 in ascending order.\nAnswer: -5, o, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**17\/p)*p**1*(p*(p\/(p\/p**7*p))\/p)\/(p\/((p**(-1\/6)*p)\/p)) assuming p is positive.\nAnswer: p**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**3 - 2*g**2 - 2*g + 4. Let w be s(-2). Is w greater than -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-32)\/(g**(2\/31)*g))\/(g**(-1\/4))**(-19) assuming g is positive.\nAnswer: g**(-4689\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b. Let w(p) be the second derivative of 9*p**3\/2 - 57*p. Determine d(w(q)).\nAnswer: -108*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from hoosonaosooofoo?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 5*o**2 + 2*o. Let r be k(-5). Let q = r - -17. Let y = q + 1. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.1 + -0.9. Let t = -12 - f. Put 8, -3, t in ascending order.\nAnswer: -3, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-2\/29))\/((k*k**0)\/k))\/((k**(-2)*k)\/k*k**(1\/5)\/k))**35 assuming k is positive.\nAnswer: k**(3787\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t = -10*t + 116 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13518568 divided by 2962.\nAnswer: -4564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*b = -10, q + 0*q + b - 7 = 0. Suppose -5*o = -3*o - 3*l - 10, 4*o = 5*l + 22. Suppose q*i - 5 = -3*j, 0*i = 2*i + o. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 6*l**2 + 8*l - 9. Let j be y(7). Let w be j\/(-4)*(-3 - 1). Which is bigger: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16552878557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12220 (base 3) in base 10?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382 = -8*y + 6*y. Let i = -187 + y. Let h(c) = 2*c - 1. Calculate the remainder when i is divided by h(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -1483*i**6\/6 - 2*i**2 - 21*i - 325. What is the second derivative of f(a) wrt a?\nAnswer: -29660*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -7, -1, -3 in increasing order.\nAnswer: -7, -4, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 28*o + 113. What is y(23)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**2. Let b = -14785\/6 + 2465. Let x(k) be the second derivative of b*k**3 + 0*k**2 - 4*k + 0. What is x(c(j))?\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -0.3177, 1\/16.\nAnswer: -27, -0.3177, 1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3791 and -3588.4.\nAnswer: -13603624.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y + 9. Let v be g(0). Solve 4*d - 3 = v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26\/195 + (-1209)\/(-45) + 1. Let v be (0 - 5)*a\/(-35). Solve 4*p + 3*s = -23, 5*p - v*s = -14 - 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 2 = -11*u. Is (-7759)\/(-3) + u\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6000)*-2 + sqrt(60) - sqrt(1500)*2)\/(-4*(sqrt(180)\/sqrt(5))\/sqrt(3)) + 0)**2.\nAnswer: 4205\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 - -17.2.\nAnswer: 15.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 3.794?\nAnswer: 7.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.085572 to 2 decimal places.\nAnswer: -38.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4 - 4 + 4*n. Let l(s) be the first derivative of 0*s**2 + 50 - 2\/3*s**3 + 0*s. Calculate h(l(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (500\/(-15))\/((-9)\/(27\/6)). Sort m, -0.3, 3\/7, -0.5 in descending order.\nAnswer: m, 3\/7, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136 - -543\/4. Which is the fifth biggest value? (a) -2\/7 (b) -16 (c) 2 (d) y (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19430146 to the nearest integer?\nAnswer: 4408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 362\/189 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -7. Suppose -5*u + o = -10. Suppose 5*p = q + 3*p - 12, -3*q + p = -11. Solve c - q*c + u = 2*r, 0 = 5*c - 2*r - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92842 is divided by 22789?\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-8))\/1*74\/333.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*((sqrt(35)\/sqrt(5))**2 + -2 + (-3 + sqrt(175) - sqrt(175))**2).\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 5*d - 4*w + 17 = 0, -4*d + w + 17 = 0. Solve -d*p = -15, 4*r + 0*r - 9 = p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4124 - 3813. Is k a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*1\/(-2) - 10. Let r(m) = -m - 6. Let b be r(g). What is the third derivative of 2*n**2 - b*n**3 + n**2 - 2*n**3 + 3*n**3 wrt n?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 40, 37, 48, 79, 136, 225?\n\"Answer: y**3 + y**2 - 13*y + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1937881648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38417*j**2*y**3 - 3*j**2*y**2 + 29*j**2*y - 6*j*y**3 - 68*j*y**2 - 5*j*y + j - 9*y**2 + 6 wrt j.\nAnswer: 76834*y**3 - 6*y**2 + 58*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*p - 43435 + 86772 - 42673 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/11)*k*k)\/((k**(9\/7)*k)\/k))\/(k\/k**22*k\/(k*k\/(k*k*k\/k**(1\/32)*k*k))))**(-33) assuming k is positive.\nAnswer: k**(-132519\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + k. Let z be q(-1). Let a be (-15)\/(-18) - 2\/(-12). Let u(n) = z*n + a + n - 6*n. What is u(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a meter in millimeters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + w**2 + w + 6. Let c be y(-3). Sort -1, 4, -3, c in descending order.\nAnswer: 4, -1, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3\/8 + 15543*r**2\/8 + 38847*r\/4 + 7769 = 0. What is r?\nAnswer: -15538, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3712, -18, 479 in decreasing order.\nAnswer: 479, -18, -3712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10*1)\/(1 + -3). Let v = 56.8 + -138.7. Let x = v + 83.9. What is the smallest value in 1.3, l, x?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -169*o + 0 - 23\/36*o**4 + 2\/3*o**2 - 22\/9*o**3. What is j in b(j) = 0?\nAnswer: -2, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 1 - 3 + (2 - 4 + 4)*(-4 + 0 + 3) + 1 - 4 + 1)*(2*d - 3*d + 0*d)*(2 + 2 - 3)*(16 + 4 + 7 + 3 + 2 - 3 + (4 + 1 - 3)*(-2 + 1 + 0)).\nAnswer: -108*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. Let u = -0.55 - 0.05. Let m = -1.1 - u. Which is the smallest value? (a) q (b) m (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -13*p + 26150*p**2 - 13078*p**2 - 13069*p**2 + 1. What is j(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3 + 445*w**2 + 887*w + 443 = 0 for w.\nAnswer: -443, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1364.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4345.54*-1.11.\nAnswer: 4823.5494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.35, 3, 4\/7, -2\/15?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 4:26 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 3*c**5\/5 + 9*c**4\/4 + 2*c**3 + 9. Factor f(m).\nAnswer: 3*m**2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 58413*c*d**4 - 127029*c wrt d?\nAnswer: 233652*c*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/(-1) + 38\/(-247)*13\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*o**4 - 3*o**4 - 8*o**4 + 2 - 6*o**4 + 3*o**4 + 4*o**4 + (0*o + 0*o + 2*o**2)*(-o**2 + 3*o - 3*o) - o**4 + 3*o**4 + 0*o**4 + 6*o**4 - 4*o**4 + 0*o**4.\nAnswer: 9*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 671270.775 rounded to the nearest ten?\nAnswer: 671270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*u - 110. Let s be 9*(-3)\/u*-2. Suppose w - 12 = 5*q, 12 = 5*q - 7*q - 2*w. Which is greater: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -3, 304, -2, -1, 11 in ascending order.\nAnswer: -3, -2, -1, 2, 5, 11, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -11*u**2 + 3*u**2 + 7 + 11*u - u**2. Let k(l) be the third derivative of l**5\/12 - l**4\/4 - 2*l**3\/3 + 47*l**2 - 2. Determine -11*k(i) - 6*p(i).\nAnswer: -i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -u + 5, 2*n = -2*u - 0*n + 50. Calculate the remainder when 83 is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.094, 2\/21, -4\/3, -5 in decreasing order.\nAnswer: 0.4, 2\/21, -0.094, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8979383, -8979384, -8979385, -8979386, -8979387, -8979388?\nAnswer: -8979389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -5 (c) -0.81 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 2*k - 1880 + 1870, -5*k - 52 = 3*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20.4545 + 19.98. Round k to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + k**2 - 7. Let d(l) = -7*l**3 - 29*l**2 - 54*l - 28. Let j(p) = d(p) - 4*v(p). Factor j(a).\nAnswer: -3*a*(a + 2)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68367.\nAnswer: 3, 13, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 132 + 18)*(-6 + 3 + 1)*(3*g - 4*g**5 - 3*g) - 3*g + g**5 + 3*g.\nAnswer: -567*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 3*z + 1. Let c be a(-1). Let m be (-1)\/(c - -2) + -1. Let o = m - 1. Put 2\/13, o, 4 in increasing order.\nAnswer: o, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z**2 - z**2 + z**2)*(-42*z**2 - 37*z**2 + 30*z**2) in the form n*z**3 + r*z + w + h*z**2 + t*z**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**5\/20 - z**4\/6 - 2*z**3\/3 - z**2 + 3*z. What is the tens digit of n(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 993*w**3 - 2*w. Let u(j) = -6*j**3 - j. What is o(f) - 2*u(f)?\nAnswer: 1005*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2*(-4)\/12)\/(10\/(-1260)). Suppose 489 = -27*x + d. Sort -2\/15, 4, x in increasing order.\nAnswer: x, -2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -10*r. Let o(t) = -6*t + 14. Let c(a) = -2*a + 5. Let g(n) = 14*c(n) - 5*o(n). Give b(g(l)).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15225, 15221, 15215, 15207, 15197?\n\"Answer: -i**2 - i + 15227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -25.5. Is g greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -19759.12, 2\/3, 18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -45642.255 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/7, -2, -0.1, 3, -0.24, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 621*r + 8. Is c(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4\/7)\/b*b*b**(-2\/27) assuming b is positive.\nAnswer: b**(-122\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v + v + v - 12. Let n be q(0). Let p be n*((-12)\/9 + 1). Put -1, p, 5 in descending order.\nAnswer: 5, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2656801?\nAnswer: 7, 491, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4*z - 20 = 0, q - z - 5 = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 3:34 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqwb when four letters picked without replacement from {w: 2, q: 2, k: 1, y: 1, b: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4 = 2*x, 179*x + 25 = 3*n + 180*x. Solve 5 = -n*o + 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -15. Let y(v) = -6*v**4 - 6*v**3 + 3*v. Let q(k) = -k**5 + k**4 + k**3 - k. Let t(o) = z*q(o) + y(o). What is the second derivative of t(g) wrt g?\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -1 - (-2 + 32 + -40).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -10 - m - m + m**2 + 0*m**2 - 2*m - 7*m. Calculate w(9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 827 divide 159900916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 187\/7202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u - 80. Calculate b(-16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5*z + z + 0*z)*(-20*z + 4*z - 16*z) - 2*z**2 - z + z)*(-3 + 3 + z) to x*z + b*z**2 + o*z**3 + n and give o.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2478 (b) -0.1 (c) -1\/7 (d) 6 (e) 583\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + q = -19, -14*b + 18*b = 4*q + 28 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (328\/(-3))\/(5\/(-15)). Let d be (-6)\/(-30) - u\/(-10). Suppose -4*x = -x + 3*v - 39, -5*v = 3*x - d. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/30)\/(25\/(-150))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.3, -2, 4\/9?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 252*h + 10120. Give k(-50).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 245*u**3\/2 + 4179*u**2\/2 + 1191*u\/10 + 17\/10 = 0?\nAnswer: -17, -1\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n**2 - n. Suppose -2 - 50 = 4*m - 4*u, -7 = m + u. Let b be m\/8 - 12\/(-48). Calculate y(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000441 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 6. Let a be g(-3). Suppose 0 = -3*u + 115 + 5. Suppose o - u = -a*o. What is the lowest common multiple of 7 and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/39 (b) 0.2 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245344 divided by 451.\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9089384 divided by -2272346\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 11*-58) + -1. Suppose -5*m = -2*k - c, -3*k - 227 = -5*m + 409. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -4. Let n be (6\/(-9))\/((-4)\/u). Solve 2*p = 3*p - n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*1 + 0)\/((-16)\/16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1*32527777\nAnswer: -32527777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 2\/19 (c) 5 (d) 0.831 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 y when three letters picked without replacement from aayyyyaaaa.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170741?\nAnswer: 170741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1097*c - 1099*c + 2205*c - 3*c**2 - 1 to the form y*c**2 + x + i*c and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -16*c - 1364. Let i(o) = -3*o - 228. Determine 2*f(k) - 13*i(k).\nAnswer: 7*k + 236","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 493.4726um?\nAnswer: 0.04934726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1 - 3) + (6 - 4))*2. Let h(y) = -6*y - 19. Determine h(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000225217 rounded to five decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*p**5 + 3*p**2 + 3099*p + 1 wrt p.\nAnswer: -1440*p**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 405 + -44?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -2. Let f(y) = -y**3 - 5*y**2 - 2*y + 3. List the prime factors of f(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.26 - 1.64. Let i = 7 + x. Sort -2\/5, i, -1\/2 in descending order.\nAnswer: i, -2\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6211788887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.0314.\nAnswer: -0.157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*l - 3*j + 11 = 48*l, 2*j - 9 = -3*l. Let x(d) = -d**3 + 6*d**2 - 4*d - 3. Let n be x(5). Let y(m) = -5*m - m**n + m**2 - 4 + m**2. Calculate y(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -493610 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41.84 + 336.36. Round a to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150296679 at most 150296677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*z + 466*z = 98 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5997453910.\nAnswer: 2, 5, 7, 85677913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 14, -4\/5, 2 in ascending order.\nAnswer: -4\/5, 0.4, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2815 to two decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -27, 202, 877, 2220, 4453, 7798, 12477, 18712?\n\"Answer: 37*f**3 + f**2 - 33*f - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255927?\nAnswer: 3, 7, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/10 - (-11 + 14\/2)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2. Let q(p) = 11*p + 4300. What is q(m(s))?\nAnswer: 44*s**2 + 4300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 352\/(-7920)*(-6)\/8\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -79*a + 3369. What is o(43)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9224401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1975086880 plus -1330?\nAnswer: -1975088210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -273 + 280. Calculate the remainder when z is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4319619.\nAnswer: 3, 197, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*d + 3028 = 3308 + 2570 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -25*b**3 - 134*b**2 + 43*b + 4. What is x(-6)?\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 2. Let o(s) = -10*s + 8. Let b(d) = o(d) - 5*u(d). Let m(k) = 6*k + 3. What is -7*b(p) - 6*m(p)?\nAnswer: -p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 21. Let k be (-3)\/(-6) + z\/(-4). Solve -8 = -k*u + m + m, 0 = 4*u + m - 21 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6458*r**2 - 14*r + 14*r.\nAnswer: -6458*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 114\/42 + 4\/14. Suppose 0 = 3*l + 2*n - 4, l - 5*n = 2*l + f. Calculate the greatest common divisor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*u - 245*u = -532 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4*l = 8, -81*l + 79*l = 4*p - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 26. Let z = r - 9. Let o(h) = -z*h + 3*h + 0*h. Let v(t) = -8*t**2. Determine v(o(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 17735*z**3 - 7*z**2 + 20*z - 32. Let v be f(8). What is v rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9936, 19815, 29514, 38943, 48012?\nAnswer: 56631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364513 is divided by 154.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/28*1\/(4\/(-14))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -585 - -585.3171. What is h rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20590*x + 20590*x - 63*x**2 - 59*x**2 + 123*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = o + 5*s, 3*o - 18 = 5*s - 2*s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**5\/60 + 15*l**2\/2 + 24*l. Let g(c) be the first derivative of o(c). Let t(s) = 58*s**2. Determine t(g(j)).\nAnswer: 58*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 253662117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.75 + 5913786.\nAnswer: 5913784.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22330.0995 rounded to the nearest ten?\nAnswer: 22330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 + 4b?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4*(-3)\/(-4))*-7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 11:50 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m + 9. Give q(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 0*v**3 - 95 + 93 - v**3 - 2*v - v**3. Let k be 2\/6 + (-5)\/(-3). Let r(f) = -f**2 + f + 1. Give k*r(w) + z(w).\nAnswer: -2*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 11*z**3\/3 - 1. Let h = -30 + 42. Let r(d) = -14*d - 12. Let i(s) = s + 1. Let k(q) = h*i(q) + r(q). Give k(l(j)).\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 1125 = -5*r. Find p such that 225 + p**3 - r - p**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 45 (b) 2\/11 (c) -0.5 (d) -2\/9 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -71, -141?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(17) + (sqrt(272))**2 + -1)*-1.\nAnswer: -271 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 + 2*n + 3. Let r(y) = 13*y**3 - 9*y - 13. Let v(w) = -9*j(w) - 2*r(w). Let m(z) = -z**3 - 14*z**2 + 15*z - 1. Let a be m(-15). What is v(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -6*v. Suppose -l - l = v. Factor l*s**2 + 2\/7 - 4\/7*s - 2\/7*s**4 + 4\/7*s**3.\nAnswer: -2*(s - 1)**3*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 a, and 1 f when three letters picked without replacement from {c: 4, f: 1, n: 5, a: 8}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**1*k)\/(k\/(k**6*k*k)*k*k))\/(k**7*(k\/((k\/(k**(-1\/9)*k*k))\/k*k))\/k)*(k\/(k\/(k*k\/k**(-2\/13))))\/k*k**(-1\/4)*k*k*(k**0)**12 assuming k is positive.\nAnswer: k**(1879\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 692063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -134 + 140. Suppose 0 = -2*x + 2*n - 3*n + 7, 3*n = -5*x + 19. Calculate the lowest common multiple of x and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*4*sqrt(48)\/sqrt(2))\/(-1*sqrt(1452)*-4).\nAnswer: -36*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1379134 is divided by 352.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169, -341, -513, -685, -857, -1029?\nAnswer: -1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.1 + -47.1. Let y = d - -109. Let p = y - 67.99957. Round p to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5972 (base 11) in base 16?\nAnswer: 1e8f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3 - 233*v**2 - 234*v = 0. Calculate v.\nAnswer: -1, 0, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 537178.639999228 + -537178.79. Let r = j - -0.15. Round r to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s + 3640 - 3115 = 0 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 3*w**6\/140 + 8*w**5\/35 + 13*w**4\/21 + 16*w**3\/21 + 11728*w**2. Factor b(t).\nAnswer: 2*(t + 4)*(3*t + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 352 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y. Let m(t) = -556661*t**2. Give f(m(r)).\nAnswer: -556661*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1764 + 621. Let t = -1142.461 - l. What is t rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, 5, -18, -3, -46 in descending order.\nAnswer: 7, 5, 0, -3, -18, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3865?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6 (b) 3\/5 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 138*f**2 + 6*f + 1366. Let j(d) = 55*d + 1. Determine -11*j(a) + 2*n(a).\nAnswer: -53*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/3480464 and 107\/4350580.\nAnswer: 17402320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 21*r**3 - 2*r**2 + r. Calculate c(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 30*y = -7*y + 7345110. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -19. Suppose 0 = 5*x + 3*m - 4, w*x - 3*m - 14 = -0*m. Let n be x\/6 - 51\/136. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*p**4 - 1356*p + 270*p**2 + 41*p**4 - 285*p**3 + 680*p + 636*p.\nAnswer: 5*p*(p - 4)*(p - 1)*(11*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -67*f + 2*f**3 - 3*f**3 - 12*f**2 - 3*f**2 + 20 - 12 - 11. List the prime factors of a(-15).\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-3)\/(2*3\/(-12)*2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 5. What is the lowest common multiple of 4 and (i + -2)\/(-1 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 752 - 302 = -0*z + 10*z for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.168 and -267.\nAnswer: 44.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*l + 40*l = 168*l - 56*l + 465 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2. Let x(h) = -7*h**2 + 6. Let z(t) = 8*t**2 - 7. Let b = -12 + 6. Let q(w) = b*z(w) - 7*x(w). Give q(v(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3434*h. Let m(p) = 2628*p**2 + p. Give a(m(k)).\nAnswer: -9024552*k**2 - 3434*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -29*i**2 - 2865*i - 5040. Calculate h(-97).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -5. Let u = 5 + -4. Put -4, k, u in decreasing order.\nAnswer: u, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1716, 1685, 1626, 1533, 1400, 1221, 990?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*j + 3 = -5*j, 0 = -2*t + j + 3. Suppose -3*n = -t*n + 66. Is (n\/(-3))\/(2\/87) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - -18. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**2*p*x**2 - 6*j**2*p + j*x + 11*p - 3*x**2 wrt j.\nAnswer: 4*j*p*x**2 - 12*j*p + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 18, m: 1}. What is prob of sequence hm?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 1330*t - 9284. Calculate the remainder when 7147 is divided by w(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 33 (b) -0.3 (c) -3 (d) -4 (e) -222 (f) -10 (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181 - -174. Let m = i - -8. What is the third smallest value in 5, -36, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -6. Let v be 55\/22*4\/5. Suppose -9*h + v*h = -42. Solve a - h = x*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11328)\/(-8496))\/(12\/(-22))?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201760 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 11 = 65. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 + 56. Calculate the greatest common divisor of w and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 2, 3 in descending order.\nAnswer: 5, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1377)*2 - (sqrt(1377) + -1)*-5 - -3*(sqrt(1275)*2)\/(-5*-2*sqrt(3)))**2.\nAnswer: -300*sqrt(17) + 15325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4082 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-286725)\/(-804) - (-4)\/2. Let i = x - -109\/67. Let s = i - 363. Is -3 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 + 480*g - 79149. Determine i(101).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 38. Let x = 0 - z. Put -0.7, x, 3 in descending order.\nAnswer: 3, -0.7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 3*x + 216, -3*x + 5*x + 46 = -i. Let v = -84 - i. Is (v + 0)*(-5)\/15 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14716\/5 - (792\/90)\/(-11)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (65 - (-3 - 1)). Calculate the greatest common divisor of y and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*u - 10 = 0, 5*u = 4*l + l - 15. What is the greatest common divisor of l and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - ((-84 - -71) + 21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9698412 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -269 - 30*n + 269 as i + u*n and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*f + 122 = -0*t, -3*t = 2*f - 100. What is the remainder when 128 + (-5 + -2 - -4) is divided by t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - 1 - (-2 + 0). Let z(o) be the third derivative of -o**6\/120 - o**5\/15 + o**4\/12 + 5*o**3\/6 - 3*o**2. Determine z(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkxksskzkksskk. Give prob of sequence xs.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/5)\/o*o\/o**(-2)*(o**0)**(-1\/5) assuming o is positive.\nAnswer: o**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -18*w**2. Let s(a) be the third derivative of -1\/24*a**4 - 8*a**2 + 0*a + 0*a**3 + 0. Calculate l(s(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (548\/24)\/(93\/18 + -5) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5 - 2*q - 4*q + 3*q + 0*q + q**2. Let d be g(3). Suppose 0 = d*b - 36 - 174. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 + 5*m - 78. Let b(t) = 4*t**2 + 3*t - 79. Determine -2*b(n) + 3*q(n).\nAnswer: n**2 + 9*n - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 10*z - 29. Calculate s(-8).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100.5 + 101. What is the closest to -0.1 in 0, h, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4824*v**3 - 6*v**2 + 6*v - 3. Let s(g) = 19295*g**3 - 26*g**2 + 26*g - 13. Calculate 26*a(b) - 6*s(b).\nAnswer: 9654*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 5 - 5 - 5*j + 4*j + 0*j + (1 - 1 + 2*j)*(-2 + 2 - 2) + 4*j + 0*j - 3*j - 1 + 4 + 1 - 2*j.\nAnswer: -7*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81391418 is divided by 2900.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -148778, 5, 0 in decreasing order.\nAnswer: 5, 0, -148778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6242542 - -5?\nAnswer: 6242550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 1410?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3363 (base 13) in base 16?\nAnswer: 1c0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {r: 15, q: 5}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 823\/36861 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*o - 3*o. Let y(r) = r**3 + 21*r**2 - 160*r + 34. Let k be y(-27). Which is smaller: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**2*c))\/c**6*(c**1)**49)\/(c**(-2\/21)\/(c**(-3)*c)*c**(-7)*(c\/c**(3\/4))\/c) assuming c is positive.\nAnswer: c**(3851\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.6 + 2.1. Let z = j + -2.5. Let v = z + 22.9999985. Round v to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 229977.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -209 + 388. Let w be (-670)\/6 + (-6)\/18. Let a = w + v. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2788.\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**4 - 27*o**3 + 87*o**2 - 117*o + 54 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*m + 388263 + 31257. Suppose 0 = 21*x - 18*x + m. What is x rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -2 - 1\/6*n**3 + 1\/4*n + 1\/20*n**5 + 1\/24*n**6 + 1\/8*n**2 - 1\/8*n**4. Factor u(k).\nAnswer: (k - 1)**2*(k + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/24)*b)\/b)**(5\/3)\/(b*(b**27*b)\/b)**(2\/111))**(-21) assuming b is positive.\nAnswer: b**(10703\/888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3796, -7590, -11384, -15178?\nAnswer: -18972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5\/65*(-63232)\/(-896)\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60163?\nAnswer: 17, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**6\/120 - p**5\/10 + p**4\/12 - p**3\/3 - 128*p**2. Calculate j(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16849097 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -811919, -811945, -811971, -811997?\n\"Answer: -26*j - 811893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3859558894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b - 3. Let s = 86 + -82. Let a(k) = -s + 16*k + 11 - 6*k. Give 4*a(d) + 9*v(d).\nAnswer: -5*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/(t*t**(-28))*t)\/t*t*t*t))**(6\/25) assuming t is positive.\nAnswer: t**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 89 = 255*f - 189*f. Let d = 7 - -39. What is the highest common divisor of f and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b*k**4 + 9*b*k**3 - b*k**2 - 4*b*k - 4*b + 430*k**4 - 2*k**3 + 355*k wrt k?\nAnswer: -24*b*k + 54*b + 10320*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*r**2 - 41*r**2 - 42*r**2 + 130*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22121 - -1110?\nAnswer: -21011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = -4*s - 64. Is s\/(-1 - -1 - (2 + -3)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -4\/5, -2, -3, 78 in ascending order.\nAnswer: -3, -2, -4\/5, -1\/2, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67636*v - 14 + 61535*v + 17 - 12.\nAnswer: 129171*v - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4\/5 + 24*s**3 + 330*s**2 + 1800*s + 3375.\nAnswer: 3*(s + 5)**2*(s + 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 + 28*k**2 + 17*k + 1. List the prime factors of f(-13).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64072 and 864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 1. Let y(l) = 4*l**2 + 2. Let q(s) = -2*u(s) - y(s). Let g(d) = -12*d. Determine q(g(p)).\nAnswer: -288*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 490, -0.1, -28, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 5. Let l(f) = f**3 + 2*f**2 + 6*f - 7. Let h be l(1). Solve 4*g - h*a + a - 3 = 0, -4*g + m = a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-2) - -1)\/1. Let j(z) = 12*z**2 - z. Let p be j(s). What is the highest common factor of p and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (171 - 200 + 176)*(-2 - 1 + 2)*(2 + 0 - 3)*(-4*x + 3*x - x) to r*x + u and give r.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 2*y + 5*n - 19, -1 = -2*y + n. Let d(u) = 2*u**2 - 32*u + 288. Let c be d(15). What is the greatest common factor of y and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.6 - -9. What is the second smallest value in -21, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120022211102 (base 3) in base 7?\nAnswer: -2364353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/5 - 1006644*z\/5 + 84444345228\/5.\nAnswer: 3*(z - 167774)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -560 - -562. What is the nearest to u in 0.03, -4, -1, 7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + -2 + sqrt(1872) + 2 - (sqrt(1872) + (-3 + (0 + sqrt(1872) - sqrt(1872)))**2 + (sqrt(1872) + 0)**2 + 5)).\nAnswer: -1884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1193 = -34*i + 133. What is the remainder when 163 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -165, -207, -247, -285, -321?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9012733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*i - 5 = -72*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 12:53 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -624 - -627. Solve -f = z*p + 7, 2*f + p = -3*f - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 - 2*h**2 + 3*h - 4. Let k(j) be the second derivative of j**4\/12 - j**3\/6 + j**2\/2 - 4*j. Give -3*k(i) - l(i).\nAnswer: 2*i**3 - i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/(-9) - 33\/27)*-54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10524049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/144)\/((17\/17)\/(3\/3))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*p - 210, 2*p + 2*p + 3*h + 168 = 0. Let f = 45 + p. Solve -f*x - 22 = -7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 7:58 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - 1*sqrt(20)) + (3*(-2 + sqrt(5)))**2 + (sqrt(120)\/sqrt(32) + sqrt(60))\/(-2*(sqrt(36)\/sqrt(3) + sqrt(12))).\nAnswer: -597*sqrt(5)\/16 + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48912)\/3057)\/(8\/(-39)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5433 and 0.013.\nAnswer: -5432.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 - (4420\/102)\/((-30)\/45).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/304 and 53\/15173818.\nAnswer: 121390544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6 + (-8)\/6. Let n be ((-39)\/(-117))\/((-3)\/(-369)). What is the closest to -2 in n, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7607060749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4 - 8 + 10 - 6*s. Let p be r(-2). Suppose -133*m = -126*m - 21. Solve -m*z - p = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104218441 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 361 = -9*z. Suppose -20*m + 7 = -z*m. Solve 5*f - m - 8 = -g, -2*g - 12 = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 + (-139 - -84) - 74.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -395.\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5465, -6 in descending order.\nAnswer: 5465, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13831931.\nAnswer: 17, 137, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63.05 or -259?\nAnswer: -259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/352 and -51\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 1:52 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/13, -3, 4\/9 in increasing order.\nAnswer: -3, -2, -2\/13, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40434?\nAnswer: 2, 3, 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrr. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzxxxzxgyxoxxex. What is prob of sequence zexo?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k - 49 = -133 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1720530, -3441096, -5161664, -6882234, -8602806, -10323380?\n\"Answer: -x**2 - 1720563*x + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10240183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 3, -277, -195 in decreasing order.\nAnswer: 3, -4, -5, -195, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + ((-10)\/(-6))\/(15\/(-45)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/63 + 768\/(-28) + 28.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 55 - -10a497?\nAnswer: 10a541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 2\/21, -3, -4, 1, -0.6, 2\/227?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618392 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81927 - 739949\/9. Which is bigger: -289 or k?\nAnswer: -289","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -24, -1\/4, -475.3, 0.4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103300 (base 4) in base 2?\nAnswer: 1010011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**4 + 415493*v**2 - 10*v - 7833?\nAnswer: -12*v**2 + 830986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 + -5. Let p be u\/(-9*4\/(-96)). What is the highest common divisor of p and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7891, 5, -0.5, 15 in ascending order.\nAnswer: -7891, -0.5, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 328532 + 0*x**2 - 53*x + 328532.\nAnswer: 2*x**2 - 53*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 278.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 582, 439, 296?\n\"Answer: -143*d + 725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 712*h - 14004 - 13764 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1343987 is divided by 222?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*p**2 + 18*p - 18*p + (1 - 1 - 1)*(-5 + 5 - 2*p**2) + 1 - 1 - 2*p**2.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/5)*g*g*g)\/g*(g**(-3\/7)\/g)\/g*g*(g*g\/(((((g**(-1)*g)\/g)\/g)\/g)\/g*g*g))\/g*g*(g**(-8)*g)\/g)**(-27) assuming g is positive.\nAnswer: g**(2673\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -92*k**2 + 101*k - 11. Let f(r) = -34*r - 10 + 7 + 7 + 31*r**2. Let c(v) = -11*f(v) - 4*z(v). What is the second derivative of c(y) wrt y?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w = -16. Is 29 a factor of 58\/((-5)\/((-60)\/w))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 10 = -x. Let d(q) = 31*q**2 - 1. Let f be d(x). Suppose 11*l - f = 6*l. Calculate the remainder when 11 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11799952, -23599903, -35399854, -47199805?\n\"Answer: -11799951*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*l**2\/7 + 209904*l\/7 + 125946\/7 = 0. Calculate l.\nAnswer: -3\/5, 20991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(17)) - -1*(sqrt(17) - sqrt(68)\/sqrt(4)))**2.\nAnswer: 72*sqrt(17) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -34297 and -1?\nAnswer: 34296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/5 - 2710*r + 6251892\/5.\nAnswer: 2*(r - 6277)*(r - 498)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {v: 4, r: 4, d: 8}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + -42 + 17 + -8 + -13?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -35*o**3 + o**2 - 8*o + 7. What is z(1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/10 and (411\/(-54))\/(533\/(-123))?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(3\/2)\/v*v*v**10)\/((v*v**7)\/v**(-4)) assuming v is positive.\nAnswer: sqrt(v)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1082 divided by 2?\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millennium in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 650?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2 - 109*z - 41. Let l be p(-36). Let t be (-22)\/8 - (4 - 2). Which is smaller: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f + 3. Let w(i) = i**3 + 9*i - 7. Let l be (-42)\/18 + (-4)\/6. Let t be (12\/4)\/(l\/(-5)). Calculate t*b(u) + 2*w(u).\nAnswer: 2*u**3 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -375*p + 11978. Is 83 a factor of h(-38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3233*a*k**2*t**2 + a*k**2 + 259*a*k + 2*a*t**2 + a wrt k.\nAnswer: -6466*a*t**2 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17794*y**3 + 14807*y**3 + 37374*y**3.\nAnswer: 69975*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-39)\/91 - (-52853)\/7. Suppose -7*l - r = -5*o - 2*l, 2*o + 2*l - 3004 = 0. What are the prime factors of o?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 17*v + 33. Let n be f(14). Let j be ((-6)\/20)\/(3 - n\/(-2)). Factor -1\/5*g**3 - 1\/5 + j*g + 1\/5*g**2.\nAnswer: -(g - 1)**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69272143 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0, -0.3, 1042.59?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37 - 3*s**2 - 20*s + 13 + 5*s**2.\nAnswer: 2*(s - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 88, 219, 424, 715?\nAnswer: 1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -24*p - 1. Let a be x(-3). Let l = -108 + a. Calculate the common denominator of -3 + 1*l\/9 and 45\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/2*(-19)\/171?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f**2 - 48*f - 7. Let n be t(7). Let z be 1 + 1 + (4 - 5). Suppose -z = p - 5. Solve n = -p*k - k + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1529311749?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*c - 32*c + 47*c - 12*c.\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88208 - 9075. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*a**2 + 66*a**2 + 45*a**2 as r*a + c*a**2 + y and give c.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-5) - (-34)\/10. Let h = 5 - q. Solve -u - 9 = -h*w, -2*w + 9 + 5 = -2*u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33548474, -33548472, -33548470, -33548468, -33548466, -33548464?\nAnswer: -33548462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - z + 46 = 4*z, 37 = 2*a - z. Suppose -c + 11 - 4 = 0. Calculate the greatest common divisor of a and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -158*a**4 - 2*a**3*d**2 + 17*a**2*d**2 + 24*a wrt a.\nAnswer: -3792*a - 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 319399842 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -3203 and -3212 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.54838 nanograms in tonnes?\nAnswer: 0.00000000000007754838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*d = 3493, 4*d + 14 = -6. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 296731805?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + 32*f - 45 + 90)*(-f - 2*f + 2*f)*(4956 - 4956 + 19*f).\nAnswer: -608*f**3 + 38*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1189515?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 710796.1 millimeters?\nAnswer: 710796100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1453*w + 13389 = -12765 - 14530 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = -2*s - 2*t, 0 = 4*s + t + 189 - 432 for s.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -9 - 17\/10*w**2 - 3\/20*w**4 - 6\/5*w - w**3 + 1\/25*w**5. Find o, given that k(o) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s**2 + s + 5. Suppose 3*r - u - 3*u = 15, -4*u = 0. Let c(y) = -4*y**2 - y - 3. Let m(o) = r*c(o) + 3*i(o). Factor m(a).\nAnswer: a*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 15 = 5*v. Let k(i) = 6*i + 3. Let m(f) = -7*f + 2. Let x(g) = 9*g - 2. Let q(z) = 6*m(z) + 5*x(z). Determine v*q(y) + 3*k(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - t + 3 = -1, d + 4 = t. Let z = d - 2. Is 76 - (-1 + 0) - z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-4))\/((-34)\/(-8) + -4). Let q = 62 + -27. Suppose 0 = 5*v, 5*v + 5 = -b*x + q. Calculate the remainder when 36 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**4 + 6*d**4 - 2*d**4)*(-6 + 4 + 14)*((3 - 3 - 1)*(-2*d - 7*d + 6*d) + (1 - 1 + 2)*(-5*d + 4*d + 0*d) + d + 1 - 1).\nAnswer: 48*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 621626, 1243267, 1864930, 2486627, 3108370, 3730171, 4352042?\n\"Answer: 2*a**3 - a**2 + 621630*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c = 52. Suppose -5*n + 0*k + 79 = k, -2*k = -4*n + c. Calculate the highest common factor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5356705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13 + 15)*(2 + 1011\/6). Calculate the highest common factor of 31 and c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1) + -47 + 41.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g**2 - 21*g - 3. What are the prime factors of y(17)?\nAnswer: 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*b + 5*b. Let l(i) = -4*i + 3. Let v be l(-14). Suppose v = x + b. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 1083 = -3*m, -6*m + 7*m - 4*o - 369 = 0. Which is smaller: m or 358?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 775 = 11*t - 6*t. Suppose -2*d = 3*i - t, -2*d - i = -124 - 29. Is 19 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Suppose -s*z + v = -45, 6 = z - 2*v - 15. Let m = z + -15. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/294 (b) -3 (c) 1647\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8 + 1)*(34\/(-6) + 0). Let t = 60 + b. Suppose 110 = 2*v + t*v. Solve -5*f = -0*f - v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -575.6 + 655. Let n = s - 1.4. Let r = 78.1 - n. What is the closest to 1 in -0.2, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1687338 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1002749340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**4 + 240*r**3 - 270*r**2 - 1240*r - 735 = 0 for r.\nAnswer: -49, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -154 - -202. Calculate the greatest common divisor of 816 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -104, -113, -126, -143, -164?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9180.7 + 8737. Let u = -442 - f. Let o be 2\/(-7)*(5 + -6). Which is the biggest value? (a) u (b) -3 (c) 0 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -46, 2\/11, 11, 9, 0.26 in ascending order.\nAnswer: -46, -5, 0, 2\/11, 0.26, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4844 and 44?\nAnswer: 53284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 99993 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2093 + 4334. Is -1\/3 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, -12, -1, 4 in decreasing order.\nAnswer: 9, 4, 2, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 200*i - 198*i, 5*i + 16 = -8*z. Factor -3*l**2 + 9\/2*l + 3\/8*l**z + 0.\nAnswer: 3*l*(l - 6)*(l - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l + 54. Let w be f(-10). Let x be 258\/(-90) + w\/45. Put 4, 5, x in descending order.\nAnswer: 5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -8. Suppose z - 3 = -h*b + 12, z - 6 = -b. Let y = 7 - z. Solve 3*x + y*c + 1 = -1, -x - 7 = -5*c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 100*r**2 + 826*r - 541. Determine g(91).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1507 - 493 = -25*q. Let k = -76 + q. Solve k*s + 10 = -3*b, -s - 3*s - 2*b = 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10033 - -24985. Suppose 4*z - y = 8804. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 172\/5 - 20371\/(-7835)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 1:08 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 4)*72\/18. Let h be 0\/((-6)\/2) + (-6)\/(-2). Solve k - 3 = v, -h*v = -p*k + 3 + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 17 + 1 = 0. Let q be (-5 + o)*24\/38. What is the closest to -2 in q, -2\/5, 1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 465*v**2 - 483*v + 18.\nAnswer: 3*(v - 1)*(155*v - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 837*d + 96 + 122*d + 102 - 201.\nAnswer: 959*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + l + 5. Let o be n(0). Let v(f) = f**2 - 10*f - 2. Let w(y) = -y**2 + 11*y + 3. Let x(z) = 5*v(z) + 4*w(z). What is x(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 0.05, -3\/13?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmmbmbbbybmmbm. Give prob of picking 3 b.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.2 + 2.2. Let l = 0.04 - -0.03. Is l bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 + v**4 + v**4 + (-v**2 + v**2 + v**3)*(-3*v - 2*v + 7*v) - 2*v**4 - 2*v**4 + 6*v**4.\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 7, -1, 2, 37, -27 in decreasing order.\nAnswer: 37, 7, 2, -1, -20, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -11, -4, 2\/15, 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 28*i. Let z(v) = -49*v**2. Determine z(m(s)).\nAnswer: -38416*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, d: 1, g: 6, i: 1}. What is prob of picking 2 g, 1 t, and 1 d?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 446*x - 444*x + 12 = 0, -4*x - 8 = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppwpxzpxzzxwwxwzxx. Give prob of sequence pxww.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 4, 7.\nAnswer: -3, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -24, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*s**3 + 22*s**3 - 72*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-27 - 0) - -46 - (1 - -16 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sucscsssss. Give prob of picking 3 s.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 41 = 2*h + v, v = -3*h - 133. Let q = -26 - h. What is the smallest common multiple of q and 66?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/13 + 538*u\/13 - 5180\/13.\nAnswer: -2*(u - 259)*(u - 10)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - b8c?\nAnswer: -b8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t - 2. Let p(v) = 10*v - 8. Let u(c) = 4*n(c) - p(c). Let f(j) = 25*j. Give u(f(x)).\nAnswer: -50*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 + 5*v + 3. Let k be y(-2). Suppose -f + 317 = -k*t, -911 = f - 4*f - 5*t. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1567*y = -1328*y - 2868 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 12 - 12 + 48 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 16 and 220499204398.\nAnswer: 220499204414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*sqrt(832)*-1)**2 + -3 + (sqrt(832) + -1)**2 - (-5*(2*sqrt(832) - sqrt(832)) + ((2 + sqrt(832))*-5 - sqrt(832)))**2).\nAnswer: 8880*sqrt(13) + 495550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 10, 4*t - 21 = -j - 4. Let n be 7\/2*(-6)\/j. Suppose -b + 4 = -n. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-7) - 14\/(294\/(-7155)). Let b = -62 + 7. Let w = b + 86. What is the greatest common divisor of w and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139270.077us in days?\nAnswer: 0.0000016119221875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169 - 848\/5. What is the second smallest value in w, -2, -1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12897, -25735, -38573, -51411?\nAnswer: -64249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.118 - -0.018. Which is smaller: x or 41?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -182 + -27. Let g = s + 218. Let f = -1.4 + -0.6. Is g > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102510803 to the nearest integer?\nAnswer: 10125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 12*z - 5*t + 30 = 0, -3*t + 9 = 0. Let d(r) = r**2 + 7*r + 3. What is d(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1840*o = -1837*o - 3417. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42352 divided by 4.\nAnswer: 10588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 212268928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001731811 rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121 - -110421?\nAnswer: 111042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27511*c**3 - 28168*c**3 + 54400*c**3)*(-1 + 2 + 0)*(1 + 0 - 6) to d*c**3 + z + b*c**2 + j*c and give d.\nAnswer: 6395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -1\/5*y**5 + 6*y**2 + 0*y + 0 - 7\/12*y**4 + 0*y**3. What is the second derivative of k(s) wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.3762 + -0.1702. Let b = a + -8.3. Round b to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21655946 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -35229.268 rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) 2\/13 (c) 3\/8 (d) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.56 - 2.2. Let w = z + -1.36. What is the second biggest value in w, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**5\/20 - f**4\/4 - f**3\/3 + f**2\/2 + 3*f - 16. Determine c(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 2)*(-2*l + 4*l + 0*l)*(-3 + 3 + l) to the form x + h*l + t*l**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40502120332 + -1?\nAnswer: -40502120333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49533 or -49552?\nAnswer: -49552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.011 times -46\nAnswer: -0.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1709980 and 1158?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44904*s**2*w**3 - 237*s**2 - 50*s*w**2 wrt w.\nAnswer: 269424*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, y: 4, r: 3}. What is prob of picking 2 r?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10 - 4 = 0. What is s in -v*s - 2*s**2 + 8*s + 6 - 2*s = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 159*10\/6 - 6. Suppose 0*q - v = -5*d - q, -d + 2*q = -54. Calculate the highest common divisor of d and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 80*d = 34*d + 43*d + 9, -5*d + 5 = 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 66\/(-15) - (-8)\/20. Which is the closest to 5? (a) -1\/3 (b) x (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**6\/25 + 99*j**5\/100 + 17*j**4\/10 - 39*j**3\/10 + 34*j**2 - 11. Find d such that i(d) = 0.\nAnswer: -1, 3\/8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 7*y + 1. Let k be g(4). Suppose 0 = -6*i - k + 41. What is the lowest common multiple of i and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.05, -9414, 14 in decreasing order.\nAnswer: 14, -0.05, -8, -9414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -808 (c) -4 (d) -181 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31741319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -9681100 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 0*n**3 - 13\/30*n**6 + 0*n**4 + 61*n - 34*n**2 + 0 + 0*n**5. What is the derivative of t(k) wrt k?\nAnswer: -52*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*c + 417*c - 1930 = -20*c + 21896 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.951, -0.4, -0.1, 3.\nAnswer: -5.951, -0.4, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l - 5. Let m be o(-3). Suppose r = 4*j - 5*j + 4, 3*j - 5*r - m = 0. Solve -15 = -5*t - 2*h, -j*t + 2*t + 3 = 3*h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 1:17 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1361 is divided by 85?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u + 6*u + 0 - 3 - 5 - 71*u**2.\nAnswer: -71*u**2 - 2*u - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2. Let h(i) = 11*i - 5. Let r(l) = -116*l + 5. Let a(b) = 2*h(b) + r(b). Give s(a(z)).\nAnswer: 17672*z**2 + 1880*z + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 547\/815?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(22)\/sqrt(2))**2 + -1.\nAnswer: 19 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -289*q**9\/252 - q**6\/24 - 3041*q**5\/20 - 2*q**2 - 1201*q + 1. What is the third derivative of x(y) wrt y?\nAnswer: -69360*y**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -3*q + 2*k, 2*k = -12*q + 16*q - 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 308951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, t: 5, a: 2, u: 1, y: 6}. Give prob of sequence tt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -616, -600, -582, -562?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -0.2 (b) -5 (c) 3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7164231?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 137, 308, 547, 854, 1229?\nAnswer: 1672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*a = -236*a + 4800. Suppose 5*q - 135 = a. List the prime factors of q.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 434 = 2*v, 0 = 3*w + 5*v + 357 - 109. Let m = 19 - w. What is the remainder when m is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c9 - 3f35?\nAnswer: -3e6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/5, 1\/4.\nAnswer: -2\/5, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**4\/114 - s**3\/57 - 2*s**2\/19 - 11*s. Factor h(n).\nAnswer: 2*(n - 2)*(n + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 0*h + 4*x - 8, -2*h = x - 2. Suppose h = -4*d + 11 + 81. Let f = d - 13. What is the remainder when 17 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3575665 to the nearest integer?\nAnswer: 1891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281.1095 millilitres to litres.\nAnswer: 0.2811095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 945330181 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 66\/(-9)*2385\/(-5830). Solve 3*m - 4*s - 32 + 40 = 0, -3*m - g*s + 27 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 5*y + 516. Suppose 0*o = -o + 5*w + y, -4*o - 4*w = -960. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-35) + 16\/(-10). Calculate the common denominator of 4\/(-10)*1580\/(-16) and (-124)\/10 + c\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 5*t**2 - 2. Suppose -3*q - 12 = 0, 5*u + 3*q = -q + 114. What is the remainder when u is divided by w(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*n - 0*n - 5, -r + 5*n + 30 = 0. Let m = r + -6. Let g = m + 5. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvv when three letters picked without replacement from ccccccccvvcvvcccvv.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 - 50 = -4*a, -4*a + 3*b + 58 = 0. Let n be (-11 + a)*(1 - -1). Suppose -q + 0 = -n. Solve -3*f - 5 - q = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 16*q - 19. What is a(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(19) + 1 + sqrt(209)\/(sqrt(11)*-2).\nAnswer: 2 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 197210939 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9019 is divided by 64.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/((-5)\/(-2)) - -2. Suppose 5*j + 5*w = 15, j - 2*w - 13 = -t. Let b be 1*j + (1 - 2). Solve 4*x + b = -8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(2\/3))**20*d*d**(6\/7)*d\/(d**(-3)*d) assuming d is positive.\nAnswer: d**(242\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33885*x**3 - 33885*x**3 - 670*x**4 + (x**4 - 2 + 2)*(-1 - 1 + 0) - 2*x**4 - x**2 + x**2.\nAnswer: -674*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1803*z**2 + z + 4*z + 1801*z**2 - 5*z.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5444121841?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1923077695?\nAnswer: 5, 7, 11, 4995007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97 + 482\/5. Which is the second biggest value? (a) -1\/7 (b) n (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j. Let x(c) be the third derivative of 121*c**5\/12 + 254*c**2 + 1. Give x(b(k)).\nAnswer: 605*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -829794935.5 rounded to the nearest one hundred thousand?\nAnswer: -829800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**4 - 3*h**4 + 5*h**4)*(-205 + 2*h + 204 + 6*h).\nAnswer: 8*h**5 - h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -7. Suppose 0 = 2*m - 0*g + 3*g - 9, g = 2*m + x. Let o be 12\/10*(-9 + (-138)\/(-12)). Solve m*d = o*d - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.992736362+-20072\nAnswer: -20073.992736362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - o. Let k be g(-1). Suppose k*s = 6*s. Let w(u) = -29*u - 27. Let y be w(-1). Solve s*m = -y*m - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p - 2*p - p)*(126 + 204 + 81) to the form u*p + l and give u.\nAnswer: -1233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -5*q + 0 + 0*q**2 - 1\/3*q**4 + 0*q**5 + 0*q**3 - 1\/3*q**6. What is the third derivative of y(a) wrt a?\nAnswer: -240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5, -2*t + t + 29 = -3*x. Suppose 5*z - 3*z + 8 = -2*c, 5*c = z - t. Let v(o) = 11 - 3*o + 4*o - 10. Give v(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h + 21936 = 3*c, -h = 1. Round c to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1465 by -293.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 5:28 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1241 (base 5) to base 11.\nAnswer: -169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 44.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 - 5*m + 47. Let i be t(0). Solve 11*c + 8 + i = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10412 in -1\/6, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/20 - 2194\/(-10). Calculate the greatest common divisor of 20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3824273087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2521984 by -128.\nAnswer: 19703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*l = -8, 0 = 2*j + 2*j - 4*l + 4. Let g(c) = -2*c + 3*c**2 + 3*c**2 - 3*c**2 - 2 - 2*c**2. Let k be g(j). Is k at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l - 7. Let c be 5\/(-25) + (-2)\/(-10). Let z be w(c). Let a = 14 - z. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -100? (a) -673 (b) 0.3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (345\/(-198) - 429\/(-234))\/(-5)?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 9*i**2 + 33*i + 157. What is the smallest common multiple of 536 and h(-8)?\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (16\/(-20))\/(2\/(-75))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 4*a**2 + 89*a - 43. Give m(11).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/5776370 and -41\/20?\nAnswer: 11552740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 850 (c) 0.23 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 - (19 + (-14 - -4)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-24))\/((-10)\/(-12))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375908875?\nAnswer: 5, 29, 103699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 + -86.0000079. Round l to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r - 7. Let i be y(5). Let d be (-2)\/6 + i\/3. What are the prime factors of (-4)\/d - 102\/(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-12)\/6*2\/4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6103695 divided by 831\nAnswer: -7345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -3, 2\/59, 0.3, -0.011?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s. Let c(v) be the third derivative of -7*v**5\/60 + 8*v**2. Let u(m) = 6*m**2. Let q(f) = 5*c(f) + 6*u(f). Let k = -5 + 6. What is k*d(g) + q(g)?\nAnswer: g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 592812313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 4:08 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -18*x. Let g(t) = -3087*t**2. Determine g(u(f)).\nAnswer: -1000188*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 11:48 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*x - 2406, -2*x + 3*f = 7*f - 1614. Let r = 68\/2757 + -22131119\/27570. Let c = x + r. Find the common denominator of c and -17\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -731836\/69 smaller than -10606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o. Let r(g) = -g**3 - 10*g**2 - 13*g - 1. Let t be r(-9). Let l(f) = 27*f**2 + t*f**2 - 40*f**2. Give l(b(k)).\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13908 is divided by 786?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 2. Let h be w(6). Suppose -t + h*c = -29, 0 + 4 = -c. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9593835 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -183 - -213. What is the greatest common factor of k and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**3 - 383913034*c**2 - 18423652401342160*c - 18423652017429128 = 0.\nAnswer: -95978258, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of ((-32)\/(-6))\/(-2)*(-6390)\/120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**2 - 10*v - 3. Let m(s) = -3*s**2 - 9*s - 3. Let z(o) = -2*h(o) + 3*m(o). Let a = 6 + -12. Let g be z(a). Solve -3*u = -0*u - g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 2. Let q be u(5). Let s = -14 - q. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 + -14. Let t = m - 8. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -10 + 5 - -8) + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**5 + 6*u**4 - 15*u**3 - 18*u**2.\nAnswer: 3*u**2*(u - 2)*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**7\/63 - r**6\/15 + r**5\/30 + 7*r**4\/18 - 4*r**2\/3 - 226*r. Suppose l(h) = 0. What is h?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51472667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 11*o**2 + 10*o + 5. Suppose -s + 10 + 2 = 0. What is the remainder when s is divided by r(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/7, 1.3, -2, 1.13, -3, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 18 = -v, 0 = -511*r + 516*r - 5*v + 35 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 3, k: 3, o: 2, a: 1, j: 1}. Give prob of sequence ok.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 - ((32 - 14) + -15 - 20).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = o - 3*m, 7*o = 12*o - 3*m - 53. Let t(f) = 2*f - 28. Calculate t(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**5\/2 - 15*r**4\/8 - r**3 + 15*r**2\/8 + r\/2 = 0.\nAnswer: -1, -1\/4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 6*j - 4. Let b(q) = q**2 - 8*q + 3. Let a = 6 - -1. Let v be b(a). What is the units digit of r(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*l**2 + 5 - 177*l**2 + 2 - 2.\nAnswer: -258*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**2 - 3*d + 1. Let g be i(-3). Factor -g*l + 3*l**3 + l - l.\nAnswer: 3*l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-10))\/(1\/30). Solve o = 5*o + c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9536 and 36.