diff --git "a/data/dm_maths/full_data_1/10020_11255.jsonl" "b/data/dm_maths/full_data_1/10020_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10020_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let u = 51 - 101. Let y = u + 50.05. Let f = 0.0500122 - y. Round f to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27594 is divided by 368.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.45333444 and -7?\nAnswer: 15.45333444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 - 124\/3. Let z = -135654.3 + 135654. What is the smallest value in f, 9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.08 and -3\/74 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 26890 divided by 5\nAnswer: 5378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 266558 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3*y - 39, 3*y + 1 = 4*m - 5*m. List the prime factors of (4 - 59)*4\/m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**4\/4 + 4*k**3 - 21*k**2\/2 + 10*k + 435. Solve a(z) = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46889130?\nAnswer: 2, 3, 5, 1562971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42310357961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -10, 4 in increasing order.\nAnswer: -10, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 - 18*w**2 + 16*w + 5*w**2.\nAnswer: -5*w**2 + 16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t. Let x(n) = 1. Let v(j) = -b(j) - 10*x(j). Let f be (-6)\/15 - 124\/(-10). Is 7 a factor of v(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(1\/6)\/(t\/(t*t*t\/(t*t\/t**(-1\/4)))*t))\/(t**(2\/3)\/t)**(-9))**(-12\/7))**(-20) assuming t is positive.\nAnswer: t**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7 * 0.10465.\nAnswer: -0.177905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*p - 30, -5*p + p = -b - 59. Let y be (-11 - 2)*(p\/4 + -3). What is the second smallest value in 4, 0.2, -1\/3, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7 - -0.0102981.\nAnswer: 2.7102981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.4 - -1. Suppose -3*q = -4*w + 23, -2*q + 4*q + 2 = -4*w. What is the second smallest value in w, 3, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (-25 - -20) + 17\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/8 (b) -5\/4 (c) -0.2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 31. Suppose x = 3*q - 2*x + u, -26 = -3*q - 4*x. Let v(r) = 8*r**2 - 1 - q*r**2 - 5*r - 5*r**2. Determine v(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puc when three letters picked without replacement from {l: 5, p: 1, e: 2, y: 3, c: 1, u: 1}.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -248*n + 12. Let t(p) = -1111*p + 48. Calculate 9*c(s) - 2*t(s).\nAnswer: -10*s + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*q = 60, -9*f = -4*f + q + 80. Let p(x) = -2*x**3 - 19*x**2 + 18*x - 15. Let d be p(f). What is d rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8608a9 (base 15) to base 14.\nAnswer: -bc148d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (6 + -5) - 6) + 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -290.1 + 290. Let z = 28 - 0. Let x = -28.76 + z. Are y and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2050 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.6 + 13.265. What is q rounded to 2 decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/3*-12 - (5 + 18\/(-9)). Which is the third biggest value? (a) q (b) -0.1 (c) -1\/3 (d) 154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.60143 to one decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -27*l - 258. Calculate p(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*((sqrt(700)*-1*-3)**2 + -5 + (-1 + sqrt(700) + sqrt(700))**2)*-5 + -4)*2.\nAnswer: -2400*sqrt(7) + 545752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1448 and 10?\nAnswer: 7240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = 10*c + 41. Let t = c + 16. Let y(d) = -t + 124*d**2 - 151*d**2 + 3. Let r(u) = -3*u**2. Calculate r(y(k)).\nAnswer: -2187*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**5 - 80*z**4 + 1753*z**3 - 6158*z**2 + 7372*z - 2888 = 0.\nAnswer: 1, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -s + s + s + (-3 + 3 - 5*s)*(0 - 1 + 4) in the form v + k*s and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(99)\/sqrt(3) - sqrt(33))*4)\/(-4*sqrt(33)\/sqrt(3)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100302 (base 4) in base 7?\nAnswer: 21034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide ((-26)\/6)\/((-86)\/456144)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (10 + -89) - 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -16.65. Let p = c + -1.53. What is p rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 34. Find the common denominator of 1\/((-54)\/i) - -3 and -109\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h**3 + 5*h**2 - 6*h - 23. Let p(w) = -w**2 + w - 1. Let d(n) = 2*m(n) + 10*p(n). What is the derivative of d(z) wrt z?