\nAnswer: 85824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(-98)\/(-35) + 19. Solve 6*x - o*x = -17*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256\/(-4480)*(-1 + (-1 - -1)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 589 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*(14 - ((-56)\/(-392) - (-866)\/63))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 5, l: 5, z: 1, b: 7}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**2 + 2339968*k - 4679952 = 0. Calculate k.\nAnswer: -584994, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: 601 * -11\nAnswer: -6611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s. Suppose -n - 4*b = -0*b - 15, n = -3*b + 10. Let d(f) = 3*f. Let t(o) = 2*o. Let m(y) = n*t(y) + 3*d(y). Calculate m(r(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 2 - (-10 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 21*g**2 - 16*g - 25. Does 43 divide c(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(2\/13)*w))\/(w*w*w**0*w)*w**(1\/2)*w**16\/w assuming w is positive.\nAnswer: w**(347\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 5:55 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, 5, -2\/17?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2.8. Let d = 0 - -0.3. Let q = k - d. What is the nearest to q in -3, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648)*-2)\/sqrt(9).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w**5 + 870*w**4 + 1029*w**3 + 186*w**2 = 0.\nAnswer: -31, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 29*f = -50, -80*f - 159*f = -4*a - 235*f + 40 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r. Suppose 7*m - 63 = -49. Suppose 3*v - 41 = 5*z, 0*z - 3*z - 12 = 0. Let c(h) = m*h + 2*h + v*h - 16*h. Calculate 2*c(y) - 6*f(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 8569, -2 in descending order.\nAnswer: 8569, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 2) to base 10\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apyy. Give prob of sequence pa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.4 + -8.4. Let i = -53\/390 - 2\/65. What is the closest to 0 in i, -2, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1700, -1779, -1856, -1931, -2004?\n\"Answer: u**2 - 82*u - 1619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.443 + -14.4. Let t = -5.043 + h. What is the closest to -1 in 0.01, t, 0.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, m: 4, q: 1, w: 1, j: 5, i: 1}. Give prob of picking 1 e, 1 i, and 2 j.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 0. Let s(c) = 9*c - 4. Let q(g) = -g + 1. Let a = 4462 + -4463. Calculate a*s(t) + i*q(t).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4170048.\nAnswer: 2, 3, 37, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94643, -82325, -70007?\nAnswer: -57689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 458834 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 16, i: 4}. Give prob of sequence iqi.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11339 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: Let d = -6 + 10. Suppose b = -3*o - 7, b - d*o = -b + 16. Let i be (-25)\/(-9) - b\/(-9). Put 1, 2, i in ascending order.\nAnswer: 1, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1024 - 1032) + (32\/7)\/((4 + 1)\/5)?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 5. Let h(l) = -7*l**2 - 14. Let u(p) = 6*h(p) + 17*w(p). Determine u(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 68*v**2 + 65*v - 87. Let t be s(-67). Solve 24 = 51*g - t*g, 2*u + 24 = 4*g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 - 0) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + -122 - -19) + 44?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3\/32, 1\/5, -18 in decreasing order.\nAnswer: 1\/5, 0.1, 3\/32, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 68453192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 207046 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 104*i + 2669. Calculate o(42).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.51 or -2\/13?\nAnswer: -4.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 449, -1 in descending order.\nAnswer: 449, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/96 and ((-12)\/(-108))\/((-6)\/(-71))?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a - 4. Let f(h) = 2*h - 2. Let t(i) = 5*i - 5. Let p(u) = 8*f(u) - 3*t(u). Let l(w) = 7*p(w) - 2*v(w). Let q = -10 + 9. Calculate l(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 110 = 0, 963*j - 13*h = 958*j - 118 - 153 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.17 - 0.03. Let r = 960.3 + -893. Let m = 67 - r. Which is the biggest value? (a) 2\/19 (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2730 + -595141\/218. Let z = y - 425\/2398. Suppose 9 = 5*k - 2*d, 3*k + 2 = 2*d + 5. Put -4, z, k in descending order.\nAnswer: k, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + 2 + sqrt(500)) + (-1 + (sqrt(500) + 1 - sqrt(500)) - sqrt(500) - (sqrt(500) + 2 + -5)))**2.\nAnswer: 880*sqrt(5) + 8121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 + 2*c + 1. Let t be f(1). Let g(z) = -10*z + 5*z + 1 - 3*z - 2*z. What is g(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 77? (a) -2 (b) -5 (c) 4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66 and -8.24.\nAnswer: 543.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33116.4 - 33190.3604. Let i = n + 74. Round i to 3 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {z: 11, e: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*f = -4*b - 355*f - 28, -5*b - 5 = -f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2. Let r(h) = -57*h + 12*h**2 + 57*h + 87*h**2. Determine r(o(n)).\nAnswer: 396*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 2, 36, -20?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -4. Let j(p) = 5*p**3 + 1 - 4*p**2 - p**2 - 4*p**3. Let k be j(m). Which is bigger: k or -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5184, 9079, 15500, 24447, 35920, 49919, 66444?\n\"Answer: 1263*q**2 + 106*q + 3815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 1. Suppose -5*a + w = 43, 2 - 3 = a - t*w. Calculate the common denominator of 39\/10 and (246\/63)\/((-6)\/a).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-34)*p**(-17))\/(p*p*(p*p**(9\/5))\/p*p)**(-5\/16) assuming p is positive.\nAnswer: p**(-99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 103236880 bigger than 103236892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.25 in -5, 0.2, -0.041, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/7))**(-18\/7) assuming q is positive.\nAnswer: q**(72\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-14))\/((-213)\/1491).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141 by -3.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1046575 divided by -5\nAnswer: -209315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1265 - 111454\nAnswer: -110189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121405341?\nAnswer: 3, 1907, 21221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -446 divided by -1?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2175*s - 210981. Give f(-97).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, x: 6, n: 3, m: 2, l: 3}. Give prob of sequence xlml.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4125202, -4125203, -4125204, -4125205, -4125206?\nAnswer: -4125207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1075*s**2. Let d(u) = -u**2. Calculate c(d(k)).\nAnswer: -1075*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 926001896?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41882515?\nAnswer: 5, 8376503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2. Let s(a) = -2*a**2 - 10*a - 195. What is s(g(q))?\nAnswer: -8*q**4 + 20*q**2 - 195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 3*p**2 - 5. Let d(q) be the first derivative of 14*q - 131 + 0*q**2 - 3\/4*q**4 - 8\/3*q**3. What is -3*d(c) - 8*y(c)?\nAnswer: c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1060.65 + 1061. Which is the nearest to 0.1? (a) -2 (b) z (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/((-400)\/32). Sort n, -3\/4, 0.3, 0, -23 in decreasing order.\nAnswer: 0.3, n, 0, -3\/4, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73839570031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 44 = 5*r + m, 5*r - 5*m - 45 = 0. Suppose r - 4 = c. Is 26994\/42 + c + (-4)\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwzzwwz. Give prob of sequence zww.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*v - 0*l + 84, 2*l = 0. Suppose 3*g = g + v. Suppose -3*z = 2*b - 33, -2*b + g = -b + z. Calculate the highest common factor of b and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1859 is divided by 98.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-4) + 0)*(-200)\/(-300). Let m be (2 + (-2 - -2))\/(-2). Let z be m + (27\/(-21))\/(-1). Which is the nearest to z? (a) -2\/21 (b) r (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/4 - 487805*i - 237953718025.\nAnswer: -(i + 975610)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 177 or 197?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21507 + -21259. What is the lowest common multiple of j and 2480?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-14))\/(19\/(-13 - -51))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (11 - (-8 + 10)) - 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 247413, 494823, 742233, 989643?\n\"Answer: 247410*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 758641.\nAnswer: 758641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-1 + 8 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*j + 115*j - 20 = 0. Let r be (19235\/(-70) + j)\/(-15). Let w = -128\/7 + r. What is the common denominator of -127\/12 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -279 - -285. Which is smaller: 11 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (5 + -16) - 14\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 614728067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, k: 1, r: 3, i: 2, b: 2}. What is prob of picking 2 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -k - k + 2, 5*k + 25 = 0. Let b be 2\/((-4)\/g)*2. What is the second derivative of -2*j - 3*j**2 + 3*j - j + b*j wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33096 + -33095. Which is the smallest value? (a) -1\/4 (b) x (c) 2663\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + (1 + -2)*1. Let c be (-4)\/(-1)*m\/14. Let o be (c\/9)\/((-14)\/(-21)). Sort o, -2, 0.3 in ascending order.\nAnswer: -2, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -21*i - 7. Let k be n(-2). Let t = k - 35. Let l(o) = -6*o**3 + 5*o**2 - o + 3. Let w(z) = z**3 - z**2. Let b(f) = l(f) + 5*w(f). Determine b(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -10. Suppose -2*o = -o - 8. Suppose -3*s + o = -4. Calculate the greatest common factor of s and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.982 - -13. Let s = 17995 + -17995.518. Let w = g + s. Which is the closest to 2\/9? (a) -2 (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.98 + -0.78. Let f = z + -3.099. Round f to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*a**3*x**4 - 3*a**3*x**2 - 182*a**3*x + 2*a**3 wrt x?\nAnswer: -552*a**3*x**2 - 6*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*u**3*y**2 + 588*u**2*y**2 - 53*u*y**2 + 2*u*y - y**2 + 8 wrt u.\nAnswer: 30*u*y**2 + 1176*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4888, 16558, 28228, 39898, 51568?\n\"Answer: 11670*p - 6782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 2*z + z)*((1 + 0 + 0)*(1 + 4 - 3) - 1 - 2 - 1 - 594 - 104 - 229) to t*z + y and give t.\nAnswer: -929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 39*o. Let r(b) be the third derivative of -13*b**5\/10 - 2*b**2 - 3*b - 29. Give r(g(k)).\nAnswer: -118638*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(4*-1*sqrt(9)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 118\/3, 3\/5, -2 in decreasing order.\nAnswer: 118\/3, 3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -95.400294 to 2 decimal places.\nAnswer: -95.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 64493 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**3 + 14*d + 0*d**3 - d - 13*d.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 30*t**2 - 16*t - 6. Let c(g) = -2*g**2 + 4*g + 1. Give 10*c(x) + 2*h(x).\nAnswer: 40*x**2 + 8*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6842, 6838, 6834, 6830, 6826, 6822?\nAnswer: 6818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 0*o + 2*o + 170, -170 = -5*c + o. What is the units digit of c*(-1)\/(0 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1470763 to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l + 2*l**3 + 3*l - 3358*l**2 - 7 - 12966*l**2 + 9.\nAnswer: 2*l**3 - 16324*l**2 + 8*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -1\/56*y**4 - 1\/210*y**5 + 0*y - 42*y**2 + 0 + 1\/840*y**6 + 0*y**3. Factor g(f).\nAnswer: f*(f - 3)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*o)*(-8 - 3 + 33).\nAnswer: -66*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2007262599?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2*-3919\nAnswer: 7838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197629, 395269, 592907, 790543, 988177?\nAnswer: 1185809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.234178434 to four decimal places.\nAnswer: 0.2342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {j: 5, v: 9, c: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 2)*(10 - 7*v - 10).\nAnswer: 42*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3650807040 to the nearest integer?\nAnswer: 60422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -365 - -635. Let r be (n\/72)\/(-2*2\/(-144)). Do r and 134 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93*-199477.\nAnswer: 18551361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 0*j - 13*z + 6926, 4*j - 2*z = 27596. What is the greatest common factor of 120 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/24 in -2\/7, -1, -1\/2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19791 - 124172273?\nAnswer: -124172273.19791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-5))\/(6750\/(-50625)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6249 - 6237. Calculate the least common multiple of 480 and a.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b*b**(-3\/14))\/b)*b**(-14)*(b\/b**(11\/4)*b)**(2\/91) assuming b is positive.\nAnswer: b**(-1165\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1573) - sqrt(1573))*-1 + 2 - ((sqrt(1573) + -1 + -1 - sqrt(1573)) + -1))**2 + -3.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -3*d + 5*o, -d + 8*o + 32 = 4*o. Let v(l) = 3*l + d*l + 2*l**2 + 17*l - 3*l**2 - 59. Is v(27) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 1. Let i(n) = -520*n - 6. What is i(m) - 6*s(m)?\nAnswer: -526*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = d - 3. Suppose -b = -2*b + d. Calculate the remainder when b is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6412081806 to the power of 1\/2, to the nearest integer?\nAnswer: 80075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57849 by -3.\nAnswer: 19283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*f*x**5 - 35*f*x**4 - f*x + f + 21*x - 8 wrt x?\nAnswer: 200*f*x**3 - 420*f*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1342 is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t. Suppose 21 = 5*k + 6. Suppose -c + 4 = -k*c. Let z(h) = -4*h - 1. Give c*z(p) - 5*o(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - (8*1)\/(37\/(-74)). Solve s = k + 11*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75643798 is divided by 90483?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 2244 = -15*l. Calculate the smallest common multiple of l and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10)\/((252\/(-90))\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*w - 81*w + 795 = -307 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101 + 100.9862. Round m to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37706?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -317, -1154, -3459, -7976, -15449?\n\"Answer: -124*c**3 + 10*c**2 + c - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o**2 + 60*o - 3. Let n(r) = 10*r**2 + 154*r - 4. Let g(p) = -2*n(p) + 5*z(p). What is g(-3)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - u + 6*u + 4 = 0, 5*u - 20 = 5*s. Let f = 0 - s. What is the greatest common divisor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6938 = -429*x - 425 + 1109 - 12193 for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iisfsiif. Give prob of picking 2 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 418852 divided by 14?\nAnswer: 29918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 + 24*a - 601. Let u be t(15). What is the highest common factor of 238 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 5. Let h = -3 - r. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 1)\/(6\/(-4)). Suppose 27 = h*p - 7. Suppose p = -m + 4*q, 3*q - 2*q = -4*m + 17. What is the remainder when 4 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20833?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7)*-2*-3 - sqrt(7)) + 4 + sqrt(14)\/sqrt(2) + -4.\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -505, -501, -495, -487, -477, -465?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 8*q**2 - 13*q + 38. Let n be d(9). Solve 2 = -2*f - n*m, 4*m - 5 = -f - 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + (-2*1*sqrt(2736) - sqrt(2736))*-6*6.\nAnswer: 1296*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - f + 12. Let g(j) = 1. Let o = 988 + -1544. Let r = o - -555. What is r*n(b) + 6*g(b)?\nAnswer: -b**2 + b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36805\/82 + 897\/2. What is the common denominator of o and (0 + 225\/12)*(-2)\/12?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*y = -107*y - 108. Let l(m) = -31*m - 40*m + y*m - 27*m. Let k(d) = d. What is l(k(p))?\nAnswer: -44*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*a - 4*s - 363, 2*s = -5*a + 626. Let h be 4*-1 - a\/(-30). Let i = -0.11 + 1.11. What is the smallest value in -4, i, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3317 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 22642, 6.2, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10002012210200 (base 3) in base 16?\nAnswer: 18fe1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 423 + 141242?\nAnswer: 142220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 783043*k + 783044.\nAnswer: -(k - 783044)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*r = 17*r + 25*r + 32 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-42)\/3)\/((-14)\/21). Let w be -3 - 15\/z - 4\/14. Let g be ((-1)\/w)\/(5\/60). Solve -g*f = -1 + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*6*3*sqrt(170)*-2)\/((-2*sqrt(10)*1 + sqrt(10) + (sqrt(100)*-2)\/sqrt(10))*3))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7.241263 days?\nAnswer: 625645123.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6635 - -6635.4. What is the fifth biggest value in -5, 0, -14, -2, k?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385) - sqrt(385)*-3 - sqrt(385))\/sqrt(11))\/(-4*sqrt(20)\/sqrt(4)).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/2)\/(-3)*(-161)\/((-51681)\/(-1926))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 669 + -665. Let c(u) be the third derivative of u**2 - 1\/15*u**5 + 0*u - 1\/3*u**k - 2\/3*u**3 + 0. Suppose c(j) = 0. Calculate j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -6. Let b be 32*(-354)\/(-12) + -6. Calculate the remainder when (-1 + 0)\/(b\/(-133) - -7) is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11460*d**3*n**2 - 23*d**2*n*y - 2*d*n**2*y + d*n*y - 3*n**2*y - n**2 - 6*n*y - 34*y wrt d.\nAnswer: -68760*d*n**2 - 46*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 + 0*t**2 - 3 - 17 in the form y*t**2 + a + r*t and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 63164.232ns?\nAnswer: 0.0000000007310675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (177 + -191 - (-16 + 1))*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 3)*(-5*n - 20*n + 2*n) + (0 - 2 - 8)*(0*n + n + 11*n) as w + t*n and give t.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*r - 92*r + 48 = 0. Solve -w - h = w + 2, -h - r = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 47 = -2*w - 51, 4*w - 3*r = -26 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 21*l - 27. Let a be i(-9). Suppose 0 = -8*o - 1 + a. Suppose -o*y + 23 = -7. Solve -2*s + d = 6*d - 26, 0 = 4*s - y*d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-3))\/((-2)\/36). Suppose 74*b = 99*b - 2700. What is the highest common factor of b and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 284856 in 0.4, -0.5, -1\/5, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -99, -376, -819, -1410, -2131?\n\"Answer: 3*s**3 - 101*s**2 + 5*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/1)\/(2\/(-3)). Let t = x - 30. What is the units digit of (-790)\/(-15) + 1\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 + -44. Suppose -20*r - j = -25*r. Suppose 4*v = -3*t + 5*v + 332, -r*t + 440 = -4*v. What are the prime factors of t?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29\/2 of a millimeter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) + 2))**2 + -1 + (4 + sqrt(5))*5 + 4 + (-2 + (sqrt(180) - (sqrt(180)*2 + sqrt(180)) - sqrt(180)))**2 + -2.\nAnswer: 77*sqrt(5) + 1649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60 - 140 - 132 + 235 - 5*f**2 - 3*f**2 to the form z + v*f**2 + x*f and give z.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-5)*(-2)\/(-8*5)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Solve 15 = -5*c - 5*a, -1 - 4 = 4*c - 3*a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 257981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -339, -2179, -7173, -16899, -32935?\nAnswer: -56859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, n: 1, h: 1, t: 2, f: 1, i: 4}. What is prob of sequence tin?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43341431 (base 5) to base 7.\nAnswer: 3105031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-3)*r**3)\/(r*r\/(r\/r**(1\/18))*(r**(4\/3)\/r)\/r*r*r*r))**22 assuming r is positive.\nAnswer: r**(715\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 643855 to the power of 1\/2, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 13, -4, 0.3, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**3\/19 - 250*q**2\/19 - 2*q\/19 + 250\/19 = 0.\nAnswer: -1, 1, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - (-4 - -22))*-3 - 3. Suppose k*h = 64*h - 6. Solve -4*w + 14 = -h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 328*y**2 - 7*y**6 - 315*y**2 + 0*y**6 wrt y?\nAnswer: -840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/3)*k**(3\/4)*k**(-2\/9)*k*k\/(k\/(k*k**5*k)*k)*k assuming k is positive.\nAnswer: k**(331\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13406*-11.\nAnswer: 147466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 16902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166475389?\nAnswer: 166475389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4430690 or 48737592\/11?\nAnswer: 4430690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 101101000110000 (base 2) to base 8\nAnswer: 55060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - g - 4 + (4 - 2 - 4)*(2*g - 3*g + 3*g) - 17*g - 140 + 140.\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2141 - -2138. Which is the closest to l? (a) -9\/4 (b) -2 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c*s**3 - 520*c*s**2 - 17035059*c*s - 49*s**3 + s**2 wrt s?\nAnswer: -24*c*s - 1040*c - 294*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 492 = -6*c. Calculate the highest common factor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1971, -1972, -1973, -1974?\n\"Answer: -w - 1970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73452 or -73461?\nAnswer: -73461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2385934375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4251 - -5114033?\nAnswer: 5122324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 684.855, 2 in decreasing order.\nAnswer: 684.855, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1937914 or -1937916?\nAnswer: -1937914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1. Let m(u) be the first derivative of -u**2\/2 + 5*u + 8. Calculate 6*h(j) + m(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/25*2805\/(-136)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-438)\/(-45) - -2) + 102\/170 and -14\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 140760640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -265 + -4100?\nAnswer: -4365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/35*287\/(-902) - 194\/22.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(2\/1 - 3). What are the prime factors of (-332)\/4*c\/(-3)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 20*g**2 + 22*g + 16. Determine o(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*o - 25 + 2477*o**3 - 96*o - 2480*o**3 + 45 - 26 to p*o**3 + c + w*o + b*o**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3072 - -4684. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 146?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, y: 3, a: 7, i: 4}. Give prob of sequence ia.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -13*n**2\/2 - n + 11. Give i(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 5*g - 17. Let r be h(6). Let s = 13 + r. Let u be (s - (-27)\/(-12)) + (-68799)\/4. Round u to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 630 = 2*s - s + 665, -30*s - 3*i = 120 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 94*u - 1. Let d(s) = 3*s. Give -2*d(x) - p(x).\nAnswer: -100*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -191 - -227. Is w greater than or equal to 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/53 (b) -2328 (c) 3 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 209473\/16 - 13086. Let o = 2749\/18 + -476\/3. Calculate the common denominator of b and o.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 7:26 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = 21*n + 10. Let p(q) = -20*q. Let m(l) = 13*l. Let u(i) = -i + 2. Let z be u(7). What is n*m(t) + z*p(t)?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 - 59. Let m be (-1)\/w*(-16)\/(-1). Let o(n) = n**3 + 9*n**2 - 6*n - 7. What is the hundreds digit of o(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-7)*(-1022)\/(-3). Let b = -231 + r. Is 23 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0.42, 1\/478, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -152 - -150. Let u(n) = 5*n**3 - 2*n**2 - n. Let i(j) = j**3. Calculate k*i(h) + u(h).\nAnswer: 3*h**3 - 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306 + 84 = -36*j + 1047 + 963 for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2\/5, 0.3, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*g + 392 = -27*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, k: 2, y: 2, x: 2, z: 1}. What is prob of sequence kkx?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-502)\/(-36) + (-3)\/(-33)*(-473)\/(-774)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371484 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290343 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16422*-4\nAnswer: -65688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 113686606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*n + 4*n - n)*(0 + 3 - 5) + 4*n + 0*n - 6*n)*((1 - 1 + 2)*(-2 + 6 - 5) - 48 - 69 + 4)*(4 - 2*n - 4) to the form s + t*n + j*n**2 and give j.\nAnswer: -920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (15 - ((26 - 19) + 0)) + (-1 - 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + (-128 - -135)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m - 56. Let f be (34\/4 + m\/7)*2. Suppose -l - 2*r + 11 = -4*r, 3*l = -4*r + f. Which is bigger: 5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-12) + 3 + (-51)\/108\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**0)\/(p**9*p))**(5\/2))**(2\/5) assuming p is positive.\nAnswer: p**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -41317?\nAnswer: -41314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13141 (base 8) in base 6?\nAnswer: 42305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jji when three letters picked without replacement from inniifnfijnnjjrinini.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 26. Suppose n*a - 2 = 10*a. Suppose -b - 2 = 5*u - 0, b - 5 = a*u. Which is smaller: 2\/7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 4*s + 5*l, -3*s + l + 135 = -0*l. Let o(p) = -p - 2*p - 18*p - s*p. Let n be o(5). Round n to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1032421 (base 6) to base 9.\nAnswer: 77124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - (43 + -89)) + 29.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821 is divided by 245?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*h + 1918 - 45*h - 52*h + 52*h)*(-1 - 3 - 5 + 2 - 3 + 0 + (2 - 1 - 2)*(0 + 1 + 1) + 1 + 0 + 0).\nAnswer: -11*h - 21098","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29025 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-396)\/(-330))\/(4\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 262*m**3 - 747*m wrt m.\nAnswer: 1572*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + 681. Let z = -366 + f. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/12*(-6)\/(-8). Suppose 4*y + 18 = 2*i, 3*i + x*y - 2 = 3*y. Let z be (1 + 1\/2)*i\/3. What is the closest to z in -0.4, -8, 1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65\/(-100) + ((-2)\/(-14) - 5307\/3045)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11391.8 (b) 1.2 (c) -0.4 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-3))\/((-1)\/(-6)). Suppose d + d - 20 = 0. Suppose 2*y - d = 0, 5*y = -7*r + i*r + 40. Which is bigger: 7\/4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d. Let x(h) = -19*h**2 - 6*h - 6. Let c be 2*(-3)\/18*507. Let a(s) = 533*s**2 + 169*s + 169. Let m(y) = c*x(y) - 6*a(y). Give m(w(q)).\nAnswer: 468*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -453 or -545?\nAnswer: -453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -663355 (base 11) in base 14?\nAnswer: -1d7ac0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -3*d**4\/4 + 11*d**3 - 57*d**2\/2 + 27*d - 40. Factor c(v).\nAnswer: -3*(v - 9)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 2:41 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.04, 0.4, 2, 44?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9523 - 107506?\nAnswer: -107506.9523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -461*z - 6. Let b be u(-1). Let v be ((-14)\/b)\/(1\/5). Suppose 3*h - 18 = -3*y, 0 = -3*y + 5*h - h - 3. Sort y, 0, v, 1\/2 in descending order.\nAnswer: y, 1\/2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 324.455 - 332.4. Let h = -0.055 + i. Put h, 2, 0.1 in descending order.\nAnswer: 2, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -1921\nAnswer: -576.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4*779\nAnswer: 3116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -503564, -1007122, -1510678, -2014232?\nAnswer: -2517784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -234*b**4 + 3319*b**3\/3 + 5590*b**2\/3 - 468*b + 24 = 0.\nAnswer: -3\/2, 2\/27, 2\/13, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 239650972 and 748.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/11644275 and -127\/300.\nAnswer: 46577100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 4) + -8 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 3*r**2 + r + 5. Let a be l(4). Let b = 136 - 138. Put a, 5, b, -4 in decreasing order.\nAnswer: 5, b, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**3 - 53*u**2 - 2873*u + 8. Let q(v) = -5*v**3 + 53*v**2 + 2870*v - 10. Let w(j) = -4*q(j) - 5*t(j). What is the second derivative of w(x) wrt x?\nAnswer: -30*x + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1070132 divided by -4\nAnswer: -267533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3526 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2 = -13. Is 3 a factor of (4\/(-20))\/(i + (-2912)\/970)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (3 - 55\/10). Does -30 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 17. Suppose -8*a = -6*a - 6. Suppose -56 = -m + z, 0*m = m + a*z - 68. What is the remainder when m is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b. Let d(h) be the first derivative of h**2\/2 - 520*h - 53. Determine d(t(n)).\nAnswer: n - 520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 537060 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 3*w**2 + 2*w - 2. Let o be r(-3). Let f be (o\/3)\/((-26)\/1365). What is the highest common divisor of f and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 9*i - 4. Solve -4*d - 2*c = -10, -i*d - d + 4*c = -19 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 480890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 986.0757kg in nanograms?\nAnswer: 986075700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26139673*g*r - 156814708*g - 10*r with respect to r.\nAnswer: -26139673*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.758 + 0.038. Let s = 0.12 + l. Let f = -1.3 - s. What is the third biggest value in -5, 0, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*m + 960 = 1044. Solve -m*f - 14 = -5*x, -3*f + 4*f - 3*x + 9 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236374249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-3))\/((-6)\/(-126)). Let p be (3 - 2)\/(-1)*-2. Let a be n*(p + (-16)\/(-4)). Calculate the greatest common factor of a and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3036)\/(-165))\/(12\/(-15)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 0. Suppose -5*b = -11*b + 102. Calculate the smallest common multiple of b and i.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + ((-5)\/(-3))\/5. Let l(c) = -c**3 + 55*c**2 + 55*c + 59. Let m be l(56). What is the third smallest value in k, 0.1, m, -2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4933613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-233.8.\nAnswer: 23.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 20*f - 19. Give n(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.4 (b) 1\/8 (c) 179\/36 (d) -5 (e) 0.55 (f) 1\/10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -10*k**2 - 8*k - 2. Let q(b) = 2*b**2 + b + 1. Let y(c) = f(c) + 8*q(c). Let w(n) = 2*n**2. Calculate w(y(s)).\nAnswer: 72*s**4 + 144*s**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**3 - 12*f**2 - 15*f - 6 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4483324360 a multiple of 2005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11024.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*h + 9, -4*t - 3*h + 27 = -9. Suppose -2*k = -t - 5. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*g + 3583, -3*k + 3543 = 615*g - 612*g. Calculate the greatest common divisor of 899 and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2*60\/20.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 521 + -518. Are g and 1\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1, 2, -2, 8, 7 in decreasing order.\nAnswer: 13, 8, 7, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/5, -2\/5, 4097, 0.2, -0.1, -4, -35?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 + (-2 - (1 - 3)). Let v = 13 - y. Find the third derivative of 2*x**6 - x**2 + 3*x**6 - v*x**6 wrt x.\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -149 - -184. Let o = 1967 + -1003. What is the second derivative of 5*z**3 + o*z - q*z**3 - 989*z wrt z?\nAnswer: -180*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52674 and 2?\nAnswer: 52674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 9 = -2*x, w + 0*x - 2*x = -5. Let h be (-1 + 1*-620)*w. Let m = 1388 - h. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {d: 1, k: 11}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/87180 + -84215891\/958980. Let b = -26390\/297 - d. Find the common denominator of (39\/2)\/((-18)\/(-14)) and b.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 + -5.1. Let z = 49 - 95\/2. What is the nearest to -1 in 0, z, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by ((-2)\/3)\/(2\/(-33))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 15 = -3*l. Suppose -l*c - 3*i + 459 + 84 = 0, 724 = 4*c - 3*i. What is the remainder when c is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1621*h + 313560 = -248*h - 346*h - 197*h for h.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3924 + 3909. Which is the nearest to -2? (a) -0.5 (b) z (c) -5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -20. Suppose r*f = 9*f + 2238. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26.16431 and -0.4.\nAnswer: -26.56431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 500238.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1455265687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 14) to base 10\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0. Let n = -3.88 - -4.4. Let l = n + 0.48. Sort -3, l, d in ascending order.\nAnswer: -3, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s - 38*s + 0*s + s + 23*s + 33*s - 3*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139208727 to the nearest integer?\nAnswer: 11799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 70) + (787 - 750).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 515 = 5*f, 4*v = -3*f - v + 313. Suppose 1 = 2*l - f. Does 29 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 11. Suppose -14 = 5*d - 4, -5*t - 5*d + 5 = 0. Let u be t\/12 - 5\/(-12). Which is the nearest to u? (a) 4 (b) j (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 5*x = 5*t + 16, 2*t = -3*x - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 125, 123, 121, 119, 117, 115?\n\"Answer: -2*k + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -15743*r. Let d(y) = -y. What is l(d(q))?\nAnswer: 15743*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 11*g - 56. Let a be l(-4). Let h be 72\/(-27)*(-51)\/a. Solve 7*c + 6 = h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)*z)\/z*(z*z\/z**(-9\/7))\/z*z**27\/(z**3\/z*z) assuming z is positive.\nAnswer: z**(361\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 682433*a - 682393*a + 960 = 0 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0. Let t = 179\/5 - 36. Let z = 0.41 + -0.11. Which is the second biggest value? (a) z (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 65 + 11 = 4*r, r + 5*b - 1 = 0. Solve 0 = -5*k - r + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r + 18. Let t be x(13). Suppose 2*s + 2*c - 64 = 0, 4*s = 3*s - 4*c + t. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**4\/2 - 249*o**3 - 3443*o**2\/2 - 1473*o = 0.\nAnswer: -491, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 5*a - 23. Let c be q(3). Sort 0, c, 6 in descending order.\nAnswer: 6, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 + (-14450)\/(-200) - ((-1014)\/(-8))\/3.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/1431 or -5.8?\nAnswer: -8\/1431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 33. Determine c(32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40093 - -59712. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**7\/i**(-4))\/((i*i**4*i*i)\/(i**(-1\/2)\/i)))\/((i**(-2)\/i*i)**(-1\/2))**(-29) assuming i is positive.\nAnswer: i**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.35 and 1.1?\nAnswer: 6.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.086 - 0.086. Which is the second smallest value? (a) -5 (b) q (c) 2\/5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7494, -0.416, 0.1, 0 in decreasing order.\nAnswer: 0.1, 0, -0.416, -7494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0.8. Suppose 0 = 6*d - 10*d. Suppose d = -4*u - 12 - 0. Which is smaller: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51 and 7?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11\/5, -2\/5, 9, -0.25, -5, -10\/11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: 642816 divided by -108\nAnswer: -5952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5193 to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 101176, 404475, 909970, 1617661?\n\"Answer: 101098*y**2 + 5*y + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -9*s**2 - 614*s - 4213. Let o(n) = -3*n**2 - 197*n - 1404. Let q(y) = -8*o(y) + 3*u(y). What is the first derivative of q(r) wrt r?\nAnswer: -6*r - 266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**2 + 5 - 5)*(-r + r - r)*(-17*r - 5*r + 2*r) to the form f*r**3 + z*r + h + v*r**4 + i*r**2 and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**3 + 3*n + 2. Let o be l(-1). Suppose -m - 4*m = 20. Let z = 7 + m. Solve -z = j - 4*f, f = -5*j + j + o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 1 - 4. Let z(f) = f**2 + r*f**2 - 2*f**2 - 4 - 4*f. Let y = -182 - -178. Let a(k) = k**2 - k - 1. Give y*a(g) + z(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*t + 0 + (5 - 2 - 1)*(2 - 2 + 3*t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (432\/6)\/4 + -2. Suppose 0 = -254*g + 258*g - j. Put -11, g, 2, -1\/3 in descending order.\nAnswer: g, 2, -1\/3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 11:53 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -1\/2, -1, 1.29?\nAnswer: 1.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2318 = -463*o + 341*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 8:59 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 5. Suppose 0 = -v*r - 2*r. Suppose 7 = 4*y - 3*y - 5*a, r = 3*y + a - 21. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 + 108. Let q(m) = m + 5. Give q(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32996 (base 10) in base 13?\nAnswer: -12032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 7*b**2 + 10*b - 30. What is the remainder when z(7) is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from {e: 1, i: 1, j: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 669\/(-892) + 188\/480*2\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 666593244 to the nearest integer?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = w - 5*w, q - 1 = w. Let m = -2.5 + 2. Let g = m + 0.9. Which is the nearest to 0? (a) g (b) 2\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -4*c - 1. Let f(x) = -2*x**2 + 13*x - 2. Let m be f(6). Suppose -c + 3 = m*w. Let v(j) = -4*j - 3. Calculate v(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**5\/60 - a**4 + a**3\/2 + 42*a**2. What is the derivative of q(r) wrt r?\nAnswer: 2*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)*-1*6 + sqrt(243)*1 + sqrt(243) + -4.\nAnswer: -4 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -286 < -276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57.54 - -55.54. Let s = -8 - -7.4. Which is the nearest to l? (a) -1 (b) s (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**7\/105 + 107*n**6\/180 + 517*n**5\/270 + 239*n**4\/108 + 34*n**3\/27 - 1115*n**2. Let h(o) = 0. What is o?\nAnswer: -34, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22996*c*u**2 - 2*c*u - 76725*u**2 wrt c?\nAnswer: -22996*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -10*s + 13. Suppose 25 = 5*a, 4*x + 2*a + 3*a = -15. Is i(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84033 or 83945?\nAnswer: 83945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 2*w**2 + w. Let d(j) = -j**2 - 6*j + 9. Let b be d(-7). Let l be i(b). Suppose -l*x + 9 + 1 = 0. Solve x*f + 5*u + 3 = 18, 4*f - u = 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114378.1 millilitres to litres.\nAnswer: 114.3781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**3 + 626*t**2 + 298768*t + 24075816 = 0.\nAnswer: -142, 597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**6\/2 - 171*l**5\/5 - 555*l**4\/2 + 12150*l**3 - 186375*l**2\/2 + 275625*l + 5092. Solve m(o) = 0 for o.\nAnswer: -35, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6431 is divided by 536.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3343095 and 427916160?\nAnswer: 427916160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152720.\nAnswer: 2, 5, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 56. Let s = g + 20. Calculate the least common multiple of s and ((-27)\/12)\/((2\/48)\/(-1)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5355266 - -5224728. Suppose 0*l = x + l - 10580002, -x + 3*l = -g. Round x to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1502? (a) 5 (b) 0.1 (c) -2\/7 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58919955 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 24*u**2 + 1. Let d(s) = 14 + 2*s**2 - 37 + 23. Give v(d(w)).\nAnswer: 96*w**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 518, 11\/5, -5, 545?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = -6 + 20. Let c be (a + 6)*12\/12. Let q be 10\/5*(-5)\/(-2). Solve -q*o - 12 = c, -16 = -2*s + 4*o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 981284617 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51969, 51970, 51971, 51972, 51973?\nAnswer: 51974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54259743 is divided by 195?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10222 (base 3) to base 2\nAnswer: -1101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1383, -1, -3, 2\/9, -1\/6, -4, -2\/19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 61207 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 0.6. Let v(p) = p**2 + 9*p + 24. Let d = 479 - 484. Let g be v(d). Which is the nearest to -2? (a) 1 (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 23386.\nAnswer: -1\/11693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (36 + -8 + -14).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001962 rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 13.\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**5 + 12*o**4 + 18*o**3 + 12*o**2 + 3*o = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 39 = -3*c, 5*c = 3*a + 13 + 76. Let g be (0*4\/c)\/2. Suppose 2*u = -3*k - g*k + 294, 0 = -3*u + 3*k + 411. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**3*d**2 + 176*a**3*z - 2*a**2*d**2*z + 588211*a*d**2 + 10*z wrt z?\nAnswer: 176*a**3 - 2*a**2*d**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 175?\nAnswer: -3\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 = -16. Let n = j - 36. Is (-563 + -2)*6\/n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 270*q**2 + 2288 wrt q.\nAnswer: 540*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*y = -22, -2 = 4*y + 10. Sort 34, q, -1 in descending order.\nAnswer: 34, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10379 - 114622 = -51*o. Calculate the greatest common divisor of 114 and o.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (16520\/588 - 28)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -214736*d - 1503071. Give h(-7).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/9*180\/(-252)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 451 - 447. Solve -f*o = -7*o + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 4*s + 6. Suppose x = 4*x - 15. Suppose 4*k + 96 = x*u, -3*u - 3*k - k + 32 = 0. What is the remainder when u is divided by i(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/10*16)\/(5*(-3)\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17*(-23)\/10557*2?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 397. Let a(x) = -398. Determine 3*a(c) - 2*u(c).\nAnswer: -2*c - 400","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.159 and 254.\nAnswer: 40.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8948076 divided by -2.\nAnswer: 4474038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/156 and -45\/23036?\nAnswer: 69108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(171) + sqrt(171))*2)\/(sqrt(144)\/sqrt(4)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133696792 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from zzzt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 6*h**2 + 7*h + 2. Let k be c(5). Suppose -5*v = 5*m + 11 - 1, 5*m - 22 = 3*v. Suppose 0 = -5*j + 4*j + m. Solve 2*d - k = -j*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10313*s**3 - 10312*s**3 - 113*s**2 - 7*s + 4*s - 2 + 1 in the form w*s**2 + i*s + a + y*s**3 and give w.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199 - 199. Suppose 2*k - 23 = -5*y, -y + 2*k + 7 + 0 = o. Let r(h) = h + 2. Give r(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 35*o**2 - 157*o + 10. Calculate r(5).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*l + 7544 = 7680 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/45)\/(107912\/(-38540)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3111, 41, 4, 0 in ascending order.\nAnswer: -3111, 0, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 521 and 565534072?\nAnswer: 565533551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5*j + 25, 4*h + 4*j - 25 = -5. What is the remainder when 28 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 2898914211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 1)*(4*i**2 - 4*i**2 - i**3 + (0*i - 4*i + 3*i)*(i**2 + 2*i**2 + i**2)) to the form t*i + j*i**2 + x*i**3 + u and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 8*t**2 - 10*t + 12. Let d be f(9). Let c(w) = w**3 - 5*w + 6. Let q be c(d). Let i = q + -6. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 7. Suppose 1 = -3*m + 16, t = -5*i - 5*m - 8475. Round i to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 36*l = -37458. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)*2 + (sqrt(336) - -1*sqrt(336))\/sqrt(8))\/(4*sqrt(12)\/sqrt(2)*4) + -2.\nAnswer: -2 + 3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4908610 (base 10) in base 11?\nAnswer: 2852a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1620 and 252?\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 51*f**2 - 457*f - 5. Determine d(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2455 and 105615.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-300)\/(-400)*62\/9 and 65\/51.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*d - 9*d. Suppose 7*k - d*k - 12 = 0. Let a be 6\/(k + 0)*2\/(-2). Which is smaller: a or -6\/59?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1262672 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, l: 4, r: 1}. What is prob of picking 3 x and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/5))**10*x\/((x*x**(-3)*x*x*x)\/x)*x**7 assuming x is positive.\nAnswer: x**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 272*o + 5220. Determine t(-19).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6036140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v - v**2 - 1 + 4 - 1 + 2*v**2. Let m = 7 - 11. What is the units digit of f(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -359\/46 - 108\/23. Find the common denominator of k and -103\/124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 5*y**5\/6 - y**4\/3 + 15*y**2 + 19*y. Let v(c) be the first derivative of k(c). Find the second derivative of v(l) wrt l.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u**3 + 104*u**2 - 18*u**3 + 39*u**3 - 7*u**2 + 136*u**2.\nAnswer: 4*u**3 + 233*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43500*c**2 - 40818 with respect to c.\nAnswer: 87000*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, x: 7, o: 7}. Give prob of sequence tto.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 639157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*m**2 + 13*m**2 + 0*m**2 - 27*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j. Let s(c) = -46946*c**2 + 5. Give q(s(a)).\nAnswer: 93892*a**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 159\/2 + 3\/2. Suppose b = f + 5*s, -4*f + 269 = -f + 2*s. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2 - (4 - (-6 - -3))) + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 - 3*f - 2. Let n(j) = -j**2 + 1. Let l(i) = -5*n(i) + x(i). Let a(c) = -c**3 - 7*c**2 - 6*c - 6. Let w be a(-6). Is l(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 284599823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 6*s**2 - 3*s - 12. What is a(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2. Suppose -4*g + 2*g = 2*a - 2, -16 = -4*g + 2*a. Let j(f) = -g*f + 3*f + 3*f + f. Calculate p(j(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + 69. Suppose 5*n = 3*n + y. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*i**3*m + 4677222*i**3*u*z + i**3*z**2 + 119913*i**2*m*z**2 - 282*i**2*u - i*u*z + i - m*z**2 wrt i.\nAnswer: 60*m + 28063332*u*z + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68851 is divided by 8701?\nAnswer: 7944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -42775.971 plus -1.4?\nAnswer: -42777.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4103 = 3*l. Suppose 3*b - l = 2803. Suppose 0 = -q - q + b. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.1 + 4.1. Let u = -196 - -1374\/7. Which is the closest to u? (a) 0.2 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(108\/48*(-2)\/(-6)))\/((-954)\/(-7155)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.3, -0.2, 3\/4, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (1 - 4) - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 541919 is divided by 120?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/3060033?\nAnswer: -1\/3060033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(192))\/sqrt(4) + sqrt(3)*1*-1*4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688249 is divided by 201?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 26 = 2*d, 4*n - 7*d + 2*d - 44 = 0. Solve n*c - 10 = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 7:21 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -3756\/25, 1, -0.4, -4\/7, 2, 5, -5?\nAnswer: -3756\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-84))\/(30\/(-35) + 2). Let n(j) be the third derivative of -u*j**4 + 0*j**3 + 0 + 0*j + 10*j**2. Let c(x) = -41*x. Determine n(c(o)).\nAnswer: 41*o","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -148 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000215 to seven dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2.81, 91, 3, 161, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 + 7a08?\nAnswer: 79f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 0 - 3 - 13*v + 2 - 5. Let j be n(-3). Let b = 38 - j. Solve -9 = -b*g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323631 = 6*d + 323313 for d.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1645\/2 - -826. Let p(n) be the second derivative of -3\/2*n**3 + z*n**2 + 0 + 6*n. Find the first derivative of p(i) wrt i.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -66 - -26. Round b to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*u + 4216 = 0, 3412 - 9730 = 3*n - 4*u. Which is smaller: 1\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 0 - i - 1 + 21. Let y be o(-10). Let r = -15 + y. What is the third biggest value in r, 3, 0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 31, -136, -503, -1070, -1837, -2804?\n\"Answer: -100*h**2 + 133*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 7:42 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -199 + 193. Let w(p) = p**3 + 5*p**2 - 4*p + 25. Let l be w(u). What is the greatest common factor of l and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from vquaavrqdaud.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-161)\/115*-49475 + -24 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5 + 11*u**2 - 1 - 3*u - 2*u - 9*u**2. What is the units digit of j(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.14 - -0.14. Let x = -238\/3 - -80. Which is the third biggest value? (a) 1\/5 (b) x (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1856 + 7493\/4. Find the common denominator of i and (48\/(-98))\/((-4)\/56).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 9*w + 7. Let s be m(4). Suppose 3*u = -s*u + 2244. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1496\/147 or 9?\nAnswer: 1496\/147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1729932 is divided by 333?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 36*k + 340. Calculate i(19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0509 and -10.\nAnswer: -0.509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2*8\/20. Let w = -130 + 126. Which is the second smallest value? (a) 0.06 (b) i (c) -5 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 89221.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30324 - 30348. Let h(x) = x**2 + 6*x - 5. Let i be h(-6). Put v, 2, i in ascending order.\nAnswer: v, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6493, -6338, -6025, -5548, -4901, -4078, -3073, -1880?\n\"Answer: q**3 + 73*q**2 - 71*q - 6496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/((f*f**7*f)\/f))*(f*(f\/(f**(2\/15)\/f))\/f)\/f*(f*f*f*f**(-3\/7))\/f*((f**6\/f)\/f*f)\/f assuming f is positive.\nAnswer: f**(1516\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*t + 209936, t - 419883 = -11*w + 9*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 597, 49.8?\nAnswer: 49.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.37 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2025 (base 14) to base 10\nAnswer: -5521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553 is divided by 182.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26\/213 - -10349\/2769. Calculate the common denominator of k and 93\/560.\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**3\/3 - l**2\/2 - l - 37. Let t(n) = 134 - 136 - 5*n + 0*n**2 - 3*n**2 + n. Give t(k) - 2*x(k).\nAnswer: -k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 5*w = -5*f + 205, -36*f + 3*w = -93527 + 93494 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-2 + sqrt(1377) + sqrt(1377)*-2 - sqrt(1377)) + sqrt(1377)*1*6))**2.\nAnswer: -1296*sqrt(17) + 198324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**5\/20 - p**3\/2 - 29*p**2\/2 - 26*p. What is the first derivative of d(s) wrt s?\nAnswer: -3*s**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/15 + 68*w**2\/15 + 296*w\/15 + 304\/15.\nAnswer: -2*(w - 38)*(w + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 1. Suppose 0 = g - 0*g - 3*p - 17, -d = -3*g - p. What is the remainder when 27 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1643, 3285, 4927, 6569, 8211?\n\"Answer: 1642*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 5:22 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/126 and 185\/98532.\nAnswer: 98532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**9\/28 - p**6\/10 - 12*p**5\/5 + p**4\/24 - 380*p**2. Find the third derivative of m(y) wrt y.\nAnswer: -2160*y**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 608656 by 1.\nAnswer: 608656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*u + 30 = 8*k, k + 3*u + 10 = 0. Suppose -4*y - h = 35, -4*y + 3*h = -5*y - 6. Let o = -3 - y. Is k at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -1.4, 0.1, -10, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mopwmwompowww. Give prob of picking 2 w and 1 o.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4804839, -9609680, -14414521, -19219362?\nAnswer: -24024203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909166824.\nAnswer: 2, 3, 12627317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 11*r + 191. Let y be x(-18). Is 13 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 (base 10) in base 2?\nAnswer: 10001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1839113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 3*j - 7*j + 4*j. Let o(c) be the second derivative of -2\/3*c**3 + 0*c**2 + 0 - c. What is o(z(g))?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1114, 1724, 2726, 4114, 5882, 8024, 10534?\n\"Answer: -x**3 + 202*x**2 + 11*x + 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a + 3. Let z be t(-2). Let f be (z\/9)\/(2\/3). Sort -2, 2\/3, f in decreasing order.\nAnswer: 2\/3, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18, 62, 134, 234, 362, 518, 702?\n\"Answer: 14*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9 - 5260*g + 1 + 5261*g. What is t(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 11*l**2 - 9*l - 27. Determine s(-11).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a**(1\/3)\/a)\/a*a)**(-10)\/((a**(-1\/8)\/a)\/(a**3\/a))*(a**(2\/17)*a**(-2\/7)\/a)\/(a*a**(-1\/13)*a*a**(-2)) assuming a is positive.\nAnswer: a**(-48247\/37128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70168\/15 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.3. Let u = n - 2.9. Let d be ((-1)\/9)\/((-4)\/8). Sort u, 0.4, d in increasing order.\nAnswer: u, d, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000241 rounded to 6 dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 - -5478a48?\nAnswer: 5478a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-2)\/(-4)*(-40 - -32).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 9*y - 6*y**2 + 7 - 16 + 0 - 2*y**2 + y**3. Let s be p(7). Suppose -3*k - 2 = -n, 0 = -3*n + s*k - 2 + 4. Which is smaller: n or 1\/25?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9811769245 - -24.\nAnswer: -9811769221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 1\/3*o**4 - 2*o + 0*o**2 + 0 - 1\/2*o**3. List the prime factors of p(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 9*y**2\/2 - 2. Let m(t) be the third derivative of 14*t**2 + 0*t + 0 - 1\/20*t**5 + 0*t**3 + 0*t**4. Give m(q(v)).\nAnswer: -243*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + (sqrt(832)*3 - sqrt(520)\/sqrt(360))**2.\nAnswer: 65497\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 54033172 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-12) + (-9828)\/1008?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m = 0. Let v be (-1 - (-16)\/12)*9. Suppose 2*c - 49 = -v*w, -3*c + m*c - 107 = -5*w. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 37*f**2 + 3*f - 66. What is the units digit of s(37)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -782 + -29?\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*w**4 + 156*w**3 + 51*w + 3 wrt w.\nAnswer: 84*w**2 + 936*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 5169737?\nAnswer: 5169739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -31\/26, -33, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*o = -24*o - 213822 - 41915. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/79253 or 1?\nAnswer: 1\/79253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ook when three letters picked without replacement from {k: 3, o: 8}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5328 + 5338. Suppose 2 = -g - 8. What is the smallest common multiple of g\/(-45) - 250\/(-9) and y?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppdmmzmdma. What is prob of sequence dam?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-5)\/(-2))\/5)\/((-32)\/(-1936)). Which is the biggest value? (a) -0.3 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/126*3)\/((-76)\/(-1824))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*x + 2 + 8, 4*o + 3*x = 13. Round o to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*f - 3 = 0, 5*o + 3*f + 3 = o. Suppose o = -2*p + 3*z + 18, z = -3*p + 37 + 1. What is the units digit of 1\/(4\/p) + 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 257751 to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 0.3 (c) 3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9333, -74583, -251669, -596505, -1165005, -2013083, -3196653?\n\"Answer: -9319*p**3 - 4*p**2 - 5*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2072973977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 4*u**2 - u - 1. Let m(h) = 10960*h**3 + 240*h**2 + 60*h + 60. Give -m(f) - 60*n(f).\nAnswer: -11020*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*k + 80, -4*l + 122 = 4*k + 34. Let m = k - 30. What is the common denominator of (-70)\/m + (-1 - 1) and -95\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 6*o - 4. Let y = 3 - 7. Let h be j(y). Is 1\/h + 135\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-214 - -1)\/3. Suppose 5*d - o = 35. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10552 + -186?\nAnswer: -10748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/3798 and -59\/6.\nAnswer: 3798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -17\/12, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 4) to base 5\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15282, 30563, 45844?\nAnswer: 61125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/7 and 62\/10503.\nAnswer: 73521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36763*a**3*t*x**3 + 22*a**3*t - 120*a*x + 6*t*x**3 - 10*t*x**2 + t*x wrt x.\nAnswer: -220578*a**3*t + 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-8*f + 8*f - 6*f**2)*(f**3 - f + f) + 2*f**5 + f**5 - 2*f**5)*((0 + 0 + 1)*(0 + 5 - 3) - 1 + 4 - 1 - 15 - 5 - 12).\nAnswer: 140*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5525, -22329, -50407, -89765, -140409, -202345, -275579, -360117?\n\"Answer: -a**3 - 5631*a**2 + 96*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4514404408\/17311215075 + 2\/44964195. Let z = b + 18\/175. Suppose z*n - 2\/11*n**2 + 16\/11 = 0. Calculate n.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 19 + 683 = 0. Are -120 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 19 = -6*x. Let n = -49 - -50. Let b be (-4)\/n*(3 - x). Solve -2*q = -q + b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 5:35 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 30*z + 0 + 88*z - 50*z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.0704\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -225 - 915. Is 38 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 178*n - 25. Is m(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 5*x**2 - 5*x + 1. Let i be b(3). Suppose -3*z = -5*n + 86, -i*n - z + 6*z + 61 = 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: What is the second smallest value in 4, -545, -3, 2, 3, -0.02?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.5, -2, -3\/13 in decreasing order.\nAnswer: 0.5, -3\/13, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2\/7 + 30762*x\/7 - 16767032\/7 = 0. Calculate x.\nAnswer: -15908, 527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*a + 4*a. Suppose 0*x - 3*x = -a. Suppose -g - x = -s + 2, -5*s - 3*g = -80. Calculate the remainder when s is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.786 (b) 0.04 (c) -7 (d) -83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 5*c**2 - 2*c. Let h be ((-3)\/2)\/(27\/(-54)). What is the remainder when 81 is divided by r(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c**2 - 2*c + 2*c - 5. Let d = -10 + 15. Let l(f) be the second derivative of f**4\/4 - f**2 + 208*f. Give d*l(z) - 2*n(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 224 - 224. Suppose f = 6*z - 7*z + 17. Calculate the remainder when 130 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4672*m + 2747166. Calculate t(-588).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggbobghooo. What is prob of sequence bg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(b + 114 - 114).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-8) + (-1311)\/322?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 56*w**2 - 5156*w + 368 = 0.\nAnswer: 1\/14, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4074001687 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2511270 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millisecond in microseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3759 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*b = 579*b - 4188 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -261*h**3 - 27*h**2 + 27*h - 27. Suppose 40*f - 648 = 16*f. Let k(d) = -20*d**3 - 2*d**2 + 2*d - 2. Determine f*k(r) - 2*u(r).\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/108 and -71\/63.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 44*t - 41*t - 12, 0 = -5*j - 5*t - 20 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 102113?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4284909 or -4284877?\nAnswer: -4284909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by ((2\/2)\/(1\/(-18)))\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*h**3*p**2 + 8*h**3*p - 11*h**2 - p**2 wrt h?\nAnswer: 36*p**2 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one halves of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from {e: 5, q: 1, w: 6, r: 2, a: 1, k: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -320660560 divided by -6.\nAnswer: 160330280\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -8\/3*b**3 - 5*b**2 + 11*b - 1 + 1\/4*b**4. Let a be t(9). Solve o = 1 - a, 5*l = 3*o + 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 139\/((-12093)\/4002)*(-6)\/(-12)*-4?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 241178 and 3424.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 379297275 a multiple of 4963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**5\/20 + 5*j**4\/4 - j**3\/3 - 33*j**2\/2 - 1605*j. Determine b(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -8*z + 442. Let c(r) = 3*r - 148. Give -14*c(p) - 5*k(p).\nAnswer: -2*p - 138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*j - y = -6, -3 = -j - 2*y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -195315 (b) -2 (c) 0.1 (d) 0.2 (e) 7 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 3. Let i be 1 - (c + 1) - 0. What is the remainder when (i - -1) + (-35)\/(-1) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.191 to one decimal place.\nAnswer: -22.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + r**3 - 4 - 6*r**2 - 2*r + 0*r**2 + 4*r. Let h be y(6). Suppose 0 = h*f + 5*j - 120, 0 = 5*f + 3*j - 7*j - 234. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-14))\/((3\/(-105)*5)\/1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1. Let f(d) = -6*d + 1. Calculate -f(i) + 3*v(i).\nAnswer: 6*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*u**4 + (-4*u + 5*u + u)*(-4*u**3 + 2*u**3 + u**3) - 2*u**4 + 6*u**4 - 2*u**4 + 6*u**4 + u - u**4 + 7*u.\nAnswer: 3*u**4 + 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 8\/5 and 10170 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 77560839 to the power of 1\/2, to the nearest integer?\nAnswer: 8807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5731*y**2. Let d(f) = 18*f. Give g(d(w)).\nAnswer: -1856844*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Let b = 1 - 0.6. Let o = b + -0.8. What is the smallest value in 3, o, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2855733 is divided by 208?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171857, -171853, -171849, -171845?\nAnswer: -171841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 9, 7, 269, 2 in ascending order.\nAnswer: -4, 2, 4, 7, 9, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f - 849 + 615 = 0. Suppose 0 = 4*o - 13 - 3. Solve o*b + f - 29 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b + 10*b + 13*b**3 + 17*b**2 - 2*b**3.\nAnswer: 11*b**3 + 17*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 14 = 16*j. Calculate the least common multiple of j and 26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 10:24 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -474283\/467928 + -2\/6499. What is the common denominator of -77\/108 and c?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + -5)*(-4)\/10. Let t(w) = -2*w + 2. Let y be t(v). Let u be (-1)\/(1\/y*-2). Sort -4, u, 3 in ascending order.\nAnswer: -4, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/17, -1.8, 3, 458.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(15)*-6)\/((sqrt(147) - (sqrt(147) - (sqrt(147) + sqrt(147)*-2 + sqrt(147)))) + sqrt(147)) + -2.\nAnswer: -2 + 12*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/1 - (-8 + 3). Let w be a - (-4 - (-1 - 2)). Let h(y) = -9*y + w*y + 9*y. Let c(o) = -4*o. What is 5*c(x) + 6*h(x)?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y - 3*y + y. Let o(v) = -2*v - 1. Let i(h) = -1 + 2 - 2. Let a(l) = -i(l) + o(l). Give a(s(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3\/5 + 222*d**2\/5 - 2*d\/5 - 222\/5 = 0. Calculate d.\nAnswer: -111, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 91 = -143. Suppose 5*z = -w - 102. Let k = z + 55. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 5*p - 4. Let f be w(-4). Suppose 2*v + 0*v + 252 = f. Is 2*(v\/(-4) + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 24584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68*i**2 + 237*i?\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = 8*b - 10*b. Suppose -7*d = -11*d + b. What is the remainder when d is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.93 + -16997.5?\nAnswer: -16998.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {e: 9, u: 2, s: 1, a: 6}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2071215 is divided by 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(((l\/(l*l**3*l*l))\/l)\/l))**(-6\/5)\/(((l\/((l*((l*l*l**(9\/2))\/l)\/l)\/l*l*l*l))\/l)\/l**(1\/32)) assuming l is positive.\nAnswer: l**(-331\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 244823 (base 10) to base 9.\nAnswer: 412745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -87, -166, -267, -384?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*o - 7. Suppose 0 = 5*c + i - 17, -c - o*c - 4*i = 0. Suppose -c*p - 4*z = -0*p + 1240008, 8 = -4*z. Round p to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50466\/25 smaller than 2018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 9:33 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-6461)\/(-7))*(-1)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(170) - (sqrt(170) - (sqrt(170) + (sqrt(170) + (sqrt(170)*-2 - sqrt(170)))*2))))\/((sqrt(50)*-1*4)\/sqrt(5)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -33*o - 22. Let a be c(4). Let m = 183 + a. Let d = 34 - m. Put 19, d, -1 in descending order.\nAnswer: 19, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**2. Let h(r) be the third derivative of 7*r**2 + 0 + 0*r**3 + 0*r - 1\/12*r**4. Calculate p(h(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 47 + 12 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/63*(-7)\/(364\/(-786)) - -10\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.03 (b) -0.5 (c) -18201\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 540 and 13346235?\nAnswer: 53384940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -167? (a) 0 (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 2950. Let h(k) = -280*k**2. Give b(h(l)).\nAnswer: -78400*l**4 + 2950","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377319 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -100010?\nAnswer: -22221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15377549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cexo when four letters picked without replacement from zwxecxocecwxeceewec.\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 75067 to the power of 1\/2, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 0 + 1\/35*i**5 + 1\/21*i**4 - 10\/21*i**3 + 20*i + 6\/7*i**2. Solve y(t) = 0 for t.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10970 - 28310 - 4610 = -333*r - 52*r for r.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -188c5 (base 16) to base 3\nAnswer: -12002221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 - s**2 + 0*s**2 + (-3*s + 6*s - 2*s)*(s + 3 - 3) + 9*s - 5*s + s**2 - 9*s as h*s**2 + p + b*s and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 7*a**2 + 34*a + 19. Determine p(10).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12588*o = 6224*o + 6197*o + 2505 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6860.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140436 and 1172624.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 7:48 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v**3 + v**3 - 6*v**3)*(-1 + 1 - v) + 55*v**4 + 58*v**2 - 58*v**2 in the form k*v**4 + n*v**2 + z + m*v + q*v**3 and give k.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -179*r - 108. Let p(c) = -360*c - 218. Let z be (-22)\/(-2) + 1 + -6 + 1. Let u(m) = z*v(m) - 4*p(m). Differentiate u(g) wrt g.\nAnswer: 187","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = 3*l. Let x = -2861 + 2861. What is the nearest to x in 0.03, 4, l?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21774 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/4 (b) 6 (c) 2\/1283 (d) 0.146 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8, 27, 50, 77, 108, 143?\n\"Answer: 2*h**2 + 13*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 637 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155*a - 245*a**2 - 155*a)*(-2*a - a**2 + 2*a).\nAnswer: 245*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c - 2. Let i be (c + -1)\/(2\/(-2)). Suppose -4*w + 15 + 17 = i. What is the greatest common divisor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/1 + (-22 - 4). Let f = z - -25. Factor 2\/5*j**f + 2*j**2 + 6\/5*j - 18\/5.\nAnswer: 2*(j - 1)*(j + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4895200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16350 and 32528325?\nAnswer: 65056650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2395*b + 1697*b + 209154 = -220*b + 1143*b for b.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0067702 to four dps.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.307 (b) -33\/4 (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/3*p - 2\/3 - 2\/3*p**2 = 0. Calculate p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 27. Solve -3*y - n = 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64811?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -233*-0.2.\nAnswer: 46.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/8 of a day?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*(sqrt(76) + sqrt(76) + 2*sqrt(76)*-3 + sqrt(76)*-2*4)\/((sqrt(196) - (sqrt(196) - (sqrt(196) + sqrt(196)*-1)*-4)) + sqrt(196))*4.\nAnswer: 96*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*k - 5*k + 74, -3*y = 4*k - 118. What is the common denominator of 51\/20 and (-327)\/k + (-27)\/(-63)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 26*g + 986. Let p(m) = m + 388. What is p(a(t))?\nAnswer: 26*t + 1374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 13. Let k be 75\/(-90) + (-665)\/(-42). Sort f, k, 1, 5 in descending order.\nAnswer: k, 5, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 909 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 638414 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.76001986 less than -3?\nAnswer: -196.76001986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 0, 207981?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/3*(-1)\/1. Let b be (9 + y)*(-2)\/(-8). What is the third smallest value in -1, b, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56\/15 - -638\/195. Let q = 4 - 3. Do z and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a. Let z(p) = -13*p - 2. Let i(v) = v**2 - 11*v - 475. Let y be i(28). Calculate y*z(m) - 6*h(m).\nAnswer: -7*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Put 30, 13448, 5, 4, -1\/3 in decreasing order.\nAnswer: 13448, 30, 5, 4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/11)*c*c\/(c**1\/c))**(-33)\/(c**(10\/7)\/c**(-1\/3))**(-23\/6) assuming c is positive.\nAnswer: c**(-7843\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14689 is divided by 2099.\nAnswer: 2095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 403\/7. Which is the nearest to h? (a) -0.2 (b) -5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**4\/12 - z**3\/6 - 2*z**2 - 2*z. What is p(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - -14?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 29 - 16. Solve -2*t - 4*j + y*j - 14 = 0, 5*t + 3*j = -13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47742 <= 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -21 - (-5 + -1 - (-34 - -6))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*y - 28735 + 7930 = 440*y for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*n - 4*a, 3*a = 4*n - 4 - 4. Let w be 42\/(-15) - 6\/30. Let b be (4 + w)*(0 + n). Which is smaller: -10\/9 or b?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 70*p - 41. What are the prime factors of l(4)?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-173*b - 681*b + 81*b)*(-4*b + 3*b + 3*b) + 0*b - 2*b**2 + 0*b + (5*b - 4*b + 0*b)*(0*b + 3*b - 4*b) as l + v*b**2 + d*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -758*j**3 + 794.\nAnswer: -2274*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180468 is divided by 251.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 6*j**2 + 4*j + 4. Let h(n) = n**3 + 8*n**2 - 19*n + 16. Let i be h(-10). Determine m(i).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -48165, -48167, -48169?\n\"Answer: -2*z - 48163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4809*s - 13490 = -9312*s + 4693*s for s.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 - 0.5. Let y = 1 - g. Let q = y - 0.7. Which is the nearest to 0? (a) 0.4 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7486 + -5541. Is -0.2 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30312 is divided by 201.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(6292)*2 + sqrt(6292))\/sqrt(4) + ((sqrt(13) - sqrt(13)*2*4) + -2)**2 + 0.\nAnswer: 61*sqrt(13) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2228 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011110 - -100010111100001111010?\nAnswer: 100010111011111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1031*b - 286 = -1057*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2. Let x(h) = 6*h**2. Calculate -12*l(s) - 2*x(s).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-27))\/(60\/(-72))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (6804\/(-280) - -24)\/(12\/(-50))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umz when three letters picked without replacement from {a: 1, j: 2, u: 3, m: 1, z: 6}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -140 + 1538\/11. Let p = 3.99 - -0.01. What is the second smallest value in 0, p, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*o**4 + 5*b*o**3 + 21*b - 4*o**4 + 21*o**3 - 104*o**2 wrt o?\nAnswer: -48*b*o + 30*b - 96*o + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2))**20*g**(2\/11)*g\/g**(-5\/6)*((g*g*(g**1\/g)\/g*g)**46)**(2\/63) assuming g is positive.\nAnswer: g**(-7019\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36.9 - 37. Which is the nearest to 0? (a) 0.4 (b) -1\/38 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwdkl. Give prob of picking 1 l, 1 w, and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 95*d - d**2 + d**2 - 4*d**3.\nAnswer: -2*d**3 + 95*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 9*g**2 - 8*g - 1. Let p be b(8). Put -6, 4, p in descending order.\nAnswer: 4, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 10*u**3 - u**2 - u. Let y be z(-1). Let a = y - -19. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*x - 37. What is the nearest to 2\/5 in -2\/5, x, -10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c - 1. Let v be n(1). Let q(a) = 2 - a + v*a**2 + 2*a + 0. What is the units digit of q(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.17277 rounded to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 4*s + 2*s)*(-19 + 58 + 230)*(2 - 4 + 3) to a + l*s and give l.\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1955)\/(-2) + 7\/(-14). Let o = a - 597. What is o rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -2*h - 5*s, 4*s + 67 = -2*h + 167. Let z be (-39)\/52 + 26\/h. Let i = -5.7 - -0.7. What is the third smallest value in z, i, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73310?\nAnswer: 2, 5, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/534 and 97\/13860?\nAnswer: 1233540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(57)\/sqrt(27) + (sqrt(19) - (sqrt(19) - (-1 + sqrt(19)))*3)).\nAnswer: -6 + 8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3616364 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.041211 - 42.806089. Let y = -0.0527 + o. Let h = y + 43. Which is the nearest to -1? (a) -2 (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 299202064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 249 + 985. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1399, -3, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 297704 and 440?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 44, 15970, 2 in descending order.\nAnswer: 15970, 44, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.92 + 1.8. Let o = 2.3995 + -0.3995. What is the nearest to o in c, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -53.3.\nAnswer: 266.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*i + 98, -2*i + 62 + 66 = 4*v. What is the least common multiple of 6 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**8\/112 - s**5\/30 - 3*s**2\/2 + 4*s. Let u(x) be the first derivative of v(x). What is the third derivative of u(d) wrt d?\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 17, z: 2}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 244*n + 127*n + 119*n - 11*n**2 + (-n - 3*n + 3*n)*(-2*n + 3*n - 3*n) + 2*n**2 + 0*n**2 + 2*n**2.\nAnswer: -5*n**2 + 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 152527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1864.\nAnswer: 5592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13307.1 - -2519266\nAnswer: 2532573.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 15*n**2 + 5*n - 2. What is the hundreds digit of c(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 6986\nAnswer: -55888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222197099?\nAnswer: 37, 6005327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19097708 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137967 is divided by 34487?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -19.757?\nAnswer: -19.757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137*-1826274.\nAnswer: 250199538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 12. Let n = -1\/1050 - -1501\/1050. Let v = n + -27\/14. Which is the second smallest value? (a) x (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*z + 78 = 270*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 3*u + 1. Let l be r(3). Let x be 1 + l + (-50)\/23. Let f = 11\/69 - x. Is f bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 22*c. Let k(a) = -18*a. Calculate k(r(f)).\nAnswer: -396*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/3947955 and 71\/45495.\nAnswer: 35531595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -31944 divided by -4\nAnswer: 7986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 785941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) - 51\/12 - -3. Which is greater: w or 1\/33?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19180094797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 834715 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 8 + -10 + 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/37, 1, 54, -0.124.\nAnswer: -0.124, -2\/37, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**5 - 24*l**4 + 64*l**3 - 8*l**2 - 60*l + 32.\nAnswer: -4*(l - 1)**3*(l + 1)*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/7364 and 62\/35.\nAnswer: 36820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/4154975 and 53\/100.\nAnswer: 16619900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175055.\nAnswer: 5, 157, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*p - 1687 - 345, 0 = -w + 2*p + 684. Calculate the greatest common divisor of 160 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4687.97 - 4610. Let g = -1.461 - 12.609. Let s = o + g. What is s rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.3. Let h = -5 - -5. Let v = h - 1. What is the closest to -1\/3 in v, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 804 = -3*p - 807, 5*p - 4*p + 6*p + 72 = -5*p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - z + 390 + 740 = 0, 5*g + 5*z = 1420. List the prime factors of g.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82.0912 - -86.06. What is v rounded to 1 dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190, -142, -56, 74, 254, 490?\nAnswer: 788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*w - 0*n - 1144, -2*n = 0. Let q = -118 - w. Is q a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*p**2 - 14\/5*p**4 + 0 + 4\/5*p**5 + 0*p + 8\/5*p**3.\nAnswer: 2*p**2*(p - 2)**2*(2*p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -694216*a**3*m**5 - 3*a**3*m - 5*a**2*m + 1128*a**2 - a wrt m?\nAnswer: -13884320*a**3*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 4 = 6*h. Let a be 22\/40 + 111\/(-370). Find q such that -1\/4*q - a*q**5 + 0*q**h + 0*q**2 + 0 + 1\/2*q**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 0*s**2 + 14*s**2 + 17*s**2.\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14411\/16 + 1795\/2. What is the common denominator of l and -57\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -143.\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)*(d*d**(2\/3))\/d)**11\/(d\/(d\/d**(-5))*d*d**(-4)*d\/(d*d*d*d**3*d)*d**0) assuming d is positive.\nAnswer: d**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 3\/14, -5, -0.4, -0.5?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 6*w**2 - w + 8. What is the tens digit of k(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 19*w**4 - w**3 - 20*w**4 - 456*w**2 + 47*w + 457*w**2 as l*w**3 + k*w**4 + n*w + z + g*w**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -393520, -393521, -393524, -393529, -393536, -393545, -393556?\n\"Answer: -u**2 + 2*u - 393521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -4 (c) -0.4 (d) -0.015\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7382177*h**4 + 22281364 wrt h?\nAnswer: -29528708*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1212 divided by 2313\nAnswer: -404\/771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-6)\/9 - -1) + (-26)\/4 and -13\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h - 22. Let r be d(-11). Suppose -8*u + r = -2. Suppose 2*m = -3*m + 25. Solve -m*i = j + 8, u*j - 5 = 5*j - i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**5 - 105*c**4 - 610*c**3 + 10500*c**2 + 11000*c = 0.\nAnswer: -10, -1, 0, 10, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35798 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 109604976 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -4*n - 8, -4*i + 4666 - 4564 = -8*n - 10*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - 2*n - 1. Let u be d(2). Suppose -15 = -2*c - u*h, -3*c = 2*c - 3*h - 27. Solve -c*w = g - 5*w + 3, -g = 4*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.39966 - 16.55655096. Let n = i + -0.0431084. Let g = n + 0.2. Round g to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**4)\/(h**(-1\/9)*h*h)*h**(-2\/17)*h**(-3\/7) assuming h is positive.\nAnswer: h**(2747\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 201 = 2*o, -5*w + 0*w + 117 = o. Suppose -o = -5*t + 63. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-10))\/(3\/(-45)). Let c = v - -22. Solve c*k = -1 - 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 11*h**2 + 2*h - 14. Let j be z(11). Let r(n) = 6 + n**2 - 31*n + 14*n + 9*n. Let t be r(7). Put 4, t, j in increasing order.\nAnswer: t, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1010*o + 3*m + 14 = 1014*o, -3*m = o + 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a4 + -8?\nAnswer: -ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g**4 - 47*g**3 + 11*g**2 + 47*g - 24 = 0. What is g?\nAnswer: -1, 8\/13, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16435668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 12:46 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31.785096 + 0.3.\nAnswer: 32.085096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -1, -5, -0.14 in ascending order.\nAnswer: -77, -5, -1, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-468)\/(-65))\/(-6))\/(3\/(-20)). Solve a + 32 = -8*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2. Let v(j) = 4*j + 36956. Determine v(g(c)).\nAnswer: 4*c**2 + 36956","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(60\/8)\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-2 + (2 + 1 - 5))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44861 is divided by 3053.\nAnswer: 2119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 91155 to the power of 1\/2, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 30 = 39 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*o = 31, -5*o = -4*q - 6*o + 40. What are the prime factors of 1536\/22 + 0 + 2\/q?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -42, -75, -162, -327, -594?\n\"Answer: -4*y**3 - 3*y**2 + 4*y - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5330*p - 5330*p - 333*p**3 + 355*p**3.\nAnswer: 22*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**5\/30 - w**4\/3 - 4*w**3\/3 + w**2 - 1. Let o(k) be the second derivative of q(k). Is o(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/29 (b) -0.1 (c) 3 (d) -7 (e) 504\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.6 - 12. What is the nearest to 4 in m, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 + 0.22. Let x = y - 0.2. Let m = x + 1. Put 0, 0.1, m in descending order.\nAnswer: m, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**5*b)\/(b\/(b*b**9\/b*b))*b\/b**(4\/5)*b**5 assuming b is positive.\nAnswer: b**(106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (61\/(-61))\/(3*4\/6)*1030\/5\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 346, 37, 2, 5 in increasing order.\nAnswer: 2, 5, 37, 346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231010 - -312330111?\nAnswer: 312033101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -421 + -20023?\nAnswer: -20444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + o + 4*u = 28, -44 = -4*o + 4*u. Let s(d) = -d**2 + 10*d - 3. Determine s(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*v**3 + 3*v - 7*v - 4 + 8*v**3 + 0 + v**2.\nAnswer: (v - 2)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9350, 9391, 9460, 9557?\nAnswer: 9682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -619, -16, -5 in decreasing order.\nAnswer: -5, -16, -619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3160*v**2. Let u(n) = 542*n + 6. Determine u(j(z)).\nAnswer: 1712720*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1059126623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102100 (base 3) to base 8.\nAnswer: -462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208895?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1092 = -72*y + 59*y. What is the smallest common multiple of 182 and y?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07436 and -6057?\nAnswer: 450.39852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 82*i + 484. Let y(j) = -463*j + 4624. Let h be y(10). What is x(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - -37. Suppose g - 10 = -3*c, -3*g + 3*c = -r*c - 54. Suppose -2*t + g - 6 = 0. Solve p + 1 = t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t = 29158 + 34943. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 0 + 6\/5*z**5 - 1\/6*z**3 - 4*z**2 + 3*z + 3\/4*z**4. What is the second derivative of b(w) wrt w?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 356263 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-10)*-6 + (-91)\/35. Suppose -3*y = -2*f + 7, 5*y - 3 = 2*f - 20. Sort 11, f, z in descending order.\nAnswer: 11, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 5:34 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524331 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-228)\/(-14) + (198\/(-462) - (-1)\/7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18237629\/7167 + 7634\/3. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -2*k**2 + 1\/2*k**3 - 1\/24*k**4 + 0 + 0*k. Determine f(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4557 times 2\nAnswer: 9114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39785?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*x = -5, 2*w + 3*x + 2 = -3*w. Let c(d) = 37*d**2 + 1. Is c(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/6)\/(7\/(-42)*10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-32)*16)\/26\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - ((-6)\/(-3) - 0). Suppose 9 = -3*h - 6. Let g be (-1 - 1)*h\/j. What is the highest common divisor of 2 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282101 (base 9) to base 11.\nAnswer: 108359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**3\/3 + 2*d. Let j(k) = -6*k**2. Calculate j(m(u)).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10546, -42213, -94990, -168871, -263850, -379921, -517078, -675315?\n\"Answer: g**3 - 10561*g**2 + 9*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 2*x**2 - 2*x**2 + 5*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 + 7. Let b(g) = 2*g**2 + 4. Let s(w) = -5*b(w) + 3*i(w). What is s(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/10)\/(25438\/9085)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 873320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23391 - -11789045\/504. Is -1 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 875167.4 decades to years.\nAnswer: 8751674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 + 0*y**2 + 0*y**2 + (y - y - y)*(5*y - 12 + 12) - 23 + 23 - 8*y**2 to p*y**2 + h + n*y and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 - 47 = -4*d. Let l be (0 - 3)*(-4)\/3. Let w be d\/28 + (-1)\/l. Put w, 0.1, -1\/2 in increasing order.\nAnswer: -1\/2, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 706?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 12, l: 1}?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58*1\/(-2) + 28\/((-56)\/10)*2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 1 + 11 = -g, -5*h + g + 16 = 0. Let r be h\/15 + (-272)\/(-40). Suppose 0 = w - 49 - r. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Suppose -5*f + 295 = -5*p, -f + c*f + 5*p - 89 = 0. Suppose 0 = s + s - f. What is the highest common factor of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -612*u + 1836. Let g be x(3). Factor g + 0*s - 3\/4*s**3 + 9\/4*s**2.\nAnswer: -3*s**2*(s - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 252 divided by -63\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.11 - 0.175. Let x = i + 0.065027. Round x to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qat when three letters picked without replacement from {a: 5, q: 4, t: 10}?\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1160237 to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)*k*k)**(-17\/2)\/(k**(-4)\/((k\/(k*(k*k*k\/(k\/(k**(-19)\/k))*k)\/k))\/k)) assuming k is positive.\nAnswer: k**(127\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*u = -134, -4*c - 3*u + 115 = -366. Suppose 2*q = -b + c, 0 = -b - 4*q + 3 + 129. Is b a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 12:45 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u. Let v be (14\/4 + -3)*4. Suppose -3*b - 2*q + 30 = -b, 0 = 2*q - v. What is the remainder when b is divided by t(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 8*s**2 - 8*s - 7. Let b be f(-7). Suppose 2*g - 7 = m, 4*g + b = 5*m + 5. Suppose g*o - 7*o = 10. Sort 5, -3, o in ascending order.\nAnswer: o, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*k**2 - 126*k**2 + 3163 - 3163.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three quarters of a century?\nAnswer: 12900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/5 - (-132912)\/390) + -4. Solve 4*o = -w + 317 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*w - 2*w - w)*(-w + 0*w - 8*w) + 0*w + 2*w**2 + 0*w)*(-2 + 7 - 4).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*y**5 + 36*y + 11*y**2 - 78*y + 42*y wrt y.\nAnswer: 540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)\/sqrt(4)*-6 + (sqrt(768) + -2*sqrt(768))**2 - -6*(-2*(sqrt(3) - sqrt(27)) + sqrt(27)\/(sqrt(9)*-3))**2.\nAnswer: -24*sqrt(3) + 1010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -q + 11, 2*q - 19 = -3*z. Solve 45*v - 46*v = 0, -15 = -z*j + 5*v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - x - 22 = 0, 3*r + x = -r + 20 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-340))\/((-16)\/(-952))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.937 rounded to 1 decimal place?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - x**2 + 13. Suppose -11*n + 114 + 645 = 0. Suppose -126 = -4*l + 2*c - 40, 3*l + 3*c = n. Calculate the remainder when l is divided by f(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(72) + -4 + sqrt(72)) + (sqrt(72) - (sqrt(72) + (sqrt(72) - (5 + sqrt(72))))) + -2)**2.\nAnswer: -168*sqrt(2) + 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9382 is divided by 107?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -115 + 99. Let h be (8\/r)\/(3\/(-60)). Let a be (-4)\/h + -4 + (-126)\/(-15). Solve 1 = 2*y - a*j - 13, 3*j = -4*y - 27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 59*g**6\/120 + 17*g**5\/60 - 52*g**2. What is the third derivative of q(t) wrt t?\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**2 - 4*q**2 + 3 - 3*q**2 + (2*q - 2*q + 2*q)*(-2*q - 3*q + 7*q) - 3*q**2 + 6*q**2 - q**2 + q**2 + q - q.\nAnswer: 5*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 9*j**4 - 28*j**3 + 57*j**2 + 7*j - 77. Let i(d) = -10*d**4 + 28*d**3 - 58*d**2 - 6*d + 78. Let a(v) = 5*i(v) + 6*r(v). Find m, given that a(m) = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**2 + 14809*k + 0*k**2 + 5631*k + k**2 - 4112*k to the form n + m*k**2 + d*k and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -12. Solve -o + b = -1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6554625)\/(-99) - -30 - 6\/(-9) is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d - d - 11*d - 2161*d**2 - 3*d - d - 70. Let m be w(-4). Round m to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -5*m - 24, -3*z + 4 - 10 = -m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 46*w**2 + 3*w + 10. What is the units digit of f(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*j**2 - 144*j**2 + 72*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -75, -830, 2\/9?\nAnswer: -830","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*l**2 + 131*l**2 - 63*l**2 + 6*l**3 + 5*l.\nAnswer: 6*l**3 + 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/36)\/(-1)*(-5)\/(-10)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6517.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3771 - -5130. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a day in minutes?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2. Suppose -3*a = -6*a - 18. Let p(d) = 19*d**2 + d - 8. Let s be p(a). Let t(c) = 2*c**2 - 670 + s. What is t(y(z))?\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119 - 37. Suppose -2*l + 12 = -y. Suppose 0*b - 3*b = -2*p + 54, -5*b + 38 = 2*p. Calculate the remainder when l is divided by p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*d = -640, 0*w - 4*w = d - 2593. Let b = w - 1979\/3. What is the common denominator of b and 89\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -804*n - 727*n - 775*n - 716*n - 779*n + 3981*n.\nAnswer: 180*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-25)\/15*3 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-7)\/q))\/q)**(-46))**(15\/8) assuming q is positive.\nAnswer: q**(-690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 27 (c) 0.01 (d) -1315 (e) -2\/5 (f) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1732 + -1709. Solve -16*q + d*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 11. Differentiate 2 - 7 + 0*z + 1 - f*z with respect to z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 192097620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 88, 180, 274, 370, 468, 568, 670?\n\"Answer: k**2 + 89*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23.4 - -23.8. What is the smallest value in -4\/5, 3, y?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5655, 11295, 16927, 22551, 28167, 33775?\nAnswer: 39375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26, 42, 58, 74, 90?\n\"Answer: 16*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14199 is divided by 489?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005093 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 97084*t**4 + 88502 with respect to t.\nAnswer: 388336*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4078\/3 + (-50)\/150?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -4 + 0*v + 1\/4*v**4 + 0*v**2 + 8\/3*v**3. What is the third derivative of x(o) wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -249.47638 to the nearest integer.\nAnswer: -249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 - -1) + (-1 - 2). Is (v + 6 - 5) + 2571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 2:39 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*j - 15 = 37*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8308483377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -128*q**3 + 320*q**2 + 640*q. Let o(i) = i**2 + 2*i. Determine h(y) - 320*o(y).\nAnswer: -128*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -297*p + 244*p + 1766225. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2630334 - 254958 - 902361 = -111*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2037, -2032, -2023, -2010, -1993?\nAnswer: -1972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p - 5*p + 3*p + 3*p. Let t(b) = 0*b + 3*b + 3*b - 2*b. What is t(w(s))?\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27861 is divided by 1168?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from lalxaal.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 481997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4359 is divided by 186.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8622*w = -8202*w + 1768*w - 1171*w - 1298160 for w.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.186 + 1.674. Let v = 0.14 + p. Let r be (4\/17)\/(-2 - -4). What is the third smallest value in -5, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -16*u**2 - 34288*u + 103492. Let k(q) = q**2 + 2286*q - 6900. Let s(y) = 3*g(y) + 44*k(y). Factor s(a).\nAnswer: -4*(a - 3)*(a + 573)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109049*p + 30484.\nAnswer: -109049","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 8, 2, -2, 0.2, 3 in ascending order.\nAnswer: -2, -0.5, 0.2, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 2 = 2*v. Suppose 0 = -3*o + s + 2*s + 21, 2*o = s + 10. Suppose o*c = -26 + 107. What is the highest common divisor of v and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1234200 - 1?\nAnswer: -1234201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**31*s*(s\/(s*s\/(s\/(s*s\/s**(-32)*s)*s)))\/s assuming s is positive.\nAnswer: s**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -25*k**2 + 1. Let y be m(1). Let r = -15 - y. Solve -4*p - r = 3*f, 3*p = -2*f - 3 - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 - 61*h**2 - 259*h - 3. What is i(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 5:54 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2577011 is divided by 902.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 9:02 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*z + 6. Let a = z + 1. Suppose 0*f + 8 = -4*f. Which is smaller: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**6\/360 - 11*u**5\/120 + 133*u**4\/12 + u**3\/6 + 4*u + 8. Let w(m) be the third derivative of g(m). What is w(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 63856.5 months?\nAnswer: 53.21375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**2 - 12*o + 1. Calculate j(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 13. Let x(p) = p + 2. What is the least common multiple of -3 + 0 - -3*(-34)\/(-6) and x(h)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 4 + 4 - 5*u**2 in the form h + i*u + l*u**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - f - 19784 = -4*a, -2*a + 19792 = 5*f. Suppose 3004 = 2*h - f. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 7. Suppose -l = -2*r + 29. What is r rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123125.4mm to micrometers.\nAnswer: 123125400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 52*g**3 + 188*g**2 + 256*g + 116. Let w(d) = -154*d**3 - 564*d**2 - 768*d - 347. Let j(z) = 11*t(z) + 4*w(z). Solve j(p) = 0 for p.\nAnswer: -2, -14\/11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 95.944 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/14 (b) 2 (c) -7 (d) 5\/7 (e) -1\/5 (f) -2\/13 (g) 11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 11:16 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twelve sevenths of a week?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.5086420544348 from -1.\nAnswer: -4.5086420544348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - ((sqrt(72) + -1)**2 - sqrt(72))*5)*-4.\nAnswer: -384*sqrt(2) + 1460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0.091815 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**3*r*r*r**(1\/15))**(-4\/13)*(r\/r**(2\/5))**(-2\/9)*(r**1\/r)**(-1\/17) assuming r is positive.\nAnswer: r**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o. Let d(x) be the first derivative of x**3\/3 - 6. Determine d(n(z)).\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16311150 (base 7) in base 10?\nAnswer: 1582686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6317 divided by 5\nAnswer: -6317\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(1920) + sqrt(1920))*-1 + sqrt(1920) + sqrt(1920))*2)\/((sqrt(6) + sqrt(18)\/sqrt(48) - sqrt(48)\/(sqrt(16)\/sqrt(2)))*-4).\nAnswer: 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + -0.33. Let x = -0.07 - -4.07. Let m = -254 + 254.3. Which is the nearest to 0? (a) n (b) x (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52513514.\nAnswer: 2, 26256757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 990 divide 100521630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-1)\/((-2)\/(-8)). Suppose t - 4 = -t. Suppose f*w - 15 = -t*w. Solve 5 = -2*h - w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = -8*o + 50. Let h = o + 100. What is h rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 17.7. Let v = l + -7. Let u(h) = -h**3 - 2*h**2 + 4*h + 4. Let t be u(-3). Which is the second smallest value? (a) v (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*b - 1399*b + 312 = 30970 + 860 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r + 2. Let t(l) = -3. Let k = 549 - 554. Let u = 1 + 1. Let g(o) = -o - 7. Let i(a) = k*t(a) + u*g(a). What is 8*i(y) - 3*w(y)?\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millisecond in nanoseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3380521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/(-182)*-3*3\/12.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5360 + -2418. What is the smallest value in -0.2, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 l when three letters picked without replacement from icicccqicqooiccl.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -r, 0 = 7*z - 2*z + r - 139. What is the remainder when z is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 1.9573 (c) -2\/7 (d) -39 (e) 0.014\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-6))\/(935\/(-748)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4*24\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5 = -3*t, 2*m + 0*t = -3*t + 19. Suppose 0*w + 26 = m*w. What is the highest common divisor of w and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12421963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u - 15. Let z be -1 + 6 + ((-12)\/(-12))\/1. Let i(r) = -7*r + 3 - r - 47. Let o(b) = z*i(b) - 17*v(b). What is the first derivative of o(a) wrt a?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.5, 2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -20. Suppose 44 = c*u + 2. Suppose 3*i - u*i = -32. What is the remainder when 29 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/6)\/((-29)\/12412). Let r = c + 216. Solve 20 = -3*j - r*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 176 = o. Suppose 4 = 5*c - 6. Calculate the least common multiple of c and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-348)\/(-84) - 1\/7. Suppose 0 = 2*r + r - 2*a - 179, x*r - 208 = -5*a. Calculate the remainder when r is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (9 - (6 - (1 - 4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -83 + 351. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/288 and 81\/1640.\nAnswer: 59040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003774508355 to seven decimal places.\nAnswer: 0.0037745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -140380 divided by -1?\nAnswer: 140380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -428604 or -428605?\nAnswer: -428605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 2*y - 2. Let b be i(0). Let u(v) = 8*v**2 - 273*v + 39. Let l be u(34). Sort l, -11, b in descending order.\nAnswer: l, b, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(70) - sqrt(70)*3)*-6)\/(6*sqrt(20)\/sqrt(2)*2).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3186 * -33.28\nAnswer: -106030.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 3*z + 0*z - 13*l - 47 = 2*z - z, 0 = 26*z - 3*l - 113 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 8. Let r be n(11). Let a(j) be the third derivative of 0 + 1\/3*j**5 + 0*j - 1\/6*j**4 - 1\/14*j**7 + 5*j**2 - 19\/120*j**6 + 0*j**r. Factor a(t).\nAnswer: -t*(t + 2)*(3*t - 1)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-83955483)\/8194 - 1\/34. Which is smaller: -10245 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5200000 to the nearest one hundred thousand.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, c: 1, o: 10, b: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -19 (c) 0.3 (d) -22 (e) -0.14 (f) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3511, -4289, -5057, -5815?\n\"Answer: 5*y**2 - 793*y - 2723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 18 = f, 366717 = -7*f + 366591 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**2\/5 + 15468*s\/5 - 30948\/5 = 0. Calculate s.\nAnswer: -5158, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**7\/140 - x**6\/80 + 5*x**2. Solve v(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/77 and 49\/108141?\nAnswer: 756987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 = -35*j - 39 - 100. Solve -j*a + 9*w - 35 = 0, 22 = -4*a - 3*w + 5*w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -12. Suppose 5*z - 4*p - 1 - 27 = 0, 3*p = y*z - 26. Suppose -2*s = -0 - z. Solve 3*u + 5 = -0*u - s*g, -3 = 3*g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-14)\/(-10))*(-90)\/144*12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 5*t + 4. Let p be r(4). Let o = -13 + p. Differentiate -2 - 7 - 7*s**o + 8*s**3 wrt s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(-3*sqrt(11))*6)\/(sqrt(4) + -5*2*sqrt(4) - (sqrt(72)\/sqrt(2))\/sqrt(9)).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6843015 divided by -27.\nAnswer: -253445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/5, 3\/2, 2.\nAnswer: -22\/5, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000151346 to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (338\/(-76))\/(1\/(-2)). Let v = c + -2753\/380. Find the common denominator of v and (-4)\/20 - (-7329)\/770 - 5.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*sqrt(242) + -3 - -6*1*sqrt(242))**2.\nAnswer: -59335 + 2310*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -536 + y**2 - 143 - 3*y**2.\nAnswer: -2*y**2 - 679","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, x: 7, n: 2}. What is prob of picking 3 x and 1 k?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-111)\/60 - -2)*2440\/(-305)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-4))\/(21\/14)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + r = 0, 0*t + r + 8 = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -16. Calculate the remainder when 25 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d - 2*d)*(-3*d**2 - 2*d**2 + d**2).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-297)\/(-6)*(-18)\/(-891)*11\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3 - 48\/(-15)). Let j be 3\/(-5) + (48\/q)\/1. Factor 36*n**2 - 15*n**4 - 2*n - j*n**3 + 6*n - 16*n.\nAnswer: -3*n*(n - 1)*(n + 2)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**3 - k**2 + 6*k + 3. Let n(t) = -53*t + 169*t - 57*t - 58*t + 0*t**3 - t**3. Give 6*n(q) - x(q).\nAnswer: -q**3 + q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1677 - 83851\/50. Which is the second smallest value? (a) 2 (b) 2\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32\/5 of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14240 and -644.8?\nAnswer: 13595.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 < -2.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 368677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + z + 486. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*135\/(-180)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184692 is divided by 378?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25455*j**4 + 23371*j**2.\nAnswer: 610920*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 - 39660*c**3 + 78048630*c**2 + 2368296900*c + 17829406125.\nAnswer: 5*(c - 3981)**2*(c + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 5*c - c + 0*c. Let r be n(1). Suppose -2*v - 3*v + 5*o + 20 = 0, 0 = -o - 3. Which is smaller: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*k + 116 = 0, 4*k - 5 = -21. Let f = 31 + c. Calculate the common denominator of 61\/20 and (-47)\/(-6)*9\/f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 685183, 685182, 685181, 685180, 685179?\n\"Answer: -m + 685184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 334, 361, 430, 559, 766?\nAnswer: 1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4272 divided by 15\nAnswer: 1424\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1558\/65 - 24. Let c = -142 + 147. Suppose 55*l + c = 50*l. Is l at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-6) - ((252\/(-54))\/14 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -44. Let g = -12 - t. Suppose -50 = -s - 5*v, 4*v + 21 = 2*s - g. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12408233?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 687 + -54. What are the prime factors of y?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 5*v + 20, -s + 4*v = -89 + 74 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 36*k - 37*k + 3 - 9. What is u(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*b = 7*d - 55, -4*d - 5*b + 44 = 0. Let y = d + -8. Let o(w) = w**2 - w + 3. Let t be o(0). Is y at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 3*d = -5*k - 10, k + 6 = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**4\/6 - 7*z**2\/2 - 3*z + 384. Let h(y) = y. Determine h(s(v)).\nAnswer: -2*v**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v + 3*v + 2214 = 141*v for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q + 25 = -15*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**4 - i**3 + i**2 - i. Let k(u) = -36*u**4 + 6*u**3 - 6*u**2 - 21*u + 2. Let o(q) = 6*a(q) + k(q). Find the second derivative of o(s) wrt s.\nAnswer: -504*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166865 - 166865 - 17*f**2.\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 61033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 643*l**3 - 3168*l + 9. Let f(x) = -286*x**3 + 1584*x - 4. Give -9*f(i) - 4*z(i).\nAnswer: 2*i**3 - 1584*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2009800 and 33800?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-2) + (1 - (-24)\/(-20)). Let m = -7819 - -7819. Which is the nearest to 2? (a) m (b) -3 (c) 1\/3 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 0\/2 + 5. Suppose 0*w - 4*w = -20. Suppose 14 = w*q - 11. Solve -x*f - l + 19 = 2*l, 7 = 3*f - q*l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 14*s - 10. Let m be x(-13). Suppose y + 23 = -5*w, -m*y - 2*y + 5*w + 35 = 0. Solve 10 = -y*v + 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 96, 92, 88?\n\"Answer: -4*u + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3939140 divided by 5?\nAnswer: 787828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 7. Suppose -2*n - 12 + 4 = 0. Let z be 12\/(-21) + (-3 - n). What is the second biggest value in z, p, 1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487163?\nAnswer: 23, 59, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32.56 + -30. Let r = -2.6 + u. Let t be (-2)\/(-7) + 22\/(-28). What is the third smallest value in t, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11211 - -3?\nAnswer: 11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 - -468. Suppose -5*z + t = -9. List the prime factors of z.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 845.1847ml to litres.\nAnswer: 0.8451847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1324*k - 1328*k + 152. Solve -14 = -6*i - k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/(r*r**(-12)*r*r))*(r\/(r**(-22)\/r))\/r assuming r is positive.\nAnswer: r**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847005.\nAnswer: 3, 5, 56467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11584310 to the power of 1\/2, to the nearest integer?\nAnswer: 3404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4479099 millennia?\nAnswer: 5374.9188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.5915602 and -107603.\nAnswer: -107607.5915602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000065359 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 10\/2 + 2. Let j be 2358\/f - 12\/(-24). What is j rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 - 1 - 157*h + 35 - 2 in the form a*h + v and give a.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aaf (base 16) to base 7.\nAnswer: -10655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 19. Let w(d) = 5*d + 8*d**2 + 5*d**2 + 7 - c. Is 35 a factor of w(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -0.0839306?\nAnswer: -0.0839306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 0.058, -8\/61, -47, -4?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(m**2 - m + m) + 1 - m**2 - 1.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**(7\/5)\/p)\/p))\/(p**8*p))**(1\/25)\/((p**1*p*p\/p**(2\/5))\/((p\/p**(1\/3)*p)\/p*p**(1\/4))) assuming p is positive.\nAnswer: p**(-2969\/1500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92206971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**0\/g))**(-50)\/(g**(2\/3)\/g*g)**(8\/9) assuming g is positive.\nAnswer: g**(-2716\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 7*a - 13. Let r be n(-2). Solve 3*j + r = 2*x, -2*j + 3*x = -j - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -2, 219\/17, 4\/7, 3 in descending order.\nAnswer: 219\/17, 5, 3, 4\/7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 8:03 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 44*p + 2229. Let z(t) = -155*t - 6687. Give 7*g(o) + 2*z(o).\nAnswer: -2*o + 2229","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1438 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000139844307 to seven dps.\nAnswer: -0.0001398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 69?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpb when three letters picked without replacement from pvciipbbbdbp?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1451634675 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/(-1386))\/((-126)\/5733).\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0299567807 rounded to 5 decimal places?\nAnswer: 0.02996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32.41 + 0.59. Let c = 145 + -177. Let n = c + r. What is the third biggest value in 5, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 714769*k**5 - 3*k**3 - 695652*k**2 - 2.\nAnswer: 42886140*k**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 - -103. Suppose -2*t + 5 = -3. Solve t*k = 5*j - 33, -1 = -4*k - 2*j + w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttzttataz. What is prob of sequence tatz?\nAnswer: 28\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 4, 9, -4 in ascending order.\nAnswer: -4, -2\/21, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2 + 100*b - 88*b + 2. Let g(h) = -3*h. Give g(f(i)).\nAnswer: -36*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 1\/5, 50, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -6 - 114. Suppose -11*c + 6*c + 70 = 0. Suppose -2*p = 2*w - 42, 1 + c = 3*p. Calculate the greatest common divisor of y and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 17*r**2 - 15*r + 18. Let m be g(-16). Suppose 3*u - 2*l = 128, 2*u + m*u = 5*l + 159. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 635314674 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: What is the sixth root of 108507913 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/155 or -1.9?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -434\/3 + 146. Suppose 3*y + 1 = -o, -11 = -2*o + 5*y - 2. Which is smaller: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 44195, 58217, 72241, 86267?\n\"Answer: x**2 + 14019*x + 30175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2753430529 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5*r - 98, -a - 3*r + 142 = 4*a. Are a and 26 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25724.\nAnswer: 2, 59, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4398 (base 13) in base 15?\nAnswer: 2bd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - 32468 - m**2 + 15721 + 16746.\nAnswer: 3*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 17*s**3\/6 + 45*s - 88. Let p = 0 - -2. Let o(i) = 2 - 2 - p*i**2. What is r(o(g))?\nAnswer: -34*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 27*s**2 + 44*s + 5. Let l(d) = 17*d**2 + 29*d + 4. Let i(u) = -8*l(u) + 5*q(u). Determine i(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2603*f**3 + 1077*f**3 - 5*f**2 + 1.\nAnswer: 3680*f**3 - 5*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24927973 and 866223?\nAnswer: 224351757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -6*p + 7*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -154 - -136. Let q be (t\/(-12))\/((-7)\/(-2)). Put q, -0.4, 2, 0.3 in descending order.\nAnswer: 2, q, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l - 7. Let q be z(-6). Suppose q = 4*f - k, -24 = -3*f - 6*k + 3*k. Solve c + 16 = f*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2677 (base 8) to base 4\nAnswer: 112333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 104 + 32. Suppose 18621 + 139938 = d*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(-29))\/(434\/(-28)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**4\/24 + 4*w**3\/3 - 2*w**2 - 9*w - 54. Give h(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195481411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z**4\/5 - 1876*z**3\/5 + 624*z**2\/5 = 0 for z.\nAnswer: 0, 1\/3, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23145, -23138, -23125, -23106, -23081, -23050?\nAnswer: -23013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-12))\/((-3)\/(-54)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*c**4 - 21*c**3 + 15*c**2 + 12*c.\nAnswer: -3*c*(c - 1)*(c + 4)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 1024?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*t = 5562, -t = 2*j - 1378 - 839. Round j to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -34*z - 6 + 6*z + 13*z - 32*z. Does 26 divide g(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929135407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1682 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n - 42. Let r be 4\/n + (-121)\/(-7). Let p = r + -10. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 122647 + 264963 - 111910.\nAnswer: 3*u**2 + 275700","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggfgjfggjgf. Give prob of sequence fj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -8*m**3\/3 + 10*m**2 - 8*m - 598. Solve y(o) = 0 for o.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 599378341?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32\/15? (a) 2\/43 (b) 7\/5 (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1146, 2\/11, 5, 2, -0.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8251 + 173272\/21. Which is the closest to 0.3? (a) s (b) -11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -5 (c) -3 (d) -133 (e) 0.1773\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**9\/378 + t**5\/8 + t**3 + 4*t. Let f(d) be the second derivative of j(d). Find the second derivative of f(c) wrt c.\nAnswer: -160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3\/7 + 71028*x**2\/7 - 645410370*x\/7 + 261037317200\/7 = 0. Calculate x.\nAnswer: 424, 17545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooyooooyo. What is prob of sequence yo?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*a + 2*a = 0, 2 = -b - 3*a. Suppose s - 7 = -f, -11 = 2*f - 5*s + 3. Put -4, f, b in decreasing order.\nAnswer: b, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 8, -3*c - 3*x + 20067 = -768. What are the prime factors of c?\nAnswer: 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5*(((-2*sqrt(704))**2 + sqrt(704) - sqrt(704)) + 5 + sqrt(11) + sqrt(11)*1 + 1))*-1.\nAnswer: -14110 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-70)*(-140)\/(-56))\/(-2)*8.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 0*i + 0*i + (5 - 1 - 2)*(-3*i**3 + 4*i**3 + i**3).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2973 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2184362653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64616 and 59888.\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 2202.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213, -190, -163, -132, -97?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 4*p - 12, 0*p = -a + 3*p - 2. Solve -40\/11*v**3 + 0*v - 8\/11*v**5 + 0 - 34\/11*v**a - 8\/11*v**2 = 0 for v.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148950956071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2488*-0.2\nAnswer: 497.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/7)\/((-6)\/(-40)*-2). What is the nearest to p in -1, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 13. Suppose 0 = 2*i + 2*j - g, 2 = -2*i + 2*j - 0. Suppose -t + 75 = i*t - x, -5*x = 3*t - 93. Solve -5*v + 25 = 2*o, 2*o - t + 6 = -4*v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3998021 weeks to hours.\nAnswer: 67.1667528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/96)\/((-10)\/(-140)*-12)\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 3, -2\/5, -4, -3 in descending order.\nAnswer: 5, 3, 2, -2\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.222929 millilitres?\nAnswer: 0.006222929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewye when four letters picked without replacement from {w: 3, y: 8, e: 6}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -114, -3.\nAnswer: -114, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 502995021 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h + 214 = -2*f, -f - 91 = -3*h. Let y = 106 + f. Which is the second smallest value? (a) y (b) -0.09 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.33 + -4.33. What is the third smallest value in 1, j, -0.07?