\nAnswer: 36*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 406 = -6*n + 2*n, 0 = 2*m - 4*n - 172. Is 34 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 444 and 20.539.\nAnswer: 464.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 56, 1\/7, 0.1, -5, 2\/3, -3, 0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 6*w - 2. Let g be k(4). Let c be (-2)\/g + (-18692)\/(-6). Suppose c = 5*l - 0*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 7 (b) 9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2833\/6 - -495. Calculate the common denominator of 48\/23 and o.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1086 by -6.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 91. Let t = 124 + r. What is the remainder when t is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - z**2 + 3. Let f(a) = -3*a**3 + a**2 + 2*a + 8. Let b(d) = f(d) - 2*u(d). What is b(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 733*v**3 - 2*v**2 - 6*v + 28. Let p be s(4). Suppose -10*g + p = 2*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5 = 3. Suppose -90 = f*j - 2. Let y = j - -83. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11293*n**3 - 6*n**2 + 3*n + 142. Let d(y) = -3764*y**3 + 2*y**2 - 48. Let s(b) = -8*d(b) - 3*w(b). Find the second derivative of s(u) wrt u.\nAnswer: -22602*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 9:00 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) - 4*sqrt(450))\/((sqrt(300)\/sqrt(5))\/sqrt(6)).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 4*w**2 + 5*w + 5. Let z be n(-5). Suppose 0*l - 10 = -z*l. Suppose -l*h - 36 = -6*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 0*o + 2*o**3 - 5*o**2 - 3*o**3 + 5*o. Let g be z(-6). What is the lowest common multiple of 1 and 10\/g + (-20)\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36634 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1\/3))**(2\/93)\/(k*((k\/(k*k*(k\/(k**(-3)\/k))\/k*k*k)*k)\/k)\/k*((k*k**(-4)\/k)\/k)\/k))**(-7\/9) assuming k is positive.\nAnswer: k**(-25445\/2511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c**3\/13 - 2166*c**2\/13 - 250716*c\/13 - 71456\/13 = 0 for c.\nAnswer: -77, -2\/7, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 732031587 or 732031586?\nAnswer: 732031587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*x + 67*x + 3*x**3 + 3 - 30*x to the form p*x**2 + y*x + v*x**3 + c and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(5\/(-4))\/(-1) + -3. Solve -3*n + 10 = q*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 27 = 3*c, w + 3*c = 4*c + 13. Let h = 13 + w. Let r = h + 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-333)\/45 + 9\/(-15). List the prime factors of 2 - (-4)\/(-6)*6276\/k.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**3\/6 - 4*b**2 - 66*b - 77. Let y(t) be the first derivative of d(t). What is y(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(5\/2))\/(228\/(-570))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4, -36, 0 in descending order.\nAnswer: 4, 0.4, 0, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u = 125, 31 = 278863*q - 278859*q + 5*u for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2850 by -38.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*p - 3699*p = 952*p - 217293 - 13125 for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -112\/3. Let p = 162 - 110. Let f = 51.9 - p. Which is the closest to f? (a) 1 (b) l (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -507 + 239. Let q = -241 - u. Calculate the greatest common factor of q and 180.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234943 is divided by 2080.\nAnswer: 1983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 943*p**4 + 130752*p**2 + 2168215*p - 15 wrt p.\nAnswer: 11316*p**2 + 261504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - -1 - 1 - 1. Suppose 1368 = b*v - 6*q + 11*q, -2*v = -q - 670. List the prime factors of v.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*f**3 + 60865*f**2 - 10*f**3 - 60865*f**2.\nAnswer: -29*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 d when three letters picked without replacement from {t: 8, d: 2, a: 8}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1004879 != -1004878?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21, -1, -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2421 + 405 = -119*l - 30. Let f be (75\/12)\/((-3)\/12). Is f >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 3. Suppose -10 = -3*o + x*w + 38, -4*o + 64 = 5*w. Suppose 4*s + o = 0, -v + 4*s = -6*v + 159. Calculate the greatest common divisor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 + 2*j + 16. Let b(q) = 3. Give 5*b(s) - v(s).\nAnswer: -2*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 86*t + 83*t + 2.