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -3*s. Suppose -5*z = -s*z - 90. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -71 in descending order.\nAnswer: 1, -2, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0 + 13 = 3*s, 4*s = -2*w + 30. Factor c**2 - w*c**2 - 58*c - 2082 + 2070.\nAnswer: -2*(c + 3)*(9*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 20285376?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58060*v**4 + 10*v**2 - 94764069*v wrt v?\nAnswer: -696720*v**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 + 42 = v - i, 0 = -v + 5*i + 204. 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 = 11 + -34\/3. Put z, -2\/7, 0.3 in decreasing order.\nAnswer: 0.3, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/4 of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 4*r + 16, 3*r + 20 = -3*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c*c*c**(-1\/3))\/c))**(-2\/41))**(-49)\/((c**0)**(-4\/7))**(-2\/25) assuming c is positive.\nAnswer: c**(98\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5 = v, 0 = -2*v + 3*v - 5*p + 30. Let n(z) = -2*z**2 + 6*z + 7. Let d(t) = t + 1. Let x = -72 - -73. What is v*d(a) + x*n(a)?\nAnswer: -2*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*m = 140*m - 4182. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g**3 + 0*g**3 + 3*g**4)*(2 - 5 + 5) - 3 + 15 + 186*g**4 - 10)*(-2*g + g + 4*g).\nAnswer: 576*g**5 + 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Suppose -3*d - 1 = -3*y + 26, -18 = -s*y + 3*d. What are the prime factors of 54\/5 + y\/45?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -511210 by 109.\nAnswer: -4690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34129 (base 12) in base 3?\nAnswer: 10112001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2773 + -1891. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/147443 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -39*f + 89*f + 6 + 3*f**2 - 41*f = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 118 and 196.3.\nAnswer: 314.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 - 2*m**2 + 0*m**2 + 613*m**2 + 3 - 288*m**2 + 124*m**2 + m**2 - 3*m**2 + 3*m**2 + (5*m + m - 4*m)*(2*m - 2 + 2) + 0 - 2*m**2 + 0.\nAnswer: 450*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/((n\/n**(-2\/5))\/n))\/n)**(-3\/25)\/((n*n*n*n**5)\/(n\/n**(5\/4)*n)))\/((n*n**1)**(12\/13)\/(n**(-1\/2))**(1\/5)) assuming n is positive.\nAnswer: n**(-60243\/6500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 - 3*g**3 + 13*g**3)*(4 - 13 + 1).\nAnswer: -64*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/20)\/(6\/15)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3051 - 94556\/31. What is the common denominator of d and 12\/11?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.641 rounded to one dp?\nAnswer: 48.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 7 - (11 - 1 - (-42 + 77)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d. Let n(x) = -5*x**2 - 75163*x - 126. Determine k(n(u)).\nAnswer: -5*u**2 - 75163*u - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -439 - -438.9999997688. Round a to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -258391*b**6 - 28039*b**2 wrt b.\nAnswer: -31006920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 78722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15694.\nAnswer: 2, 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2674*y - 2755*y - 2462*y in the form j*y + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*l**5 + 10*l**4 - 10*l**4 + (0*l + 3*l - 2*l)*(-l**4 + 3*l**3 - 3*l**3).\nAnswer: -21*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 41.334 times 1066\nAnswer: 44062.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - -30. Let z = -59 + k. Is z >= -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/18)\/(8\/48). Suppose 3*l - 3*w + t = 2*l, 1 = 3*l - w. What is the biggest value in -4, -0.1, l, -1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 10*i - 3. Let q(o) = 3 - o**3 + 0*o**3 - 8 - 3*o + 6*o**2 + 0*o**3. Let a be q(5). Is d(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, j: 8, h: 1}. Give prob of picking 1 j and 2 o.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3 = 3*w, 3*w + 123*y - 3 = 120*y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10692102 rounded to 4 decimal places?\nAnswer: 0.1069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3\/10, -3, 2.\nAnswer: -3, -1\/3, -3\/10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 15*i - 2250 = 9*i. Solve -11*d + i - 805 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t. Let m(r) = -r**2 - 408064. Calculate m(w(l)).\nAnswer: -25*l**2 - 408064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 233751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444621 is divided by 444288.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -40745 to the nearest one thousand.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-309018 + 529*s + 309018)*((-1 + 2 + 0)*(-4 + 1 + 1) + 0 + 0 + 3).\nAnswer: 529*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1220*h**3 - 7*h**2 + 46*h - 1.\nAnswer: 7320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -53 + 213 + 21*q - 91. Calculate v(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23626 - 14197. What are the prime factors of i?\nAnswer: 3, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q**2 + 38*q - 11. What is f(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12907349 and 3066?\nAnswer: 77444094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/18235 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1708 is divided by 126?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5962032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d**3\/11 + 266214*d**2\/11 - 532446*d\/11 + 266226\/11 = 0. What is d?\nAnswer: -44371, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 1:54 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273633818.\nAnswer: 2, 109, 1255201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 14. Let f be v(-5). Let b(j) = -323*j - 7. Let m be b(f). Round m to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13333311 - 1221?\nAnswer: -20001132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-4 + 6) - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) 8 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8302853, 8302855, 8302859, 8302865?\n\"Answer: n**2 - n + 8302853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 2)\/(2\/(-8)). Suppose 35 + 13 = 8*a. Solve b*w + 10 = -a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26823, 53691, 80559, 107427?\n\"Answer: 26868*c - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - m - 111, -81*m - 57 = -2*q - 80*m. Let p be (48\/q)\/(3 + (-11)\/11). Factor -2\/9*j**3 - 2*j**2 - 22\/9*j - p + 2\/9*j**4.\nAnswer: 2*(j - 4)*(j + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23273 is divided by 194.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2.99. Let o(m) = 3*m - 64. Let d be o(25). Suppose 10*z = d*z + 2. Put -3, z, l in decreasing order.\nAnswer: l, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/((376\/(-2256))\/(28\/9)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99150.\nAnswer: 2, 3, 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 440.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 + -3*75\/(-9). Suppose 6*z = -0*z + s. Solve 2*j = -4*q + 18, 0*q = -z*j - 3*q + 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1446 = -467*o + 169*h - 85*h - 83*h, 0 = -4*o + h - 57 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -12*x - 3. Let v be t(-1). Suppose -10*l - v = -13*l. Solve -9 = 4*d - 5*f + l, 0 = -d - 3*f - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxnnxgh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*508893.\nAnswer: -1526679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -579667.54 to the nearest one thousand.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28531 - -28533. Let n(z) = -61*z + 128. Calculate n(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(2\/(-52)*2) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 181 and 4369.\nAnswer: 4550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlnlnnnlnllnnn. What is prob of sequence ll?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1499999\/16485495 + 568\/4973. Find the common denominator of 31\/4 and g.\nAnswer: 13260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/15)\/((-2)\/10 + 18\/630). What is the third smallest value in q, 2\/7, 16, 1\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25*3\/(-90)*2*(-3)\/(-10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 2*d - 5 + 1, -3*z - 5*d + 17 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g + g + 2*g + (14*g - 12*g + 7*g)*(3 - 6 + 0)*(0 + 0 + 1) to a*g + n and give a.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10\/3, -1\/12, 1\/10, 3.4?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23784, -48351, -72908, -97449, -121968, -146459, -170916, -195333?\n\"Answer: w**3 - w**2 - 24571*w + 787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -576 (b) -1 (c) 0.3 (d) -5 (e) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7 - 3 + 2*v - v + 2. Let u be g(10). What is the tens digit of (88\/2)\/u - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**3 - 11*g**3 - g**3 + 2*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -413 (b) 0.8 (c) -59 (d) 0.3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*q + 16*q - 11*q**2 to the form v + g*q**2 + m*q and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 - 280*n**3 - 5145*n**2 - 30870*n.\nAnswer: -5*n*(n + 14)*(n + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8091323 is divided by 934?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 11101110?\nAnswer: -11101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4273 = 54957*p + 55032*p - 109603*p - 6921 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21927725 to the power of 1\/2, to the nearest integer?\nAnswer: 4683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 507038, 24 in increasing order.\nAnswer: 3, 24, 507038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -m - 3*m. Suppose 0 = n - 2*n + 2. Solve m - n = -2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.97 - 8.9. Put r, 0, -2\/9 in decreasing order.\nAnswer: r, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 2*q - 31. Let z be a(5). Suppose z*o = -6*o + 16*o. Factor -6\/11*v**4 + 0*v**2 + 0*v + 2\/11*v**5 + o*v**3 + 0.\nAnswer: 2*v**4*(v - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 9:40 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = p + 4*p. Suppose s + 5*c = p, -4*c - 54 = -2*s - 2*c. Suppose -5*b + 4*z = -s, -3*b + 15 = -0*b + 2*z. Sort -3, b, -4 in decreasing order.\nAnswer: b, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -716*h - 65867. Give d(-92).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i - 4. Let v be x(-6). Let o = -5871 + 5877. Suppose -v = y - o*y. What is the lowest common multiple of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 15*x - 15*x + 3*x**2 - x**2 + 6*x**2 - 3*x**2 + (-4*x**2 + x**2 + 5*x**2)*(-10 + 25 + 2) to the form v*x + l*x**2 + b and give l.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 517 + -517. Solve -y + g*y - t = -2, 3*y + 4*t = 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -13*t + 79. Determine a(10).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 + 2*p**4 - 5*p**4)*(p - p - 2*p) + 3*p**5 - p**5 + 2*p**5.\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05584445 to 4 decimal places.\nAnswer: 0.0558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 8879559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21815*o - 4*s - 64 = 21816*o, 2*o + 53 = -3*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(91 - (1 - -1)). Suppose 33 = -4*y + p. Does 14 divide 4\/14 - (-388)\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -4016, 3, -1, -3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -621836100 rounded to the nearest 1000000?\nAnswer: -622000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*i = -178*i + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 4*r**2 - 2*r**2)*(2*r**3 + 5*r**3 - 5*r**3) - r**5 + r**5 - 2*r**5.\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*n = -9001 - 1510 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 2*h**2 + 6*h + 11. Let z be g(0). Suppose -4*x - 4830 = -z*x. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**5 + 426*f**2 wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 3. Let m = -20 - -16. Let d be 252\/(-70) - m\/(-10). Calculate z(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.17612 and -32.\nAnswer: -5.63584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9739811 a multiple of 412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 42*p**3 + 380*p**2 + 17*p - 7. Let g be t(-9). Factor -y**4 + 0*y**3 + 1\/4*y + 3\/4*y**g + 0.\nAnswer: -y*(y - 1)*(2*y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-575)\/(-65) + -5. What is the closest to -0.1 in 1\/16, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g + 2*g = g - 54 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1758644938 to the power of 1\/2, to the nearest integer?\nAnswer: 41936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 29*j**2 + 199*j + 3. Give p(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + 0*i + 0*i)*(7 - 3 - 2)*(-4*i + 16*i - 10*i - 5) in the form c + p*i**2 + v*i and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i + 0*i)*(1 - 1 + 2*i**3)*(515*i + 909*i - 244*i).\nAnswer: -4720*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29152153 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108389, 433563, 975519, 1734257, 2709777, 3902079, 5311163?\nAnswer: 6937029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -673 + 349 - 2*i + 351. What is the remainder when 18 is divided by a(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 3)*(-23*h + 7*h + 72*h)*(-1 + 5 - 3).\nAnswer: 112*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b*b\/b**(-6)))**21)**(-1\/9))**(-14\/11))**(-5\/7) assuming b is positive.\nAnswer: b**(490\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -7. Let x = v - 8. What is the nearest to -1 in x, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-4) - 2\/(-4)*0. Let q = -21 + 23. Solve -w - q*w - s = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 2*q - 3. Give v(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**4\/12 - r**3\/6 - 4*r - 7. Let m(w) be the first derivative of p(w). What is the second derivative of m(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 3*s - 1. Let h = -8 + 11. Let j be x(h). Which is greater: -3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/12 - -329\/372. Let s = 33\/62 + n. Which is the nearest to -1\/3? (a) s (b) -3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446268 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8656 is divided by 8\/(-14) + 3419\/91.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 5. Let c = -26 + 21. Let t(y) = y**2 + 2. Calculate c*t(j) - 2*p(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 q when three letters picked without replacement from veheqeheq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1536?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 321289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 51\/2, 1307, 2, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.639 - -4.761. Which is the fourth smallest value? (a) v (b) 0.2 (c) 1.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**3 + 11*q**2 + 7*q. Suppose -5*d + 35*d = -180. Let h(z) = -3*z**3 + 6*z**2 + 4*z. Determine d*j(c) + 11*h(c).\nAnswer: -3*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (31\/(-7) - -1)\/((-57)\/1596). Calculate the highest common factor of p and 1696.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6171*a - 7262. Let t(z) = -9256*z + 10872. Let v(f) = -7*p(f) - 5*t(f). What is the derivative of v(g) wrt g?\nAnswer: 3083","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0827 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2528656 and 416.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 360007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l + 1998. Let n be z(-10). What is the greatest common factor of 344 and n?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2657961821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 4*y**2 - 5*y - 7. Let s be u(-5). Let d(q) = q**2 - q - 4. List the prime factors of d(s).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + n, -6*n = -5*h - 5*n - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -13. Let t = -7 + g. Which is the closest to -1\/2? (a) -2\/3 (b) t (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 3*t - t + 12, 2*t - 12 = -5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 155, 154, 153?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 9 = 8*n - 3*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 574 and 25991.\nAnswer: 2131262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.61822839 + 0.636228. Let r = -0.018 + h. Round r to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-one halves of a century?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 - 579 - (-1 - -17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(2\/((12\/4)\/(-6)))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(70)*-1 + sqrt(70))\/(-2*sqrt(490)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 820?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y**4 - 4*y**3 - 13*y**2 + 28*y + 60 = 0. What is y?\nAnswer: -2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 11:49 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 12:02 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**5 + 15*c**4 + 67*c**3 + 126*c**2 + 81*c + 29. Let z(a) = a**5 + 7*a**4 + 33*a**3 + 64*a**2 + 40*a + 15. Let t(p) = 3*k(p) - 5*z(p). Factor t(n).\nAnswer: (n + 1)**3*(n + 3)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szzozzzrrzsz. Give prob of sequence rsos.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 2. Let b be h(-4). Let a be 1 - (-2 - (-99)\/b). Let o = 7\/10 + a. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 1284, 2 in decreasing order.\nAnswer: 1284, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138066627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.377 - -1.0014. Let v = -0.6 + a. What is v rounded to three dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -47*b**2\/4 + 717*b\/4 - 45 = 0.\nAnswer: 12\/47, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96815259?\nAnswer: 3, 53, 202967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, g: 1, q: 1, b: 1}. Give prob of sequence nqnb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*g**3 - 37*g**3 - 2*g**3)*((2*g + 1 - 1)*(1 - 1 + g) + 6*g**2 - 6*g**2 + 7*g**2 + 2*g - 2*g - 3*g**2).\nAnswer: -780*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 186 and 269142.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 66*o**2 + 64*o + 70. Let g be s(65). Solve -5*w + 4*y + 23 = 0, w - 53*y + g = -57*y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + s + 1. Suppose 3*u - 16 = -7. Let r(a) = 2*a**2 + 3*a + 3. Let c(i) = u*y(i) - r(i). Factor c(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 1400797669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + 4 - 26*n - 4 to the form l + a*n and give a.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -374466, -749082, -1123694, -1498302, -1872906, -2247506, -2622102?\n\"Answer: 2*f**2 - 374622*f + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 0*k + 1\/120*k**6 - 2\/3*k**3 - 1\/6*k**4 - 2*k**2 + 1\/60*k**5 + 23. Factor q(z).\nAnswer: (z - 2)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + h + 432 = 0, 4*r - 5*r = -2*h - 144. Suppose 0 = 3*o - o - 8, r = 5*z - 4*o. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168 divided by -168\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40245 is divided by 694.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**5 - 56*x**4 - 84*x**3 + 944*x**2 + 1936*x + 960 = 0.\nAnswer: -10, -6, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4846779703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4, -3*n + 6*n = -q. Let o be -1 - ((-36)\/(-65))\/q. Let d = 8\/13 + o. Which is bigger: 0.1 or d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.82 - -9.92. Which is the second biggest value? (a) 14\/11 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2837093 is divided by 387?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(((c**(-1\/3)*c*c*c)\/c)\/c)\/c*c*((c\/((c*c**(-3))\/c)*c)\/c)\/c*(c\/(c\/c**(2\/7)))**(-2))**18 assuming c is positive.\nAnswer: c**(642\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10763 + -3006?\nAnswer: -13770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.761 and 0.3.\nAnswer: -0.5283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**6\/225 + v**5\/150 - v**4\/30 - v**3\/9 - 2*v**2\/15 + 5*v. Suppose h(d) = 0. What is d?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/7 + -3 + (-243)\/(-84).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34127 by 2.\nAnswer: 34127\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 + 4 + 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 + 1.03. Suppose -4*m = -12, -n - 77*m - 14 = -79*m. What is the fourth biggest value in z, n, 0.4, -1\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85702 is divided by 206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 858*l**2 + 2554*l + 717155. Calculate j(-860).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/3*12780\/(-50) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 504?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 736440 and 4845.\nAnswer: 736440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1324 - 1137. Calculate the remainder when j is divided by 30.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4013*l - 20. Let v(z) = 2005*z - 11. Determine 6*n(y) - 11*v(y).\nAnswer: 2023*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20599, -41271, -61911, -82525, -103119?\nAnswer: -123699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 459 + -260. Suppose o = 2*k - k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 - 19*z - 2 - 20*z + 65*z - 30*z - z**3 + 4*z**4 as f*z**2 + h*z**4 + n*z + w + u*z**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.013 times -1\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**5\/2 - 1699*s**4\/2 + 773763*s**3\/2 - 43491361*s**2\/2 + 21359648*s = 0.\nAnswer: 0, 1, 64, 817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1936893*q**2 + 55*q - 2217 wrt q.\nAnswer: 3873786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -100120101202020?\nAnswer: 100120101202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 5. Let r be 285\/m*(-8)\/(-10). Let k = r - -4. Does 21 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -22, -5, -2, -43 in ascending order.\nAnswer: -43, -22, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*v = 2377248317 - 6344848317. What is v rounded to the nearest 1000000?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 224596\/5 + -44926. Find the common denominator of g and ((-2)\/(-5))\/((-39)\/102).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -6, 0, 3, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78.14951 * 1.\nAnswer: 78.14951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -75265 + -78.31?\nAnswer: -75343.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 351.79753 rounded to 1 dp?\nAnswer: 351.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 100*m**5 - 115*m**4 - 195*m**3 + 40*m**2 + 20*m = 0. Calculate m.\nAnswer: -1, -1\/4, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*o - 4. Let q(j) = -5*j**2 + 41*j - 3. Let l be q(8). Solve 3*z - 13 = -o*g, -4 = 4*g + l*z - 23 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119790779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -44*f**2 + 9*f + 5. Let t be w(-2). Let d = t + 729. Suppose c - 195 = 3*k, 5*c - d - 375 = 3*k. What is the highest common divisor of 72 and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/4 - -6)*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2998433 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -609134245 divided by -121826849.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -9*v + 3. Let g be s(-3). Let w = 79 - g. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (138\/(-207))\/((-15)\/50).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 2. Let q(j) = 2*j - 2. What is -5*a(s) + 6*q(s)?\nAnswer: 7*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/((-2)\/(-588)). Let d = v + -2501\/17. Let t be (-1)\/2*28\/(-98). Sort d, -2, t.\nAnswer: -2, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 + 58. Suppose 16*a - h*a - 32 = 0. Solve 3*k = -2*c - 12, k + k + 4*c + a = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*q - 6, 4*x - 4*q + 58 = -3*q. Let w be (x\/(-6) - 2)*(1 - 4). Let m(l) = -23*l**2 + 1. Give m(w).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3685*l**4 + 3 - 6*l**3 + 8*l**3 + 3967*l**4 + 2*l as z*l + h*l**3 + p + s*l**2 + o*l**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 = -13*t + 207. Suppose t*y**2 + 15*y**3 + 50 + 46*y**2 + 0*y**3 + 135*y = 0. What is y?\nAnswer: -5, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -8.31 (c) 0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 918*w**2 - 51*w**2 + 197*w**2 + w**2 + 0*w**2 - 3*w + w + (5*w - w - 2*w)*(2*w - 3*w - w) + 2*w**2 + w - w + 2*w**2 - 3*w**2 + 0*w**2.\nAnswer: 1062*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/1445 (b) 2 (c) 72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4*i = 20, l - 5*i + 23 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uvvvu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002029668831 rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 31 - -4) + -32?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17530771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 16*p**3 - 11*p**2 + 11*p + 11. Let w(i) be the first derivative of -3*i**4\/4 + 2*i**3\/3 - i**2 - 2*i - 2. Calculate -4*r(u) - 22*w(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -97 != -98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1 - 4218\/589 and 29\/5.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 219, 222, 225?\n\"Answer: 3*v + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 - 31*r**2 - 17*r + 12. Let t be v(16). Let h(a) = 2*a**2 - 4*a - 32. What is the remainder when 138 is divided by h(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8*40\/((-12)\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -24*h + 9. Let o be k(-1). What are the prime factors of 8\/6*12\/(-8) + o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1568.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 31 = 11. Suppose 4*l - 21 = -h, -4*l - 3*h + h + 26 = 0. Sort -5, l, m in descending order.\nAnswer: l, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6210 and 55890?\nAnswer: 55890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 826, 7127, 17626, 32329, 51242, 74371, 101722, 133301?\nAnswer: 169114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3426442 is divided by 190335.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**6\/120 + b**5\/20 + b**4\/12 + 24*b**2. Give w(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, v: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 24 = 4*z. Let u = 359 - z. Round u to the nearest ten.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -34, -34, -30, -22, -10, 6?\n\"Answer: 2*t**2 - 6*t - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117 - 99. Calculate the smallest common multiple of 8 and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/3*(-18018)\/(-2730)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 2)*(446325*o**3 + 5*o**2 + 44 - 36 - 445903*o**3) as x*o + t*o**3 + k + r*o**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 218502 divided by -2?\nAnswer: -109251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-11 - -8)) + 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*g + g = -14, 5*g - 50 = -5*l. What is the remainder when ((l - -2)\/(-1))\/(-1) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 291520 + 85450 = 0. What is the thousands digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 11:35 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6) + (32\/(-36) - (-11008)\/(-2304))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -682 + 687 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2555*o = 2643*o - 6021752. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -2. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.216 - 0.315. Let r = 0.001 - k. Let p = -5.2 + 0.2. Which is the closest to r? (a) p (b) -0.3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/10*5*(-8)\/(-230).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -2\/13883, -3 in decreasing order.\nAnswer: 5, 2, -2\/13883, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/336 smaller than 20318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/228 and 53\/6524535.\nAnswer: 495864660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 251*q - 5748. Determine f(-272).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Let n = 3 + -4. Which is the nearest to -1? (a) g (b) 3\/7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/25 (b) -219 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2246?\nAnswer: 2, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 18 (b) -5 (c) 7\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4180, 4311, 4442, 4573, 4704, 4835?\n\"Answer: 131*d + 4049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 3:24 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -171.28 + -0.72. Let d = v + 170.51. Round d to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 26*j + 6. Suppose -5*p + 14 - 6 = b, b - p = 20. Let r be c(b). Let m = -87 + r. Calculate the remainder when m is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4867 + -10?\nAnswer: 4857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8109509581 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-60)\/4)\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 143*a - 1488. Let b be k(21). Which is greater: b or 1514?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*i**5\/5 - 13399278*i**4\/5 + 37219842*i**3\/5 - 10421394*i**2\/5 - 37219896*i\/5 + 23820672\/5 = 0. Calculate i.\nAnswer: -1, 1, 16\/9, 248132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41445977.\nAnswer: 23, 31, 58129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 36 - 20 = 0. Calculate the highest common factor of 42 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u + 4. Suppose 41*q + 41 = 45*q + 5*p, p - 17 = -3*q. Suppose 3*o - o - 20 = 0. Sort o, q, u.\nAnswer: u, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*t - 162*t - 351*t to the form z + j*t and give j.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 less than 2552\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -21*q - 25. Let t be v(-9). Let d = -1150\/7 + t. Let l = -0.07 + -1.93. Which is the nearest to -1? (a) l (b) -1\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2904.08 rounded to the nearest 10?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*a - 48*a - 47*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 46.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, -172, 1.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 h, and 2 b when four letters picked without replacement from bjbrdth?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 2*g**5 + 0*g + (2*g**4 - 3*g**4 - g**4)*(113 - 113 - 10*g).\nAnswer: 22*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.655*-0.07.\nAnswer: 0.04585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -2\/585959 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 5*v - 25, 2*m + 4*v - 166 = -170 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -20. Let q be g\/7 + 1211\/49. Suppose 0 = s - q - 0. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019731684 to 5 dps.\nAnswer: -0.00197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34970 by -5.\nAnswer: 6994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 711\/1512 + (-36)\/96. Factor 0 + 0*m + g*m**3 + 0*m**2.\nAnswer: 2*m**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 108 = 2*w, -8*w = -2*v - 12*w + 48. Calculate the greatest common factor of 133 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -10, 3*f = 5*a - 22 - 163. Let k = 60 - a. What is the highest common factor of k and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -15.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.1103 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -254 divided by 528.\nAnswer: -127\/264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3\/4 + 27049*r**2 - 865511*r\/4 + 189329 = 0. Calculate r.\nAnswer: 1, 7, 108188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 7 - 11 - 4*i + 5*i - 3 + i**2. Determine h(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/504 and -45\/28?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**2 + 35*o - 15. Let s be g(-8). Let c be (-6)\/33 + 62\/(-22). Put s, c, 3, -4 in decreasing order.\nAnswer: s, 3, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 17, v: 2}. What is prob of picking 4 s?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 7)*(5 + v**3 - 5) - 5*v**3 + 0*v**3 - 2*v**3 as o*v + u*v**2 + n + x*v**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f. Let o(m) = 46*m**2 + 3*m - 124. Determine o(a(u)).\nAnswer: 46*u**2 - 3*u - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 1\/360*w**5 + 1\/1260*w**7 + 0 + 1\/360*w**6 + 0*w**3 + 0*w**4 + 0*w + 5*w**2. Factor s(i).\nAnswer: i**2*(i + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -2.0744834.\nAnswer: -3.0744834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h + 1. Let l = -1 + 2. Let m be x(l). Solve 3 = -m*r - 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llulsguql. What is prob of sequence ugu?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -28. What is the highest common factor of 33 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 1)**2*-2 - (-5 + (sqrt(13) - (sqrt(325))**2)).\nAnswer: -5*sqrt(13) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -195 divided by 5\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 206700151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m + 1. Let y be k(2). Suppose 2*p + y = 5*p, 5*p = -l + 29. What is the third derivative of -q**2 + q**3 + q**3 + l*q**2 + 0*q**3 wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8409312610?\nAnswer: 2, 5, 227, 3704543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 3*i + 7, -3*i - 29 + 0 = -5*q. Suppose q*h - 16 = -0*h. Solve -2*x - 2*x + h = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1271424 and 2772.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 1. Let v = z + -3. Let n = 9 - -16. Solve 2*h - d + n = 4*d, -h = 2*d - v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 27\/(-11) + 1 + (-650)\/143.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Suppose 5*j + 7 - 62 = h. Let n = -6 + j. Solve -11 = n*r + 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/((-8)\/1) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 25*p**2 + p. Let r = 113 + -183. Let q(l) = -l - 71. Let u be q(0). Let s = r - u. Determine a(s).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 26 + 34. Let h = 60 - j. Solve -v + 3*t = -3*v - 14, -2*v + 2*t + 6 = h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k. Let a(b) = -469*b - 1. Let n(f) = -a(f) + 3*d(f). List the prime factors of n(1).\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l. Suppose 0 = 3*p + 16 - 49. Let k(w) = -10*w + 27*w + p*w. Give k(m(v)).\nAnswer: -56*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (-13 - ((-2 - -20) + -24))) + -159?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -313745, -627488, -941231?\n\"Answer: -313743*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 135.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 0, 0.2, -1, -0.08, -5, 0.111?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 521333045?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 174703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 1. Let g(f) = 8*f + 5. Let a(p) = -g(p) - 6*j(p). Let y be a(-5). Let i be 6 + (16*y)\/4. Solve -2*d - 22 = 4*k, 2*d + 12 = -0*k - i*k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, j: 3, y: 1}. What is prob of sequence cyc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41.292179 + 146.292415. Let g = -105 + o. What is g rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvxk when four letters picked without replacement from {t: 1, x: 2, k: 6, v: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3 - 503*q - 839*q**2 + 1788*q**2 + 3 + 413*q**2 wrt q.\nAnswer: 2724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7402 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 3*u**2 - 2*u. Let c be p(2). Suppose 9*f - 4*f - 2*w = 389, 4*f - 3*w - 307 = c. What is the remainder when f is divided by -2*(-1 - 7) - 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 4. Let b be r(-3). Let n(o) = -o - 4. Let u(f) = f - 13. Let v be u(6). Let d be n(v). Solve 0 = 4*t + w - 2, -t + b*t - 7 = d*w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360359762 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - -3*(-4*sqrt(190) + sqrt(190)))\/(sqrt(20)\/(3*sqrt(2))).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*g**2*h**2 + g**2*h*j + 1010*g**2*h - 34140098*g*h**2*j + 3*g*h**2 + 3*g*h + 227*h**2 wrt j.\nAnswer: g**2*h - 34140098*g*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63428?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + c = -16524, 3324 = v - 5*c - 0*c. List the prime factors of v.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 129, 1\/9, -0.5, 3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -222*p**3 - 100*p**4 - 2*p**2 + 101*p**4 - 13*p + 223*p**3 - 8 in the form b*p**4 + r*p**3 + k*p**2 + f*p + y and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 11*d**2 - 19*d + 8. Calculate z(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**3\/3 - 3*l - 1. Suppose r - 2*r = -2. Let n(q) = 4*q**2 - 10. What is r*n(f) - 7*g(f)?\nAnswer: f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 454109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/40 + -13\/8. Let g = -0.3 + 0.1. Let h = -0.6725 - -0.1725. Which is the biggest value? (a) j (b) g (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -284089*d**2 - 2132*d - 4 = 0?\nAnswer: -2\/533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412322 is divided by 549?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4\/13)*d\/(d*(d*d\/(d\/(d*d\/d**(-1\/2))))\/d)*(d**(2\/63))**(-1\/5) assuming d is positive.\nAnswer: d**(-23047\/8190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 68538 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -1076156*u + 10761570. Determine w(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-four fifths of a millennium?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/19, 2\/9, 74?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**3 + y + 2. Let f be p(-1). Let m = f - -235. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/212786 greater than 2\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 37*d**2 + 8 - 6 - 39*d**2 - 269*d**3 + 4 to the form q*d**3 + n + k*d**2 + r*d and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (125\/525)\/((-625)\/(-875))*-1*5.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/5)\/(-1 - 8\/(-5)). Sort 2\/5, 1\/5, 1\/6, h in descending order.\nAnswer: h, 2\/5, 1\/5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 - 3*g**2 - 12*g + 13. Calculate the remainder when 177 is divided by o(4).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 10 = -2*x, -f - 3*x + 10 = -x. Let q = 23 + 90. Suppose f = 5*z + 3 - q. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143101040 (base 7) to base 9\nAnswer: 18661255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3153, -3451, -3735, -3999, -4237, -4443?\n\"Answer: t**3 + t**2 - 308*t - 2847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n - 8. Let p(j) = j**3 + 7*j**2 + 3*j - 13. Let k be p(-6). Suppose 0*y + y - k = 0. Solve n*g - 19 = -3*m, -5*g - 15 = -y*m - 0*g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 1:54 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 8*x + 40. What is q(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79404?\nAnswer: 2, 3, 13, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 5:56 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/62 and -83\/248.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -1678*y - 409542. Give r(-244).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 1:39 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*m - 8, 0 = 5*c + 2*m - 33. Suppose 5*v + c*w + 50 = 0, 3*v + 0*w + 29 = -2*w. Let x(p) = -p**2 - 10*p - 2. Is x(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 131 + (-4)\/1. Suppose -x + 2*l - 16 - 10 = 0, -4*x = -3*l + f. Let b = 24 + -57. Is x != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8175, -36982, -84993, -152208?\nAnswer: -238627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 + 10896*k + 10892*k + 10905*k - 32646*k.\nAnswer: k**3 + 47*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5659282 is divided by 41007?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from wowmwmwwzwmomrw.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 1 - 2*p + 7*p)*(4*p**4 - 5*p**4 + 5 - 3).\nAnswer: -2*p**5 - p**4 + 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + b - 2. Let q = 22 - 9. Suppose 0 = -4*x + q - 5. Give g(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = -0*a - 70. List the prime factors of (a*(1 + 8))\/(-2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 828 divide 82313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 9:59 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-12)*0)\/1. Suppose -4*m + 3487 + 205 = a. Suppose 2*h = -5*v + 2483, -h = -3*v + m + 569. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3673 - 57*z**2 + 119*z**2 - 57*z**2 - 3673.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {b: 2, y: 1, c: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)\/sqrt(4)*-5.\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -7*p + 21. Let o(u) = 3*u**3 - 5*u**2 - 6*u + 1. Let d(g) = 7*g**3 - 10*g**2 - 13*g + 1. Let b(a) = 2*d(a) - 5*o(a). Is b(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpgpgggggpggpg. What is prob of picking 3 g?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 63, 70, 81, 96, 115?\n\"Answer: 2*g**2 + g + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10511\/45 + -2403\/10. Find the common denominator of v and -121\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-6)*(60 - 57)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5 = 0, 4*h = 5*h - 3*o + 7. Let y be h\/28 - 443\/7. Let j = y + 99. Calculate the highest common divisor of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -377, -177, 9, 13 in decreasing order.\nAnswer: 13, 9, -177, -377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 13 = -5*p, 2 = p - q + 1. Suppose 636 - 53 = p*k + g, 5*k - 4*g = 1464. List the prime factors of k.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 28*g + 38. What are the prime factors of o(22)?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1438054 divided by -79?\nAnswer: 1438054\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 2*i**2 + 1. Let c(z) = -10*z**3 - 32*z**2 + 2*z + 5. Calculate c(p) - 5*n(p).\nAnswer: -5*p**3 - 22*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aspy when four letters picked without replacement from nzznyzppppysnansnypy?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 + 6908*v**2 + 48299*v - 55208.\nAnswer: (v - 1)*(v + 8)*(v + 6901)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3)*r*r)**16\/(((r\/r**(-6))\/r)\/(((r**(-3\/5)*r*r)\/r)\/r)) assuming r is positive.\nAnswer: r**(461\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -6*f**2 + 0 + 0*f + 7\/24*f**4 - 5\/6*f**3 + 1\/120*f**6 - 1\/10*f**5. What is the remainder when 14 is divided by d(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15*6\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3957*l + 153469 + 854 = 0 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.98 - -0.02. Let p = -8 + m. Let f = 7 + -6.7. Which is the second biggest value? (a) -0.2 (b) f (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cycwwwyzywwcwwwwwwy. Give prob of picking 2 w.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.082 + 66.918. Let r = -113 + 50. Let h = r + i. What is the second smallest value in 0.3, h, -8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20530227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**2 + t. Let k be 12\/(-10) - (-5)\/25. Let s be b(k). Let d be (4\/s)\/((-4)\/30). Solve 2*i - d*i + 12 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*m**3*p**2 - m**3*u + 68*m*p**2 - 2*m*p*u - m*u - p**2 wrt m?\nAnswer: 78*m*p**2 - 6*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1122 - 784. Let m = 454\/19 + -3769\/114. Calculate the common denominator of 2\/7 - i\/56 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 5. Determine x(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 10. Let i = w + -3.99. Let q = 1.99 + i. What is the third smallest value in 4\/5, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -187 + 182. List the prime factors of 2*(2\/f - (-32)\/5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7704 + 7709. Which is the biggest value? (a) -1105 (b) -0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 1350.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -d - m + 585, -2337 = -4*d + 5*m. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = 6*n + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s + 10. Let x be w(2). Let y(j) = -2*j + 80. What is the tens digit of y(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56212?\nAnswer: 2, 13, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) - (sqrt(176) + sqrt(176) + -1 + 5)) + -2 + (sqrt(176)*-2 + 0)*-3)*-2*6)**2.\nAnswer: -34560*sqrt(11) + 638784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 25\/(-10))*1\/(-2). Which is the smallest value? (a) o (b) -29 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1106 - -1575. Let v(i) = -85*i**3 - 4*i**2 - 2*i. Let z be v(-2). Let h = z - c. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -45 and 125300 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-12)*34\/85*-12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**3\/3 - 2*m. Let g(l) be the second derivative of 0 + 4*l**2 + 0*l**3 + 1\/6*l**4 - 160*l. What is p(g(b))?\nAnswer: -4*b**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9801, -9803, -9805, -9807?\nAnswer: -9809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -1\/4, -4762542\/5, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 - 54. Suppose y = -2*y + 3*p + 12000009, d*y = 2*p + 20000006. Round y to the nearest one hundred thousand.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l + 19. Is a(-6) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18704.29981 + -18705. Let g = -0.7 - f. Let z = g - 0. What is z rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 5:34 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3480*c + 377. Is t(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52136142.\nAnswer: 2, 3, 29, 97, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124 (base 8) to base 9.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/2 - (-11 - -13). Which is the closest to 1? (a) 0 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 1:34 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.19.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 7 + 21)*(-l**3 + 3*l**3 - 4*l**3) + (5*l - 5*l - 2*l**2)*(2 - l - 2) + 5*l**3 - l**3 - 2*l**3.\nAnswer: -44*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 5*h + 6. Let j be u(-5). Let g = -2 + j. What is the lowest common multiple of g and (220\/(-25))\/((-12)\/30)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + 7 - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-14)*1)\/(21\/(-18))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v + 711 = -49*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -480463*j - 1441393. What is h(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 16) to base 15.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/44891487 and -13\/49879430?\nAnswer: 448914870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -9 - 5*w + 4*w + 3*w. Let a be f(6). Let p(i) = 5*i**2 + 2*i**2 - i**2 - a*i**2. Let v(d) = -2*d**2. What is v(p(t))?\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 23, -14 in descending order.\nAnswer: 23, -14, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(7) + (sqrt(112) + 1)**2 + sqrt(847) + 0).\nAnswer: 120*sqrt(7) + 678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 15792 = 31*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -1.52.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k - 3. Let r(v) = v**3 - 4*v**2 - 5*v + 3. Let z be r(5). Suppose m + 2*f = 13, -4*m + z*f = -1 + 4. Determine x(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 9726?\nAnswer: 9726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15391013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 41. What are the prime factors of w\/((-4)\/32) + 4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/28? (a) -3\/44 (b) 581 (c) 1\/30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1\/4 (b) -1\/4 (c) 73 (d) 25\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 962476*o - 962467*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.135208 rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 40 - 47)*((-39 + 39 + 3*p)*(p - p - p) + 2 - 2 + p**2 - 3*p + p**2 + 3*p + (2 - 3 + 0)*(-1 - 2*p**2 + 1) - 3 + 2*p**2 + 3 - 2*p**2 + p**2 + 3*p**2).\nAnswer: -415*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3 - 8616*y**2 + 77301*y = 0. What is y?\nAnswer: 0, 9, 2863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/246, -5, -1\/7, -62\/11, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -13*l - 432. Let s(x) = -15*x - 435. What is 11*p(q) - 10*s(q)?\nAnswer: 7*q - 402","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49118652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - b - 330. Let u(s) = 15805*s. Calculate u(d(k)).\nAnswer: 15805*k**2 - 15805*k - 5215650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/15*2)\/(42\/105)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*g - 15. Let r be 8\/70*(-5)\/(-2). Put r, -2\/15, g in ascending order.\nAnswer: g, -2\/15, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 7. Let d be s(-13). Suppose -4*v + d*v = 2. What is the hundreds digit of (-1)\/((311\/104 - 3)*v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/3*9\/(-6). Let z(s) = -5*s + a*s + 2*s**2 - 8*s**2. Suppose 23*l - 26*l + 3 = 0. Calculate z(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1611.823219 rounded to one dp?\nAnswer: -1611.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(8\/9))\/n**14*(n*n**(-2\/5))**(-1\/62) assuming n is positive.\nAnswer: n**(-33817\/2790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -19*l**3\/6 - 45*l**2\/2 + 14*l. Find the first derivative of h(i) wrt i.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 190\/104)*(-153)\/((-22950)\/1200).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/72)\/((-551)\/(-232)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -24*m + 1. Calculate the smallest common multiple of (-317)\/(-9) + (-6)\/(-1)*196\/(-5292) and y(-1).\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4237319348+-107\nAnswer: -4237319455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 7*w + 6. Let f be a(3). Let b be 30\/(-12) + 0 + f. Suppose 1\/2 + 0*h - b*h**2 = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49 * 4.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**4 + w**4 - 4*w**4 + (8 - 8 + 8*w**3)*(0*w - 3*w + 4*w).\nAnswer: 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 - 69. Solve -y + 4 = m, 19 = -4*d + m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2180660 take away 31.22673?\nAnswer: -2180691.22673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -80*o + 85*o, -4*o + 595 = 5*s. What is the highest common divisor of 272 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -8. Let b = r + -4.1. Let g = 1.95 - -0.05. What is the nearest to b in g, 1\/8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14196964 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -3*s**6\/4 - s**5\/60 + s**4\/3 - 302*s**2. Find the third derivative of c(j) wrt j.\nAnswer: -540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + -1*(((sqrt(300)*2)**2*-6 - sqrt(300)) + 2).\nAnswer: 10*sqrt(3) + 7205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10254260 to the nearest 10000.\nAnswer: 10250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + -41. Suppose 0 = i*j + j - 24. Let t = 41 - 9. Calculate the highest common factor of j and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -0.3, 0.5, 72, -0.2?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92987301 is divided by 2708?\nAnswer: 2705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 12*c**2 - 11*c. Let u be b(11). Suppose -q = -5*a - 215, u*a - 129 = 3*a - q. Let n = a - -60. What is the remainder when 49 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 16*t**2 - 15*t - 22. Calculate x(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -29.89. What is the nearest to -2\/3 in 2, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2217.794 kilograms to milligrams.\nAnswer: 2217794000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 + 21*j**2 - 6*j + 69. Let n be h(-11). Let g be 2\/3 - 4\/(-3). Put n, g, 3 in descending order.\nAnswer: n, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 4*j**2 + 2*j - 1. Let z be s(-3). Factor 2*v + 2*v + 28*v**z + 4 - 64*v**4 + 32*v**3 - 4.\nAnswer: -4*v*(v - 1)*(4*v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -54c - -3b6?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -2. Let t be (2 + 3)*(-2)\/5. Suppose -3 = -3*n + 3. Sort t, n, d.\nAnswer: t, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.02 + -0.02. Sort -1\/4, -1, v in ascending order.\nAnswer: -1, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13583 and 1639955340?\nAnswer: 1639941757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -39. Let o be 30\/20 - k\/4. Let h be 1 + -5*o\/15. Solve 2*w - 5*a - 12 = -w, 3*w + 9 = -h*a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 10 (c) -0.2 (d) -0.1 (e) -1\/4 (f) -3\/55\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*u - 64 = 0, 2*u + 49 = 3*n - 0*u. Suppose 0 = -3*k + k + 3*m - n, -5*m = -15. Which is greater: k or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0019 + 6.0119. Let a = 6.01543 - o. Round a to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - c**2. Let s be f(0). Suppose s = 5*j - 1 + 6. Let w be 6\/4*(j + 3). Solve -w = -4*r - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 + 44. Suppose -2*b - 2 = -3*i + 2*i, -i + 5*b = -11. Let x be (-6 + 2)*2\/i. Sort -5, x, c in decreasing order.\nAnswer: c, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12021 and -13842.\nAnswer: -166394682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -16009?\nAnswer: 16008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302002 (base 10) to base 9.\nAnswer: 510237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -599700.8205 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/(-33))\/((-127)\/4191).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g - 8 = 0. Let w = g + 7. Calculate the remainder when 15 is divided by ((-8)\/w)\/((-6)\/30).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = -45*r + 443. Solve -5*i = r, -5*h - 3*i - 1 = -6*i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 3. Let i be l(-1). Suppose -5*h + 2*q + 33 = 3*q, 0 = -2*h + 5*q - 3. Suppose 3*j + 13 - 12 = 2*m, -2*m - j + 5 = 0. Solve i + h = m*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85 - 96 - (0 + -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/19 (b) -35 (c) -10 (d) 1 (e) 0.3 (f) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 56592 = 5*t, 4*p - 15*t - 75439 = -16*t. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -73*p**4\/3 - 670*p**3 + 50*p**2 + 5. Differentiate y(i) with respect to i.\nAnswer: -584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 10 = 0, 248*c - 1 = -5*p + 121*c + 124*c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -7133.\nAnswer: -7133.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/48)\/((-2)\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*10\/(-12)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-630))\/(7\/12). Let r = -7513\/1470 + y. Calculate the common denominator of r and 47\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14290+-10620.583\nAnswer: -24910.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 6 - 3 - -9) + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 95361.364 to the nearest one thousand.\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 291 and 95739.\nAnswer: 95739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -1 + (12 - 2 - 6) + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 9*j**2 + 76*j - 384. Determine l(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 869, 3, -3, 5, -5 in decreasing order.\nAnswer: 869, 5, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)*2*2)\/(sqrt(9) + -2*sqrt(81)))\/(((sqrt(20) - sqrt(1620) - sqrt(20))*-6)\/sqrt(4)*-6).\nAnswer: sqrt(3)\/405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + a + 8. Let k be r(0). Let s = 15 + k. List the prime factors of (-1)\/(-4) - s\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.05, -64.8708, -3\/8?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21722 at least 21468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/5, -60, 3\/10, 1?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*d**3\/2 + 2211*d**2\/2 - 75882*d - 76944 = 0 for d.\nAnswer: -56, -1, 916\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 2:09 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*g = -2*o + 6, 0 = -3*g. Solve -i = -o*u + 7 - 1, -10 = -u - 3*i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000125125653 to seven dps.\nAnswer: -0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*b = 187 + 387, 2*l + b + 286 = 0. Find the common denominator of (l\/10)\/((-1764)\/(-60)) and -50\/77.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 25*h**2\/2 - 2*h - 129. Let y(c) = 2*c**2. Give n(y(j)).\nAnswer: 50*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11*q - 74. Let w be r(6). Suppose 0*d = -d + 3*u - 5, -2*d = -3*u + 7. Is (-1)\/(18\/w - d) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1072 + 671. Let p = l + 756. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6919 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**3 + 24389 - 8*f - 24389.\nAnswer: 4*f**3 - 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5606? (a) 1\/4 (b) 2\/11 (c) -89\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2, 1\/3, 0 in increasing order.\nAnswer: -2, 0, 0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a**2 + a**2 + 10*a + 55*a**2 - 52*a**2 - 16. What is q(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 6706337.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1271851814 to the nearest integer?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80055969.\nAnswer: 3, 7, 3812189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 37486 = t, 4*w + t - 5*t = 37492. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -509420000 to the nearest 1000000.\nAnswer: -509000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 5*o**2 + 8*o - 6. Let b be x(4). Let s = b - 54. Does 8 divide (s + 0 + -4)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8, -24, -44, -68?\n\"Answer: -2*k**2 - 10*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/572526 and 47\/11132450.\nAnswer: 100192050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(25\/(-2)))\/(3\/(-5))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*q**3*x**3 + 89676*q**3*x**2 - 2*q**3 - 4785*q + 54 wrt x?\nAnswer: -6*q**3*x**2 + 179352*q**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 280 and 206360.\nAnswer: 206360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + a + (2 + 1 - 2)*(2 + a - 2) - 45233 + 45233 - 84*a + (a - 2*a + 2*a)*(4 - 1 - 2) + 3 - 3 + 2*a as o*a + x and give o.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -112?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2056129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/40*3\/9?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 5*a + 3. Let j be p(5). Let h = 0 + j. Suppose 4*v - 11 = 9. Solve v*m = r + h*r + 15, 4*r = 3*m - 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**4\/6 + 10*j**3\/9 - 8*j**2\/3 + 8*j\/3 + 10. Factor i(s).\nAnswer: -2*(s - 2)**2*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 626473*l**2 + 507323*l**2 + 966286*l**2.\nAnswer: 2100082*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4312671 and 396?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, a: 4, n: 7}. What is prob of sequence najn?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -35 - (-37 + 19 + -10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, l: 2, b: 2, i: 3, j: 1, w: 1}. Give prob of sequence xl.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2212934 to the nearest integer?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 19, 50, 93, 148, 215?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 73, 132, 217, 340, 513, 748?\n\"Answer: 2*c**3 + c**2 + 42*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i - 11. What is s(-6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 10 + 2. Suppose m*u + 3 = 4*u. Suppose 15 = 4*v + 4*q + u, 5*v = 2*q - 6. Solve 5*f - 11 - 24 = -5*i, 5*i - 4*f + 1 = v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n - 7. Let l be a(-5). Suppose c - 8 = 2*c + l*v, -v = c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p. Let w(o) be the third derivative of 5*o**4\/24 + 11*o**2. Calculate w(z(q)).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/20 - (-2)\/5. Which is the smallest value? (a) -0.5 (b) f (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133301 by 7.\nAnswer: 19043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11098424\/168181 - 6\/(-663).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19326263657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 134 in -9, -11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7185 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: Find j such that 2*j**4\/7 + 110*j**3\/7 + 316*j**2\/7 + 208*j\/7 = 0.\nAnswer: -52, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 29*s**2 + 37*s - 773. Calculate u(-31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 113293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 + 2 = 0. Suppose -2*o + 3*a - 4 = 19, o + 3*a + 7 = 0. Does 12 divide 30*(16\/o)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in -441, -2\/203, -0.02?\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lccddcdd. Give prob of sequence cdd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001749 to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d - 23136 = 23*d. Is 25 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -8*s + 4. Determine i(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14286, -28597, -42946, -57345, -71806, -86341?\n\"Answer: -2*x**3 - 7*x**2 - 14276*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299*q - 72 = -317*q. Let d(l) be the second derivative of 5\/6*l**3 + 3*l + 1\/20*l**5 - 1\/3*l**q + 0 - l**2. What is u in d(u) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 240 - -1?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from {c: 10, r: 4, s: 6}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**9\/252 - i**8\/24 - 17*i**5\/20 - 53*i**2. Find the third derivative of r(x) wrt x.\nAnswer: -240*x**3 - 840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + 6 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258 divided by -5.\nAnswer: 258\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 4*h + x, 19 = 3*h - 4*x - 21. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216049221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 435690*n**3 - 349565*n**2 wrt n.\nAnswer: 2614140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -2*p - 140. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Suppose -7 = -3*q - j + 9, q - j = y. What is the highest common divisor of q and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f**2 - 35*f + 47. Let k(d) = 2*d**2 + 18*d - 23. Let x(v) = -7*k(v) - 3*u(v). Let s be x(20). Solve -o + 3*j - 7*j + 18 = s, -4 = -j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 5, 1, -1 in decreasing order.\nAnswer: 5, 3, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven fifths of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2143.85407 rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20406562369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.1009 in 2\/7, 63, 0.5, -0.2, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, j: 8}. What is prob of sequence fjjj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 74481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmvmmvvmmmmmvmmmmvm. Give prob of picking 2 m and 1 v.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j. Let f(v) = 2*v. Let q(x) = 10*x. Let p(n) = 2*f(n) - q(n). What is b(p(s))?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggbvazh. What is prob of sequence zag?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -87*x**7\/2 + 728*x**3\/3 + 278*x - 2. Find the second derivative of d(o) wrt o.\nAnswer: -36540*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0676 and 8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 22*k = -540. Let i be (7 - 9)\/(33\/k - -1). Solve w - i = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3. Let s(z) = -z**3 + 10*z**2 - 24*z - 3. Let m be s(5). Let q(d) = -d - 6. Determine m*q(h) - 5*b(h).\nAnswer: -2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 60 + 72 = 0. What is the second smallest value in 0.8, 2, b, 0?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 48.08. Which is greater: -25 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.033 or 0.05?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1593*z - 18. Let a(v) = 794*v + 8. What is -7*a(u) - 3*t(u)?\nAnswer: -779*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 2\/13, 27, 9\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b + 9. Determine c(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1239*n + 913*n = -241024 for n.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7039688\/9 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**5\/7 + 12*g**4\/7 - 80*g**3\/7 - 48*g**2 - 320*g\/7 = 0.\nAnswer: -4, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1636049\/30 - 54541. Find the common denominator of 62\/25 and f.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i**2 + 5*i + 9. Let y(p) = -3*p**2 - 2*p - 4. Let a(r) = 2*m(r) + 5*y(r). Let k(t) = t**2 - 2. Determine 5*a(q) - 4*k(q).\nAnswer: q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 10*s**2 + 2*s. Let o(a) = 20*a**2 - a. Let h(r) = 20*r**2. Let f(w) = 6*h(w) - 5*o(w). Let k(z) = 2*f(z) - 5*g(z). Let c(v) = -2*v. Give k(c(d)).\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1194087 = 1673*c + 1317889 for c.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1678 * -1.11.\nAnswer: -1862.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 11. What is the third derivative of -13*l**2 + 0*l**5 + 4*l**f + 11*l**2 wrt l?\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**3 - 17*w**2 + 11*w - 36. Let m be l(7). What is the greatest common divisor of m and 316?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -547957 and -547957 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 55?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6406825.455 from -0.147.\nAnswer: 6406825.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 5*c + 6. Let k be p(-4). Suppose -3*o + 65 = 2*m, -2*m + k*o + 28 = -12. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -24, -34, -48, -66, -88?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*y + y - y + (1 + 5 - 5)*(0*y - 2*y + y).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 907327 - 3.\nAnswer: 907324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -341 divided by 5?\nAnswer: -341\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*u - 8 = -0*a, 4*a + 3*u - 32 = 0. Let b(s) = s**3 - 7*s**2 - 9*s + 10. Let j be b(a). Solve 1 = -3*n + j*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/(-6))\/((-24)\/(-80)). Is f > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-6*(-4)\/36.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.33 - -15. Let i = -0.03 - a. Is i less than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14997974 and 5?\nAnswer: 74989870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16 - -0.16072. Round l to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -412 + 420. Let 4*m**2 + 3*m**2 + p*m**2 + 6*m**3 - 18*m**2 - 3*m**4 = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - -54. Suppose n + 1 = t. Let i(l) = -l + 5*l**t - 7*l**2 + l. Let j(y) = -2*y**2 - 3. Give i(j(a)).\nAnswer: -8*a**4 - 24*a**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k**2 - 4 + 4)*(0*k**2 + 3*k**2 + 6*k**2) - 3*k**4 - k**4 + 2*k**4 + 2*k**4 + 2*k**4 - 2*k**4 to i*k**4 + o + c*k + j*k**3 + z*k**2 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -223 or -222?\nAnswer: -222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3324 divided by 12074\nAnswer: 1662\/6037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -161 + 321. Let i be 3\/2*v\/6. Suppose 0 = 4*s - 3*s - 8. Calculate the greatest common factor of i and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*o + 6, -5*o = -5*g + 20 + 15. Which is the second smallest value? (a) -3 (b) -7 (c) 5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1059 - -1000. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8764 + 55?\nAnswer: 8809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 249, 386, 525, 666, 809, 954?\nAnswer: 1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-360 + 75 - 247)*(-2*x - 2*x + 2*x)*(-1 + 7 - 1 + 3).\nAnswer: 8512*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5814*i + 182 = -5828*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y*y*y**(-33)\/y*y*y))\/(y\/y**(-33))*(y**(3\/16))**38 assuming y is positive.\nAnswer: y**(17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1901 - 1899. Let f(m) = -m - 3. Let k be f(-4). Let u(i) = -2*i - 2. Let q(h) = -h**2. Determine a*q(g) + k*u(g).\nAnswer: -2*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 15. Let v be d(-12). What is the first derivative of -v*f**4 - 12 + 0*f**4 + 4*f**4 - 2*f**4 wrt f?\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5, -7*m - 13 = -2*m + 3*n. What is the common denominator of -37*m\/36 - -1 and -85\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 5. Let z be q(0). Let x = 73 + -70. Suppose -j = -2*j - x*m + 298, 890 = 3*j + z*m. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3219 + 1321 = 9*p - 3326. What is the remainder when p is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*r - 109 - 47, 0 = 5*r - 3*y - 284. Suppose r = -5*p + 185. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 294\/4 - (-26631)\/5918?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 171 - 91. Let a = -80.00000037 + d. Round a to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6)*(6 - (-54)\/(-9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 327207.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1189194194.\nAnswer: 2, 71, 8374607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383898, -383770, -383548, -383226, -382798, -382258, -381600?\nAnswer: -380818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 8800 = 2*b, 43*w - 4*b - 1760 = 42*w. Is 55 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**3 - 4569774*a - 2180946 wrt a?\nAnswer: -3*a**2 - 4569774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/11 + (4 - 9\/11). Suppose v + o = 0, -x + 4*x - 4*v = 21. Suppose -246 + 36 = -x*w. What is w rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(612))**2 + sqrt(612) + -3 - (sqrt(612) + 1 + 4) - (sqrt(612)*1 + 5 - (((-3*sqrt(612))**2 - sqrt(612)) + 0)).\nAnswer: -12*sqrt(17) + 6107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -8. Suppose -2*n - 2*f = -7*n + 24, 3*f + 6 = 0. Sort n, v, 0 in decreasing order.\nAnswer: n, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + 0. Let u = 1.5 - -1.5. What is the second smallest value in 1, u, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1592856514.\nAnswer: 2, 17, 46848721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3566, -7341, -11116, -14891, -18666, -22441?\n\"Answer: -3775*q + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*x**2)*((4 - 2 + 0)*(3 - 1 + 0) + 0 + 1 + 0 - 3 - 1 + 3 + 37 + 30 + 7) + (7*x - 6*x + 10*x)*(4*x - 3*x - 3*x).\nAnswer: -178*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -8225100 to the nearest 10000.\nAnswer: -8230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.9, 0, 1\/4, -0.003, -2\/17?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7978900 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217292236 is divided by 57?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31513 + 31515. Let o = 0.28 + -0.85. Which is smaller: o or i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58 or -227\/4?\nAnswer: -227\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -2)\/((-26)\/(-195)*5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201277 equal to 201277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -24945.\nAnswer: 1\/4989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5 + 18370\/(-550)*1.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**14\/(c\/c**23)*(c*c**(-8))\/c**(-2\/9) assuming c is positive.\nAnswer: c**(263\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, s: 4, t: 8, a: 2}. What is prob of sequence astt?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1566 + 2187. What is the greatest common divisor of 36 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 128*v - 2267. Calculate the remainder when 179 is divided by o(23).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/549 and -5\/407148.\nAnswer: 74508084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 18 + 2 = d, f - 5*d - 24 = 0. Differentiate f*v**3 - 2*v**3 - 6 + 5 wrt v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77396264 take away -4?\nAnswer: -77396260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573203570 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-2) - 38\/(-2). Calculate the remainder when (-1013 - -424)*(-1)\/19 is divided by 748\/36 + 4\/g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 13. Suppose -t - 3*n - 3 = 0, 4*t - n = -4*n - 3. Suppose 3*f - 13 - 5 = t. Is h < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 981517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38090*h - 76174*h + 38086*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)\/(b*b**(-2\/13)*b))**9 assuming b is positive.\nAnswer: b**(-801\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 88529, 177066, 265603, 354140?\n\"Answer: 88537*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 + -13?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 24*f - 193. What is h(10)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 5:25 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.5 + 3.6. Let u = 0.023 - -14.477. Let m = -71.5 - u. Is m equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 3337?\nAnswer: 43381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2009*b**2 - 31*b**3 + 96*b**3 - 2010*b**2.\nAnswer: 65*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9659.\nAnswer: 13, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 236*w**2 + 13135*w + 110. Determine o(90).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -k + 5*j + 1, k + 24 = -5*j. Suppose -5*x - 32 - 45 = 2*l, 0 = 5*l + 3*x + 164. Let s = k - l. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46684*z - 46686*z - 44 = 0 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 20856.17 to the nearest 100.\nAnswer: 20900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-5))\/((-4)\/70). Let t = 29 - f. Suppose -36 = -4*m + 5*p + t, -13 = -m + 2*p. Solve -4 = -m*k + 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*p - 19. Calculate the lowest common multiple of ((-8)\/(-12) + -1)\/((-1)\/12) and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 14*l + 27200 = 0. What is l rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 44 = 4*n. Suppose 5*p + k - 22 = 0, 2*p + 2*k + n = 3*p. Suppose 6*c + 87 = 375. Sort -5, c, p in increasing order.\nAnswer: -5, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 12. Suppose m + 34 = 6*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 247 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1249615322 - -0.5.\nAnswer: -1249615321.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -678, -1375, -2234, -3255, -4438, -5783?\nAnswer: -7290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-12) - 2\/(-40). Let h = 1543 + -1542. Put p, 2\/9, h in descending order.\nAnswer: h, 2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*b - 0*b. Suppose 0*n - 18 = -3*n. What is the third derivative of n*o**6 - 2*o**6 - 15*o**3 + b*o**2 + 15*o**3 wrt o?\nAnswer: 480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -120847, -117664, -114481, -111298, -108115?\n\"Answer: 3183*o - 124030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evdvndrvvrvzrrv. Give prob of sequence rzd.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5.428802 tonnes?\nAnswer: 5428802000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 + 28*l**2 - 632*l + 6230. What is t(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106*d**3 - 135*d wrt d?\nAnswer: 636*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 7:30 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (67\/64)\/((-13)\/(-26)) and -47\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2 - 41*u + 12*u + 6*u + 15*u. Give r(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 1395?\nAnswer: -1398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3930 + 3939. Solve 9*c - a - 9 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - 3*m + m**4)*(2 - 4 + 0) - 62*m**4 - 108*m**4 - 114*m**4 + 2*m**4 to g*m + s*m**3 + b + c*m**4 + d*m**2 and give c.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 10, 0.013396 in descending order.\nAnswer: 10, 0.013396, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -b + 59, -292 = 5*r - 8*b + 6*b. Let y = 194 - 286. Let j = r - y. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)*1)\/((sqrt(3) - (sqrt(3) - sqrt(96)\/sqrt(8))) + sqrt(3)) + (sqrt(112) + (sqrt(112) - (sqrt(112)*1 + sqrt(112))) - (sqrt(252) + -2))**2.\nAnswer: -23*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -23*x + 7. Let o(j) = -13*j + 4. Let d(b) = -4*n(b) + 7*o(b). Let s(v) = 2*v - 240. Give s(d(g)).\nAnswer: 2*g - 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)\/(a*a*a**(2\/7)*a*a)*a**(6\/17)*a\/(a**(2\/11)*a))**(-19) assuming a is positive.\nAnswer: a**(152076\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -47\/22 (b) -7\/5 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 8:17 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 1.1.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8240343922?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q = -40*q - 283 - 159 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/3, -4, -1275, 34159.\nAnswer: -1275, -4, -2\/3, 4, 34159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-5 + 1 - 1 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 3*z + 3*z)*(-3 - 1 + 6)*(-5*z + 15 - 15).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 12*l**2 + 13*l + 1. Let w be s(-13). Sort -3, w, -13, -1 in decreasing order.\nAnswer: w, -1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by 16419.\nAnswer: 79\/16419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -268 + 2145\/8. Let l = 11 - -1. Let b be ((-6)\/12)\/(2\/l). Which is greater: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -10*b - 9. Let r(s) = -27*s - 25. Let o(h) = -11*n(h) + 4*r(h). Suppose -3*u + 17 = 38. Determine o(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjssjssj. Give prob of sequence jsjs.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 100, 165, -428?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3594733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -24. Let a be (-14)\/b + (-19)\/(-57). What is the units digit of (-154)\/a + 0\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-9)*(q**(1\/14)\/q*q)\/q*q**(-6)\/(q*q*q**(-1)) assuming q is positive.\nAnswer: q**(29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21348 divided by -5337\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) -1\/4 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 - 2 + 4*v**2 + 899*v - 901*v. Let l be q(5). Suppose 0 = 6*w - l*w + 343. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -1435\/4 - -358. Let o be 5\/(-6) + (-6)\/(-4). Which is bigger: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + 430. Let l = v + -1275. Round l to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 273\/105 - (7\/(-5) + 2). Suppose -m*k - x + 229 = -28, 0 = 4*k + 3*x - 519. Calculate the highest common factor of 18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 31*f**2 - 3065*f + 23. Give s(42).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**4 - 1153*t**3 - 317501*t**2 - 631547*t - 315198 = 0. Calculate t.\nAnswer: -702, -449, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3151, -24917, -83939, -198841, -388247?\nAnswer: -670781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -t**6\/120 + 37*t**5\/60 + t**4\/24 - 35*t**3\/6 - 10*t**2 + 94. Determine c(37).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkklkkkkkkkckkk. What is prob of picking 2 k?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3664550 and 87582745?\nAnswer: 875827450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 9*m + 27. Let x(w) = 5*w + 14. Let n(u) = -6*c(u) + 11*x(u). Let p = 161 + -150. Let h be n(p). Solve h*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3136 divide 238978880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36767853 + -33?\nAnswer: 36767820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.33, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16 - -2)\/(16\/24). Calculate the highest common divisor of 18 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 132 (b) -2\/15 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 - 47. Suppose -3*n = -4*i - 19, -16 = 4*n - s*i + 5*i. Which is the second biggest value? (a) n (b) 3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 15*i**3 + 5*i**2 + 5*i. Let k(j) = -15*j**3 - 4*j**2 - 4*j. Suppose -c + 2*b = 3, 29 - 7 = -5*c + 3*b. Give c*k(x) - 4*g(x).\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 0 - 1\/3*d**3 + 3*d**2 + 2*d. Let t(f) = 2*f - 3. Let h be t(4). Give b(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) + (-1*sqrt(36) - sqrt(36)))*2 + sqrt(36))\/(sqrt(22)\/(sqrt(33)\/sqrt(3))).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -6. Let k = 2 + p. Suppose -4*q + 4*l = 2*l, 0 = 5*q - 2*l - 1. Which is the closest to q? (a) -2\/9 (b) -5\/2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g - 48. Let w(t) be the second derivative of -t**5\/20 - 11*t**4\/12 + 11*t**3\/6 - 7*t**2 - 41*t. Give w(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - x**2 + x**3)*(-5*x**2 + 8*x**2 + 5*x**2)*(-1 + 1 + 2).\nAnswer: 16*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1070*f + 1219 - 212 = -1136*f + 2259*f for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128.38 + 3.62. Let t = -135 + g. What is the nearest to 2 in t, -16, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2800 and 18176816?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2663171*v**3 + 7566*v**2 + 102 wrt v.\nAnswer: -15979026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 6637706 in descending order.\nAnswer: 6637706, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z**2 + 7*z - 14. Let u(y) = -y**2 - y - 1. Let g(c) = p(c) + 6*u(c). Is 33 a factor of g(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1 - 4) + (-1 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and -1\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -6024000 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 5*g + 4*q + 2, 4*g - 5*q + 71 = 0. Let s be (g\/(-16))\/(1\/30). What is the greatest common factor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * -0.009.\nAnswer: -0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*v - 24 + 222 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3811, -15917, -36075, -64291, -100571, -144921, -197347?\nAnswer: -257855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, u: 4, o: 3, w: 5}. Give prob of sequence wuo.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 548601723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d + 24 = -29*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74\/7 - -317\/28. Suppose 3*w + 14 = j, -j + 0 = w + 2. Is j bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -192676, -770693, -1734054, -3082759, -4816808?\n\"Answer: -192672*r**2 - r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + i + (3*i - 6*i + i)*(6 + 0 - 4) + i + 3 - 3 + i + 2 - 2 - 4*i - 4 + 4 + 2*i - 2 + 2 + (2*i - i + 0*i)*(2 + 0 - 1).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11198 divided by 1?\nAnswer: -11198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + d - 3*d + (1 - 1 - 1)*(d - 1 + 1) + (6 - 9 - 14)*(2 - 2 - 2*d).\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 751*n - 14643 = 2106*n - 40388 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(3\/2)))\/i**(-3\/2))\/((i\/i**(-2))\/i)**(-10\/13))\/((i**(-3\/2)\/i**7)\/((i\/i**1)\/i)**33) assuming i is positive.\nAnswer: i**(-597\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105477267*i**3*q**3 + 74*i**3*q**2 - 26*i**3 - 10345*i**2*q**2 wrt q.\nAnswer: 632863602*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -228.4987 - -228.6987. Let k = -5\/42 + 107\/105. Let a = k + -33\/20. Put 2\/17, a, y in ascending order.\nAnswer: a, 2\/17, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**3 + 2*q**2 - 4*q + 3. Let a = 16 + -13. Let h be i(a). What is the highest common factor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - 2. Let l(k) = k**2 + 13*k + 16. Let r be l(-12). Suppose -7 = r*p + 13. Which is smaller: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 243.1 - 291. Let i = -47.6 - p. What is the third smallest value in -3, i, -2, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 371161, 742325, 1113489?\n\"Answer: 371164*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/255560210 and 9\/4.\nAnswer: 511120420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -374 - -436. Let v = p + -57. Let y(z) = -3*z - 4. Determine y(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/12056 and 119\/14652?\nAnswer: 4014648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*q**2 + 10*q**2 - 29*q**2 - 133*q**2 to the form x*q**2 + b*q + w and give x.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*u**4 + 29*u**4 - 17*u**4 + (2*u - 4*u + 4*u)*(-1 + 1 + u**3) + 2*u**4 + 3 - 3 in the form i*u + z*u**2 + h*u**3 + c*u**4 + p and give c.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128768278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12416918 by -7.\nAnswer: -12416918\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {x: 5, n: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -12. Let t(b) = 3*b**3 + 56*b**2 - 29*b - 193. Let q be t(-19). Sort q, c, 4.\nAnswer: q, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {f: 2, k: 5, z: 1, t: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 12:34 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + s - 10 = 0, 2*s - 6 = -k - 3*s. Let n(i) = -i**3 - 7*i**2 - 4*i + 7. Let v be n(k). Let j = v - -92. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11\/12, 0, -4, 3, -53?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83457105 to the nearest integer?\nAnswer: 9135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/230 and -49\/460.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**4 - 27988*m**3 - 50*m**2 + 25*m - 3.\nAnswer: 24*m - 167928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, q: 9, d: 4, y: 1, b: 3}. Give prob of sequence ylq.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -281, 1, -141, 0, 2 in decreasing order.\nAnswer: 2, 1, 0, -141, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 7*s - 8. Let k be r(7). Let m be (4\/k)\/(1 - (-2)\/(-4)). Which is bigger: m or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/5 + 6*a**2\/5 + 12*a\/5 - 16\/5.\nAnswer: -2*(a - 4)*(a - 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9550 + 10934. What is the remainder when h is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*r - 17 = -0, 4*r - 20 = 0. Let l = -0.84 + 0.9. Let n = l - -0.24. What is the third biggest value in 3\/4, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*a + 12*a - 20*a - 2)*(-2 + 2*a + 2) - 30*a**2 + 23*a**2 - 36*a**2 as i + n*a**2 + z*a and give n.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 523591 and 1758?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22312 * -2.098.\nAnswer: 46810.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 4209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14131 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -1)\/(17*(-24)\/(-612)). Solve k - 5*b + 7*b + 14 = 0, -r*b - 31 = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.921 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 3*l**2 - l - 4. Let f be r(-3). Let z(a) = -5*a - 1. Let u be z(f). Solve 4*d + 4 = -u*q, 0*q - 13 = 3*d - 2*q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-7)\/x)*x)\/x*x)\/(x\/(x\/(x\/(x\/(x\/(x*x\/(x*x\/(x\/(x**1\/x)))*x))*x*x)))))**(-3\/44) assuming x is positive.\nAnswer: x**(-39\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0982*-0.3.\nAnswer: -0.02946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 517922.1ns to milliseconds.\nAnswer: 0.5179221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 6:56 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71*l**3 + 196*l**4 + 150*l**3 - 79*l**3 + 165*l wrt l?\nAnswer: 2352*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Let s(n) = n**b - 8*n + 3 + 0 + 0. Let v be s(8). Solve -2 - 13 = v*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 53771126 and 53771126 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 71)*2\/15*3.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -b - 14, 21*m - 17*m = -3*b - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*n = 20, 2*i - n = 4*i + 10. Let q(j) = 18 - 48 + 4*j**2 + 24 - 5*j + j**3. Calculate q(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 - 7*o - 11. Suppose g + 3*n + 1 = 0, -138*n + 135*n + 27 = -3*g. Calculate x(g).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14746115?\nAnswer: 5, 2949223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005150747 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g + 4 - 1 - 4. Let b be 3 - (5 - 0)*-1. Does 5 divide j(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b**2*d**2 - 18*b**2*w - 8*b*d**2 - 2*b - 18*d**2*w**2 + 27*w**2 wrt d.\nAnswer: -8*b**2*d - 16*b*d - 36*d*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1352 = 5*f - 212, 0 = -5*a + 3*f + 1955. Is a a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1270, 1268, 1266?\nAnswer: 1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*p - 735*p - 531*p.\nAnswer: -952*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -14645 smaller than -14645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -8*w**3 + 6*w**2 + 2*w + 3. Let d(u) = 5*u**3 - 6*u - 18*u**2 + 19*u**3 + 3 - 11. Let q(m) = -8*c(m) - 3*d(m). Determine f so that q(f) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 2, -2680, -9 in increasing order.\nAnswer: -2680, -9, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*m + 669 + 315, -1952 = -2*x - 2*m. 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: List the prime factors of 12982.\nAnswer: 2, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z + 5. Let k(n) = 4*n - 2. Let l(c) = 2*c**3 + 4*c**2 + c - 2. Let b be l(-2). Let y = 6 + b. Determine y*w(g) + 5*k(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*l - 1 - 11 = 0, 0 = -3*l + 6. Suppose 0 = 2*d + a*m - m + 1, -4*d + 13 = -5*m. What is the second biggest value in -0.4, d, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16, 30, 42, 52, 60, 66, 70?\n\"Answer: -p**2 + 17*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16480 is divided by 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.211934 litres to millilitres.\nAnswer: 211.934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25, 194, 623, 1438, 2765, 4730?\n\"Answer: 21*z**3 + 4*z**2 + 10*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*g - 56 + 230. Suppose g*t + 684 = 6*t. List the prime factors of t.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 981837 a multiple of 859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30757, -30761, -30767, -30775, -30785, -30797?\nAnswer: -30811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -12) + 15 + (1 - -7)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10*l**2 + 3*l + 1 - 5*l - 2*l**2. Let n be t(1). What is the remainder when 9 is divided by n - (-4 - -3)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15041 - 27*v - 7589 - 7450.\nAnswer: -27*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 4*z. Let b(w) = 2*w**2 + 10*w + 9. Let c be b(-5). Let m be 2 + 3\/c*(-2 - -2). Solve 0 = 2*u + m + z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -5*d**2 - 932210*d + 6525715 = 0.\nAnswer: -186449, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -526, -1026, -1516, -1990, -2442, -2866?\nAnswer: -3256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -59, -0.12, -4\/43, 3, 1?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21.2 + -0.113424108759\nAnswer: -21.313424108759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1583 to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**2 - 3*d**2 + 0*d**2)*(-19*d**3 - 11*d**2 - 279196 + 279196).\nAnswer: -57*d**5 - 33*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*c = -97*c + 11*c + 55*c - 13776 for c.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-7*i**3 + 29*i**3 - 158*i**3 + (0*i + 0*i - 2*i**3)*(-5 + 2 + 2) - 3*i + 2*i**3 + 3*i + 2*i + 2*i**3 - 2*i).\nAnswer: 260*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, h: 1, m: 4, j: 2, d: 1, i: 1}. Give prob of picking 2 t and 1 m.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 112 and 3420.\nAnswer: 383040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1758 - -3588. Is 28 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2437 and 1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*sqrt(2592) + -3*2*sqrt(2592).\nAnswer: 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -25. Let w = 9 - i. Let x = 53.5 - 54. Which is the nearest to 0? (a) w (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 6:15 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(363) + sqrt(363) + -2)*5 - sqrt(363)) + -2)**2.\nAnswer: -2376*sqrt(3) + 29547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 205\/4 + -51. Let o = -2 + -9. Let j = 10 + o. Which is the nearest to j? (a) -1\/4 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23364969 is divided by 170.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2725295 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(2\/(-6)*-3). Suppose j = i - 4. What is the tens digit of 12\/16*i*11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -19, -1 in descending order.\nAnswer: 10, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 87.34.\nAnswer: -77.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 487.3381 micrograms to nanograms.\nAnswer: 487338.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/150215 and -24\/39845.\nAnswer: 92081795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 333, 693, 1377, 2391, 3741?\n\"Answer: b**3 + 156*b**2 - 115*b + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/12 - 133\/(-6). Let c = s - 16. Suppose -5*z + c*z = -3*u + 37, 75 = 5*u - z. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9544057453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 474334f - -1?\nAnswer: 4743350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/19 + -17\/38. Let y = -180.952 - -178. Let s = 0.048 - y. What is the second smallest value in s, g, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143 - 59. Suppose 6*z = -6*z - o. Let x(g) = 3*g**2 + 9*g + 17. Is 6 a factor of x(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, i: 1, s: 2, v: 1}. Give prob of sequence sviu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 - m. Let u be 15\/10*(-2)\/(-3). Let c be p(u). Suppose 2*a + 2*t = 0, c*a = 4*a + t + 1. Is a greater than 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzz when three letters picked without replacement from {l: 6, z: 4}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 9.8. Suppose -8*r + 3*g = -11*r + 36, -2*g = -3*r + 11. What is the second smallest value in t, r, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(76)\/sqrt(4))**2*5 - -2*((0 + sqrt(1900))**2 - sqrt(1900))) + 5*(1 + sqrt(2736) + 2 - (-1 + sqrt(2736))*-2).\nAnswer: 160*sqrt(19) + 7225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 668 = -4*r, 3*r - 904 = 4*f - 237. Let p = 42 - f. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g - 12 = 0. Suppose 9 = g*z - 3. Suppose 2*f - 3*b = -f + 3, 2*b - z = 0. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*i + 65*i - 17*i - 1922 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360234 and 4620144?\nAnswer: 5718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 25 = k, 3*k = -0*p - 4*p + 50. Let i = -90 - -140. Calculate the greatest common divisor of k and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408955448?\nAnswer: 2, 11, 29, 191, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.481757941 rounded to two decimal places?\nAnswer: -4.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 12*b**2 - 26*b - 25. Let p be z(14). Let a be (p\/4)\/((-340)\/(-272)). Is a less than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 47.595076822 and -0.4.\nAnswer: 47.195076822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 12 = -5*m, 4*q + 3*m = 20 - 6. Solve -7*c = q*z - 5*c - 18, -3*c = z - 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 5) + -5 - -4 - (-44 - -14).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -2\/13, 19.299, -4\/5 in descending order.\nAnswer: 19.299, 1, -2\/13, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4745 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y - 36. Let w be s(-8). 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 t = 570.7 + -657. Let i = t + 86. Let k = -7 + 9. What is the nearest to k in 0, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, i: 6}. Give prob of picking 1 i and 1 g.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 1. Let n(o) = -6*o - 4. Suppose 5*p - 8*p - 6 = 0. Let m be 3\/p + (-30)\/(-12). Calculate m*n(k) - 4*f(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7869005 = v - 5*y, 4*v - 3*y = -12776111 - 18699892. Round v to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41581\/119989 + 101\/291. Is 0 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -188 (b) 2 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**2 - 21028*p + 84176 = 0. What is p?\nAnswer: -5261, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2169, 4\/7, 8?\nAnswer: 2169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 18*d**2 - 2*d + 2. Let t be o(-18). Suppose 2*s - t = 558. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18368056.\nAnswer: 2, 7, 241, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 0 (c) -2\/11 (d) -1.66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -73*n**3 + 3*n**2 - n. Let v(h) = -75*h**3 + 4*h**2 - h. Let f(y) = 6*d(y) - 5*v(y). Find the third derivative of f(r) wrt r.\nAnswer: -378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3416574648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4610812 minus 52753?\nAnswer: 4558059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*m**3*y**3 - 30515*m**3*y - 1347*m**2*y**2 - 160988*y**4 - y**3 wrt y?\nAnswer: 42*m**3 - 3863712*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -662*a + 5783 - 6598 = 39567 for a.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 218150389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 1. Let w be c(3). Suppose w*g = -31 + 7. Sort -2, 3, -0.3, g in increasing order.\nAnswer: g, -2, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1488 + 1488 + 196*i**5 + i**5 - 3*i**5 + i**5 + (2*i**3 + i**3 - 4*i**3)*(-i**2 + 1 - 1) + 2*i**5 + 0*i**3 + 0*i**3.\nAnswer: 198*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 0 + 0*x**3 + 1\/10*x**5 + 0*x**4 - 8*x - 5\/2*x**2. Differentiate g(y) wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2606.\nAnswer: 2\/1303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2374 is divided by 2365.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*c + c - 9*c)*(0*c + 5*c - 7*c)*(7 - 12 + 18).\nAnswer: -780*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1663513\/294455 + -2015\/358. Calculate the common denominator of 45\/4 and s.\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (32\/36 - 1) + 499\/522 and -55\/6.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 13*g - 3*g + 6*g - 5*g. Let u(n) = -n**2 + n**2 + 2*n**2. Calculate p(u(v)).\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -6*s + s. Suppose s = -9*w + 5*w. Solve w*c = -c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y - 120 = -42*y. Calculate the smallest common multiple of 174 and y.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 123 = 3*h, -4*h = -5*p + p - 144. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 440*h**2 - 973*h - 42515. What is d(-438)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82*-0.073.\nAnswer: 5.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -4*t + 17*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -560599694413.54559836 - -560599756314. Let v = s + -61871.4544. Let l = 29 - v. Round l to seven dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r**2 + 3*r - 35 + 18*r**2 - 3*r.\nAnswer: -2*r**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.3*2.4244.\nAnswer: 15.27372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00250175 rounded to 5 dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.06, -10.3, 0, -7, 21 in descending order.\nAnswer: 21, 0.06, 0, -4, -7, -10.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 1:01 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.32 and 0.04795?\nAnswer: 0.063294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/1261 + 41609\/2522. Let q = 763\/46 - c. Calculate the common denominator of (142\/2)\/(4*1) and q.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -7, 4, 33, 86, 169, 288?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 173292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -46, -92, -150, -226, -326, -456?\n\"Answer: -h**3 - 39*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - -55. Suppose -v = -q - 8. What is the remainder when q is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 6. Solve -5*k + 0*k = r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*(-24)\/(-30)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23792702, 47585409, 71378116, 95170823, 118963530?\nAnswer: 142756237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456*g + 232 = -2960. Let c(y) = -5*y + 16. Let o(k) = -14*k + 48. Let u(h) = 17*c(h) - 6*o(h). What is u(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 0*n + 0*n**5 + 0*n**2 + 0*n**4 - 3\/7*n**7 - 1 - n**3 + 0*n**6. Find the third derivative of i(x) wrt x.\nAnswer: -360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112486421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96886.\nAnswer: 2, 193, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 333 + -281.6. Let m = 61 - t. What is m rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83 - -0.01\nAnswer: -82.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -1540611?\nAnswer: -1540604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 175 = -3*o + 14*o. Suppose -10 = 5*r, 5*r + 20 = 2*q - 0*r. Solve 32 = -q*l + o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3852181?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -9*r - 32. Let d(i) = 9*i + 0*i - 6*i + 0*i + 8*i + 31. Let f(g) = -5*d(g) - 6*v(g). Let u(h) = -3*h. Calculate u(f(o)).\nAnswer: 3*o - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(-14) + 43912\/112*97?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 54091\nAnswer: 1\/54091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5568 + -5571. Let l = -1\/51 + -95\/357. What is the closest to s in -4, 0.1, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 18. Let q = r - 12.8. Let w = -17.5 + 17. What is the second biggest value in -1\/3, w, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a = 3*l - 175082, -4*a - 175070 = 3*l. Let y = a - -15611. Let n = y + 3322597\/118. Find the common denominator of n and 53\/12.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 26. Suppose 4*o + 2*z + 16 = 0, 3*o = -o + g*z - 24. Which is the nearest to -0.05? (a) 1\/3 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-1 + 29\/((-2523)\/(-62)). Let x = -18\/29 - s. Is x smaller than -280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + g + 9 = a, -21 = -a - 5*g. What is the lowest common multiple of a and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-4*3\/(-36)). Suppose -o - 2*k = -1, -2*o - t*k + 1 = -2. Suppose 4*v = -12, 0 = -0*g - 2*g + o*v + 65. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 0*s + 0 + 1\/12*s**4 + 1\/15*s**5 - 12*s**2 - 1\/120*s**6 - 2\/3*s**3. Determine p(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 84\/(-70))\/(3 + 244\/(-80)). Let k(i) be the second derivative of 1\/4*i**4 + 3\/2*i**2 + c*i + 0 + i**3. Suppose k(d) = 0. Calculate d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 12 - (-5 - -7). Let w be (9\/s)\/((-3)\/12). What is the greatest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 4*t - 7\/2*t**2 + 2. Is r(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + (9 - 12 - 3 - 11).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57440*u**3 + 53376*u wrt u.\nAnswer: -344640*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-22) - 1512\/(-5544). Factor 1\/7*c**2 - 1\/7*c + q.\nAnswer: c*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18*(3 - ((-20)\/(-8) + -1)). Let l = -47 + g. Let i be 12\/l*1\/3. Which is the biggest value? (a) i (b) 8 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 276 and 736.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.7474013 milliseconds?\nAnswer: 747.4013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 20*f + 7. Determine z(13).\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t + t**2)*(t + 3*t - 5*t) - 46*t**3 - 124*t**3 - 30*t**3 - t**3 + 0*t**3 - t**3.\nAnswer: -203*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413519299?\nAnswer: 413519299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34885.12 micrometers in centimeters?\nAnswer: 3.488512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7747, -14538, -21329, -28120?\n\"Answer: -6791*o - 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-68)*6\/(-12)*(18 - -30).\nAnswer: -42\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 2*s**7\/63 + 52*s**6\/45 + 43*s**5\/5 + 176*s**4\/9 - 184*s**3\/9 - 160*s**2 + 42*s + 9. Solve b(w) = 0 for w.\nAnswer: -20, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215506 bigger than 214989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/1 - (3 - 2). Let u = w + 240. What is the highest common factor of 28 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34672345*y**3*z + 155*y*z + 8*y + 1326*z + 11 wrt y.\nAnswer: -208034070*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 220\/(-60) + (1 - -3). Let o be (-22)\/99 + 25\/(-9). Let l be ((-7)\/2 + 2)\/(-3). What is the nearest to l in 5, o, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-3\/5)*(d*d\/d**(4\/3))\/d)\/(d**(-1\/5)\/(d*(d**3*d)\/d)) assuming d is positive.\nAnswer: d**(64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Let r(a) = -2*a**3 - 3*a**2 + 3*a - 1. Let z be r(1). Put z, -7, q in descending order.\nAnswer: q, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5931 divided by 3.\nAnswer: 1977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.45*0.117\nAnswer: 0.05265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a - 3. Let u(v) = -3*v - 4. Let i(z) = -4*s(z) + 3*u(z). Let d(t) = t - 2. Let c be d(1). Let h(f) = -f + 1. What is c*h(n) + 2*i(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/7784 and -1\/616.\nAnswer: 85624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**4\/2 - 70387*k**3\/2 + 13671051*k**2\/2 + 19249267*k\/2 + 2753917 = 0. What is k?\nAnswer: -14269, -1, -2\/5, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 11*v**6\/2 + 5*v**3 - 37. Find the third derivative of y(o) wrt o.\nAnswer: 1980*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 17. Suppose -w = -o*w. Let k = 0.7 - 0.4. Which is the nearest to -1? (a) k (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 + -2)\/(2\/(-79))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 11. Sort u, -1, 2 in decreasing order.\nAnswer: 2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1678208 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.004*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5 = 0, 320*a - 316*a = -4*t + 28. Solve -3*b = t*d - 2*b - 11, 0 = -d + 5*b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 6:21 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-2)\/(-6) - 4. Let c be h\/(-6) - (-9)\/2. Suppose -i + d + 3 = 0, 0 = -3*i + 2*d + 5 + 5. Is i >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -738821708365070 + -2.\nAnswer: -738821708365072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 1, d: 7, f: 6}. Give prob of picking 1 f and 1 i.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13327\/4367 + 5\/794. Find the common denominator of u and -103\/204.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 167627923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o - 12*o + 1786 = 0. Solve 0 = -7*r - o + 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22398, 22403, 22418, 22449, 22502, 22583, 22698?\nAnswer: 22853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 47*r**6\/30 + 115*r**2 + 11*r - 10. Find the first derivative of h(p) wrt p.\nAnswer: 188*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55538758 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 37708.81km?\nAnswer: 3770881000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v - 4 = 0. Let h(w) be the third derivative of -5*w**4\/24 + 79*w**3\/6 - 59*w**2. Let l be h(16). Which is bigger: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2, -3*p + 7*p - 2*h = 12. Let l(o) = -o**3 + 6*o**2 + o - 2. Let q be l(6). Solve 4 = -2*g + q*k + 20, p*k = g - 16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4892572369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 25 = 0, -2*c + i + 6612 = 5*i. Suppose 1131 - c = -5*q. Suppose 7*f - 8*f = -q. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (324\/144)\/(6\/(-8))*15\/10?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*n - 1. Let p(z) = 8*z - 70. Let u be p(10). Let h be (34\/238)\/((-5)\/(-525)). Solve -r - n*f - h = -2*r, -5*r - 3*f + u = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110001000101100110 (base 2) in base 15?\nAnswer: 19a3e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 742042, 742354, 742666, 742978, 743290?\n\"Answer: 312*l + 741730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 - 39*k**2 - 38*k - 38. Is a(-33) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 0 + 11\/36*d**4 - 1\/180*d**5 + 0*d**3 + d**2 - 29*d. Let u(l) = 0. What is l?\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/21240 and -121\/240720?\nAnswer: 722160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -t + 5137, -2*f - 5*t - 12183 = -1874. Is 1*(7 - 8 - f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/13)*x)**(-5\/4))**(-33) assuming x is positive.\nAnswer: x**(1815\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 271 = 2*z + 320, -a = 3*z + 889. Let o = z - -302. Solve -3*i - o = -3*q, 19 = 2*q - 5*i - 0*i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - 4*3352\/3201. Let r = 2\/291 + s. Which is the third biggest value? (a) 0 (b) 2\/17 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/k**(2\/21)*k)*k)**(2\/23)\/(k*k*(k\/((k*k*k**(3\/10))\/k))\/k*k\/(k*k**1)))**(-18) assuming k is positive.\nAnswer: k**(-249\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1994 - -2012. Solve -38 = 4*n - z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 6:54 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10813, 40006, 87579, 153532, 237865, 340578?\nAnswer: 461671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*g + 43 = g, f - 4*g = 4. Suppose 0 = -4*s + 4*w + 156, -4*w = -3*s + 110 + f. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*b**2 - 178*b**3 + 183*b**3 - 63*b**2.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldqd when four letters picked without replacement from ddldqqdqdlqqllllqdq.\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 101000111001?\nAnswer: 101000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 440 and 220485540?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/4 - 141*v**2\/4 + 435*v\/2 - 300.\nAnswer: 3*(v - 40)*(v - 5)*(v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1016.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 1.0865.\nAnswer: -4.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1509 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 578, -7?\nAnswer: 578","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 - 136. Let u = 23 - f. Let q = u - -23. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96*b*o**2*z + 28*b*o**2 - 550*b*o*z + 4*b*z - b + 60*o**2*z - 11*o wrt o.\nAnswer: -192*b*z + 56*b + 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.51944 times 0.5\nAnswer: -0.25972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, 5, -5, -1 in descending order.\nAnswer: 5, 1, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43082243 is divided by 5450?\nAnswer: 5443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1. Let v(s) = -s**2 - 2*s. Let y(d) = -2*f(d) - v(d). Let g(t) = -t**2 + 5*t + 2. Let n be g(6). Is 6 a factor of y(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 1636200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 15984994 to the nearest ten thousand.\nAnswer: 15980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 453.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 73e8d02?\nAnswer: -73e8d07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23027528 a multiple of 640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*v + 12 - 3, 0 = -5*p - 3*v + 7. Let z be 4*p\/((-40)\/(-25)). Solve 2*o + 2*o = 4*n + 24, 4*n = z*o - 25 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375644 (base 9) in base 8?\nAnswer: 673655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 g when two letters picked without replacement from {f: 4, g: 8, v: 2, s: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9856 divided by -22.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2305, -2310, -2307, -2290, -2253, -2190, -2095?\nAnswer: -1962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/35*(-3)\/27*(-678)\/(-113).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 77\/120*l**6 - 19\/12*l**4 + 1\/30*l**5 - 22 + 0*l**3 + 0*l + l**2. Find the second derivative of d(u) wrt u.\nAnswer: 462*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.7 + 4.7. Sort -4, v, 12 in decreasing order.\nAnswer: 12, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 114, 265, 480, 759, 1102?\nAnswer: 1509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a day in hours?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -350\/9*l + 688\/9*l**2 + 44\/9 + 32\/9*l**3.\nAnswer: 2*(l + 22)*(4*l - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.45517 and -28?\nAnswer: 26.54483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5*u + 83 = 0, 10*u - 14*u = 4*o - 68 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {z: 1, y: 2, p: 4, q: 1, g: 2, h: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*l**(-6))\/(l**(2\/7))**24 assuming l is positive.\nAnswer: l**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -29 (b) -74 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*((-15)\/6)\/(-5)*-2)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 5. Let x be m(0). Let d be 1\/5 + (-59)\/x. Is 349\/3 + d\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33605441?\nAnswer: 33605441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5643, 1011, 4 in ascending order.\nAnswer: 4, 1011, 5643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + sqrt(272) + -1 - (sqrt(272) - (sqrt(272) + sqrt(272)*2*-3 + sqrt(272)))) + (3 + sqrt(272) + -5)*5)**2 + 2.\nAnswer: -80*sqrt(17) + 376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1495908 and 78.\nAnswer: -1495830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -3. Let m be 6\/3 - (w - 1). Suppose 32 = 5*p + m*n + 12, p + 3 = n. 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 -13 (base 6) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvir when four letters picked without replacement from {k: 1, i: 1, v: 1, r: 1, t: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -1103113?\nAnswer: 1103103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 = 0, 27 = -5*x - b + 3. Let m(n) = -2*n - 6. Calculate the remainder when 9 is divided by m(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/313052 and -95\/1408734.\nAnswer: 2817468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 221*a + 6059. Calculate n(-27).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4)*1)\/(302\/(58588\/873)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/102)\/(3200\/(-3840))?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**4\/4 + r**3 - 3*r**2\/2 + 11. Give w(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1197, -1027 in ascending order.\nAnswer: -1027, -3, 1197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2. Let b(k) = 3*k**2 - 9*k. Let u(x) = -b(x) - 4*g(x). Calculate u(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 264\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11335369 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 7*g**3 + 3*g**2 - 9*g - 39. Let f be c(-4). Let h = f - -409. Suppose -4*k = k - 20. Solve h*x = k*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**3 - 210*o**2 - 1025*o + 67830 = 0. Calculate o.\nAnswer: -17, 21, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25878 less than 28.93291?\nAnswer: -25849.06709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 9*s**6\/10 + 21*s**5\/5 + 61*s**4\/12 - 2*s**2 - 65*s. Determine b so that k(b) = 0.\nAnswer: -2, -1, -1\/3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -9*i**2 + 1\/1980*i**6 + 1\/110*i**5 + 0 + 8\/3*i**3 + 3\/44*i**4 + 0*i. Let v(g) be the first derivative of j(g). Factor v(u).\nAnswer: 2*(u + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - 9 - -4)\/(8\/32). Solve -5*l + k*l = -2*w - 7, 3*w = 2*l - 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/41772 and -121\/354?\nAnswer: 41772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 154977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -51375 divided by 25\nAnswer: -2055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 5, 6*y = -2*m + 3*y + 1. Suppose p = 3*j + 30, -p + j - 50 = -m*p. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k. Suppose 0 = -8*p + 12*p + 40. Let x(c) = 12*c - 10. Let b(j) = 4*j - 3. Let d(l) = p*b(l) + 3*x(l). Determine d(r(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/4))**(4\/33))**39)**(2\/73) assuming l is positive.\nAnswer: l**(26\/803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1172, -2317, -3452, -4577?\n\"Answer: 5*p**2 - 1160*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-76)\/176 - (-1)\/4. Which is the third smallest value? (a) d (b) 0 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1111 or 1109?\nAnswer: 1111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1444 - -1864. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15a61 (base 13) to base 4\nAnswer: 22011203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 7:36 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34696605?\nAnswer: 3, 5, 2313107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22757 - (12\/(-14) - 184\/161) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 less than 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -727.\nAnswer: 4\/727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -6. Let y(m) = -m + 20. Let q be y(12). Suppose -2*x - 2*x = -q. Put -1\/4, x, l in increasing order.\nAnswer: -1\/4, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*g - 90 = 11*g - 1138 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*k - 2*h, 2*k + 3 + 6 = 5*h. Suppose 10 = k*j - 5, -5*q + 65 = 3*j. Let s be ((-6)\/q)\/((-1)\/5). Solve 3*p + 3 = 3*u, -2*u - p = s*u + 19 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -138, -135, -132, -129, -126?\n\"Answer: 3*p - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -785326*g**3 - 51*g**2 - 20*g - 4665893.\nAnswer: -4711956*g - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*p, 23 - 3 = 4*a - 4*p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 4*l, 3*k = 3*l - 6. Let z be 10\/175 - k\/(-10). Which is the second smallest value? (a) z (b) -4\/7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p + 41. Let z be n(12). What is the third smallest value in -1\/2, 3\/4, 9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -1\/6*r**3 - r**2 + 0 - r. Let f = 120 + -114. Determine v(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence is when two letters picked without replacement from kicysysc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/55, 150, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9909)\/(-4037))\/(8\/(-88)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 17, 32, 53, 80?\n\"Answer: 3*j**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1387 + 744. Let l = -213 - q. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Let k(h) = -282*h**2. Give n(k(m)).\nAnswer: -282*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/75*(-8)\/(64\/(-30)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90.44 - 95. Let z = d - -0.56. Which is the closest to 2? (a) 8\/7 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/42 - (-34)\/(-12)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 28482824?\nAnswer: -56965648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(2*-1 - 1). Suppose 0 = -2*s - 6 - 0. Is z equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 2*j**2. Let y be o(2). Let k = 5 + -5. List the prime factors of (k - y) + (-24)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2) + 4 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + 244414?\nAnswer: 244402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3482.717ml to litres.\nAnswer: 3.482717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8)\/(k\/(k*k**(7\/5)*k)))**(-46) assuming k is positive.\nAnswer: k**(1288\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 1 + 2 + -12 - 108 - (-1 - 6)\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, e: 4, s: 1, y: 4, a: 3, i: 2}. What is prob of picking 1 e and 2 a?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 21*a - 62. Let k be x(5). Let n be (-410)\/(-90) - (-8)\/k. Solve 13 = n*y + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/(-22)*(2963 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = z + 4. Let r be 4\/14 + 184\/z. Let o be r - -1 - -32 - 3. What is the highest common divisor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51413 (base 14) to base 10.\nAnswer: 195625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 + 31 - 12 = -4*r - 5*k, 4*r = -7*k + 27 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5161421?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + 4*o**3 + o**3 + 1 - 19*o**3 - 14*o**3 + 26*o**3 + (-3*o**2 - 3*o**2 + 7*o**2)*(4*o - o - 4*o))*(0*o**2 + 0*o**2 + 2*o**2).\nAnswer: -12*o**5 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 14 - f**3 - 52.\nAnswer: -f**3 - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 3:02 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 434 divided by 263?\nAnswer: 434\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -14*s**4\/13 + 1424*s**3\/13 + 6792*s**2\/13 - 45664*s\/13 - 13568\/13 = 0.\nAnswer: -8, -2\/7, 4, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*x, -88 = -4*l + x. Calculate the remainder when 29 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137620769 = 49*v + 97*v - 3*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 704*r - 746. What are the prime factors of h(3)?\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egeegeeeegggg. What is prob of picking 1 e and 1 g?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 378907119, 757814239, 1136721359, 1515628479, 1894535599?\n\"Answer: 378907120*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10373.4802 less than -2?\nAnswer: 10371.4802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2069862 to 2 dps.\nAnswer: 2.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16a0b - 15a1?\nAnswer: 1542a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -360 - -526. List the prime factors of b.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 - 3*w. Let b be h(2). Suppose -3*t = -4*t + b. Does 11 divide 116\/3 + (-4)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 363 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1602482145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 67779168*p - 67779170.\nAnswer: 2*(p - 1)*(p + 33889585)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4470697 is divided by 194?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t - 4. Suppose 353 = 3*c + 179 + 189. Determine r(c).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22617315, -22617347, -22617379, -22617411?\nAnswer: -22617443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3768 = 14*s - 10*s. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 126?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 29 - (58 + -50 + 4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -56, 14 in decreasing order.\nAnswer: 14, 5, 0, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7326 and 1386.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2\/9*a**3 - 512\/9*a + 0 + 40\/3*a**2 = 0.\nAnswer: -64, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2848*g - 6505*g - 633*g - 4221*g in the form b*g + l and give b.\nAnswer: -8511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23107 + -5523. List the prime factors of b.\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-16))\/((-10)\/8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*a**2*m + 77*a**2*q**2 - 2*a**2*q - a*m*q**2 - 81*a*m - m with respect to q.\nAnswer: 154*a**2*q - 2*a**2 - 2*a*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 27. Calculate the highest common factor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -605 - 607 + 1230 + 87*z - 169*z + 86*z.\nAnswer: 4*z + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 23 - 54 - 32?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34, -29, 2, 65, 166?\n\"Answer: f**3 + 7*f**2 - 23*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -411829 less than 165\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1270117 + 0.127. What is x rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, x: 4, s: 6, j: 4, n: 1, z: 2}. Give prob of sequence zins.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = -17*j + 1472. Solve 215*n = 205*n + j for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 5 - 43)*(o + 0*o + 9*o).\nAnswer: -250*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/15 and -58\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*w + 12 = 31*w + 4*p, -617*w + 611*w - 7 - 3 = -4*p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 9 - 39. Let g = -0.01 + 0.51. What is the third smallest value in 3, g, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563681 is divided by 140918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 399, 812, 1247, 1704, 2183?\nAnswer: 2684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12166105 (base 8) to base 10\nAnswer: -2681925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.2 - 37.8. Let m = t + 31.9. Which is the third smallest value? (a) -2 (b) -0.2 (c) m (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**3\/3 + 17*a**2\/2 + 16*a - 10. Let p be 4\/(-16) + 122\/8 + 2. Does 3 divide j(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 7*f - 23*f - 4489*f**3 + 4481*f**3 - f**3 - 3*f**2 + 3*f**2 + (2*f**2 + 1 - 1)*(-f + 2 - 2) - f**3 - 3*f**3 + 3*f**3.\nAnswer: -12*f**3 - 16*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*l**3 - 5 - 4*l**2 + 5 as c*l**2 + k + i*l**3 + n*l and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1887.\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1993\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1389 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -227 - -245. Determine n so that 7*n + p*n - 8*n**2 + 3*n**2 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 - 3*l - 3. Let b(o) = 14*o**2 - 13*o - 13. Let n(m) = -2*b(m) + 11*c(m). Let v(t) = -2*t**2 + 2*t + 2. Give 2*n(r) + 7*v(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-141)*(1 + 2). Let v = y - 71\/376. Let f = 2536 + -2536.3. Which is the third biggest value? (a) v (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -129*h + 9456. Give i(58).\nAnswer: 1974","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/468 and -29\/1640756.\nAnswer: 14766804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-22)\/z**(-1\/9))**(-2\/21) assuming z is positive.\nAnswer: z**(394\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 431. What are the prime factors of v(0)?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -5*s - 14, -2*s + 6 = -7*s + d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -80729.4 and -0.3.\nAnswer: 24218.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yabw when four letters picked without replacement from yyawwby?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 10:05 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.6 - -5.2. Let c be -1*(1 - (2 + -2)). Sort 0.1, c, f, -6 in decreasing order.\nAnswer: 0.1, f, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**8*(m\/(m**(-4)\/m))\/m*m*(m**(-4\/3))**(-35) assuming m is positive.\nAnswer: m**(182\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -853*i = -4*s - 851*i - 38, 75 = -5*s - 3*i for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1852212 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a millimeter in micrometers?