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4*b\/(b\/(b*b**(-2\/15))))\/(b\/b**(-2\/9)*(b*b**(-2\/11))\/b) assuming b is positive.\nAnswer: b**(1894\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*l - 64*l - 735 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 42 + 218 = 18*g. What is the highest common divisor of g and 3860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6349 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1332\/45 + (-2)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*j + 6*j - 6*j)*(-1 + 3 - 3) - j + 0*j + 0*j - 7 - 45*j + 7*j + 7 to the form k + w*j and give w.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggg. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*g - 279*g = 15, -36*a + 4*g + 0*g = 744 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3527 - -0.0573. Let o = y + -6.41. Which is the second biggest value? (a) 2 (b) -2 (c) o (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-184)\/5796 - (-79382)\/63.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 15*w + 261. Suppose 5*t - 5*f + 60 = 0, -3*t + t = 2*f + 44. Let b be r(t). Let y = 12 + -8. Solve -3*s = y*a + 13, a = -s - b + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179318845?\nAnswer: 5, 2677, 13397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + 21021?\nAnswer: 21122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7055630?\nAnswer: 2, 5, 613, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 46*c**2 + 0*c**2 + 60*c**2 + 8*c**2.\nAnswer: 111*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4486735858?\nAnswer: 2, 11, 203942539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/358489?\nAnswer: 6\/358489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 3*c + 63, -27 = -431*b + 427*b - c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 254?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1953.25 from -0.289.\nAnswer: -1953.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 9*j**3 + 2*j - 4. Let k be x(2). Let i = k - -93. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g**2 - 2*g + 1. Calculate the remainder when y(1) is divided by (5\/(50\/4))\/(8\/40).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -515.645*-31\nAnswer: 15984.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2. Let u(r) be the first derivative of 1 + 0*r**2 + 1\/3*r**3 + 0*r. Calculate u(a(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -59180927 greater than -59180925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/12*((-10)\/(-4) + -1). Suppose 5*q - 3*c + c = 199, 38 = q - c. Calculate the remainder when q is divided by 3 + 7 + 1 + z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 525112 and -0.919.\nAnswer: 525111.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 149*z**5 + 62*z**4 + 11183*z - 1 wrt z.\nAnswer: 2980*z**3 + 744*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/314 and 35\/22.\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 3. Let m be (4 - 3)*-1*-2. Suppose m*v = v. What is the units digit of w(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -20. Let v be (-1)\/((-2)\/(-4 - s)). What is the tens digit of ((-1)\/v)\/(5\/960)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m**4\/5 - 58*m**3 - 2184*m**2\/5 + 5202*m\/5 + 5616 = 0 for m.\nAnswer: -24, -13, -3, 15\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*f**3 - 393*f**2 + 255*f + 129 = 0. Calculate f.\nAnswer: -1\/3, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**5\/4 + 47*t**4\/4 + 635*t**3\/4 + 2545*t**2\/4 - 159*t - 648 = 0. Calculate t.\nAnswer: -27, -12, -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.057797 - 0.07.\nAnswer: -0.127797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 382.149l?\nAnswer: 382149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.053 (b) 1\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144724002?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 130.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 2*p**2 + 1. Let t be 27\/6*4\/6. What is the units digit of f(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3849939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (385\/(-21175))\/(-2*2\/20)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34 + -30 + 34 + -34. Let u(h) = -h**3 + h**2 - h + 1. Let i be u(1). Let m = 2 - i. Solve m*l + 2 = 2*x - 12, 0 = -y*l - 5*x + 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmfmmhmeme. Give prob of picking 1 x and 1 e.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25918.\nAnswer: 2, 12959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -1001200101?\nAnswer: -1001200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 12:59 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -2\/13 (c) 3.5 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 638*a + 8944. Determine y(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*m - m + 13)*(-4*m + 8*m + 4*m).\nAnswer: 8*m**2 + 64*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 21) + -178 + 193\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -42. Let m(j) = 8*j**2 + 13*j - 28. Let w be m(t). Suppose 2197 - w = -b. What is b rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 48. Let f = 1 - -1. Let a = f - 6. What is the smallest value in -0.3, c, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - 98. Let s = -40 - n. What is the closest to -3 in 0.4, s, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 6 - (-110 - -125) - (1 - 26)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 4:40 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 1. Let c be z(0). Put -3, c, -2.6 in ascending order.\nAnswer: -3, -2.6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2632736, 2632721, 2632682, 2632607, 2632484, 2632301, 2632046?\n\"Answer: -2*k**3 - k + 2632739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09 - 0.08. Let m = -3.81 + u. Let d = 1.6 - m. What is d rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-54710)\/(-12) + 16 + 2425\/(-150)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.23 - -0.07. Let t(g) = 2*g**2 + 11*g - 46. Let k be t(3). Which is the nearest to 2\/7? (a) k (b) o (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 1. Let h(t) = -12*t**2 - 43*t + 5. Calculate h(o) + 5*p(o).\nAnswer: -7*o**2 - 43*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = w - 3*f, 5*w + f - 7 = 18. Let d be 2\/(-2) - (-1 - 6). Suppose -d = -w*i + 4*i. Solve 4*c + 1 = -i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -141*c**7\/70 + 21*c**5\/20 - c**4\/4 - 934*c**2. Find the third derivative of x(q) wrt q.\nAnswer: -10152*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/40 and 7\/2712.\nAnswer: 13560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(216)*1 - sqrt(216))\/(-6*sqrt(27)\/sqrt(3)))\/(sqrt(64)\/(sqrt(162) - -3*sqrt(162))).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10855?\nAnswer: 5, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277*d + 95441 = 3*i - 279*d, -i + 5*d = -31818. List the prime factors of i.\nAnswer: 29, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30063, 29961, 29889, 29847, 29835, 29853, 29901?\nAnswer: 29979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.213 and 3?\nAnswer: 0.639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 d when three letters picked without replacement from {t: 3, d: 2, p: 3, m: 4}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 8*s**2 - 10*s + 11. Let f be t(9). Suppose f*j - 1 = j. Which is the second smallest value? (a) 0.1 (b) j (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2538 and 1128.\nAnswer: 10152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112025 is divided by 37296.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w + 2*w + (1 + 4 - 4)*(3*w - w + 0*w) + 0*w - w + 3*w)*(3*w - 2*w - 3*w + 2).\nAnswer: -12*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 3106773\nAnswer: -9320319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3ea - 10c?\nAnswer: -4f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.3. Suppose -6 = -3*b - 3*b. Is b not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, -33, -144, -363, -726, -1269?\n\"Answer: -6*x**3 + 3*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/5, 531.2, -1\/7?\nAnswer: 531.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**7\/2520 - l**6\/240 - l**4\/3 - 4*l. Let r(q) be the third derivative of n(q). Find the second derivative of r(b) wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00034165 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.21 (b) 19\/4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**5\/60 - 17*q**4\/24 + 4*q**3\/3 + 4709*q**2. What is h(-15)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4 = 4. Let g = -16 + 25. Find the third derivative of -2 + j + 74*i**2 - g*i**4 - 69*i**2 wrt i.\nAnswer: -216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 110*((-9)\/6 - -2). Suppose 4*z - f = 2*s + 47, 120 = 5*z - s. What is the greatest common divisor of 253 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 1. Let u be k(3). Let w = u - 5. Put -3, w, 2 in decreasing order.\nAnswer: 2, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 10:13 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + l + 569*h - 572*h = -10, -8*h = -4*l - 36 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d - 4, 0 = -5*n + 5*d. Suppose 0 = -n*f + 4*u - u + 27, 3*u = -3*f + 36. What is the greatest common factor of f and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-25 - -47) - 2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**6\/180 - f**5\/10 + 3*f**4\/4 + f**3\/2 - 6*f**2. Let t(l) be the first derivative of m(l). Factor t(y).\nAnswer: 2*(y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 84 = 8033766*h - 8033761*h, 3*w - 6*h + 99 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243411 and 1903?