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -772 + 1378. Suppose 0 = 2*q - 4*j - 392, -2*q = -5*q - 3*j + b. Is 25 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 9*x + 182. Let v be b(-20). Let u(a) = -6*a - 2. Let d be u(-4). Suppose -6 = v*j - d. Calculate the remainder when 38 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 1. Let y(s) = -10*s + 12. Let j(f) = -y(f) + 12*z(f). Let n(g) = 3*g + 2*g - 3*g. What is j(n(m))?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -165, -136, -93, -30, 59?\n\"Answer: u**3 + u**2 + 19*u - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/165, -0.26, -213\/4?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1, 32, 3, -3, 61 in decreasing order.\nAnswer: 61, 32, 3, 1, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3422083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v = -2*v. Solve v = -5*q - 2*t + 14, -2*t - 3*t = -5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + s + 5, 22 = 2*n + 2*s + 26 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -13*z + 81. Let v be n(6). Sort 1, -149, v.\nAnswer: -149, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 41 + 5. Suppose -y = -4*y - f. Let s(p) = -21*p**2 - 7*p. Let l(i) = -17*i**2 - 6*i + 1. Let t(d) = -5*l(d) + 4*s(d). Give t(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {x: 2, o: 2, e: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9722939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 7*t**2 + 19*t - 1. List the prime factors of a(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4229 + 2057 + 7832*c + 2172 as z + r*c and give r.\nAnswer: 7832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 9:26 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.32 - 7.52. Let y = -7 - f. What is the nearest to -1\/6 in y, 5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 884 - 883. Let r be 3\/((-3)\/(-2)*1). Sort v, r, 6 in ascending order.\nAnswer: v, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 744 and 930.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 289\nAnswer: -3\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 + -40. Let a = -106.37 - u. Is a greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 2073*w**2 + 260694*w - 8679960.\nAnswer: 3*(w - 540)*(w - 94)*(w - 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 2002233?\nAnswer: 2002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + l. Let n(p) = -5*p**3 - 4*p**2 + 10*p. Let m(f) = n(f) - 6*t(f). Let y be m(3). Solve 3*z + y*x = 0, 3*x = 3*z + 2*z - 32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x + 6*x**2 - 1 + x**3 + 0*x + 11*x. What is d(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 11.22985.\nAnswer: 157.2179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.1 - -18. Let i = -49\/5 + 407\/40. Put w, i, -0.5 in increasing order.\nAnswer: -0.5, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 689470?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 259\/39 + 412\/13. Let i = -38 + n. Let b = -0.2 + 0.3. What is the smallest value in i, b, 3\/8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59487 is divided by 614.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110 + 1110000010111100110?\nAnswer: 1110000010111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(25\/(-4)))\/(112\/40)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 222923380 and 340?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**3 - 2*c - 11 - 19*c + 21*c**2 - 126*c. Factor r(u).\nAnswer: -3*(u - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246062.\nAnswer: 2, 123031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z. Let y(l) be the first derivative of -11*l**2\/2 - 3*l + 309. What is y(b(k))?\nAnswer: -22*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1108, -4, -1, 0.05, 1 in ascending order.\nAnswer: -1108, -4, -1, -0.2, 0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1259262 divided by 18?\nAnswer: 69959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14, 368, 1338, 3236, 6374, 11064, 17618?\n\"Answer: 52*i**3 - 4*i**2 + 2*i - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.13291, 32\/7, 0, 4?\nAnswer: -0.13291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37671 - 0?\nAnswer: -37671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)\/w*w*w)\/(w*w\/w**(-2\/11)*w)*(w**0)**10 assuming w is positive.\nAnswer: w**(-79\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 144, 2078, 5714, 11046, 18068, 26774?\n\"Answer: -o**3 + 857*o**2 - 630*o - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**5 - 194274*n**3 - 6*n**2 - 23635046*n.\nAnswer: 40*n**3 - 1165644*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6423 by 2141.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {i: 1, p: 1, r: 1, q: 6, w: 6, t: 3}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034118149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + d + 7. Let o(h) = -2*h**3 - 7*h**2 + 3*h - 9. Let k be o(-4). What is the tens digit of l(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + b. Let v(z) = z**2 - 5*z - 3. Let l(c) = 4*f(c) - v(c). Is l(-5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -11 + 1\/2*s**2 - 1\/3*s**3 - 4*s. Give p(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -980 + 3223. Let r = y - 260. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 765 - 790 = 4*c, c = 9*c + 17*h + 31 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1131322102223 + 0?\nAnswer: -1131322102223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/2574 and -23\/695310?\nAnswer: 27117090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 125?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44.1 - -40. Let g = 1 - -3. Let a = b + g. What is the closest to a in 2\/5, 5, 3\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -366627*m**2 - 40*m + 88. Let g be k(2). Round g to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1384882604, 1384882603, 1384882602, 1384882601, 1384882600, 1384882599?\nAnswer: 1384882598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssqojsqoqszqqqzq. Give prob of sequence qso.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + k**2 + 15*k - 18. Determine p(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2170.024 - 2150. Let f = 0.024 - q. Let c = 20.00005 + f. What is c rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -2 (c) 0.098 (d) 476\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 67205, 66855, 65985, 64361, 61749?\n\"Answer: -39*c**3 - 26*c**2 + c + 67269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -294065851*b*z**3 - 4349*z**3 + 2429*z**2 wrt b?\nAnswer: -294065851*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1 + sqrt(98))**2 + sqrt(98)*1 + -1 - (2 + -6*-2*sqrt(98)))*6.\nAnswer: -546*sqrt(2) + 546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/465 and -41\/21.\nAnswer: 3255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 7*f + 3*f = 20, 3 = 3*f. Suppose -3*k + j = 3*l, k + 9 = l + 1. Solve -2*g + 10 = 0, g - 2*g + 10 = -l*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 10. Let h = -14.66 - -15. Let u = h + -2.34. Which is the smallest value? (a) q (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*h - 10, -4*x + h = -h - 10. Let j = 30 - 26.9. Let q = j + -3. Which is the closest to q? (a) x (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 - 51 + x**2 - 89.\nAnswer: x**2 - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39325 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/6, 2\/19, -1363.6, -6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**5\/5 - 5*x**4\/12 - 7*x**3\/3 - x**2\/2 + x. Let g be u(-4). Let b be 168\/g*(-3)\/4. Are 0 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ommjmwowoomoumm. Give prob of sequence mu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3753, 12496, 26221, 44928, 68617?\nAnswer: 97288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j = 44. Let x = 45 - 20. Suppose -23 = -4*w + x. Calculate the remainder when j is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from {u: 17, i: 2}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1300 + 1138. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 5*d**2. Let x(t) = 4*t**2. Suppose -7*q - 11 = 10. Let n be (-6*1)\/(6\/(-4)). Let i(b) = n*v(b) + q*x(b). Factor i(g).\nAnswer: -4*g**2*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 62 + 260 = 0. What is the highest common divisor of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = 2. Suppose -b*s + 172 = 43. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 72 = -4*r, 3*j = 4*j - 3*r - 10. What is the least common multiple of 18 and j?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/20)\/(196\/147).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1 - (9 + 0 + -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, -5, -27, -67, -131, -225?\n\"Answer: -z**3 - 3*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 9:01 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 783*m**3 - 4*m - 165592 wrt m.\nAnswer: 2349*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 3\/4, -4, 4\/9, -45\/7, 1\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h + 3. Let o be 2\/(-1 + 2) + -9. Is n(o) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 8*f**2 - 8*f + 2. Let u be h(-7). Suppose 0 = 5*c - 5*s - 0*s - 95, 3*s = -c + 7. Let p = c - u. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l**3 + 4*l**2 - 2*l. Let r(y) = -y**3 - 2*y**2 + 8*y. Let t(j) = -17*j**3 - 13*j**2 + 21*j. Let h(z) = -2*r(z) + t(z). Determine 4*h(b) + 9*k(b).\nAnswer: 3*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/63)\/((-7)\/(-63)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -191114784*a**2 - 157880*a + 488.\nAnswer: -382229568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y**2. Let u(v) = -610*v**2 + 16*v + 13. Let n(g) = 203*g**2 - 6*g - 5. Let s(m) = -8*n(m) - 3*u(m). What is j(s(x))?\nAnswer: 297052*x**4 + 2884*x**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -1222 and -1238 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 > 54052\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 less than -0.05093829?\nAnswer: 54.94906171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4521501113 + -10?\nAnswer: -4521501123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 21224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7537 + 7537 - 80*f as b*f + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -629 divided by 325966.\nAnswer: -629\/325966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3)\/h**21)\/(h**(-4))**(2\/65) assuming h is positive.\nAnswer: h**(-4136\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 2*t + 11, t - 219 = -5*a - 227 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 337074618?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/8 + 11*(-42)\/(-616)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tufu when four letters picked without replacement from {q: 1, u: 7, t: 2, j: 1, f: 4, b: 3}.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 143 and 927982.\nAnswer: 12063766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 3*z**3\/2 - 3*z**2\/4 - 3*z + 8. Factor p(g).\nAnswer: 3*(g - 1)*(3*g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 698573 is divided by 49877.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 35 = 3*k, 0*k = -3*u + 2*k + 5. Let v(t) = -t**3 + t**3 + 2*t**3 + u*t + 2*t**2 + 2 - 3*t**3. Is v(-3) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 237?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**2*(n\/n**(2\/19)*n)\/n**(-9) assuming n is positive.\nAnswer: n**(169\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 225*i**2 - i**3 - 42*i**3 + 28*i**3 + 83*i**2 + 132*i**2 as u*i**3 + q*i + a*i**2 + z and give a.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -7. Suppose -3*n = 4*z - 29, -5*n + 3*z - 6 = -u*n. Let i = 6.5 + -7. Sort i, n, -4\/5 in decreasing order.\nAnswer: n, i, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3735 (base 9) to base 3.\nAnswer: -10211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 31 = -5*l, 26*l - 21*l = -15 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2975, -12535, -28447, -50711, -79327, -114295, -155615?\nAnswer: -203287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -4*j + 51\/2*j**2 + 3. Is h(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - 18. Let d = -59 - i. Let g be 0*(d\/20)\/((-1)\/2). Solve h - 4 = -g*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 4*m - 483. What is the remainder when 431 is divided by a(-25)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -109*z**5\/20 + 3*z**4\/4 - 4*z**3\/3 - 10*z**2 + 13*z + 2. Let r be o(-15). What is r rounded to the nearest ten thousand?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*t + 3, 3*w - 6 = t + 13. Suppose 3*f + 2 = w*f. Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62123 + -16865. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 70*k**2 - 700*k + 1123. What is v(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/40)\/(1728\/(-320)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 9 = -7. Let w = 3 - 3.1. Let h = 0.4 - w. Sort f, h, 1\/9 in increasing order.\nAnswer: f, 1\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -468959*c**2 + 17*c - 128. Let a be d(7). Round a to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -263 divided by -263\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13742321 is divided by 40300.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 12*b + 27. Let m be x(-9). Suppose m*l - l = -71. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -256 (b) 11 (c) 24 (d) -2\/7 (e) -4 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 3:44 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (-1)\/(-2)*-4. Suppose -3*v - 17 = -4*v - g*t, 4*t - 10 = 5*v. Suppose -v*o + 6*o - 2*s - 154 = 0, 0 = -2*s - 6. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 728 divided by 1.\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 594*i. Let p(f) = 57554*f. Calculate a(p(g)).\nAnswer: 34187076*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2566268391 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -951 = -72*s - 1527 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11522772*o**2 - 21491280*o**2 - 44863987*o**2.\nAnswer: -54832495*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + -5 - (sqrt(19) + sqrt(171)*5).\nAnswer: -13*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -348 minus -2.26?\nAnswer: -345.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 + -43. Calculate the remainder when m is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*m = 48, -24 - 12 = x + 5*m. Which is bigger: x or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -52) + 69 + -65.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207278244 divided by -23274?\nAnswer: -8906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(266) - (3*sqrt(266) - sqrt(266)))\/sqrt(7))\/sqrt(2) + 1)*5 + 5)**2.\nAnswer: -100*sqrt(19) + 575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162 and 45.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*r = -2, 0 = 5*r - 2 - 3. Suppose -z*g = -0*g - 16. Solve 5*j = 5, g*y - 4*j = 4 - 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1064 - 1073) + (1 - -1) + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 5262\/17, -4, -5, 1\/8, -0.5 in increasing order.\nAnswer: -5, -4, -0.5, 1\/8, 5, 5262\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.4? (a) 2\/25 (b) -1\/3 (c) 2\/17 (d) 0 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 5*l**2 - 7*l - 9. Let v = -464 - -456. What is the hundreds digit of j(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 6*m**2 - 3*m - 35. Let v be u(-5). Suppose 70 + v = 5*q. What is the remainder when 58 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -42*y + 3. Let u(r) = 10*r + 33. Let k(p) = -3*p - 11. Let g(j) = 14*k(j) + 4*u(j). Let s be g(-10). Is o(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 7\/280022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -61\/29, -6\/139403, 1\/9 in descending order.\nAnswer: 1\/9, -6\/139403, -61\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -18340 at most -7983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 610 - -16?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 133\/9 + (-2)\/(-9) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-58)\/8)\/(42\/(-36792)). Suppose 3*v - h - 6252 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**2 + 40*h + 96 = 0. What is h?\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.8 (b) 1 (c) 8\/135 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 691 or 76\/2993?\nAnswer: 76\/2993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, -2.29, -16.7, 0.3, 3?\nAnswer: -2.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 402, -12.\nAnswer: -12, -1, 0, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(17) + 0)**2 + sqrt(17) + -4 + (4 + sqrt(17)*-1)*2.\nAnswer: -9*sqrt(17) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k - 15*k + 47*k**2 - 43*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**3 - 3*o**2 + 8*o + 6. Let k(u) = u**3 - u**2 + 3*u + 2. Let g(z) = -8*k(z) + 3*m(z). Let x(y) = 1. Calculate -g(a) + 2*x(a).\nAnswer: 2*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/5880 and -73\/3045.\nAnswer: 170520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3357 and 2611.\nAnswer: 23499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence icc when three letters picked without replacement from ccccccccciicccccccci?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384253 is divided by 167.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q**2 + 2*q**2 - 6*q**2.\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/o)**(2\/11)*(o*o**(1\/9)\/o)\/o**(2\/3) assuming o is positive.\nAnswer: o**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 3*u + 42. Let z be s(8). Let m be z\/9 - 790\/(-90). Solve r + m - 7 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 take away 233.755492?\nAnswer: -242.755492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 5)*(2*w**3 - 2 + 2) - w**3 + 4*w**3 - 5*w**3 - 57 - 28*w**3 + 33 + 42*w**3 - 3*w**3 - w**3 + 3*w**3 + (-2 + 0 + 0)*(w**3 - 2*w**3 - w**3).\nAnswer: 11*w**3 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00037217 to six dps.\nAnswer: -0.000372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -271 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40579?\nAnswer: 7, 11, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -17*q + 0 + 10 + 16*q. Let a be k(10). Let h(y) = -y**3 + y**2 - y + 17. List the prime factors of h(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**2\/2 - 16*f + 6. Let h be w(-12). Put -13, h, -5 in decreasing order.\nAnswer: h, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2524*w + 66*w**3 - 2524*w.\nAnswer: 66*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -592*q**2. Let p(b) = 185*b - 20. Calculate p(l(t)).\nAnswer: -109520*t**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12334192963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -89, -123, -171, -233?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/44*(-15 + (-126)\/(-4)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 10 = -4*x - 2*p, 0 = 3*x - p - 33. Let n(h) = 10*h**2 + h - 1. Let r be n(1). What is the greatest common divisor of r and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 56 + -42?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 100041 and -26?\nAnswer: 100067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**9\/5040 - y**7\/840 + 3*y**4\/4 - 4*y. Let j(b) be the third derivative of f(b). Factor j(g).\nAnswer: 3*g**2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 993 + -991.78. Let p = x + -1.62. Let a = 2.2 - 1. What is the nearest to a in p, 3\/7, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 j when three letters picked without replacement from nnjkmhjp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -5. Let g(y) = -3 + 7 + 11*y**2 - 9*y + 2*y**x. Let w(t) = -4 + 0*t + 3 - 3*t**2 + 2*t + 0*t. Determine 2*g(m) + 9*w(m).\nAnswer: -m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + u**2 + u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/5 - -1)\/(-41 + 6293\/155).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 102\/4*1\/(-3 - 217\/(-70)). What is the highest common divisor of 663 and i?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 12, e: 7}. Give prob of sequence rree.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*f + 80, -2*x + 4*f = 3*x - 144. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 12. Let t(u) = u**2 - 115*u - 663. Let h be t(-6). Suppose 0*q + 4*q + h = x*v, -4*q + 12 = 0. What is the highest common divisor of 105 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 0.05, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 - 16*z**2 + 22*z + 17. Give t(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -8 + 15 - -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - k - 160 = 0, 4*a - 4*k = 3*a + 35. Let r = -18 - -23. Suppose r*l = 15 + a. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4145\/2 in 2, -0.12, -7\/13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/5 or 2\/94513?\nAnswer: 2\/94513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(2\/3)\/h)**(18\/13)*h*(h**(3\/8)\/h)\/h*h*(h*h**18)\/h assuming h is positive.\nAnswer: h**(2151\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -213041520 by 1183564.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + (-8)\/6)*6. Suppose 52 = t*z - 16. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -x + 5*x. Let r(g) = 10*g**2 + g - 1. What is the units digit of r(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -30. Let m(a) = -9*a + 3*a + 7*a + y*a. Let v(s) be the second derivative of s**4\/4 - s. Determine v(m(n)).\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**5\/60 + p**4\/4 + 3*p**3\/2 - 5*p**2. Let t be 1 + 8*(2 + -3). Let y be o(t). Solve -7*r = -3*r - y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/21)\/m*m**(-13)\/m)\/(m**(3\/7)\/((m*m**20*m)\/m*m)))**(-2\/27) assuming m is positive.\nAnswer: m**(-46\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -42 (b) 2\/5 (c) 103734.71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 1128.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2758625, -2758623, -2758621, -2758619, -2758617, -2758615?\nAnswer: -2758613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express m**4 - m - 2*m**4 - 808*m**2 + 806*m**2 + m**3 as h + l*m**3 + k*m + p*m**2 + v*m**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**4\/2 - 6*u. Let l(w) = 5*w - 5*w - 2*w**2 - w**2. Determine l(p(b)).\nAnswer: -108*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -744*z + 4061*z + 9262*z.\nAnswer: 12579*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1152) + ((sqrt(162)*-2 + sqrt(162))\/sqrt(9) - sqrt(18) - sqrt(18)) + sqrt(18))\/(2*(3*sqrt(6)*2 + 2*(sqrt(6) + 1*sqrt(6)) + sqrt(6))))**2.\nAnswer: 147\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*w - 424 + 37 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53515\/(-22)*(-28)\/35.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/3929?\nAnswer: 1\/3929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57342 divided by -110.\nAnswer: -28671\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 382 and 5921.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1440?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4722 divided by -3\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((2 - -5) + (13 - 28) - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*x - 8403 = 0, 0 = 4*d + 5*x - 8*x - 6722. Suppose -14*t + 981 = -d. List the prime factors of t.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 7. Suppose -m*v = -11*v - 290. What is the remainder when v is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 784051 is divided by 1914?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 20045062 (base 7) to base 14\nAnswer: 312569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14620795 is divided by 5307.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 36*x + 39. Let z be w(-35). Solve z*p - 1 = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -134. Let c = z - 250. Let t = 117 + c. Solve 14 = 4*m + 3*r, -m = 2*r - t*r - 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5*s + 37 = -30 + 22, -u + 4*s - 21 = 2*s for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 467712, 467737, 467774, 467817, 467860, 467897?\nAnswer: 467922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by 435?\nAnswer: -76\/435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.2 (b) -1 (c) -11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280439 is divided by 88?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 8:48 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, m: 1, t: 4, s: 3, c: 7}. Give prob of picking 3 t.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 8 = -12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1102 and -37\/566.\nAnswer: 311866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 256320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*(-4*3*sqrt(17)*-1 + ((2*sqrt(119))\/sqrt(7) - (0 + sqrt(17))*-4)))**2.\nAnswer: 3172608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * -587\nAnswer: 64.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -161274*i**3 - 128510?\nAnswer: -483822*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 2*r - 3*r)*(1 - 5 + 1)*(-r**2 + 3*r**2 - r**2).\nAnswer: 18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -16*h - 26. Let m be d(-4). Suppose m*o = o - 9620. Is o less than -259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.097 times -845.5\nAnswer: -82.0135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1557 - 1553.131. Round j to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/6 - (11 - ((-658)\/(-35) + -2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 121944*i**4*w**2 + 465*i**2*w**2 + 484*w**2 - 43050*w with respect to i.\nAnswer: 487776*i**3*w**2 + 930*i*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -52, 1, -5 in decreasing order.\nAnswer: 1, -2, -4, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 393102849?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -73964?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**5 + 320*p**4\/3 - 40*p**3 - 320*p**2\/3 + 36*p = 0. What is p?\nAnswer: -27, -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 37 = 5*b - 8, 5*p = 4*b - 45. Let d(j) = j**3 - 5*j**2 + 4*j + 2. Let u be d(3). Let l be 9\/36 - (-1)\/u. Solve -b*q = -l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -236*c - 2. Let h(t) = -159*t - 1. Give -7*h(y) + 5*u(y).\nAnswer: -67*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 11*q = -285*q + 4607. Put 2, q, 4, 6, 1 in increasing order.\nAnswer: 1, 2, 4, 6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - ((2 - 7) + (0 - (2 + -1)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 8, s: 10}. What is prob of picking 1 b and 1 s?\nAnswer: 80\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + 2*a + 0*a)*(-1 + 1 - 3)*(2 + 2 - 2)*(117 + 119 - 232) in the form r + l*a and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16168, 16167, 16166, 16165?\n\"Answer: -w + 16169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 6*j - 4. Let x be n(4). Let b be x\/(-20) + (-36)\/(-15). Solve 4 + 8 = -b*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1069572499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o - 36. Let z(h) = 23*h - 9671955 + 9671955 - h. Calculate z(l(u)).\nAnswer: 44*u - 792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -76. Let x = -64986546.999973 + 64986576. Let h = u + x. What is h rounded to six dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/25)\/w)\/(w\/((w\/(w**(-10)*w))\/w))*w**(-3\/5)\/w**(1\/24) assuming w is positive.\nAnswer: w**(3863\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/16? (a) 5 (b) -1\/8 (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.506 - -0.58. Let t = -1.94 + s. What is t rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zsw when three letters picked without replacement from {p: 3, t: 4, s: 4, r: 2, w: 3, z: 1}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -355 + 358. Suppose p*n + 2713 = 5*s, -n - 543 = 12*s - 13*s. What are the prime factors of s?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 u when three letters picked without replacement from dddddddddddud?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and -7.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*m**2 - 2)*(0*m**3 - 5*m**3 + 2*m**3 + (4*m - 6*m + m)*(m**2 + 5*m**2 - 4*m**2)).\nAnswer: -15*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14835 is divided by 78.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2 + 2*f - 1. Let a be s(-3). Let u = 0 + a. What is the remainder when 50 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -797*b**3 + 36733*b**2 + 666525768*b?\nAnswer: -4782*b + 73466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/80 (b) 0.5 (c) -4 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7555842m to kilometers.\nAnswer: 0.0007555842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -2*g**6\/15 + 12*g**5\/25 + g**4\/15 - 8*g**3\/5 + 8*g**2\/5 + 74*g - 3. What is d in m(d) = 0?\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 2)*30\/20 - 2. Let z(x) = -22*x + 16. Let q(c) = 7*c - 5. Let n(v) = u*z(v) - 16*q(v). Let k(o) = 38*o. Determine n(k(w)).\nAnswer: -76*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 9 = 3*r, 7 = 5*r - i - 0. Let y be (4\/12)\/(r\/6). Are 2\/27 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4550559 is divided by 113?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 63\/8 in -16, -2, 15, 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1069 is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 2*i - 4*i + (-4 + 2 - 1)*(22*i + 39*i - 27*i) as b + x*i and give x.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - 19. Let d = 82 + f. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13558)\/(-5)*(-3)\/((-6)\/5). Suppose 5*g + y - m = 0, 5*g - 3*y - 8689 = -1926. List the prime factors of g.\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 69 = 59. Suppose -v - 5*d = -a, -4*d = 3*v - 12 - 29. Suppose r = 5 - 2. Solve -r*l = v + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-4)\/(104\/(-30)). Let v = -8 - -13. Let w = -8 + v. What is the smallest value in w, 0.4, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 377604500 and 750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34d (base 16) in base 2?\nAnswer: 1101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o - 7. Let y be u(16). Suppose 22*z = 27*z - y. Solve -4*m - 2*a = -5*m + z, m - 13 = 4*a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 2688879325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + -100 + (0 - 0). Let j = 131 + a. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - (-1 - 4 - (-5 + 1 + -17 + 8)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 32*u - 107. Let m be n(4). What is the highest common factor of m and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 1448*o**3 - 116894*o**2 - 120958*o - 2616 = 0.\nAnswer: -1, -4\/181, 327\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 15008960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 2:14 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-3)*(-11)\/(-66)*-9. Solve -j*h = 2*v, -3*h + 0*v = -2*v + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 n when two letters picked without replacement from {w: 3, l: 3, s: 2, x: 4, n: 2, z: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31326 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3380 - 3368. Solve -48*u = -52*u + d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 211381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20 and -728.03.\nAnswer: -748.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -32571 (base 8) in base 16?\nAnswer: -3579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7646603*m**3 - 17140832*m?\nAnswer: 45879618*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8044*x**2 + 64424*x + 576.\nAnswer: 4*(x + 8)*(2011*x + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idsi when four letters picked without replacement from {d: 4, b: 1, s: 2, i: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3 - 4. Suppose -t + 6 = d. Let i = 15 + -9. Which is smaller: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6563.135ml to litres.\nAnswer: 6.563135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 207736.4631 - -747.3.\nAnswer: 208483.7631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 11947345499?\nAnswer: -11947345504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 - -48. Let p be (u\/(-2))\/((63\/28)\/9). Solve 14 = 2*i + p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11845*i + 3*x + 40 = 11841*i, -2*x = i + 30 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b771 (base 12) to base 15.\nAnswer: -5e51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3528 + 7846.88572.\nAnswer: 11374.88572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwa when three letters picked without replacement from wwdba?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -21172, 1\/5, 4, -4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drnuiinnnndddninnun. What is prob of picking 1 d and 1 n?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 510*j**5 - 6*j + 36 wrt j?\nAnswer: 10200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 2*b + 81, 2*u = 2*b + 2*b + 26. Suppose 2*z - 12 = -3*z + 2*r, 3*z - 5 = -r. Solve 4*o + 5*m = -5, -4*o = m + z - u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 575 + -52?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -39. Let v = 2.2 + p. Let r be 4 + 1555\/(-455) - 16\/104. What is the second smallest value in -0.1, 5, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srjerbblj. Give prob of sequence brl.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2. Let m(o) = -230*o. Let y(p) = -58*p. Let v(g) = 6*m(g) - 25*y(g). Calculate v(z(l)).\nAnswer: -140*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(5)*1 - (-5 + sqrt(15)\/sqrt(3))) + 4 + -6*(1 + sqrt(245)*1))**2.\nAnswer: -252*sqrt(5) + 8829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 2.07.\nAnswer: 0.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*b - 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 803615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-21)*(x**(2\/47)*x)\/x)\/(x**5*x*x**37) assuming x is positive.\nAnswer: x**(-985\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {z: 4, h: 2, w: 4, r: 7, a: 1}.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.2, 59, -4, -658 in decreasing order.\nAnswer: 59, 0.2, -3, -4, -658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -11*v**2 + 26*v**2 + 149 - 13*v**2 + 19. Does 7 divide s(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/2, -1591\/7, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1793478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 12:25 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(272)*-2 + sqrt(272)*-1)**2 - (-5 + sqrt(102)\/(sqrt(54) - sqrt(6)) + sqrt(17) + sqrt(17) + (sqrt(17) + sqrt(17)*3*-3)**2).\nAnswer: -3531 - 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 4, 44.3, -4, -112?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - w + 6. Let l be c(0). Suppose -q + l = 4. Let p be 232\/(-6) + 16\/(-12) + q. Is p bigger than -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/246499803 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1481 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17903 and -62.\nAnswer: 17841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 z when four letters picked without replacement from {z: 4, y: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 15*p + 40. Let b be o(12). Sort -3, -4, b.\nAnswer: -4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11022072?\nAnswer: 2, 3, 353, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j + 552 = -388. Solve -24 = 4*g + 2*h, 4*g - j*h + 24*h + 32 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 12 + 16 = 0. Let b(j) = -3*j + g*j - j + 6. Calculate b(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 + 47*w**2 + 251*w - 5. Give k(28).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 50163, 50164, 50167, 50172, 50179, 50188?\n\"Answer: x**2 - 2*x + 50164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 755354?\nAnswer: 755356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1069 and 21.116.\nAnswer: 1090.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, 1.5112, -0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m - 3. Suppose -2*c + 5*c = 12. Calculate j(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 2*q + 4032 = 0. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-28))\/((4\/1)\/(-24))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdp when three letters picked without replacement from {q: 3, v: 3, d: 7, x: 2, p: 1, y: 1}?\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82344 is divided by 222?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 3 (b) -1\/8 (c) 40 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 12 + 2 + 11 + 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -193\/13260 and 15\/22066?\nAnswer: 8605740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-14)*450\/(-1125). Let x = -0.7 - -0.4. Let k = x - -0.5. Is s greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r - 8. Calculate v(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 852, 1433, 2038, 2679, 3368?\nAnswer: 4117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12037*d - 3*d**2 + 6009*d + 6012*d + 13 to g*d + x*d**2 + k and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, e: 1, c: 2}. What is prob of sequence ppp?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.5 - 0.7. Let v = 1.2 + r. Let f = 4.6 + v. What is the second smallest value in 5\/4, 3\/5, f?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164 - 75 - 40)*(2 + 0 - 3)*(2*a - 1 + 1)*(-3*a - a + 2*a).\nAnswer: 196*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 1. Let v(p) = -3*p**2 + 7*p - 6. Let g be v(5). Let z be 4\/14 - g\/(-14). Is z greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139.524015 + 139.51. Round g to 4 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 636 - 635.9999307. What is p rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/117)\/((-68816)\/232254).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/17528 and -113\/17528.\nAnswer: 17528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + 16\/(16\/(-4)). Let u be (-12 - -9)*(-4)\/(-3). Let g be -8 - -15 - (u + a). Solve -y + 3*j + g = 0, 2*y - 2*j = -3*j - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172167181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -10*q - 7. Let m be a(-5). Is 43 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from gfovgfogfglgbbooobo?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**2 - 6*k - 4. Let j be 4\/2*((-62)\/31 - 0). Determine f(j).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -1\/2*z**2 + z + 1. Let j(i) = 4*i - 10. Let k be j(4). Calculate p(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1175 + 355*f - 191*f - 156*f - 1175.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5244)\/4674)\/(-23)*(-2)\/4?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 5*g - 7. Let t = 71 + -52. Calculate the remainder when t is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 12) to base 3\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2063642016?\nAnswer: 2, 3, 3461, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-30))\/(54\/81)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 56\/3, 0.4, -1\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4\/7 + 16018312*h**3\/7 + 48054960*h**2\/7 + 48054968*h\/7 + 2288332.\nAnswer: -4*(h - 4004581)*(h + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**2*w**4 - 8*c**2*w**3 + 36*c**2 + 3*w**2 wrt w.\nAnswer: -24*c**2*w - 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = -4*j - 2*n + 87, -5*n = 15 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 1311 = -3*l, -27 = 5*t - 5*l - 1672. Suppose -u - 524 = 2*m - 7*m, -3*m + 3*u = -t. Suppose -5*z + m = -161. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111 + 111110001010111000100000?\nAnswer: 111110001010111001010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20737 = -4*t + 5*c - 9253, -37498 = 5*t - c. Let f be (-17 - 143)\/(1\/t). Round f to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((5 - 3 - 12) + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 2*n - 3*r, 39 = 4*n + 2*r - 283. Suppose n*o - 48447 = 73*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 21189772?\nAnswer: -21189775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -376, -757, -1140, -1531, -1936, -2361?\n\"Answer: -s**3 + 5*s**2 - 389*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -172095 - 36?\nAnswer: -172131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2.4. What is the second biggest value in h, -0.3, -4, -0.04?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - -40d2c6b?\nAnswer: 40d2c73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.45 + 110.45. Let r = -110.000124 + v. What is r rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*j**3 + 9 wrt j?\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-140))\/1*-5.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -1\/100*a**5 - 3*a + 1\/30*a**4 + 0*a**3 + 0*a**2 + 0. Factor i(v).\nAnswer: -v**2*(v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5355 + 897 + 2345 - 1787)*(-o**3 + 1 - 6*o**2 + 6*o**2) to r*o + l + a*o**3 + g*o**2 and give l.\nAnswer: 6810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rpfrrprrppffpjpf. Give prob of picking 2 p, 1 f, and 1 r.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -233*x**5\/30 + 137*x**4\/8 - 90*x**2 - 1. Find the second derivative of y(q) wrt q.\nAnswer: -932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -12 + (14 - (0 - -8))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k + 17 - 17 + 32. Let w be b(5). Suppose p + 3*x - 11 = 13, -p + w = 4*x. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/198 and -74\/9.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15725 smaller than 15706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98963.\nAnswer: 98963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(77) + sqrt(77)*-2*-5))\/(sqrt(66)\/(sqrt(96)*-3)).\nAnswer: -660*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26772*y**5 - y**3 + 420*y**2 - 29090465*y wrt y.\nAnswer: -535440*y**3 - 6*y + 840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-4)*((-504)\/(-70))\/(-18).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**(-34)*(d*d**(-2))**48 assuming d is positive.\nAnswer: d**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 p when three letters picked without replacement from {v: 2, i: 2, z: 1, p: 1, x: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-86)\/4128*-48)\/((-1)\/((-6)\/(-8)))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + -20. Suppose 0 = -4*u + 18 - 10. Let d be (u + 2)\/1*(0 + 2). Is d > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 3. Let h be ((-1)\/(-12))\/((-248)\/24 - -10). Let k = 2.5 - 3. What is the nearest to h in 3, t, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1\/4, -1, 0.3, 2.\nAnswer: -1, 2\/9, 1\/4, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*-57*(0 + 1). Let v = f - -572\/5. Sort v, -1\/4, 0.24 in increasing order.\nAnswer: -1\/4, 0.24, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286\/(4 + -2) - (-7 + 7).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/42 and 1\/48328734.\nAnswer: 338301138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/((60\/(-79))\/(-5)) and -51\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a week?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*s + 7, 4*t + 13 = -3*s + 6*s. Let z be (-3)\/s + 1 + 0. Let a = 29\/16 + -7\/4. Which is smaller: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 20*q**3 + 58*q**2 + 76*q + 150. Let m(b) = 7*b**3 + 19*b**2 + 25*b + 50. Let r(t) = -17*m(t) + 6*z(t). What is the tens digit of r(-23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + 42?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -13*w**5\/5 - 3*w**2\/2 + 26*w - 58. What is the second derivative of x(a) wrt a?\nAnswer: -156*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96*t**4 - 110298*t**3 - 16*t - 29333?\nAnswer: -1152*t**2 - 661788*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 20*t**3 - 4*t**2 - 80*t + 16 = 0.\nAnswer: -2, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*i = 31, -21*i = -8*b - 24*i + 19. Solve -4*f + b*k + 27 = 0, 5*f - 8*k = -3*k + 30 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -483, 17, 34.\nAnswer: -483, -7, 17, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4 = 9, -2*n - f + 3 = 0. Let c be (n + 0)*(2 - 3). Let i = 96\/13 + -877\/117. Are i and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 936 + -917. Calculate the remainder when z is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1080 - h + 1080.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(121)\/(sqrt(99)\/sqrt(9)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/12 - (-1790)\/10. Let n = -26 + -29. Let t = -33 - n. What is the greatest common factor of k and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by 7?\nAnswer: 117\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 4*q + 4. Let w be v(-4). Suppose -a - a - 8 = 4*u, -w*u - 4 = 4*a. Solve l = -l + a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2, -74, -0.1, -1\/88, 2\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 142864 and 266.\nAnswer: 19000912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9*(0 + 2)*5\/15. Is u at most as big as 246\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 0 - 1, -2*x - 4*d + 10 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**5\/20 - c**4\/2 - 4*c**3\/3 - 3*c**2 - 163*c. What is g(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 3 + 0 = -3*z, 0 = z - 4*y - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 196245 - -189045. What is g rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + -2 + sqrt(684))*4)**2*-6.\nAnswer: -263040 + 4608*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*z + 3*z. Solve 71*c - 32 + 35*c**3 + 49*c**2 + 41*c - 25*c**2 - 111*c**z - 28*c**4 = 0 for c.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n + 14. What is l(-5)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 15 = 6*s, 78*v - 3*s + 15 = 74*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvccvccccccc. What is prob of picking 1 v and 2 c?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 92272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 2*o - 15, -6*f - 10 = -5629*o + 5625*o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, h: 7}. Give prob of picking 2 d.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/7 (b) 0.1 (c) 498 (d) -14 (e) 0.3 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5392 or 0.4?\nAnswer: 5392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 10*y. Suppose 2*w + w + 30 = 0. Let i = w - -14. Suppose i*l = 7 - 3. Calculate h(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5)\/35*(-182)\/468 and 3\/1540?\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/(-25) - (-13)\/((-65)\/(-4964)).\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 539, 1028, 1531, 2054, 2603?\nAnswer: 3184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 10.47 and -0.01.\nAnswer: 10.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*t - 522 = -146*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*d = 11 - 5, 5*l = 5*d + 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 7*b**2 + 11*b - 30. Let n be i(8). Let r be ((-15)\/n - -2) + 1\/(-2). Solve 0 = r*k + 1 + 15 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.9 - -131.9. Let k = c + -132. Let g = -0.1 - -0.1. Sort -0.05, k, g in descending order.\nAnswer: g, -0.05, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from ooojjjjjjo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-24)*1*4\/1163. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + -4*sqrt(32)\/sqrt(4) - sqrt(8))\/(sqrt(196) + sqrt(196) + -1*sqrt(196)) + -1.\nAnswer: -1 - 4*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -13*(1 + -4)*(-2)\/(-6). Let w = c + 22. What is the derivative of -50 + 14*y + 65 - 4*y - w wrt y?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = q, -3*w + 13 = -q. Suppose c - 12 = -w*c. Solve -5*a - 7 = -2*n, n = -n - c*a - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 + 39. Let l be (6\/15*-3)\/(16\/20 + -4). What is the biggest value in h, -8, 0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -610\/17. Let r = 647\/3 - 216. What is the nearest to -7 in 2\/11, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + j + 2*j - 149, -5*j = -5*g + 310. List the prime factors of g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.65079 millennia in decades?\nAnswer: 565.079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 12*h. Let k(v) = -3*v. What is k(f(x))?\nAnswer: 3*x**2 + 36*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 2 + 76)*(6 - 6 + g).\nAnswer: 69*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m + 20. What is z(-25)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1061905 - 3.\nAnswer: -1061908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -587204*a**4 - 354*a - 507 wrt a?\nAnswer: -7046448*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26737 + -12502. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**3 + 7 - p**2 - 2*p - 7 in the form j*p + b + i*p**2 + u*p**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*o = -o + 11, -13 = -3*m - 4*o. Let d be (m - 2) + 9 + -3. Suppose d*p + 34 = 2*h - 2*p, -54 = -4*h + 3*p. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 2 + (17 - 21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u + 8. Suppose 2*j = -6*j - 32. Put u, 3, j in descending order.\nAnswer: u, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -3 + 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71866 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/4 of a micrometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/12 - (-12)\/855*58850\/(-8560).\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6699*w**2*z + w*z - 5871*w - z wrt w.\nAnswer: -13398*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + 0*d**2 + 2*d**2)*(-4 + 1 + 4) + 4*d**2 + 7*d**2 - 3*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/sqrt(99) - (0 + sqrt(1053)))*2*-5.\nAnswer: 260*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -160, -318, -476?\n\"Answer: -158*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + j - j)*(-1 + 1 + 4*j) - 7*j**2 + 0*j**2 + 2*j**2 + (5 + 0 + 2)*(j**2 + 2*j + 25 + j**2 - 12).\nAnswer: 17*j**2 + 14*j + 91","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361916 is divided by 1190.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2904.3486 months to millennia.\nAnswer: 0.24202905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-35)\/10*1)\/(((-54)\/6)\/252)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11317895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42243, 1\/2, 1\/180, 4 in decreasing order.\nAnswer: 4, 1\/2, 1\/180, -42243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3402.62037 and 0.3?\nAnswer: 3402.32037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.6, 0.4, 0.53?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 2, -4, -180, -5, 0.4 in descending order.\nAnswer: 2, 0.4, -4, -5, -111, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 332*x + 28682. What is s(-87)?\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyoo when four letters picked without replacement from {o: 4, y: 7}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnww when four letters picked without replacement from {w: 4, j: 10, n: 5}.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = p - 8, -p + 5*s + 2 + 10 = 0. Suppose 4*b - 4*g + 6 = 3*b, -b = p*g. Let i(h) = 38*h**2 - 7*h - 6. List the prime factors of i(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 1 + 3)*20\/8. Let q(x) = -x**3 + 6*x**2 + 8*x - 11. Is 25 a factor of q(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 4*f. Let o be c(4). Let n be ((-480)\/(-9))\/5*3\/2. Solve 5*y - y - n = -4*u, o = -4*y - u + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**38\/c**(42\/5)*c**(-4\/9)*(c\/c**(-11)*c*c)\/c assuming c is positive.\nAnswer: c**(1897\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*o - 37826 - 75547 = -2599*o for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**2. Let s(i) = -i - 5*i - 17*i. Calculate s(y(w)).\nAnswer: 69*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - -12. Suppose -3*m + g = 15. Suppose -j = j. Sort 1, j, m in decreasing order.\nAnswer: m, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 186, 760, 1722, 3078, 4834, 6996, 9570, 12562?\n\"Answer: s**3 + 188*s**2 + 3*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2771, -2876, -2981, -3086, -3191, -3296?\n\"Answer: -105*w - 2666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 4*t - 3. Suppose 4*s + 5*r = 0, 7 = s + 3*r - 0*r. Let y be w(s). Find the second derivative of y*i - 3*i**2 - 3*i - i wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11760 is divided by 3918.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-4*4 + sqrt(17) - sqrt(17))**2 + sqrt(17) + (sqrt(425) + 2*sqrt(425))**2.\nAnswer: sqrt(17) + 8177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 0.7696.\nAnswer: 3.7696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 14*g + g + g**3 - 11 - 9*g**2 - 5*g. Let p be t(8). Let -p*f + 4 + 5*f + f**2 - 5*f = 0. Calculate f.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -340\nAnswer: -7\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13368087081 and -4.\nAnswer: -13368087085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1762485, -1762484, -1762483, -1762482, -1762481?\n\"Answer: f - 1762486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u**2 - 3*u**2 - 5*u**2 + 21*u**2.\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 7*j. Let s be l(-6). Let a be -21*((-30)\/(-9) + -3). Let z = s + a. Is z < 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, 4, -0.34, -0.45?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13715 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -19. Suppose 4*j = -3*p - 1 + 10, 0 = 5*p - z. Let s = 2 - 1. Sort j, 4, s in descending order.\nAnswer: 4, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 + 24 = 3*q, 0 = -2*o + 2*q - 32. Let s = -14 + 4. Let v = s - o. Solve 5*x = 3*w - 14, -w + 4 - v = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6123800 rounded to the nearest 10000?\nAnswer: 6120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/3*(-592)\/3256. Which is bigger: x or 81\/35?\nAnswer: 81\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 + 62*o**2 - 21*o + 89. Determine k(31).\nAnswer: -562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14.7 - -12\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 w when three letters picked without replacement from {w: 3, o: 11}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 168 - 174. Which is the closest to -4? (a) n (b) 4\/3 (c) -3\/2 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33 - 20422?\nAnswer: -20455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/8*4*-235. Let w = 344 + u. Is w\/3 + (-4)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - c = -4, -2*c + c - 2 = 2*z. Let w = -1551 + 1541. Let t be (252\/45)\/(-14)*w. Sort 1, 3, z, t in ascending order.\nAnswer: z, 1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 4*h + 6, 4*z - 2*h + 5 - 11 = 0. Let d be (-10)\/(-4) - 2\/(-4). Suppose 4*n + d*v = 0, -4*v = -z*n - 2*n. Sort -1, -5, n in decreasing order.\nAnswer: n, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from {i: 1, o: 7, w: 1, u: 4}?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16629028139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + -2*sqrt(500) + 2.\nAnswer: -10*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 - 110. Let g = 1 + -2. Which is the third smallest value? (a) m (b) -0.5 (c) 2\/23 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 444 + -440. Suppose 5*y + 16 = m*l + 8, 5*l = 10. Solve -4*f + 8 + y = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 - a + 2. Let b(t) = -20*t**2 - 9*t - 11. Let m(y) = b(y) + 5*j(y). What is the second derivative of m(n) wrt n?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25\/3*t - 65\/6*t**4 + 7\/6*t**5 + 145\/6*t**2 + 41\/2*t**3 + 0 = 0.\nAnswer: -1, 0, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 107350*g**3 - 2*g**2 + 2*g - 3. Let j be z(-5). Let x = j - -5298062. Let u = x - -4320751. What is u rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 7*r = -16. Suppose -19 = -y - 0*l + 3*l, -r*y + l = -32. Calculate the remainder when 2\/(-6)*(-114)\/2 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 263*d**2 + 78*d - 4. Let w(m) = -527*m**2 - 176*m + 9. Let g(c) = 9*f(c) + 4*w(c). Let h(u) = -u. What is h(g(x))?\nAnswer: -259*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5684843606513782 + 5684843665817199.25099877. Let k = -59303417 + p. Let j = k + -0.251. Round j to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24174?\nAnswer: 2, 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2224 = -8*d + 17328. List the prime factors of d.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -6608\/107 (c) 10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(w**(-2\/3)*w)\/w*w*w))**(2\/95)\/(w**7\/w**(2\/9)))\/((((w\/w**4*w)\/w)\/(w*w*w**(-3\/4)))\/(w*w**(-2\/5)*w)**(5\/11)) assuming w is positive.\nAnswer: w**(-68791\/37620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/27)\/y)\/((y**(2\/65)*y)\/y))\/(y*y**10*y*y)**(-25))**(-1\/57) assuming y is positive.\nAnswer: y**(-568631\/100035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*r**4 + 0*r**2 + 3*r**3 - 14*r**4 + 8*r**4 + r + r**2 in the form x*r**2 + i*r + n*r**3 + z + k*r**4 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/16*(-4)\/(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l + 2*l + 3*l + 3*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 177, -3, -7, 5.\nAnswer: -7, -3, 4, 5, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*v**5 - 620*v**4 + 3550*v**3 - 9045*v**2 + 9720*v - 3645.\nAnswer: 5*(v - 1)**2*(2*v - 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 83896523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21710813?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637*i - 8701 - 90 = 127 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6124537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*p = 209, -6*c - p + 433 = -2*c. Let n = c - 71. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-30) + 58\/(-70). Suppose -n - 5*a + 2 = 26, -5*n = -a - 10. What is the nearest to 1.6 in 2, n, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -47, -67, -87, -107?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3 (b) -3 (c) -2 (d) -1361 (e) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23926316.6 rounded to the nearest 10000?\nAnswer: -23930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*z)*(70 - 71 - 182).\nAnswer: 366*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 79, 83?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -96?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.9 + -4.5. Let k = f + 2.7. What is k rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = 2*b - v, -b = -3*v + 13. List the prime factors of 2 + b + -3 + 54.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*a = -14, -5*a = 2*m - 13 - 0. Let x be ((-8)\/162)\/(100\/(-30)). Which is bigger: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336 and 1232?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 18 = -5*j, -5*j + 16 = -0*j - 3*y. Suppose -j*w + 4 = -w. Solve 0 = 2*c + 3*q - 6, -w + 2 = -c - q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 94*q**3 - 6*q**3 + 131*q**3 + (2*q - q - 3*q)*(-q**2 + 5*q**2 - 3*q**2).\nAnswer: 217*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26579, 53195, 79803, 106403, 132995?\nAnswer: 159579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7.2163cm?\nAnswer: 72163000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.9274584ns to days.\nAnswer: 0.00000000000028851225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10*j - 10. Let o(k) = -2*k - 2. Let c(v) = 28*o(v) - 6*t(v). List the prime factors of c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -123.176 + 0.176. Let k = m - -113. Which is the closest to 1? (a) -5 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 12:33 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 21?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 8, 0, 1, 1\/5 in decreasing order.\nAnswer: 8, 1, 1\/5, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07691519 rounded to 5 dps?\nAnswer: -0.07692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 222 - -1083. What are the prime factors of k?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 30*j**2 - 65*j + 59. What is the lowest common multiple of c(32) and 222?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 30 = -3*t. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 162, 1, -5 in descending order.\nAnswer: 162, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.21 - -2.7575. Let k = -0.0325 - z. Which is the fourth biggest value? (a) -3 (b) 5 (c) k (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*w - 39*w + 47*w + (2 + 1 + 0)*(3*w - 6*w + 7*w) in the form k*w + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0, 34, -3, -59 in descending order.\nAnswer: 34, 13, 0, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23b7b87 (base 12) in base 2?\nAnswer: -11010100011010011010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 26593 = -26521 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*m + 6937*m + 782880 = 0 for m.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + 104. Suppose -i*u = -163*u - 6. Suppose j - 9 - 12 = 0. Solve -u*z = 6 - j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 15923387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88223 is divided by 51?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -84, -110, -126, -126, -104, -54, 30, 154?\n\"Answer: w**3 - w**2 - 30*w - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**5 - 3655*w**4 + 33078*w.\nAnswer: 40*w**3 - 43860*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oonoononnnnno. What is prob of picking 3 o?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63077814 - 63077809 + 126155623 + 7*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -21. Suppose -p*h + 18*h = 10. Let r be (24\/(-42))\/(h\/(-7)). Is r at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -10. Let q be (-7)\/(21\/18) + (-2304)\/(-360). Is q < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 - 19*i**2 + 14*i - 9. Is j(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 996*x**3 - 447*x**3 - 439*x**3.\nAnswer: 110*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/3)\/(40\/(-60)) + -3. Which is greater: h or -45?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.464 + 0.536. Which is the nearest to 2\/9? (a) 2\/23 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + 60. Suppose -h + 78 = -5*y, -k*h = y - 6*h + 21. Let p be -11 - y - 38\/9. Which is the closest to -1? (a) p (b) -5\/4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.3 (b) -3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -240.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*z + 2691 = 0, 2*z = 2*l - z - 1347. Suppose 0 = 4*x - 0*x - l. Let n = x + -103. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141000 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -561, -2245, -5051, -8979, -14029?\n\"Answer: -561*t**2 - t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-748)\/527)\/(-22).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/3, 28\/13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13314 - 13321.116. What is u rounded to one dp?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtkrrrrkkrwrrkw. Give prob of sequence krtw.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59*l**2 + 7*l - 3513 wrt l?\nAnswer: 118*l + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -85 - 1\/5*u**5 + 3*u - 2*u**2 + u**4 - 2\/3*u**3. Factor w(z).\nAnswer: -(z - 3)*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 5, 0.4 in increasing order.\nAnswer: -3\/8, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 - x**2 - 2*x**2 + (0 - 3 + 4)*(2*x**2 + 3*x**2 - 3*x**2) as n*x**2 + i + h*x and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 5*c + 105, 0*f - 2*f - 5*c + 95 = 0. Suppose -8 = -5*r + 22. Let p = f + r. What is the remainder when p is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 7*k + 1. Calculate the remainder when 2 is divided by z(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-9)*j*j**(4\/3))**44)**(5\/2) assuming j is positive.\nAnswer: j**(-2200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -225 + 233. Let h(w) = w**3 - 8*w**2 - 7*w + 58. Let y be h(t). Solve y = 5*u - 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1063874\/482185 + 267\/121. Let t = u - 171373\/71730. What is the common denominator of -33\/8 and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvrmyvrrxr. What is prob of sequence vryx?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 28*f**2 + 52*f + 15. Let y be t(-26). Suppose 4*z - z = 0. Put z, y, -4 in descending order.\nAnswer: y, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*c + 70*c - c**3 - 5*c**3 + 2 to z*c**3 + l*c**2 + j*c + t and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7032 (base 14) to base 16\nAnswer: 4b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7667*n + 636*n + 1492*n + 4599*n)*(-1 + 1 + n**2) to the form a*n**3 + q*n + z*n**2 + v and give a.