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 17*l**2 + 3487*l - 984. Give s(51).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*b**3 + 30*b**3 + 73*b**3 + (-3*b**2 - 2*b**2 + 6*b**2)*(b - 5*b + 2*b).\nAnswer: 127*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 550119830?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1326\/12)\/((-6)\/12). Which is bigger: -222 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 - (2 + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p. Let q(l) = 2*l**2 - l - 1. Let d(k) = -295*k**2 - 10*k - 6. Let o(t) = -d(t) + 6*q(t). Let v(j) = -4*m(j) - o(j). Let y(s) = s. Give v(y(r)).\nAnswer: -307*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**4\/12 - 9*s**2. Let w(d) = 56*d**2. Calculate w(t(b)).\nAnswer: 224*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (2 + 3 - ((5 - -4) + -10)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*i + 17 - 6, -3*f - 22 = 2*i. Let k be (f\/(-6))\/(5\/(-30)). Put 1, -2, k, 0 in descending order.\nAnswer: 1, 0, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)*g**(-5))\/(g**(-1\/2)\/g*g*g\/g**(-5))*(g**0*g**6)\/((g\/(g\/(g\/((g**(-1)\/g)\/g))))\/g)**(-4\/21) assuming g is positive.\nAnswer: g**(-151\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*g = -2, 0 = -4*b - 2*g + 17 + 7. Suppose x + 2*s = b*s + 89, -x = 3*s - 59. Is 31 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -381 + 391. Calculate the lowest common multiple of c and (-8)\/(-3)*(-15)\/(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286, -521, -710, -853, -950, -1001?\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2565188*f - 2565188*f - 5*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -9*n + 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 9 + i + 1 - 2*i. Let x = 106 - 113. Give m(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 15, d: 3}. What is prob of sequence aadd?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1 - l + 2*l + 0*l + l**2. Let b = -505 - -504. Let y(z) = z**2 + 5*z + 4. Calculate b*y(q) + 2*s(q).\nAnswer: q**2 - 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 74\/5 of a centimeter?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 473838811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1264, -5277, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.78 (b) -2\/5 (c) 4 (d) -0.5 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 56. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*r, 0*j + 5*r - 8 = 3*j. Calculate the remainder when ((-9)\/6)\/1*(-656)\/24 is divided by j\/3 - 86\/(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 4:00 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**2 + o. Let j(a) = a**2 + 3*a - 3. Let l be j(-4). Give t(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3*h**3*w - 20709973*g**3*h**3 + 4*g**3*h*w + 34*g**2*h*w - g**2*h + 777*g*h*w - 2*g*h + 2*w wrt h.\nAnswer: 6*g**3*h*w - 124259838*g**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11516000 rounded to the nearest 100000?\nAnswer: -11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 66 - 54. Suppose -s*l = -4*k + 360, k - l + 94 = 2*k. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5269 and 20118?\nAnswer: 221298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2383069 - -27\nAnswer: -2383042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -30, -30, -28?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(6) + 1)**2 + sqrt(13) + (1*sqrt(468))**2 - ((sqrt(13) + sqrt(52)*-6)**2 + (5*(sqrt(13) - sqrt(468)))**2).\nAnswer: -9216 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 3, 6, -386?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15859 + 15864. Solve 25*m - 27*m + 5*p + 12 = 0, -g*m = 2*p + 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4691843 is divided by 1208?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 3 (c) 0 (d) 8 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43*x**2 - 9*x - 40*x**2 + 412 - 3*x wrt x?\nAnswer: 6*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l + 3 - 3)*(-4 + 1 + 1) - 4*l - 6*l + 6*l as d*l + r and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 190889 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 274 + -a06?\nAnswer: -752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k. List the prime factors of n(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5*p = p + 38, 3*g - 2*p = 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*c + 102 = 0, -56 = -3*p - 0*p - 4*c. Let n(r) = 5*r - 5. Let h be n(5). Is p < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t - 3*t = -12 + 237 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14065386 + 8056467 = 3*c. Let j = -4273954 + c. Suppose -j = 5*b - k, -3*k - 620012 = b + k. Round b to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-5 + 1 + 13 - (-3 - -9)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40901796.