\nAnswer: 14394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h + 690 = 9*h. Are -67 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15203459 divided by 12659?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -346, -344, -340, -334, -326?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -104*y + 213. Let r(k) = -41*k + 1. Determine 3*r(o) - z(o).\nAnswer: -19*o - 210","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24898, 99597, 224134, 398551, 622890?\n\"Answer: 7*t**3 + 24877*t**2 + 19*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*-2*(12 - 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2968)\/32 + 3965\/(-1220).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3 = -10*w + 53, 4*l + 22 = 2*w. Solve w*j - y = -17, 2*j + 0*y + 13 = y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.81 + -1.89. Let t = -8 - o. Put t, 0.2, -0.2 in descending order.\nAnswer: 0.2, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18, 3, 5, -564?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*c - 4*c = 0. Let y be c + (0 - 2 - -2). Which is bigger: -2\/13 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.8 + -34.8. Let g = y - -30.0084. What is g rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 60 = -2*n, -2*d - 26*n = -22*n - 36. Solve -5*c - 15 = m, m + 9 = d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 4) to base 7.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/11 - 124*n\/11 + 240\/11.\nAnswer: 2*(n - 60)*(n - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -52556965399 and 0.3.\nAnswer: -52556965398.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 985646 to the power of 1\/2, to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 8 + 24 = 0. Let u be 168\/m*2\/3. Let q = 36 - u. Calculate the remainder when q is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + ((-2*sqrt(224))\/(sqrt(128)*-2) - (0 + sqrt(28)\/sqrt(4) - (sqrt(7) + 0 + 3)))**2.\nAnswer: 3*sqrt(7) + 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 60.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.24 + -13.76. Let i = j - -10. Which is the nearest to 2\/5? (a) i (b) -2\/3 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -18, -1, -0.03, -0.3, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 143*p + 637. Give q(-5).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*g - 660 = -86*g. Differentiate 14 - 10*a**3 + 24 + 55*a - g*a with respect to a.\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 13*q. Let u(m) = -4*m**2 + 12*m**2 - 4*m**2 + m**2. Give p(u(y)).\nAnswer: 65*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/5)\/((-20)\/(-5)*-1*6)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*y**3 - 601*y**3 - 13*y**3.\nAnswer: -892*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l = -13*l - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l + 30. Suppose 0 = -5*z - 12 + 57. Let v be a(z). Suppose 4*n = v*n + 631. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - -1 - (1 - 4). Let u = 0 + 1. Let z be 3*(1 - (1 - u)). Solve -5*d + 10 = 2*l, d + z*l = -0*l + x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-3)*3 + 0. Let f(r) = -r**2 + 9*r + 6. List the prime factors of f(m).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -869?\nAnswer: -871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -85.9? (a) -4 (b) -0.5 (c) -3\/7 (d) 0.076 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/9*z**3 - 20\/9*z**4 + 4\/3*z**5 - 8\/9*z + 20\/9*z**2 + 0 = 0. What is z?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -446.6 + 446.59995489. What is f rounded to 6 dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/6 + (1 - -1) + 3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 741654474?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -133*x + 5. Calculate the lowest common multiple of 12 and r(-17).\nAnswer: 13596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3075310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -74\/9? (a) 0.12 (b) 0.3 (c) 2 (d) 5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - 21 - -23) + 38\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -30229.009 rounded to the nearest one thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -49. Let f = -0.5 - -4.5. Which is the biggest value? (a) 5 (b) u (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 21. Suppose -2464 = -2*k - 5*k. Suppose 3*f - 4*f - k = -3*p, -b*f - 346 = -3*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -36*g**2 + 432*g + 53. Give j(12).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -292, -1109, -3328, -7651, -14780, -25417, -40264?\n\"Answer: -117*j**3 + j**2 - j - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t*(t**35*t)\/t*t))*t*t*t**(1\/51))\/((t*t**(-10)*t)\/t)**(-19) assuming t is positive.\nAnswer: t**(-6680\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 314048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 32 + -2 + 12 + 9 - -8\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*t**2 + 34*t**2 + 14*t**2 + 21*t**2.\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23722774 + 441987698 = 27*p. Let b = p + -26538536. Round b to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6549 and 177000?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -162 + 2*l**2 + 0*l + 0*l**3 + 1\/24*l**4. Let r(v) = 4*v + 1. Let g = -3 + 5. Calculate g*r(s) - 9*h(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**15*(l\/(l**(-16)\/l))\/l)\/((l*l**(5\/2))\/((l**(4\/5)\/l)\/l)) assuming l is positive.\nAnswer: l**(273\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83257903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33945209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -6. Let g be (n - 3\/(-6))\/(2\/4). Let k = 2.9 - 3. What is the third biggest value in k, g, 5\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 623279024 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16138 or 322743\/20?\nAnswer: 16138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -4 (b) -10 (c) 5 (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -7036*q + 7032*q - 3*z, 0 = -13*q - 5*z + 63 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*l + 5504 = 103 - 5597 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k**3 + 512*k - 512*k - 3.\nAnswer: -16*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*h + 2*m = -2, 2*m - 6 = -2*h. Suppose 3*v - 16 = -3*q - 1, -h*q = -5*v - 38. What is the remainder when 16 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 8*n + 180. Let z = 14 + n. Sort z, -2, 4 in descending order.\nAnswer: 4, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 92 - 92. Let w be (-8)\/1 + 2 + -3 + 4. What is the third biggest value in n, w, 2, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*h + 14 - 14 + 33.\nAnswer: 30*h + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -10 - (5 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42167077 - 68*m**2 - 42167077.\nAnswer: -68*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 2574 = -10916. Suppose 1313 = 4*u - 3*b - a, 1491 = 3*u + 3*b. What are the prime factors of u?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 33 = 255. Suppose 4*z = -306 + 18. Let r = v - z. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10434866.\nAnswer: 2, 13, 401341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1195450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(4 + -2 + 0). Let h(f) = f**2 - 11*f + 3. Let w be h(11). Let k be -2*(w - (s + 5)). Solve -4*m + i - 16 = 0, -k*m + 0*i - 5*i = -8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3482876197 to the power of 1\/2, to the nearest integer?\nAnswer: 59016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-32)*(-22)\/(-7)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1393 divide 27667453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 20311720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171037289 is divided by 366.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**4\/4 - 3*s**3\/2 + 6*s**2 - 6*s. Let j be o(5). Let f = 151 - j. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 7\/13, 4\/33, -9, 5?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-37)\/111)\/((-17)\/663)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001002264 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)*-1)\/sqrt(3))**2 + -2 + 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88416395, 88416404, 88416413, 88416422, 88416431, 88416440?\nAnswer: 88416449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -94023080*d**2 + 53278489 wrt d.\nAnswer: -188046160*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 146 = 4*o, -s - s - 2*o + 62 = 0. Let i = 31 - s. Calculate the smallest common multiple of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1385\/229 or -7?\nAnswer: -1385\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7990 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -57, -128, -227, -354, -509, -692?\nAnswer: -903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(-5\/3)\/(h*h\/h**(-1\/3))**21 assuming h is positive.\nAnswer: h**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (6 - 3) - -13634269. Suppose 3*y + j = -6495729. What is y rounded to the nearest one hundred thousand?\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*g + 5, -5*y - 24 = -0*g - g. Let n = 7 - y. What is the highest common factor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31275 is divided by 491.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 168766 or 2193942\/13?\nAnswer: 168766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 92, 1.\nAnswer: 1, 4, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 112471652 to the power of 1\/2, to the nearest integer?\nAnswer: 10605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28878 - 20383. Suppose -3*c + 3*u = -5*c + w, -2*u = 4*c - 16970. What is c rounded to the nearest one hundred?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/5 - 1856*x**2\/5 + 430592*x\/5.\nAnswer: 2*x*(x - 464)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**2 + 2*q - 4. Let t(v) = -v - 1. Suppose 0 = -3*a + 3*p + 6, -p = -5*a + a + 8. Give a*n(x) + 2*t(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 131, 390, 855, 1586, 2643, 4086?\nAnswer: 5975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 15*w**2 - 1. Let g be t(-1). Suppose g = 2*z + 2*z - 2*n, 5*n - 5 = 0. Factor 2*c**5 + 4*c**3 + 2*c**3 - 3*c**2 - 6*c**z + c**2.\nAnswer: 2*c**2*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 15.6, 0.1, -30, -3\/2, 4, -308, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7+164724172\nAnswer: 164724165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 6. Suppose 4*j - 17 = -u*g, 8*g + 29 = 5*j + 4*g. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 500 and 2700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -718*w - 1057. What is the hundreds digit of a(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) -0.10665 (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1181 * -65\nAnswer: -76765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -592, -4590, -15426, -36514, -71268, -123102?\n\"Answer: -569*i**3 - 5*i**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d - 4. Let v(h) = -9*h + 12. Let t(w) = -2*v(w) - 7*y(w). Suppose s + 5*z + 1 = 0, -3*s - z + 14 = -3*z. Give t(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcc when three letters picked without replacement from {c: 5, r: 11}?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b + 9*b)*(-b + 4*b - b).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -1326 - 1426. Does 32 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51*l**2*n**2 + 1432*l**2*n + 5883*n**2 - 96*n wrt l.\nAnswer: -102*l*n**2 + 2864*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 140969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -1\/2*t**2 - 5*t + 47. Determine a(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4165 (base 12) to base 13\nAnswer: 3329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113659489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1.4. Let h = t - 4.6. Let v = -3.7 - -6.7. Sort h, 0.2, v in decreasing order.\nAnswer: v, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + -6 + (-2 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.4 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 9276\/15313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16756860 and 190.\nAnswer: 16756860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -b3b?\nAnswer: -b36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-1 - -1 - (-11 - -11)). Factor -50*b - 18*b**w + 51*b**2 + 3*b - 17*b**2 - 12*b**2 - 12.\nAnswer: (b - 12)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*v + 15*d - 11*d, 4 = d. What is the units digit of (3*(-1)\/v)\/(7\/(-6783))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -15, -2\/9, 1, 2\/21, 3\/4, 8\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 382 = 5*m, -4*m - 10*u - 298 = -7*u. Let h be m\/(-6) + 46\/138. Solve -8*p = -h*p - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10) - 153\/(-170).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m - 11*m + 74100 = -17*m. Is m a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 14706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (512\/(-12))\/(4012\/(-3009)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -11*u**2. Let w(i) = 1 - 3 - 16 - 7*i + 8. Give v(w(n)).\nAnswer: -539*n**2 - 1540*n - 1100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybcyyoycq. What is prob of picking 1 o and 2 c?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(-1)\/(-28)*(9\/(-5))\/(9270\/(-2060)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*c + 325*c + 315*c + 359*c - 1330*c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 2*d + 3*f - 58, -20 = -4*d + 4*f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 2*d = 9 - 6, 33 = -t - 576*d + 581*d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34923 and 6237.\nAnswer: 10372131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.519 - 5.73204. What is w rounded to three dps?\nAnswer: -0.213","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138 + 0.2\nAnswer: 138.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -40*a + 3. Let n(m) = -m - 1. Let r(u) = 95*u - 187. Let p be r(2). Determine p*n(b) + y(b).\nAnswer: -43*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*s**3 - 4 + 45 - 110*s**2 + 57*s**2 + 53*s**2 to the form p*s**2 + q + l*s**3 + t*s and give l.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 + 71. Put y, 8, -2 in descending order.\nAnswer: 8, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.724435 seconds to nanoseconds.\nAnswer: 5724435000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166930 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w + 27. What is the remainder when n(20) is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16638051 is divided by 1152?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 286870*a**4*j + 3*a**4 - 19*a**2*j - 3*a**2 - 2*a*j + 8*a - 17*j - 3 wrt a?\nAnswer: 6884880*a*j + 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*w**3 + 25*w**3 - 64*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/15516 and 42\/80597?\nAnswer: 2901492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/7818471 and -65\/243?\nAnswer: 70366239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -384 (base 9) in base 10?\nAnswer: -319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-12)\/5)\/(16\/(-24)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6.8+3269403\nAnswer: 3269409.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - p + 8*p)*(-p**4 - 4*p**4 + 4*p**4).\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 34. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 9*w - 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44276 - -387825. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637)*2 - sqrt(637))*-6 + (sqrt(637) - sqrt(637)*1*-4) + -2 + -5*sqrt(637)*2 + sqrt(637))**2.\nAnswer: 280*sqrt(13) + 63704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5\/4 - 18391*x**4\/8 - 22995*x**3\/4 - 5*x**2\/8 + 11497*x\/2 + 4599\/2 = 0. What is x?\nAnswer: -2, -1, -1\/2, 1, 9198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 5 = -0*f - f, 2*s = -3*f - 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -29.\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 + 52. Solve s*p + 2 = 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125930 = 545*l - 1492*l - 852*l for l.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/15*3)\/((-550)\/3300 + (-3)\/15)\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1043000*o**2 - 2*o + 1 - 1043000*o**2 + 2*o**3 + 8*o**4 to i*o**3 + g + y*o**4 + x*o + w*o**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1094808 is divided by 4165?\nAnswer: 3578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 235341 (base 10) to base 7\nAnswer: 2000061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*y - 98*y - 100*y + 298*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 665*f - 15193. What is s(23)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 178, -9, 4.\nAnswer: -9, -3, 1, 4, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whh when three letters picked without replacement from wywyyywkhwyhkykyyyy?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/13? (a) -13 (b) -0.4 (c) 3 (d) 2\/61 (e) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1 = 4*o, -5*g - 1 - 24 = 0. Suppose 9*w - o*w - 605 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t + 77*t + 979452 = 162*t. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.28 minus -212?\nAnswer: 218.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684883366.\nAnswer: 2, 167, 181, 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.929715753 + 64.6?\nAnswer: 69.529715753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xith when four letters picked without replacement from hmkmitxmimmikki?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 n when two letters picked without replacement from {x: 2, n: 7, m: 3, z: 8}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 18*o - 10. Does 5 divide k(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 17.673?\nAnswer: 12.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/(-21))\/(2\/30). Solve -2*b + 22 = -4*j, 5*j + 35 = 2*b + w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129 + 15*r + 255 - 126.\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -14\/3*b + 4*b**2 - 16\/3*b**4 + 2*b**5 + 4\/3 + 8\/3*b**3 = 0?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4\/5 + 32*z**3\/5 + 334*z**2\/5 + 1248*z\/5 + 1521\/5 = 0.\nAnswer: -13, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 61*b - 525. Calculate w(9).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4 = h. Suppose 0 = v + 4*o, -13*v + 4*o = -10*v. Suppose v = -5*t - h + 11. Solve 0 = t*p - 0 - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - 45 = 3*s, 5*b = -338*s + 336*s - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**2\/3 + 254807*o = 0.\nAnswer: -764421, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-185)\/(-22644)*51*(-3)\/(-25)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v + 26. Let l(q) = -2*q + 15. Let d(u) = 5*l(u) - 3*z(u). Give d(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4238 divide 610399140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 78. Let n(w) = -2*w**2 + 6*w + 8. Let x be n(4). What are the prime factors of l(x)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54038 - 54038.000053342. Round p to 7 decimal places.\nAnswer: -0.0000533","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 488*w. Let n(x) = 9 + 5 + 3 - 17 - x. Give i(n(y)).\nAnswer: -488*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + (sqrt(252) - sqrt(252)*-4) + -5.\nAnswer: -5 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three tenths of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-14 - -5 - -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.2, -6, 10, 999.\nAnswer: -6, -0.4, 0.2, 10, 999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2355 (base 6) to base 16\nAnswer: -23f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 278990404?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, w: 3, u: 5}. Give prob of picking 1 h and 1 u.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 744*f + 314047. What is j(-422)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/3)*k*k\/k**(-2\/11)*(((k\/k**(-7))\/k)\/k)\/((k\/(k**(-2\/27)\/k))\/k) assuming k is positive.\nAnswer: k**(1913\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 + -3002313?\nAnswer: -3003023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2648 or -2680?\nAnswer: -2648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 times 7901824?\nAnswer: -2528583.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1853706 - -0.5.\nAnswer: 1853706.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 195.1859 to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = 3*a + 40. Let h = a + 37. What is the units digit of (h\/9)\/((-4)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/3806 and 37\/4.\nAnswer: 7612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 4*j**2 + 10*j - 55. What is the remainder when (146 - (-1 - -4)) + 1 + 2 is divided by f(3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1720427 and 0.298.\nAnswer: -1720426.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + q - 15, 2*x - q = -x + 6. Suppose -68 = -u - 4*o, -3*o = 3*u + o - 164. Suppose -43*l + u*l = 20. Solve x*y = l*y + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j - 41*j + 4*j - 416 = 0 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/6 + 1356\/216 and 55\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + 1.4. Let s = 0.55 + -0.05. Which is the nearest to -1? (a) s (b) r (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 4:09 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 6*d + 624. Let y = -29 + 35. What is the remainder when (4\/y)\/((-4)\/d) is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 18 = -3*g, 2*r + 5 = 5*g - 3 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/4 - 128197*i\/2 - 3332953\/4.\nAnswer: -(i + 13)*(i + 256381)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*i + 1121 + 4729 = 0. Let b(h) = 4*h - 135. Calculate b(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-30))\/(2\/10). Suppose 7*b - 5*b = 4. Solve -2 = w + 3*s + 5, -z*w + b*s - 6 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 3)*(-7 + 5*s + 7) + (2 - s - 2)*(-3 + 2 + 2) in the form k*s + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2. Let h(q) be the second derivative of 4079*q**4\/12 - 2420*q. Determine z(h(j)).\nAnswer: 16638241*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10468351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 30.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466330 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1706200 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17, -89, -201, -347, -521, -717, -929, -1151?\n\"Answer: k**3 - 26*k**2 - k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 819 by -52.\nAnswer: -63\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 140470903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -3)*9\/6. Let y be 4\/n - 600\/18. Let l = -22 - y. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 3\/2 (c) -1.156 (d) -0.3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 951*n + 368*n + 296*n + 170*n + 1720*n as z + f*n and give f.\nAnswer: 3505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 65*o*r*t**3 + 3*o*r + 303*o*t**3 + 65*r*t**3 + 11*r - 23*t**3 - 4*t wrt o?\nAnswer: 65*r*t**3 + 3*r + 303*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -21*x. Let b(d) be the second derivative of 7*d + 0 + 0*d**2 - 1\/2*d**3. Calculate h(b(w)).\nAnswer: 63*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -5. Let y be (-7)\/21 + 1\/3. Suppose -m*f + f = y. Let g(j) = j**2 + j - 6. Calculate g(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2780266 rounded to three decimal places?\nAnswer: -1.278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424 + 521 + 11*h**2 - 10*h + 444 - 2*h**2.\nAnswer: 9*h**2 - 10*h + 1389","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 401*f - 41*f + 7200 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -146, -6, -22, 3\/7, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -191, -171, -133, -71, 21, 149?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 10:52 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14768350 is divided by 1607?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.81 and -2.9?\nAnswer: 2.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 0 - (-98 + 95).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2805*a + 48 = -2801*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 6:45 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8544434 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8372*k**2 + 11*k - 21. Is a(2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798*a - 49*a - 1303*a = -257*a + 96543 for a.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1432)\/(-14))\/(400\/7000). What is the greatest common divisor of w and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1126 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-277*x + 139*x - 1 + 132*x)*(-10*x**2 + 492*x + 5 - 492*x) to the form j*x**3 + y + a*x + b*x**2 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 12. Suppose -2*l = -0 - v. Sort -2, 0, l in increasing order.\nAnswer: -2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2504*p**2. Let c(g) = -3*g. Calculate l(c(f)).\nAnswer: -22536*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -5. Let u = -12 + 12.3. What is the biggest value in 5, u, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/10452 and 41\/573220?\nAnswer: 1497823860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4966 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37050*i**2*m**2*y**2 + 2*i**2*m**2*y - 27*i**2*m*y - m*y**2 + 8*m*y - 168*m wrt m.\nAnswer: 74100*i**2*y**2 + 4*i**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41, 67, 93, 119, 145, 171?\n\"Answer: 26*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/7))**(-16)\/(f**2\/f*f\/(f*f*f*f\/((f\/(f*f**(-2\/3)))\/f))))**(-1\/60) assuming f is positive.\nAnswer: f**(-29\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*h*i**5 + 35593*h*i**2*y - 1154750*h*y - 3*i*y - 11*i wrt i?\nAnswer: 1660*h*i**3 + 71186*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3) + (-2)\/6. Let m = 1 + p. Let g(c) = -9*c**2 + 10*c**2 + m*c**2. Let n(a) = -3*a**2. Calculate n(g(t)).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + z - 2 = 11, 3*o - 36 = -4*z. Suppose 0 = -4*c - o, -x - 3*c - 170 = -472. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l. Let u(z) = 7*z. Let o(g) = 3*g - 4*g + 4*g. Let y be (1\/((-2)\/10))\/(-1). Let t(p) = y*o(p) - 2*u(p). Determine a(t(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1)**37*(j*j*(j*j**(-5\/2)\/j)\/j*j*j)\/j**(3\/2))**(2\/101) assuming j is positive.\nAnswer: j**(72\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30420*s**2*t**3 - 10*s*t**3 + 3738*t**3 wrt s.\nAnswer: 60840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.17 - 0.17. Is v at least as big as -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -568, -723, -868, -997, -1104?\nAnswer: -1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.1 (c) -4 (d) 10 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 1200806.\nAnswer: 6004030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6098 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149355 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50523 and 798.\nAnswer: 13439118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 3 (c) -2\/21 (d) -3 (e) -2 (f) 106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7407*-0.09.\nAnswer: 666.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 7*x + 10. Let y be d(-9). Let n be 7\/y + (-14)\/(-8). Suppose 6*j = n*j + 424. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721\/44 less than or equal to 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 757 + -460. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.379686032 less than -0.15?\nAnswer: -1.529686032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5893 + -5891. Which is the third smallest value? (a) 5 (b) f (c) -1128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 + -46. Suppose -5*o + 4 + 6 = 0. Factor -3*x**3 - 5*x**3 + 4*x**3 + 1 - x**o + i*x**3 + x.\nAnswer: -(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/((-159)\/954).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0*-2.5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -203 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 12:45 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 4*p**2 + p**2 - 314 + p.\nAnswer: 5*p**2 + p - 290","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -4, -23, 2\/15, 1\/2516?\nAnswer: 1\/2516","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 8*x + 2. Let q be c(11). Let n(i) = -4*i - 69 + 37 + q. Let r(w) = -4*w + 4. Calculate 6*n(o) - 5*r(o).\nAnswer: -4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/125 (b) 0 (c) -1.562\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*k + 147 = -43*k. Suppose 3*y - 2*t - k = 0, 0*y - 5*t = -3*y + 12. Solve -16*z = -13*z - y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13158, -29395, -45632, -61869, -78106, -94343?\n\"Answer: -16237*n + 3079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (0 + (sqrt(320) + -1*sqrt(320))*-6 - 4*(-1 + sqrt(320))*-1)**2)*-1.\nAnswer: -5138 + 256*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*t + 325, 2*t + 3*t + 530 = 5*z. Let l = 159 - z. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, q: 2, b: 2, i: 6, t: 4}. Give prob of sequence ibtb.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011111 (base 2) in base 6?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.8 + 93. Let s = b + -88. Let y = s - -11.80000049. Round y to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4471471, -4471474, -4471475, -4471474, -4471471, -4471466, -4471459?\n\"Answer: w**2 - 6*w - 4471466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2536*t + 2546*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 12:44 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v - 103. Let x be r(15). Solve 12 - x = 5*m + q, -m + q + 2 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209973.\nAnswer: 3, 69991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16555944?\nAnswer: 2, 3, 689831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, f: 1, o: 1, h: 1, p: 5}. Give prob of picking 2 p.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 4, -278.\nAnswer: -278, -1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*b - 369 - 293 = 718. Solve b*w - 156 = 84 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.06?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39691 or -39694?\nAnswer: -39691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v - 15*v + 10*v - 29400 = 0. Calculate the least common multiple of 600 and v.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -68969, -68435, -67543, -66293, -64685, -62719?\n\"Answer: 179*a**2 - 3*a - 69145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 452 = 6*s - 10*s, 3*o + s = 427. Calculate the highest common divisor of 336 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4}. What is prob of picking 2 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 + 7*w**2 + 4*w - 1. Determine g(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38605\/(-123536))\/((-30)\/32)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -5, 73 in decreasing order.\nAnswer: 73, 26, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cujceuxuuxcujueuu. Give prob of picking 2 u.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 + 6*p - 6. Determine a(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -9, -1051, 0.\nAnswer: -1051, -30, -9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + b = -11, q + 3*b - 1 = 2*b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -10.000007. What is t rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40250 (base 6) to base 9.\nAnswer: 7223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1001, -13.\nAnswer: -13, 3, 1001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12074611 is divided by 6037295.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1518 - 88?\nAnswer: -15a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -25, -66, -145, -274?\nAnswer: -465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7148*s**2 - 8703 + 8703 + 1380*s**2 to f + n*s**2 + k*s and give n.\nAnswer: 8528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 72 = -n + 3*x, n + 5*x = 48. Suppose 2*m = k + 3*k + n, k = -5. Find the second derivative of 4*h**4 - 10*h**m - h - 8*h wrt h.\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/1109625 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l**4 - 14499*l**3 - 1429695*l**2 + 78480528*l - 698727276 = 0. What is l?\nAnswer: -262, 117\/10, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 36*m**2 + 3*m - 9. Suppose 25*r - 16*r = 36. What are the prime factors of y(r)?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 20120220012?\nAnswer: 20120212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 2415*t**2 - 2415*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -24*q**2 + 6*q + 3. Let k(h) = 8*h - 1. Let s(b) = 34*k(b) + 6*u(b). Is 12 a factor of s(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -19. Suppose -5*f = -h*f - 45. Suppose 4*i + f = 33. Let q(k) = -k - 4. What is q(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 7*z**2 + 5*z + (-4*z**2 + 2*z**2 + z**2)*(-2 + 2 - 1))*(3*z - 2*z + 0*z).\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53493855.99991 - -53493532. Let k = m + 324. What is k rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 22 + 230 = 0. Suppose q = 3*b + 37. Find the second derivative of -31*m - b*m - 34*m**2 - m wrt m.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**2 - 73*l - 304. Give m(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*g**4*x**2 - 10*g**4 + 2*g*x**2 - 2*g*x - 13*g wrt g?\nAnswer: 72*g**2*x**2 - 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13670635 is divided by 13670627.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-912)\/10)\/(254\/(-3175))?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 3*b - 1. Let f be i(-14). What is the highest common divisor of 17 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4041\/18*-58 - -1. List the prime factors of (u\/(-240))\/(1\/8).\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = r + 348. Suppose -5*l - 220 = -l. Let n = r + l. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwnwnwwawnawn. Give prob of sequence an.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4170781*g**3 - 72657813 with respect to g.\nAnswer: 12512343*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6218*f - 6295*f = -12569*f - 1232 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 times -13.23\nAnswer: -33.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 10:11 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o**3 + o. Let j be g(-1). Suppose -5*p - 72 = -23*p. Let s(a) = 1 + 2*a + 8 + 0*a - a + p*a. Let k(u) = -2*u - 4. Determine j*s(b) + 9*k(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 b, and 1 f when four letters picked without replacement from rbbrurbhfbbvrbrr?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23585 (base 10) to base 12.\nAnswer: -11795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5094*b**2 + 4438*b wrt b.\nAnswer: 10188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 + 10*v + 57)*((4 - 3 + 3)*(0 + v**3 + 0) - v**3 - 3*v**3 + 6*v**3 + 5*v**3 - 4*v**3 + v**3).\nAnswer: 80*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 12*z - 32. Let l be v(8). Solve -1\/2*j**3 + l*j**2 + 0*j + 1\/2*j**5 + 0*j**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5424.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/(-4) - -22) + -9. Solve -5*o + h = 4*d, -4*o + 8 = d - o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 5*q = 5*w + 1, -106*w - 4*q = 40*w + 434 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -117594038*b**4 - 15136053 with respect to b.\nAnswer: -470376152*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89411 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o = 3*m + 2, -2*m = 0. Suppose 5*c - 9 = t - 7, -2*t + 7 = c. What is the greatest common divisor of o and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j = -6 - 22. Let y be 3 + (88 - -8)\/(-6). Put j, y, -3, 5 in ascending order.\nAnswer: y, -3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 5*a = -3*r - 65, 2*r - a - 41 = 0. What is the smallest common multiple of 16 and r?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 10:14 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*n + 12. Suppose -3*o = 2*f - 16, 0*f = -f - n*o + 11. What is the third derivative of a**2 - a**f + a**2 + a**5 + 3*a**5 wrt a?\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-50)\/10*((-8)\/(-50))\/(-1). What is the fourth smallest value in 2, n, 1\/10, -4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 81*o - 2416. Calculate z(-96).\nAnswer: -976","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 30482659?\nAnswer: 91447977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10357 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10445612*x + x**2 - 7*x**2 + 52*x**2 + 11*x**2 + 10445614*x.\nAnswer: 57*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -283 (b) 1 (c) 0.3 (d) -32\/7 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 577903.\nAnswer: 1\/577903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q = 1830*q + 2784*q + 2497*q + 513936 for q.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -s + 56336*h - 56333*h, -18 = -5*s - h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**5\/12 - u**4\/12 - u**3 - u**2. Let q(x) = 4*x**2 + 2*x + 5. Suppose 138*s - 54*s - 582 = -110*s. What is s*v(b) + 4*q(b)?\nAnswer: b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/210*(-2)\/(-3)*39\/26.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 1765*z + 1764*z - 18 = 0, -8*f + 5*z = -16*f + 10*f - 90 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/8327566 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*f + 3*f**3 - 3*f**3 + f**3.\nAnswer: f**3 + 63*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 78546784 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 15*r**2 - 17*r + 5. Suppose -5*k + 21 + 9 = 0. List the prime factors of d(k).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 120*g - 83*g - 88837. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/7))\/z*z*z**(-41))\/(z**(-18\/11))**(9\/7) assuming z is positive.\nAnswer: z**(-420\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5713443t in grams?\nAnswer: 571344.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (7 - 5 - -2)) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1020 - 0?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from hgjycja?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(7*j + 15*j - 5*j).\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 657 a factor of 66801789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.44, 5, 0.3, 3, -3, -0.17 in decreasing order.\nAnswer: 5, 3, 0.44, 0.3, -0.17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*b - 37284, 50*b = -d + 55*b + 18627. What are the prime factors of d?\nAnswer: 2, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650.3595kg to milligrams.\nAnswer: 650359500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -62. Let p = -33652 - -33673.003. Let d = p - x. What is d rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, e: 3}. What is prob of sequence kkke?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 20*g**2 + 2*g - 19. Let y be u(20). Let c be 9\/y - 22\/(-14). Suppose p = 3*p - 2*x - 66, 71 = c*p - 3*x. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c - 9. Let u(y) = -1. Let v(k) = 5*d(k) - 45*u(k). Let j(w) = 2*w. Calculate v(j(q)).\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 15, 14*t = 2*y + 10*t - 53 + 95 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 37. Calculate the least common multiple of l and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -2)*3 + 0 - (sqrt(35)\/(sqrt(7)*-3) + -5)*4.\nAnswer: 14 + 67*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 28*i + 138. Determine v(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4620 divided by 770.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 236529, 472754, 708979, 945204?\n\"Answer: 236225*r + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1377\/7 - -197. Let d(u) = 4*u - 7 + 3*u - 6*u. Let i be d(6). Which is the third biggest value? (a) z (b) i (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49007 - -0.11922\nAnswer: 49007.11922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from mmmmmppmpm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*t. Let y = 0.1 - 0.1. Let q = -7223 - -7220. What is the nearest to t in q, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 4 - 0) + (8 - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1660 - 0?\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-2)\/(-4) - 3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 140 + 162?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5676)\/144*((-2)\/(-4) - (-15 - -14)). Put -0.3, -1\/6, s in descending order.\nAnswer: -1\/6, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**2\/4 - 93*s - 183 = 0.\nAnswer: -122, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16705 - -18219. What are the prime factors of c?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*c**2 - 1246 + c + 1246 in the form p*c**2 + o + t*c and give p.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*s + 44*s - 47 - 37. Sort -3, 1, 18, s in decreasing order.\nAnswer: 18, s, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3844010407 to the power of 1\/5, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1 (c) -3 (d) 0.8 (e) -501 (f) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**20*l))\/((l*l**(11\/3)\/l)\/l) assuming l is positive.\nAnswer: l**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*k**2 - 39*k**2 - 14*k**2 + 2*k**2 in the form y + z*k**2 + h*k and give z.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + -1 + 1*sqrt(147)) + 3)**2*4.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c + 320. Let a(h) = h**2 + 153*h. What is a(y(l))?\nAnswer: 4*l**2 - 1586*l + 151360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -2*2\/(-1). Suppose 165 - 12 = s*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -298 or -3876\/13?\nAnswer: -3876\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1847 and 1694.\nAnswer: 3128818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1543080 divided by 2505\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80555218*y**2 + 177086*y + 68 wrt y?\nAnswer: 161110436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 1062?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*z - 3*z - 1700, -4*o + 2280 = 2*z. Suppose -11*g = -3*g - o. Let p = -42 + g. What are the prime factors of p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 0.03, -32\/7, -32?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-73)\/(-4))\/1 - (-105)\/60?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 4. Let c = u + -3. Suppose c + 12 = 3*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*m = n - 8, 4*n = -m + 6. Suppose -2 - 3 = -n*v + 3*x, -2*x + 6 = v. Suppose 5*w - 29 + v = 0, 0 = 2*s + 2*w - 132. List the prime factors of s.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 0*g + 59*g**2 + 0*g - 61*g**2. Let c(v) = -4*v. Determine k(c(b)).\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4993\/328 - -121\/8. Let w = -9421900 + 26268257513\/2788. Let f = w + v. Is f less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 5*x - 6. Let r be c(4). Let f be (-1)\/r + 15\/(-6). Let i(h) = h**3 - 7*h**2 - 3. Let n be i(7). Which is bigger: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31665938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, t: 1, j: 6}. Give prob of picking 1 t and 1 j.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**4\/3 - m**2 + 250*m - 2. Let w(k) = -2*k - 22. Give x(w(i)).\nAnswer: -16*i - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 46*r**2 - 57*r + 475. Determine d(47).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaxq when four letters picked without replacement from {q: 1, o: 1, x: 2, a: 9}?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5871.\nAnswer: 3, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 4) in base 12?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25871 - 25925. Let u(o) = 2*o**3 - o**2 - 2*o + 1. Let g be u(-3). Which is smaller: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*t + 2*t**3 - 17\/2*t**2 - 3\/2.\nAnswer: (t - 3)*(t - 1)*(4*t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6787394 centuries in millennia?\nAnswer: 0.06787394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -6 - 0)*2. Let h be 1\/(1\/32) - -2. Suppose -k*j + h = -14. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1021.615 and 1.\nAnswer: -1020.615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 7:11 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3273 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*u**4 - 25*u**3 + 21*u**2 - 3*u - 2.\nAnswer: (u - 1)**3*(9*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7414630*v - 9570633*v + 1020126*v.\nAnswer: -15965137*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b + 10. Let o(c) = -2*c + 7 - 2*c + 8*c - 6*c. What is -7*o(y) + 5*t(y)?\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5153105753.\nAnswer: 3049, 1690097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/17*(-4)\/2. Let i(w) be the first derivative of -w**3\/3 + 2*w**2 - 4*w - 3. Let s be i(3). Is p less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**2 + 68*h = 0?\nAnswer: -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14084829 and 198.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 477022 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuvbpuunvun. Give prob of picking 2 v and 1 u.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 11, r: 1}. What is prob of sequence ri?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05 - 2.05. Let l = 13 + -6. Let p = 5 - l. Is p at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -12*k - 26. List the prime factors of l(-9).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.981 - 14. What is t rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -1\/2, 3, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -f + 11, s + 8*s = 4*f + 3*s - 38 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + j + 5 + 0*j + j. Let x be k(7). Suppose 3*m + 2*a = 9, 0 = 7*m - 3*m + 3*a - x. Solve -9 + 3 = -m*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -3. Which is greater: 3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*d + 240*d + 20 = 0. Calculate the remainder when 252 is divided by d\/((-45)\/138)*(-15)\/(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*k + 106 = -42, 2*q - 49 = 5*k. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 u, and 2 p when four letters picked without replacement from acaapuape.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 508, 506, 492, 460, 404, 318, 196?\n\"Answer: -u**3 + 5*u + 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 6*j - 21. Give x(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 99*o + 1289. Let l be f(-13). Let a(i) = -5*i**2 - 2*i - 4. Let n(r) = 36*r**2 + 15*r + 27. What is l*n(x) + 15*a(x)?\nAnswer: -3*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, -15, -35, -63, -99, -143?\n\"Answer: -4*t**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98082847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46869.\nAnswer: 3, 17, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 + 2 + (-221)\/(-96) and (-5200)\/(-984) - 10\/(-205).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6129353*l**3 - 1287347?\nAnswer: 18388059*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 382784?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.7*-0.069.\nAnswer: 0.2553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 28*j**4 - 10688*j**3 + 1222252*j**2 - 43731768*j - 12594816 = 0.\nAnswer: -2\/7, 87, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*k**3 - 4*d*k**2 - 7*d - k**2 + 13*k + 464 wrt k.\nAnswer: -3*d*k**2 - 8*d*k - 2*k + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*u - 456 = 18*u. Let n(y) = -y**3 + y**2 - y. Let b(z) = -3*z**3 + 22*z**2 - 14*z + 18. Let w(a) = b(a) - 2*n(a). What are the prime factors of w(u)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-9 + -19)) + -16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -14203*i - 1. Let u(h) = -14204*h - 1. Let c(r) = -2*u(r) + 3*v(r). Let n be c(-1). What is n rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 11*g**2 + 13*g + 34. Let s = 16 - 26. Let r be j(s). Suppose -m + 3*i + 11 = 4*i, 3*i = r*m - 9. Solve 2*b + 0 + m = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + r - 2471 = -2444, 3*r - 4*r = 1 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**5\/20 - r**4\/24 + 23*r**3\/3 - 16*r**2. What is the units digit of o(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -20*((-6)\/33 - (-27)\/(-33)). Suppose 0 = -i*k + 16*k + 592. What are the prime factors of k?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1120284 and 902?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*d + 6. Let v(a) = -4*a - d*a**2 - a**3 + 0*a - 3 + 1. Let r(y) = y**3 - y - 3. Let x be r(0). Calculate v(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/9 - 1196*m**2\/9 - 4808*m\/9 - 4816\/9.\nAnswer: 2*(m - 602)*(m + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19\/12 - 7\/4. What is the common denominator of u and -111\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/595 + (-214)\/(-70). Suppose 2*v + 0*v - 4 = 0. Solve v*l - g*l = 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-15)\/50) - (-8)\/(-4). Let v(h) be the first derivative of 0*h + 0*h**2 - 16 + 3*h**4 + o*h**3. What is the third derivative of v(l) wrt l?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11*s**3 - 11*s**2 - 4*s - 7. Let t(f) = -6*f**3 - 5*f**2 - 2*f - 3. Calculate 3*b(v) - 7*t(v).\nAnswer: 9*v**3 + 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 355\/142*749\/35*-3*18\/(-27)\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (166880\/(-2086))\/(1*-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 1 = -3*v, -5*d - 2*v - v - 19 = 0. Let r = 3 + d. Solve 3*s**2 + 4*s - s**2 + 3 - r = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-1))\/((-3)\/93))\/(1764\/441).\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/12 and -67\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81 - 89 - 29) + 89.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17)\/((7 + 0)\/(-3899)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 167*i + 12. What is the tens digit of j(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 124 (c) 1\/8 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.1 - -0.9. Let l = x - 10. What is the smallest value in -3, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1675*o - 1815*o - 1697*o + 5187*o + 25*o**2.\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 10*k + 26. Let s be i(-4). Suppose 5*m + 7 = 2*x, 0*m - 6 = s*m. Sort x, 1, 21, -5 in ascending order.\nAnswer: -5, x, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/(-9)*(-1)\/(-4)*2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -10 + 1 - 10*k + 21 - 1. Let h be d(-15). Suppose -3*p + h = -373. What are the prime factors of p?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21444 times -1611\nAnswer: 34546284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/443 (b) -10 (c) 0.2 (d) -1\/2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40835190?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -2*o**6\/15 + 21*o**5\/5 + 23*o**4 + 142*o**3\/3 + 48*o**2 + 1264*o. Factor p(m).\nAnswer: -4*(m - 24)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + -3 - (sqrt(252) - (sqrt(252) + -1))) + (5*sqrt(84))\/(sqrt(3) + -1*sqrt(12)).\nAnswer: -4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4068 and 1278.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17221 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 4:47 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -2, 3\/28, -0.03?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3249, 6494, 9749, 13020, 16313, 19634, 22989, 26384?\nAnswer: 29825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 195029 (base 10) in base 9?\nAnswer: 326468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert f208e (base 16) to base 9.\nAnswer: 1770816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qllt when four letters picked without replacement from lbtqlqffftfflltftff?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -343782?\nAnswer: -343780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6232163047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6901\/48 - 2225\/16. Calculate the common denominator of y and 113\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {r: 3, i: 2, j: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-10))\/(6\/(-4)). Is 1 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*n - 2*n + 216 = 0, -4*w = 3*n - 212. Suppose 3*d + 5*f - 151 = -0*d, -d + w = 2*f. Calculate the highest common factor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -351, 3\/5, -2, 0.21 in descending order.\nAnswer: 3\/5, 0.21, -2, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(-1 + 3 + 0)*(-218 + 25*i**2 + 218) - 5*i**2 + 3*i**2 + 3*i**2.\nAnswer: 51*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821853 is divided by 41091?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 1\/2397283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4\/(-6)*(-6 + 3) and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**5 - 84*p**4 - 13312*p**3 + 33328*p**2 + 13507200*p + 180320000 = 0.\nAnswer: -28, -23, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93237 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**3*m)*m*m**(1\/37)*m assuming m is positive.\nAnswer: m**(-36\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 421106, 842069, 1263020, 1683953, 2104862, 2525741?\n\"Answer: -k**3 + 420970*k + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3757.341 to the nearest 10.\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 309\/6 - 0 - 3\/(-6) and 24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -9*u**2\/2 + 1. Let c(h) = -307 + 2*h - 307 + 614. Determine x(c(z)).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 3*r + 12, -b - 4*r + 7 = -0*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 11:05 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118409, -473416, -1065035, -1893272, -2958133, -4259624, -5797751?\nAnswer: -7572520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3312232 - -1312?\nAnswer: 3320210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w - 8. Let u(k) = 39*k + 5. Let a(g) = 25*g + 2. Let l(b) = 3*a(b) - 2*u(b). Determine -4*f(t) + 7*l(t).\nAnswer: 3*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -36. Suppose -5*p + 894 = 4*v, 476 = 3*p + 4*v - 54. What is the lowest common multiple of k and p?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 6:19 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 53*m**2 - 7 - 5 to the form u + y*m + w*m**2 and give w.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9110.13 micrometers to kilometers.\nAnswer: 0.00000911013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/8)\/((-15)\/(-20)))\/(273\/(-260))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52643083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -402411141 (base 5) to base 15.\nAnswer: -21b266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 5\/(-10) + 27\/12*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/12673949 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67662 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174, -171, -168, -165, -162?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9860826, 19721668, 29582510?\nAnswer: 39443352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2634*n - 116*n + 1044*n)*(0*n**3 + 0*n**3 - 2*n**3) as g + z*n + k*n**2 + d*n**4 + u*n**3 and give d.\nAnswer: 3412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/28 - 38\/(-14). Let a be ((-2)\/4)\/(s\/72600000). Round a to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/9 + 1078\/(-63). Do s and -35\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rii when three letters picked without replacement from nnrinnwinnni.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62279738591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4674)\/(-150))\/((-9)\/(225\/(-10))). Is 77 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkj when four letters picked without replacement from kjkkjkkk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2485, 2084, 1417, 484, -715, -2180?\nAnswer: -3911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 17*r**2 + 34*r - 25. What is the hundreds digit of i(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3793338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from {u: 5, q: 4, d: 3}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6\/89 - -493\/712. Let y = m - 9\/8. What is the closest to -0.2 in -5, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3\/15 + 68402*g**2\/15 + 3824126*g\/15 - 259502 = 0. What is g?\nAnswer: -34145, -57, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 9*g + 20. Let r(y) = 6*y + 70. Let q be r(-13). Let u = q - g. What is u rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31546.86 years to centuries.\nAnswer: 315.4686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and 13445376.\nAnswer: 13445376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 3. Let i be b(-7). Suppose i*v + r - 733 = 0, -2*r + 3 = 9. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(((j\/j**(-2\/5))\/j*j)\/j))**(16\/3)*((j\/((j\/(j*j\/j**1))\/j))\/j)\/j**0)\/((j**(1\/3)\/j*j**0)\/(j**(-2\/3)\/(j\/j**(-1\/3)))) assuming j is positive.\nAnswer: j**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.9*-1\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 985\/(-4)*(10 - 14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**3\/3 - 3*z**2 - 11*z + 397. Give v(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 259015461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 230454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -15*t - 1. Let n(r) = -30*r - 3. Determine -2*n(v) + 5*s(v).\nAnswer: -15*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 192?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 1. Let l = 145.655 - 140.655. Let t be 1\/2*(-2 + 5). Put n, t, l, -4 in descending order.\nAnswer: l, t, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = r - 2*r + s, -2*r - s = -11. Find the third derivative of 3*o**r + 12*o**6 - 20*o**2 - 2*o**6 + 0*o**2 wrt o.\nAnswer: 1560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 303.9357708?\nAnswer: -306.9357708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfb when three letters picked without replacement from {b: 7, r: 3, h: 2, f: 3}?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(704)*1) + -3)**2 + -1*((sqrt(2) - (sqrt(2) - (sqrt(2) + 1))**2) + 0 - sqrt(2))*4.\nAnswer: -3*sqrt(2)\/4 + 417\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 318 and 45686.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5398 is divided by 284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 6*l + 5. Let s be b(-6). Let g(t) = 0*t - t**2 + 5 - 4*t + 2*t**2. Let m be g(s). What is the greatest common divisor of 70 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4152 * -0.09\nAnswer: -373.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -15 (c) 2\/3 (d) -3\/17 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.2, -2\/11, 1, -95.\nAnswer: -95, -0.3, -0.2, -2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1826 - 1825.4685. What is i rounded to two decimal places?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75785250 to the nearest one million.\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewj when three letters picked without replacement from {e: 2, p: 7, j: 4, w: 1, k: 4}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100808880 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-516)\/(-66))\/(-43)*77\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2166 and 152515641.\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.407323 - 6.365. What is p rounded to 4 decimal places?\nAnswer: 0.0423","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*p**3 - 21756*p**2 - 109645*p wrt p.\nAnswer: -24*p - 43512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/197884002 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (2 - -4 - (11 - -5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44*a**4 + 18*a**3*w**2 + 56*w**2 - 25 wrt a?\nAnswer: -176*a**3 + 54*a**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6760137521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*d - k + 36, -3*d + 5*k = -38. Solve d = 2*v - 0*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5*m**(-2)\/m)\/(m**0)**(-44))**(-47) assuming m is positive.\nAnswer: m**(-94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -74?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 4*x + 2*k = -14632, -4*k + 10996 = 3*x. List the prime factors of x.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -15*c - 18. Let r be ((-7)\/28)\/(c\/16). Suppose 5*a = -2*w + 8 + 3, 17 = 2*w - a. Calculate the highest common divisor of w and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6602227 is divided by 78?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -240240?\nAnswer: -240233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1473 by -3.\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*37\nAnswer: -1.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c + 24. Let g(p) = 9*p + 23. Let r(y) = -5*g(y) + 4*v(y). Differentiate r(d) with respect to d.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*j, v + 0 = -5*j + 25. Suppose 0 = v*w + 20 - 30. Calculate the smallest common multiple of (-1 - (-2)\/(-2))*-4 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2544*b**3*t**2*w - b**3*t*w**3 + 2*b**2*t**2*w**3 + 5970*b**2*t**2*w + b**2*t*w wrt b.\nAnswer: -15264*t**2*w - 6*t*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**2\/2 + 4*c - 14. Let d(a) = -a + 5. Let q(t) = 5*d(t) - 6*z(t). Let o be q(6). Solve -6 + o = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48.3 + 39. Let y = -0.3 - r. Let i = y - 8.8. Which is the biggest value? (a) 2 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*i**3 - 2236*i + 2236*i + 11*i**3 + 3.\nAnswer: -52*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.08 (b) -0.4 (c) 1 (d) 0.32 (e) 4 (f) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171827 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7642 a factor of 1589704124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*w + 15*w + 147 - 439 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**6\/480 - k**5\/15 + 11*k**4\/96 + k**3\/3 - 25. Let u(d) be the third derivative of r(d). Find f, given that u(f) = 0.\nAnswer: -11, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 r, and 1 y when three letters picked without replacement from {y: 2, n: 6, r: 4}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -4 (c) 5 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**5\/20 + 5*z**4\/12 - z**3\/6 - z**2 + z. Suppose 25 - 70 = -4*q - 5*n, -5*q - 4*n = -45. Calculate k(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -9208?\nAnswer: 9204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -14 (c) 5 (d) -2 (e) 0.5 (f) -423 (g) -1\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -19*d**2 + 229*d + 22. What is the remainder when 135 is divided by h(12)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3) - 13\/(-39)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*d**2 + 2*d - 2*d)*(0 + 3 - 1) + 6 - 2*d**2 - 6)*(2 + 25 - 8) to v + f*d + x*d**2 and give x.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/7, 47, 18?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)*o)**(-1\/77)*o**(-13)\/o**(-8) assuming o is positive.\nAnswer: o**(-382\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -870 + 671. Let s = -198.1 - j. What is the second smallest value in -2, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -2\/11, -90, -2, -520 in descending order.\nAnswer: 4, 2, -2\/11, -2, -90, -520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**4\/24 - 11*r**3\/6 + 7*r**2. Let d be k(13). Differentiate 10*s + 0*s + d + 0 - 5 wrt s.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/(4*(-2)\/(-896)). What is the greatest common factor of u and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -7*p + 10*p - 5*y, 4*p + 409 = -34*p + 2*y + y for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8*14\/(42\/6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*1*(-14)\/(-42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + 1*1*sqrt(76) + sqrt(76) - sqrt(76) - sqrt(76)) + sqrt(76))\/sqrt(4)*-1)**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 15 = -2*c. Suppose 4*a + 2*s + 1 = -s, 22 = c*a - 4*s. Solve t - 4*t**a + 5*t**2 - 2 + 0 = 0 for t.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 872, 879, 896, 929, 984, 1067, 1184?\n\"Answer: q**3 - q**2 + 3*q + 869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 42 = -22. Let p be 2 - -61 - (8 + x). Let y = -16 + 28. What is the highest common divisor of p and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2 + 3*b**2 + 4*b**3 + b + 0 + b. Let u(t) = -5*t**3 + t**2 + t + 7. Let f(s) = -s**3 + 1. Let v(g) = 6*f(g) - u(g). Calculate k(m) + 2*v(m).\nAnswer: 2*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.4, -3, 5 in descending order.\nAnswer: 5, 1, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21456901 at most 21456911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -80, -67, -48, -23?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + a = -0*a + 151, -5*a = 2*l + 112. Let t = l + 55. What is the third derivative of 46*n - 22*n**2 - 46*n + 25*n**t wrt n?\nAnswer: 600*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 221 - 217. Solve -v - y = 5*q, -8 = 2*v - 5*q + q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18*13\/(-52))\/1?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 43 = 2*a, -4*w = 5*a + 63. Let i = -1908 + 7587\/4. Which is greater: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (0 + 146\/(-148)). Let o(h) = 3*h - 73. Let l(x) = x**3 + 6*x**2 - 3. Let b be l(-3). Let n be o(b). Which is bigger: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47357 is divided by 95?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7 and 417533666565.\nAnswer: 417533666572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -39*o**2\/2 - 5*o - 13. What is the tens digit of g(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11 + (9 + -11)\/((-4)\/(-6)). What are the prime factors of 435 + ((-2)\/(-8) - (-6)\/n)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -521, -1741, -4097, -7961, -13705?\nAnswer: -21701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 + 76. Let a(g) be the second derivative of 0 - 1\/3*g**3 - g**2 - 2*g + 1\/3*g**o. Let a(u) = 0. What is u?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*x - 2, -12 = y + y - 4*x. Calculate the lowest common multiple of y and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -12, 2\/3, -4\/573?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 860078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 470506.046 to the nearest one hundred.\nAnswer: 470500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 4*k - 28. Let o be 1*2\/(-3)*-6. Suppose 0 = k*d - 3*c - 70, -56 + 0 = -4*d - o*c. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (25\/(-75))\/(274\/51). Let s = a + 4666\/1233. What is the common denominator of s and 59\/78?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4035950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*p**4 + 16*p**3 + 5*p + 147 + 0*p**4 + 4*p**4 - 3*p wrt p?\nAnswer: -12*p**2 + 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 - (-50 + 63 + -52)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s - 21 = 0. Suppose -4*p = -7*p - s. Let y(a) = a**2 + 7*a. Let g be y(p). Solve 4 = 4*u - g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -40*f. Let z(k) = -k**3 - 3*k**2 + 4*k - 1. Let q be z(-4). Let b be n(q). What is the units digit of 4\/b*6*10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2133925640?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1762*f + 1749*f + 1765*f - 5282*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, 3, 13, 23, 33?\n\"Answer: 10*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 2 = 5*w. Let u = w - 3. What is the units digit of u\/(-4) + (-58)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.286 - 0.117. What is i rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 4 + 2 + -1. Let t be 12\/(4 + -1) - i. Suppose 3*y - 135 = -t*y. Calculate the remainder when y is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/37)\/(x*x\/x**(-3\/5))*x*x**(9\/10)\/x*x*x**(-24))**(2\/41) assuming x is positive.\nAnswer: x**(-9109\/7585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -2. Let b be (v\/(-10))\/((-2)\/10). Suppose 6 = 6*z - b*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 886980*z**3 - 1774075*z**3 + 887093*z**3 + 227.\nAnswer: -2*z**3 + 227","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 - 67 - (5 - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 51426894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -67 + 104 - 59 - -31\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -309 + 342. Suppose -2*t = 5*g - s + 19, 4*g - 2*t - 22 = 0. Solve -m + 8 = f, 26 + g = 5*f + 3*m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 127 + -117. Calculate the remainder when 29 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.8 + 9.8. Let q = p - 7. Is 2\/5 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwwwzwzwzzzwwwwwwwz. Give prob of picking 4 w.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5933913 and -0.5.\nAnswer: 2966956.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -18*z - 24. Let s be r(-12). Suppose -5*n + s = 3*n. Find the first derivative of 18*m**2 - n*m + 11*m - 9 + 13*m wrt m.\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 375 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3146127*s**4 + 62419251*s?\nAnswer: 37753524*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/((-4)\/(-42)). Let y be 6 + x + (-3)\/(-1). Suppose 0 = 59*h - 68*h + 1584. What is the greatest common factor of y and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -174579, -349161, -523743, -698325, -872907?\n\"Answer: -174582*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, j: 1, t: 1, d: 2, b: 1, a: 1}. Give prob of picking 1 s, 1 j, and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2 = -5*q, 3*u + 2*q - 6 = 11. Suppose -5*s + 5*v = -25, 3*v = 2*s + 7*v - 10. Let w = u - s. Calculate the highest common factor of w and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**7\/210 + 13*o**5\/60 - 9*o**2. What is the third derivative of m(q) wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3582937 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.0820475s to minutes.\nAnswer: 0.018034125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -7*c**4\/12 - 8*c**2. Let u(h) = -6*h**2. Give t(u(i)).\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -5*r - 31. Let n be 222\/r - (-2)\/(-9). Solve 5*h - 7 = n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(p - 2*p**2 - p) + 455*p**2 + 13*p + 18*p - 457*p**2.\nAnswer: 2*p**2 + 31*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 10, 19 = -r + 2*r - 3*h. Suppose 49 = 16*x + 1. Suppose x*i = -2*y + 4358, -5*y - r*i = -8958 - 1937. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -364\/3 - -124. Let y be -1061*1\/9 - -2. Let l = 113 + y. Calculate the common denominator of q and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/27*(-6)\/4. Let o(b) = 7*b**2 - 3*b**2 + 4*b + 4*b**2 + s + 5. Let v(h) = -7*h**2 - 3*h - 5. What is -6*o(p) - 7*v(p)?\nAnswer: p**2 - 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 498 + -338. Suppose -32*z = -36*z + x. Is 20 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -13, -21, -29, -37?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3725, 3493, 3261, 3029, 2797?\n\"Answer: -232*y + 3957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -168\/659 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 89\/2 of a litre?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3999, 4005, 4011?\n\"Answer: 6*i + 3993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3754.6 centuries?\nAnswer: 37546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3678938.\nAnswer: 2, 1839469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/(-55)*((-264)\/(-2) - 2). Suppose 4*a = -4*w + 1852, a = 3*w - 916 - 493. Calculate the greatest common divisor of w and y.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-9)\/(-54)*(-1)\/(-1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 7*p + 8. Let f be j(-6). Let l(g) be the first derivative of -4*g + 0*g - 7 - f*g - 2*g**5. What is the first derivative of l(u) wrt u?\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 102\/(-6) + -32 + 51 + -28.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/2*(-8)\/10. Let q be l*(-5)\/(-4) + -2. Suppose 10\/7*b**2 + 18\/7*b**q + 4\/7*b**5 + 2*b**4 + 2\/7*b + 0 = 0. What is b?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 8 + 4 - 12.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -937 and 9.6.\nAnswer: -927.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eneenpvieivrnr. What is prob of sequence nri?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -355950 to the nearest 1000.\nAnswer: -356000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -15*(2\/21 - (-564)\/(-630)). Solve s*i - 15*i + 12 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.8 - -3.8. Let z = 6.7 + w. Which is the fourth biggest value? (a) z (b) -1\/7 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from mkacb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2\/3 (c) -0.2127 (d) 1 (e) 2\/9 (f) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 29, 0, 26, -1, -12 in ascending order.\nAnswer: -12, -1, 0, 5, 26, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 497 divide 613918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-120)\/45)\/((-2)\/(-3)). Let h(x) = 4*x**2 - 2*x + 2. Let b(i) = -2*i**2 + i - 1. Calculate t*h(q) - 7*b(q).\nAnswer: -2*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 894 - 1?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4050)*2)**2 + -3 + 1 + sqrt(288) + 4 + -4 + 1.\nAnswer: 12*sqrt(2) + 16199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12978 and 42?\nAnswer: 12978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 225048562*g**3 - 422500558*g?\nAnswer: 1350291372*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 143*v**3 - 2569*v**2 + 11493*v + 405.\nAnswer: (v - 9)**2*(143*v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 + -6.1. Which is the smallest value? (a) 0.2 (b) r (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**6\/120 + c**5\/30 - c**4\/2 - 3*c**3\/2 - c**2 - 119. What is n(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 52.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (2 - 2) - 0 - (-21 + -26)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 953812424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27439\/4 - -6918. Which is bigger: -0.3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**3 - 2*k**3 - k**3)*(-3 - k + 3) + 136*k**2 + 8*k**4 - 136*k**2.\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 16. What is the remainder when t is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10521*q**2 + 2109*q**2 + 2090*q**2 + 2102*q**2 + 2107*q**2 + 2102*q**2.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 + 1)*(658*l - 6811 + 6811) + 5*l + l - 4*l to the form t*l + i and give t.\nAnswer: -2630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 8*z**2 + 10*z - 9. Let g be f(-9). Let x = g + 19. Let v(w) be the third derivative of -3*w**5\/20 + w**4\/24 - 2*w**2. Determine v(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + s = -54 + 53, -v - s = -5. Solve v*n = 69 - 73 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqbbizybqqczby. Give prob of picking 1 b, 1 z, 1 c, and 1 q.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2861451046.\nAnswer: 2, 263, 1187, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyyqyqyyqqy. What is prob of sequence yqy?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -7*s**4\/4 + 167*s**3\/2 - 984*s**2 - 288*s = 0.\nAnswer: -2\/7, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 584\/5 - 116. Which is the second smallest value? (a) -2 (b) r (c) -125\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2719*w**2 - 2869*w**2 + 7471*w**2 - 1881*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + -3 + -2.\nAnswer: -5 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 9*r + 21. Suppose -r*f = -2*f - 129. Does 29 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -530, -1026, -1678, -2492, -3474, -4630?\nAnswer: -5966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99275 - 99273. Suppose -236\/7*b**k - 162\/7 - 2\/7*b**4 - 360\/7*b - 40\/7*b**3 = 0. What is b?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4530 - 86068\/19. Put 0, y, -1, -4 in descending order.\nAnswer: y, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3602913?\nAnswer: 3, 19, 31, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*m - 2*n, 12*n - 10*n - 2 = -5*m. Let d(v) = 1. Let u(p) = -p - 5. Let h(b) = -11*d(b) - 2*u(b). Determine h(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36564 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 12:22 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**4 - p**3 - p - 1. Let f(z) = -z - 1. Let x(s) = -s**3 + 2*s + 1. Let o(l) = -10*f(l) - 6*x(l). Let m(y) = -o(y) - 2*t(y). Factor m(d).\nAnswer: 2*(d - 1)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqwwqwxzcqwwqwquqc. Give prob of picking 1 q, 1 c, 1 u, and 1 w.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/5)\/u)\/u)**46*u**(1\/11)\/(u\/(u**4*u*u*u)*u)*(u**4*u**(-1\/3))**(-2\/49) assuming u is positive.\nAnswer: u**(-852634\/8085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f + 6. Calculate w(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 31022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1350259?\nAnswer: 17, 79427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 126277420207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -14, -6, 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 1. Let o be 14\/(-4) + (-3)\/(-6) + 1. Let c(b) = b**2 - 3*b + 4. Let a(w) = o*s(w) - c(w). Determine a(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 q, and 2 d when four letters picked without replacement from yddywqdyws?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*j**2 - 21*j + 21*j)*(23 + 7 + 13)*(2 - 2 + 1).\nAnswer: -860*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -12*y**3 - 3*y**2 + 1237*y + 669. Give v(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*f**2 - 10*f**2 - 8*f**2 - 9*f**2.\nAnswer: -85*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -4922.\nAnswer: -11\/2461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by (2 - (-9)\/(-4)) + (-1314)\/(-72).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 17*g + 40. Let h be c(17). Find f such that -92*f + 1532 + h*f**2 - 15*f**2 - 9*f**2 - 15*f**2 + 584 = 0.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -13*x - 8. Let p be r(4). Let d be (-144)\/p*70\/4. Suppose 5*n - 231 = 3*t, 2*n = n + 2*t + d. 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: Which is smaller: 12644 or 12639?\nAnswer: 12639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9012\/21*21\/6. Suppose 0 = 11*y - d - 676. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/100 and -123\/2200.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (4016\/(-24))\/((-2)\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*c + 80*c - 168 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96561.24 minus 3.9809?\nAnswer: 96557.2591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 298846 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 1\/24*d**4 + 0 - 2*d - 1\/6*d**3 + 1\/60*d**5 - d**2 - 1\/120*d**6. Let s(k) be the first derivative of u(k). Determine s(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/52589 smaller than 2\/217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 12:45 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1711359669.\nAnswer: 3, 10463, 54521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*j = 54*j + 338. Solve 6*n + j = 19 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 4. Let a(l) be the first derivative of 0*l - 3 - 1\/3*l**h + 0*l**2. Factor a(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 7:22 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 132717.6 months?\nAnswer: 1105.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = -5*t + 3*z, 2*z - 10 = 0. Suppose 0 = t*k - 4, 4*k - 97 = -2*j - 19. Is j greater than 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3018 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 9*n - 85. Calculate m(-17).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 15) in base 2?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-6 + 15)) + (-15 - (5 - 5 - 7))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -378252 divided by 948\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 147031 - 100632. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36.2 - 35. Let g = v + 1.8. Which is bigger: 2\/11 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*k + 38 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -128 - (2\/(-2) - -3). Let c(g) = 24*g - 3. Let v be c(-3). Let x = v - l. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/27)\/c*c**(-2)*c*c\/(c**(-9)*c)*c\/(((c\/c**7*c)\/c)\/c) assuming c is positive.\nAnswer: c**(404\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*i - 11. Let w = -8 + i. Suppose -w*r + 2 = -5*r. Sort r, -4, 1 in increasing order.\nAnswer: -4, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/11)*f**(2\/13) assuming f is positive.\nAnswer: f**(9\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/29, 82, -15, -3\/2.\nAnswer: -15, -3\/2, -2\/29, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3742 at least 3676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 7:55 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from bssscsksb.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 35?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 - 2*m + 5. Let f(u) = u + 1. Suppose 6*s - s - 10 = 0. Suppose 4*b - s = 2. Let z(h) = b*k(h) - f(h). What is z(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 + -53.21656.\nAnswer: -51.61656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-252)\/(-36) + (-3 - 0). Calculate the greatest common divisor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 > -83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 118 = -7*z. Let g = z + 84. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**4\/4 - u**3 + u**2\/2 - 3*u - 3. Let i be v(3). Suppose 0 = -2*k + 2 - i. Solve k = c + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111201221102 - -2?\nAnswer: -111201221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -1\/6, -0.3, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.53167\nAnswer: 0.159501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27136?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/13)*f)\/((f*(f*(f*f**(1\/14)*f*f)\/f*f)\/f)\/f))**(4\/3) assuming f is positive.\nAnswer: f**(-362\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4506324522 to three decimal places.\nAnswer: 0.451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 133 + -133.07. Let d = 25 + -28.1. Let v = 2.7 + d. Sort 5, r, v, 0.4.\nAnswer: v, r, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -110 + 308. Is 21 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 39 = y. Let j(b) = -b**3 + b**2 + 7. Let q be j(3). Let t = q + y. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 7.34764.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.3 and 565?\nAnswer: 562.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d + 10380 = 3*z, 4*z - 4*d - 13836 = 0. Calculate the least common multiple of 20 and z.\nAnswer: 34620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218, -264, -306, -344, -378?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, l: 15}. Give prob of picking 3 l and 1 x.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 2*c**2 + 2*c - 3. Let y be l(-3). Suppose -33 = v - 4*v - 4*o, y = -v - 5*o. What is the smallest common multiple of 9 and v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 divided by 167118?\nAnswer: -3\/3979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133 + -137. What is the fourth biggest value in -0.1, i, 73, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9344, 9008, 8662, 8300, 7916, 7504?\nAnswer: 7058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*n + 40*n + 21109 = 5489 for n.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -79*k*o**3 - 511*k wrt o.\nAnswer: -237*k*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2*(-3)\/(-14) - (-5771700)\/2100?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**3 - 2*c**2 + 1. Let r be x(-1). Let w(n) = -8 - 3*n - 2 - 2*n. Let z be w(r). Calculate the highest common factor of z and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/9)\/((-8)\/(-6)). Does 2\/3 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 19 = 3*l, 297*x + 7 = -l + 299*x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 709503897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 p when four letters picked without replacement from {o: 9, p: 2}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26298 or -26300?\nAnswer: -26300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15412, -7, 0, 3.\nAnswer: -7, 0, 3, 15412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21525181 is divided by 10762564.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**3 + 2*r**2 - 2*r - 2. Let c(o) be the second derivative of 2*o**5\/5 + 3*o**4\/4 - 3*o**3\/2 - 9*o**2\/2 + 4*o. What is -2*c(n) + 9*l(n)?\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 114257 times 19.4?\nAnswer: 2216585.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*(-84)\/48*100\/70?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 645 and 2565?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**4\/10 - 9*s**3\/10 + 3*s**2\/10 + 29*s\/10 + 9\/5 = 0.\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**4\/12 - 5*a**3\/6 - 2*a. Let v be k(-8). What is the lowest common multiple of 3 and ((-1)\/(-2))\/((-4)\/v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 550\/29 + -19. Let s = h + 63\/145. Which is the closest to 1? (a) s (b) 2\/13 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2886152 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.74385 to 2 decimal places.\nAnswer: -44.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 254058 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from adadrrbbyayyaq.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - 88 - (0 + -18).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3. Let w(z) = -19 + 32 - 135289*z + 1035290*z - 15. Let p be w(f). Round p to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*((sqrt(1728) + -2)*1 - 1*sqrt(1728)*3))**2.\nAnswer: 6912*sqrt(3) + 248975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*h + 24, -13*b + 18*b = -4*h. Solve b = 5*q - q + 4*x, 0 = -q + 4*x + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -14 + 68 - 17 - 26 + f - 16. Let j be -1 + 2 - (-2 + 2). Let o = -4 + j. Let q(i) = i - 4. Determine o*q(k) + 2*u(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8 + 0.7. Let u = 1.099935 + v. What is u rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253538389?\nAnswer: 13, 19502953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*d + 330, -2*u - 16 = 4*d + 122. Let l = -43 - u. Find the second derivative of -7*o**2 - 8*o**2 - 12*o - 7*o**2 + l*o**2 wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 96775084*c - 96775088.\nAnswer: 4*(c - 1)*(c + 24193772)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 9*f - 1 + 6*f.\nAnswer: 11*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 874.7209 micrograms to grams.\nAnswer: 0.0008747209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3632)\/(-520) - 7)*-1. Does p = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*a*g**4 - a*g**3 - a*g**2 + 9*a*g + 2543*a + 1895*g**4 + 16*g**3 - 2*g**2 - 2*g wrt g.\nAnswer: -96*a*g - 6*a + 45480*g + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 + 4*j + 3. Let k be l(-1). Let z be (-7)\/(28\/40)*k. Let o(q) = -q**3 - 10*q**2 + 2*q + 12. Calculate o(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.12 + -0.18. Let d = -2.2 - o. Which is smaller: d or 1\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-2 + 0*d + d + 0*d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 12) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38408174?\nAnswer: 2, 7, 59, 46499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 times 16.9?\nAnswer: 35.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - 14*m - 15. Let w be x(8). Let q = 0.989 - 1. Is q at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) + sqrt(147)\/(sqrt(3)*2))\/sqrt(7))**2 - 3*(sqrt(343) + ((-5 + sqrt(343))**2 - sqrt(343))).\nAnswer: -4353\/4 + 210*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g - 60. Let m be v(8). Suppose 38 = m*q - 2. Which is smaller: q or 12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, w: 2, q: 7}. Give prob of sequence vq.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2035257 by -3.\nAnswer: 678419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/7 - 9537*i\/7.\nAnswer: -i*(i + 9537)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222592 divided by 222592.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 75*u - 3. What is the tens digit of n(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64768 and 42.\nAnswer: 1360128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15056*r - 15319*r + 263 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36807 - 30944. What is the remainder when x is divided by 309?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 478808 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 10 = -6*r, 2*x - 9*r = -4*r - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9408 and 4032?\nAnswer: 28224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1323*t**5 + 7*t + 25 wrt t.\nAnswer: 26460*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 5*g - 1. What is the units digit of v(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k*k*k\/(k*k\/k**8*k*k*k)*k*k*k)\/k)\/k**(8\/3))\/(k**(1\/3))**(-24))\/((k*k**(2\/5)*k*k)\/(k**5*k)*k\/((k\/k**(-8))\/k)*k\/k**(-6)*k) assuming k is positive.\nAnswer: k**(239\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 + 33 + -45 + -5 - (-2 + -21).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((6*sqrt(70)*-2 + sqrt(70))\/sqrt(10) + (sqrt(7) - sqrt(112)*1 - sqrt(7) - -2*sqrt(448))).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/126*(-18)\/168. Is -1 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (0 - 1) - (34 - 59 - -7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(39) + 3*(sqrt(2496) - sqrt(39)) - sqrt(39))\/sqrt(3) + 3 + -1*(sqrt(637) + -5 + sqrt(637))**2*-4.\nAnswer: -539*sqrt(13) + 10291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 100 = 2*j. Let i = -3 - -17. What is the remainder when j is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*1*(sqrt(140)\/sqrt(125))\/(sqrt(256)*-4).\nAnswer: -sqrt(7)\/80 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 375, 2, -1 in decreasing order.\nAnswer: 375, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 350922.1 days?\nAnswer: 8422130.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.205, -0.4, -449\/11, -0.3, -0.2, 0.3, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.314420202 to four dps.\nAnswer: 0.3144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 10*m**2 - 12*m - 6. Let j be (-99)\/(-6)*(-2)\/3. Is 3 a factor of n(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 15787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v**2 - 11*v + 14*v**4 + 27*v + 11*v**4 - 12*v to p*v**3 + q*v**4 + j*v**2 + n + h*v and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001784 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zajaxz. Give prob of picking 2 z, 1 x, and 1 a.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0486 * 0.09.\nAnswer: 0.004374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrrrrer?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 46\/8 + (-1)\/(-4). Let w be j\/33 - (-60)\/33. What is the second derivative of v**w + 4*v**2 - 4*v**2 + 3*v wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 3, 5, -11, 2, 977 in descending order.\nAnswer: 977, 5, 3, 2, -11, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-3\/5)*l**(-1\/3)*((l\/(l**(-2\/5)*l))\/l)**(-2\/19))\/((l**5\/(l\/(l\/l**(2\/7))))\/(l**(2\/5))**(-2\/13)) assuming l is positive.\nAnswer: l**(-89372\/25935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(4*q - 5*q + 0*q) + q - q + 2*q + q - 2*q + 3*q + (-1 - 2 + 2)*(-4*q - q + 4*q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*y - 18 = -2*f + 120*y, f - 8 = -y for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -14, -1, 18, -48, -5 in decreasing order.\nAnswer: 18, 2, -1, -3, -5, -14, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 4*b - 4 = 0, 195 - 187 = 2*b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185700272 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 18 = 2*f - 2, 0 = 2*x - 2*f. Suppose x*a + 834 = 1439. Calculate the remainder when a is divided by 28.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1283, 1376, 1431, 1442, 1403?\n\"Answer: -o**3 - 13*o**2 + 139*o + 1158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 3:50 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and (-1 - 329)\/((-216)\/288).\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, l: 4}. What is prob of sequence ffl?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 307503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = a - 22, 2732*h = 2735*h + 5*a - 110 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f\/(f**5*f)*f)\/f)\/f*f)\/(f*f**7)*f**(-1\/3)*f*f**(5\/4)\/f)\/((f*f*f**(1\/3)*f)**(-2\/41)*(f**0)**(-10)) assuming f is positive.\nAnswer: f**(-1791\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 388 + 133 = 0. List the prime factors of j.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 15. What is the fourth biggest value in 0.3, 0.6, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 11*f**2 - 8*f + 14. Suppose 5*j + 29 = 4*w - 24, 5*j = 2*w - 29. Let m(o) = 33*o. Calculate the remainder when u(w) is divided by m(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 148*k - 1376. Determine d(9).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 682 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 + y**2 - 7. Let a(l) = -17*l**3 - l**2 + 47. What is a(v) + 2*s(v)?\nAnswer: -21*v**3 + v**2 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 11:46 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 254 * -0.215.\nAnswer: -54.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399 = -3*i - 3*l, 4*i + 5*l = 5*i - 139. Calculate the remainder when i is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 49854.59 meters?\nAnswer: 4985459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 275852314 to the power of 1\/2, to the nearest integer?\nAnswer: 16609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3454168064?\nAnswer: 2, 149, 22639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 8. Let m be 8 - (0\/i - 1). What is the greatest common factor of 27 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 1. Let m(l) = -5*l**3 + 2*l + 5. Let n(w) = -4*f(w) - m(w). Let d be n(-1). Suppose d = -4*g + 9*g. Solve g*u = 4*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -45.7. Let d = 1.7 + f. Put -0.2, 0, -4, d in increasing order.\nAnswer: -4, d, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1 - 4*p**2 + 0 + 11 + 5*p**2 wrt p?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**4\/2 + 7*y**3\/6 - 2*y. Let m(t) = -t**2 + t. Calculate 5*m(u) - w(u).\nAnswer: u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 2*m = -47, -310*m + 151 = -306*m + 27 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10185*j + 2701*j - 677*j + 967*j + 2037*j to s*j + f and give s.\nAnswer: 15213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**3\/3 - 15*f. Let q(d) = d. Give q(c(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11.2 * 5.1\nAnswer: 57.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*o = 618*o + 7637 + 1243 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, n: 2, w: 1, h: 2, u: 1, g: 3}. What is prob of sequence nu?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/153 and 6\/85.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 56 (b) -8.6 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-1)\/(-13)) + (-359 - -364). Solve 20 = -13*a + i*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 1. Let l(f) = -3*f**2 - 6*f + 6. Let v(x) = -6*c(x) - l(x). Let b(s) be the second derivative of s**4\/6 + 6*s. Determine v(b(d)).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57\/5 - -409\/35. Which is the nearest to -0.1? (a) 1 (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 24. Suppose 0*n + 4 = -n. Is ((-235)\/n)\/(2\/i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 33*u - 235. Calculate r(9).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(2*1\/(-3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/12*3\/5. Let w(m) = m**2 + m - 1. Let z be w(1). What is the second smallest value in b, z, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -37*k**2 - 14*k + 31. Determine v(2).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/7 (b) -0.18 (c) 2\/9 (d) 18 (e) 0.027\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Express 337 + 37*q - 337 in the form l*q + r and give l.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(124\/(-56) + 2). Let q be (-30)\/(-105) + (-178)\/w. Calculate the highest common factor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + 74c5c?\nAnswer: 74c64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-21)\/(-90) + 12\/(-144)*-2. Let t = 2 - 0. Sort -5, t, h in descending order.\nAnswer: t, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 0, 10, 24, 42, 64, 90, 120?\n\"Answer: 2*p**2 + 4*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2310 - 15024013?\nAnswer: -15021303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5)*m**(-4)*m*(m*m\/(m*m**(2\/3)))**(1\/64))\/((m**(-3)*m**(-3))\/(m**(3\/8)*m**5)) assuming m is positive.\nAnswer: m**(7853\/960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1491?\nAnswer: -1490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 833 and 56?\nAnswer: 6664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c + 28. Let y(s) = 6*s - 59. Let w(v) = -13*q(v) - 6*y(v). What is w(-7)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/37921 and -24\/14585?\nAnswer: 189605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -1. Let q = 871 + -873.4. What is the closest to -1 in 0.1, q, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2554*y**2\/3 + 2555*y\/3 + 1\/3 = 0.\nAnswer: -1, -1\/2554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 2*k - 4. Suppose o + 10 = 7. Let j be p(o). Let z(v) = 85*v**2 + 3*v. What is the units digit of z(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1.5, -24, 0, -0.5, 13195 in descending order.\nAnswer: 13195, 1.5, 0, -0.2, -0.5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.86466 litres to millilitres.\nAnswer: 49864.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 25 = -5*u, -t + 20 = 3*t + 2*u. Find the second derivative of t - 3 - 7*o - 2 - 13*o**5 wrt o.\nAnswer: -260*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-3)\/(-10)))\/((-1360)\/(-4896)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 7. Let n be k(3). Let s be n - 8\/(-2)*1. Solve -5*z - 5*b - 23 - 7 = s, 2*z - 5*b = 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**6\/15 + 59*k**4\/3 + 895*k**3\/6 - 3*k - 569. Find the second derivative of o(u) wrt u.\nAnswer: -24*u**2 + 472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583371187?\nAnswer: 7, 233, 357677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*c = 128*c - 15067. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*x = -295404, 4*d - 132404 = x + 458399. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -213426, -426854, -640286, -853722, -1067162, -1280606, -1494054?\n\"Answer: -2*t**2 - 213422*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -68*w - 4*w**2 - 1 + 3*w**3 + 31*w - 2*w**3 + 38*w + 0*w**2. Suppose 0 = -b + t - 3*t + 12, -3*t = -15. Determine d(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*l - 282 = 0. Let y be l\/15 - 24\/(-30). Suppose 3*c = -2*c - 85. Which is greater: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/24)\/(108\/(-96)). Let w = -44\/135 - y. What is the nearest to 1 in 0.5, w, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24644983.14 to the nearest 1000.\nAnswer: -24645000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35270626 to the nearest integer?\nAnswer: 5939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, n: 2}. Give prob of sequence nnn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6862, -6861, -6860, -6859, -6858?\n\"Answer: j - 6863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 h, and 1 u when three letters picked without replacement from {h: 1, w: 1, u: 1, v: 1, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/(-18)*12*(-13250)\/4. Round y to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*y. Let i(z) = -z + 145. Is i(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 8*z + 6. Suppose 4*o = -3*v + 80, -4*o = -32*v + 29*v - 80. Suppose 3*s - 5*w + 19 = -o, 4*s + 47 = 5*w. Calculate h(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbdb when four letters picked without replacement from hbdbzhhhhfbzfhz.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.033247 to three decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12332302212 (base 4) to base 2\nAnswer: 110111110110010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 186574352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-5))\/(p\/(p*p**(-7)*p)))**(3\/35)*(((p*p**(2\/9))\/p)\/p**(-5))**(-3\/34) assuming p is positive.\nAnswer: p**(-941\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 39*u - 49*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from rrrrhvhrprpvrhr?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hyayahaayha.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 8:22 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvvz when four letters picked without replacement from zzzzzzzvzvzvvzzv?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4407265?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 14 = -3*t + 4*d, -4*d + 34 = 5*t. Suppose h = t + 726. Suppose -5*g + 184 + h = 0. List the prime factors of g.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -665*o + 1360*o - 696*o. Suppose 0*b = -5*u - 2*b + 8, 4*b - 16 = -u. Let a(l) = u + 0 + 12*l. Give a(q(i)).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 12*l - 10*l + 24, 5*d = 34*l + 18 + 71 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 6:06 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/2 (b) 106 (c) -160\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - t**2 - t - 37. Let h be (-17)\/3 + 48\/(-36) + 7. Give f(h).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b + 141856*b**2 - 4*b.\nAnswer: 141856*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q - 51 - 131 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11314 + 4?\nAnswer: -11310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1136 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 823801043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 8*g. Let v be p(1). Suppose -5*a = -2*d - v*a + 804, -4*d + 2*a = -1624. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 166.5 - -59.5. Let p = v - 226.0241. What is p rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -21*d + 1\/24*d**4 - 1\/80*d**5 + 3\/8*d**3 - 4 - 9\/4*d**2. Factor i(t).\nAnswer: -(t - 3)*(t - 2)*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5179 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 7:01 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**8\/8064 - w**7\/2016 + w**6\/144 - w**5\/20 + 3*w**2. Let h(d) be the third derivative of p(d). Factor h(c).\nAnswer: -5*(c - 1)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3796 - 3338. Calculate the remainder when s is divided by 151.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/9))**(-1\/32) assuming w is positive.\nAnswer: w**(1\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, b: 3, h: 3, d: 2, x: 2}. What is prob of picking 2 u and 2 d?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 351127 - 351126.8854061. Let s = 0.1149 - o. What is s rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/(-36))\/(2\/6). Suppose -65 = -u*v - 61. Suppose 0*a = 3*a + v*p - 418, -5 = -p. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 686 + -589 - (-1 + 46).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95358?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c - 20?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 3*s + 0*s)*(-77*s + 65*s - 76*s - 43*s).\nAnswer: 393*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841 less than 3997?\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 + 18. Let y = 63 + t. Differentiate -2*z + 1 - 338*z**3 + 2*z + 346*z**y wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 266 = -2*u, -128*d + 177 = -125*d - 11*u - 35 for d.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17427*s + 600 = -17457*s for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-35)\/(-84) + 4\/(-6). Suppose 2*g + 20 + 12 = 0. Let u = -79\/5 - g. Which is the biggest value? (a) 6\/7 (b) u (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 887 - 809. Calculate the remainder when c is divided by ((-25)\/(-10))\/((-1)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -484 - -493. Which is the nearest to 4? (a) t (b) 2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00539185 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -134 divided by -408407\nAnswer: 134\/408407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 2839500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-5))\/t**(4\/5))**(-2)\/((t\/(t\/t**(-2\/5)))**26\/((t*t**(-2)\/t)\/((t**(1\/4)*t)\/t))) assuming t is positive.\nAnswer: t**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 - 3*a**2 - a - 6. Let k be n(3). Let m = -453\/5 - k. Let t be (-3)\/(-2) + -1 + 0. Is t <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5128203 * 0.084\nAnswer: -430769.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -40*l**2 + 4*l - 13. Let z(r) = -13*r**2 + r - 4. Calculate -2*v(p) + 7*z(p).\nAnswer: -11*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62462838?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*p - 103574 = -83943 for p.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 513 + 2203?\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, v: 5, a: 1, o: 1}. What is prob of sequence av?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 15 + 5. Suppose 0*v = -m*v + 40. Suppose -2*q + v = -14. What is the greatest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13, 49, 217, 545, 1087?\n\"Answer: 9*o**3 - o**2 + 2*o - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-15) + (-4)\/(-10). Suppose a = -8*b + 6*b + 6. What is the highest common factor of b and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.1085892\nAnswer: 0.0542946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11333 (b) -514.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(384) + sqrt(96)\/(sqrt(4) + sqrt(4)*2))\/(sqrt(144)\/(3*-1*sqrt(12))).\nAnswer: 59*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 61189, 251015, 567393, 1010323, 1579805, 2275839?\n\"Answer: 63276*u**2 - 2*u - 2085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(171) + 1)*-6*2 + -4 + -5)**2.\nAnswer: 18360*sqrt(19) + 618201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y + 16. Let f be m(-8). Which is greater: -3\/23 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/(-26*129\/1118)*114?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 6*j - 6. Let u be m(6). Let b be 3*(0 + (-4)\/u). Suppose -3*h - h + 46 = -b*a, 4*h = -a + 49. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21100.\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 137 + 18*u**2 - 137 in the form s + d*u + w*u**2 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1148140 by -1946.\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2157051 or -47?\nAnswer: -2157051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 428164080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 276, 1\/10, 2\/13, -28.1, -4, -2\/11?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 156*r**2 - 53*r - 23. Let m be b(7). Suppose 3*v + 3*s = 4344, -5*v - 7*s + m = -4*s. List the prime factors of v.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a milligram in nanograms?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 480657.8 decades to centuries.\nAnswer: 48065.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m + 27 = 0. Let g = m + -8. Let h be (-5)\/(-6) - (-4)\/(-12). Which is the third biggest value? (a) 0.2 (b) g (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(1 + sqrt(425))*-6)**2 - (sqrt(816)\/sqrt(3)*4 + 5)) + 5.\nAnswer: 1424*sqrt(17) + 61344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9871 times -6.43?\nAnswer: -63470.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/13312 and -69\/2048.\nAnswer: 26624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 34\/9, -10, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 4*b + 4*p, -48*b = -52*b + p - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/18*-2*-6. Let k(y) = 202*y**2 - 2*y - 8. Let a be k(-2). Suppose -s*l + a = 2*l. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -7. Suppose 0 = -a - 2*a + 9. Calculate the greatest common divisor of u and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c. Let j(z) = -1. Let l = -19 - -14. Let t be (20 + -29)*(l\/(-3) - 2). Suppose -5*o - 13 = -t. Determine o*j(i) + q(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - 9 - 10) + -7 - 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1491.4 - -1490.9. What is the nearest to -0.2 in -3, -1\/11, -1\/9, b?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-88)\/(-6))\/(2*(-12)\/72). List the prime factors of (a + -1)\/(89\/(-1513)).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16800 + q**3 + 3*q**2 + 130 + 686 + 14*q.\nAnswer: q**3 + 3*q**2 + 14*q + 17616","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + -10. Let m = 59.11 + -82.21. Let o = m - c. Put o, -1, 2\/7 in descending order.\nAnswer: 2\/7, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8034)\/(-39) + 1*6. Let t = 1912\/9 - p. Find the common denominator of t and -1 + 2 + 137\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 47, 2, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2940 and 660?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - 1*sqrt(833) - 1*sqrt(272) - (4 + 1*-2*sqrt(17))*1.\nAnswer: -8*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5))**(4\/5)\/(d**(-1\/3)\/d)**27 assuming d is positive.\nAnswer: d**(892\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 0)*(-2*s**2 + 0*s**2 + 0*s**2)*(4 + 87 + 3) + (5*s**2 - 2*s**2 - 4*s**2)*(-2 + 3 + 3))*(4*s**3 - s**3 - 5*s**3).\nAnswer: -744*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 14 + 17 = 0. Let i(m) = 0*m - 3*m + 9*m + 9 + 8*m**2 - w. Let k(l) = -7*l**2 - 5*l - 5. Give 5*i(s) + 6*k(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 19, l: 1}. Give prob of picking 2 j.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -26, 7, 14, 1, 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73.62 + 73.32. Let q = 1.2 - 0.2. Let v = -1.5 + q. What is the second smallest value in 0, a, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2038.44391 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 13.16036\nAnswer: 1.316036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11125502 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 145 = -b. Suppose 5*r - b = 36. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94067, -93679, -93033, -92129, -90967, -89547?\nAnswer: -87869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*j - 262*j - 303*j.\nAnswer: -177*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + s = 0, 12 = -2*s + 4. Let w be (-10)\/(-2) + (n - 1). Suppose -u - w*l + l + 7 = 0, -4*u + 18 = -2*l. Solve -2*a = -u*a - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -195 and 55.1.\nAnswer: -139.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016823292 rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2466, 3\/8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 40 times -4\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1234*y + 29*y**2 - 1234*y.\nAnswer: 29*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 12:19 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -4, 0, 406.\nAnswer: -4, -3, 0, 2, 406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 111860408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1\/2, 35, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**5 - 30*o**4 + 1935*o**3 + 12440*o**2 - 77520*o = 0. What is o?\nAnswer: -17, -12, 0, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h + 83. Let s be j(-21). Is -21\/121 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3734*a - 3*n = 3731*a - 18, a + 5*n = 60 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 - 29. Suppose -2*j - 4*i = 70, -j + 0*j = 4*i + a. Let q = j - -54. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b**2 + 3*b - 5. Let d be (3\/2)\/((-2)\/(-4)). Let r(g) = 3*g**2 + 2*g - 3. Let u(k) = d*n(k) - 5*r(k). What is u(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6222*d - 14195. What is the hundreds digit of o(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 21. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**6\/30 - 9*i**5\/25 + i**4\/5 + 12*i**3\/5 - 16*i**2\/5 + 932. Let c(j) = 0. Calculate j.\nAnswer: -2, 0, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 7:21 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 5)*(4*n + n - 3*n)*(4*n - 3*n + 5*n + (-5 - 3 + 6)*(-5 - 2*n + 5)).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.037 * 0.4.\nAnswer: -0.0148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/((-6)\/(-4)). Put 1\/5, s, -3 in decreasing order.\nAnswer: 1\/5, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 22. Let b be y(10). What is the greatest common factor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + 7 - -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + s = 15, c + 4*s - 14 = 8. What is the third derivative of -3*r**6 + 6*r**2 - r**c + 2*r**6 - 2*r**2 wrt r?\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1107 = 8*l - 413. What are the prime factors of l?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/4*-1*-2. Let t = 10 + -12. Let r = 0.1 - -0.1. What is the nearest to -1 in t, h, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 - (5 + -4)*-3 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5\/4 - 2900*p**4 - 176027*p**3 - 1321241*p**2\/2 - 588147*p\/4 + 1973169\/2 = 0 for p.\nAnswer: -11539, -57, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -318 (c) 3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -14*u**2 + 18*u. Let z(s) = 3*s - 11. What is b(z(y))?\nAnswer: -126*y**2 + 978*y - 1892","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 555 + -40571?\nAnswer: -40015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 - 435 = 13*n. Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - (-33 - -1 - -25).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(25\/10)*(-1)\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 10*h**2 + 2*h. Let j(n) be the third derivative of n**4\/6 + 726*n**2. Give j(a(u)).\nAnswer: 40*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 20*q + 19, 500*k = 498*k + q + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40104 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 + r. Let k(d) = -d**2 + 23*d + 15. Let s be k(23). Let y = 6 + -9. Let n be 2\/y - 5\/s. Determine a(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1738318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -33706311.21 rounded to the nearest one thousand?\nAnswer: -33706000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 179015 + 842740. Let h = -123608 - -186353. Let v = w + h. What is v rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 56814221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -33420241044?\nAnswer: -33420241103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 268579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152929401 and 607?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 537*h**2 + 8*h + 22. Is q(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 * -171\nAnswer: 4104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2229.\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 61594, 123268, 184956, 246664, 308398, 370164, 431968, 493816?\n\"Answer: c**3 + c**2 + 61664*c - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**4\/12 - 49*s**2 - s. Let w(z) be the third derivative of 0 + 0*z**4 - 1\/60*z**5 + 0*z + 7*z**2 + 0*z**3. What is p(w(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1667950 + 164948 = 148*w + 358226. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54328 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**4 - 80898*a**3 + 820603378*a**2 - 51387267558*a + 99492768756 = 0.\nAnswer: 2, 61, 20193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 17*l + 19. Let o be g(-16). Solve -f - 2 = -o*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211832 = -15*j + 23*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (598 + 609 - 1222 + z)*(11*z**2 + z - 2 - z) as r*z + s*z**2 + u + i*z**3 and give s.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + t**2 - t + 2. Let i(x) = x - 3. Let j be i(5). Let f = -2 + j. What is the units digit of u(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(343) - 4*(2*sqrt(7) + sqrt(7))) + (3*sqrt(112))\/(sqrt(100)*3).\nAnswer: -123*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279840880 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**4 - 135736*k - 307312 - 52561 - 9348*k**2 + 30641 - 234*k**3 = 0.\nAnswer: -38, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-45)\/((w*w**(1\/5)*w)\/w))**(5\/3))**(-40) assuming w is positive.\nAnswer: w**3080","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**3 + 10*b**2 - 19*b + 7. Let a be x(3). Let j = 185 - a. Solve 0 = 5*h + j + 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 152 = k, 4*k = 3*n - 142 + 44. Calculate the least common multiple of 63 and n.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**5\/8 + 936*d**4 + 22437*d**3\/8 - 3*d**2\/2 - 7479*d\/2 = 0.\nAnswer: -2493, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8084.049761 plus -4?\nAnswer: 8080.049761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 43.3 at least 4426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -19*c + 31. Calculate q(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6595290.\nAnswer: 2, 3, 5, 13, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 415284, 830575, 1245872, 1661175?\nAnswer: 2076484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 14564256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 153*t - 83. What is z(1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -17*u**2 - 33*u + 21 - u**3 + 22*u + 27*u + 28*u**2. Is r(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4345.\nAnswer: 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 2936184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -941462, -941454, -941436, -941402, -941346, -941262?\n\"Answer: j**3 - j**2 + 4*j - 941466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7053103.3 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 0.4178.\nAnswer: 0.7178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37708686*n**2*q - 552*n**2 - 203 wrt q?\nAnswer: -37708686*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*b**2 + 6*a**2*b*o - 1555*a**2*b - 3*a**2*o - a*b**2 - 29*b**2*o + 412*b**2 wrt a.\nAnswer: 2*b**2 + 12*b*o - 3110*b - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-3 - ((-3)\/(-1) - -1)). Suppose 5*b + 3*y + 2 = 0, 0 = -3*y - 12 - 0. Solve 0 = j*r - d + 16, b*r - 3*d + 0 = 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, y: 9, q: 4}. What is prob of sequence qq?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kvvkvkvvvkvk.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5\/8 - 15*g**4\/8 - 13*g**3\/8 + 15*g**2\/8 + 7*g\/4 = 0.\nAnswer: -14, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3131240 to the nearest ten thousand.\nAnswer: 3130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Let h = 4 - y. Suppose h*w + 0*v - 20 = -v, 5*w = -v + 56. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utru when four letters picked without replacement from srutrsrrurursgu.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1178 and 38494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*f + 84*f - 50 = -3*w, 0 = -f - 4*w + 28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 9*w**2 - 11*w - 7. Let j be (0 - -1)*(3 + -9 + -4). Let v be l(j). Solve -2*h + 14 + 9 = -v*d, 5*d + 2*h + 17 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -2, -1, -5, 3 in decreasing order.\nAnswer: 3, -1, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144854638 = -5*a + 106145362. Round a to the nearest one million.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 + 5*q + 9\/2.\nAnswer: (q + 1)*(q + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**5 + 2930*l**4\/11 - 7528*l**3\/11 - 200776*l**2\/11 - 466624*l\/11 + 8320 = 0.\nAnswer: -4, 2\/11, 11, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.177 - -0.2278. What is r rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 193053831*f*p**2 - 248097*f*p - 46 wrt p.\nAnswer: 386107662*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -6*x - 1\/21*x**7 - x**3 + 2\/5*x**5 - 1\/3*x**4 + 2\/15*x**6 + 0 + 0*x**2. Suppose k(q) = 0. What is q?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - -0.24. Let m = y - -0.06. Which is the closest to m? (a) 0.4 (b) -2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 27. Let d be q - 9*2\/30. Which is the closest to 0.2? (a) 0.3 (b) -0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, g: 4, x: 2, u: 3, n: 1, d: 1}. What is prob of picking 1 g, 1 x, and 1 z?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.53*0.20031.\nAnswer: 0.1061643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 + -3 - (7 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*w + 306 = -23*w. Solve 0 = -4*m - 2*k - w + 12, -4*m + 2*k + 18 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25f22 + -232?\nAnswer: -26154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/45)\/((-6)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -53?\nAnswer: -10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 3089, 2\/5, 0.777?\nAnswer: 0.777","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 21. Suppose -o + 9*o - 40 = l. Suppose -2*u = -o*j + 30, -46 + 16 = -5*j - u. Solve 3*y + 0*y = -6, c - 3*y = j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 3*n - 5. Let d be q(10). Let t = -77 - d. What is the tens digit of (5 - 4)\/(t\/(-118))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**8*g\/(g*g\/(g**(-8)\/g*g))*g**(1\/2)\/(g\/(g\/(g*g**(-1)\/g)*g)*g))**(-13\/5))**47 assuming g is positive.\nAnswer: g**(17719\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p + 41. Let u be m(-16). Let g = 54 + u. Calculate the greatest common divisor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8609107171?\nAnswer: 7, 47, 3163, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 131, 121, 111, 101?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u. Suppose -5*b - 36 = -u*b + 4*w, -2*b + 5*w + 12 = 0. Let x = 4 + b. Solve x = -4*y - 14 - 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1940 and 213020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = -7*t - 25*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p**2 + 2*p + 1. Let q(u) = -15*u**2 - 2*u - 1. Let y(j) = -2*q(j) - 2*v(j). Let m(t) = t**2 - 137*t. Calculate m(y(x)).\nAnswer: 324*x**4 - 2466*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -80*c**2 + 9604*c - 481. Give u(120).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -5*m - 17, 2*p + 3*m - 27 = -41 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 10:29 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -73*t**2 - 7074*t + 736. Give m(-97).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-16\/7)\/(p\/(p**(17\/5)\/p)) assuming p is positive.\nAnswer: p**(-31\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**4\/12 - 7*b**3\/6 + 5*b**2\/2 + 3178*b - 3. Suppose 0 = -3*r + r + 14. Calculate h(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-1 - 5) + (0 - 1) + 810 + -746).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269492866.\nAnswer: 2, 83, 1623451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*i + 5*p - 60, 12 = -i + 5*p. Let j = -6 + i. Let t be 6\/(-57)*(3 - j). Sort t, 0.3, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -556 divided by 139?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 - -57. Let f be 3*(-3)\/(l\/(-176)). Do -42 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.3 + -4.9. What is the fourth smallest value in -1, -4, -3\/11, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 13269059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65583.9 - -65584. Let u = -3 - -6. Which is the nearest to 3? (a) z (b) u (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1827 smaller than -1931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n - 4*l - 187 = 0, -325 = 5*n + 4*l. Let m = n + 51. Is (m\/(-24))\/(1\/(0 + 144)) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(2\/11)*j))*j**3)\/(j**(1\/3)*j)**(-43))\/((j*j\/(j\/(j\/(j**(-1\/4)\/j*j))))\/(j**0*j))**23 assuming j is positive.\nAnswer: j**(4325\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 25, -4*b + 9 = -2*l - 1. Calculate the remainder when (114\/(-18) - -7)\/(2\/81) is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53636?\nAnswer: 2, 11, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75.8 + -22.2. Let p = 156 + w. Let q = p + -57.9. Which is the nearest to -1\/3? (a) 4\/3 (b) 1\/9 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, p: 1, r: 1}. Give prob of sequence pg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100750, 201440, 302130, 402820, 503510?\nAnswer: 604200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1665196 is divided by 459.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 871*d + 83 = 982*d - 139. Factor -27\/4*p**d + 3\/8*p**4 - 15 - 3\/8*p**3 + 39\/2*p.\nAnswer: 3*(p - 2)**3*(p + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36663186.\nAnswer: 2, 3, 7, 17, 51349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h + 3*h + 5*h)*(-4*h + 10*h + 0*h)*(-1 + 6 + 13) as q*h**2 + p + w*h and give q.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2157062?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*g - 32, 7 + 5 = -b - 4*g. Suppose -2*m - b*o + 9*o = 2, -20 = -4*m - 2*o. Solve -6*x = -m*h - 3*x - 17, 0 = 5*h - 2*x + 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s. Let l(a) = 55*a**2. Let f(i) = -67*i**2 + i. Let r be f(1). Let o(z) = z**2. Let n(j) = r*o(j) + l(j). Give v(n(d)).\nAnswer: 22*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by (49\/(-2))\/((395\/(-10))\/79)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24050 and 260?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7945 and 1135.\nAnswer: 7945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2\/11*b**2 + 0 + 5000\/11*b**4 + 0*b + 200\/11*b**3 = 0.\nAnswer: -1\/50, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23309832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 43. Put k, -2, 2 in descending order.\nAnswer: 2, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-4) + -5 + 3. Suppose -k*p = 4*j + 14 - 34, 22 = 5*p + j. Solve 0 = -5*o + 3*z - p, z = -5*o - 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 17*b**2 - 1 - 11*b**2 - 5*b**2.\nAnswer: b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13655555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -245121 divided by -6\nAnswer: 81707\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b**2. Let a(g) = -197*g - 4. Give a(v(r)).\nAnswer: 1182*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 5:44 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 7*v**2 + v - 5. Let k be q(6). Calculate the remainder when (56\/k)\/(4\/(-50)) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(74 - 35 - 29)*(-99*o + 39*o - 72 + 72).\nAnswer: -600*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/4, -3\/227, 1?\nAnswer: -3\/227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**3\/6 - 12*n. Let c(r) = 7*r**2 - 164 + 5*r**2 + 166. Give b(c(h)).\nAnswer: 12*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19544074*q**3 - 323461*q + 12 wrt q?\nAnswer: -117264444*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.24231 days in milliseconds?\nAnswer: 7796935584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52118827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 16. Let n = i + 11. Suppose 3*h + 8*k - 4*k = 29, -n = k. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -15*g + 92. Give o(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2214 and 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**5\/60 - f**3\/3 - 1. Let p(w) be the third derivative of b(w). Let u(q) = 2*q + 2*q + 0*q - 3*q. Determine p(u(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11336769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 192 + -118. Calculate the common denominator of 169786\/(-12512) + 8 + (-2)\/17 and m\/12 - 2\/(-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2018 times 391?\nAnswer: 789038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -9860*g**2. Let d(s) = 853*s. Determine l(d(j)).\nAnswer: -7174224740*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 11*f**2 - 13*f - 6. Let s be l(12). Does 10 divide 10*(-2 + s\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 3*t + 1, 4*t - 1064 + 1040 = -5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 30*y + 20. Suppose 95 + 25 = 6*x. Let c be j(x). Suppose 309 = -4*f + 2*f - 3*d, 4*d = -4*f - c. What is f rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159926 is divided by 469?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1155, -1206, -1259, -1314, -1371, -1430?\nAnswer: -1491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}