\nAnswer: 2, 3, 13, 17, 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3849\/64 - 121\/64. Let t = z - 58. Let u = -49 + 53. Which is the third biggest value? (a) -0.2 (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b - 3 = 3*o + 22*b, 3 = o + 2*b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/154*(-14)\/35.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**6\/6 + 79*j**5 + 41605*j**4\/4 - 790*j**3\/3 - 62410*j**2 - 1349*j. Factor y(g).\nAnswer: 5*(g - 1)*(g + 1)*(g + 158)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37690 is divided by 12453?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640) - (sqrt(40)*-1 - sqrt(10)))\/(sqrt(180)*-2 - (sqrt(320) + 1*sqrt(320) + sqrt(320))).\nAnswer: -11*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -103, -35, 55, 179, 349?\n\"Answer: 2*j**3 - j**2 + 57*j - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4 - 11. Sort q, 3, -1.\nAnswer: -1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -679 - -29?\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etjjt. Give prob of picking 1 e and 2 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 1.2755?\nAnswer: -2.7245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 337151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 15.6. Let w = 0.2 + m. Let n = w - -1.3. Which is the closest to n? (a) -0.2 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.37 times 112.41505\nAnswer: 41.5935685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1078 is divided by 68?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 265 divided by 53.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 22 - -10 - 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/(-50))\/(9\/(-6)). Let l(v) be the first derivative of 0*v**4 + 0*v + 1\/2*v**2 - c*v**5 + 0*v**3 + 3. What is the second derivative of l(d) wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**3 + 335*i**2 - 3*i + 5. Let m(c) = -5*c**3 + 329*c**2 - 4*c + 7. Determine 3*m(h) - 4*x(h).\nAnswer: h**3 - 353*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72964 + 18*s + 0*s - 145929 + s + 72965.\nAnswer: 19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -229, -432, -645, -874, -1125, -1404, -1717, -2070?\n\"Answer: -b**3 + b**2 - 199*b - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 0 - j**2 - j - 5\/6*j**3. List the prime factors of p(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/75*-5)\/((-3)\/(-12)*9\/108).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 529*d - 107555. Let r be u(204). Suppose -761 = -2*m - 39. Are r and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -82 + 81. Let q be r\/(5 + -4)*0\/(-3). Is -3\/86 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*u = -950, -3*t + 558 = -0*t + u. Suppose x = 5*i - 93 - t, 5*x = -5*i + 310. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 70*t**2 - t - 288. Give b(-70).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 4:23 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2157*g + 2113*g. What is the closest to 2.7 in 2\/9, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2751595?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 7*s**2 + 13*s - 10. Give i(8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56501 or -3.7?\nAnswer: 56501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 73 - 35 = -2*g, 279*g = 59*g - 2*m - 292 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11555 * -0.82.\nAnswer: 9475.1","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 5406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1320 - 1210 - 56*j - 1438 + 1328.\nAnswer: -56*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 9*b + 35*b - 43*b = 21, -3*a + 5*b = 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 5*i**4\/12 - i**3\/2 + 8*i**2. What is the first derivative of t(y) wrt y?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2977 - 2953) + (1 - -7).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times 9?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - q + 6. Suppose -d - 20 = -3*h + 3, 4*d - h + 48 = 0. Let s = d - -16. Let f = s - 5. Calculate a(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eedddyyd. Give prob of picking 2 y, 1 d, and 1 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 798 and 456.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6723557 rounded to one dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 37, 6511, -3 in decreasing order.\nAnswer: 6511, 37, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 297*z**2 - 88. Let g(s) = 17*s**2 - 5. Let f(h) = 88*g(h) - 5*w(h). Let k(i) be the second derivative of -i**4\/12 - 7*i - 21. Calculate k(f(r)).\nAnswer: -121*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 5 (c) -0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 33, -145, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/((-2)\/5*42\/(-896)*-40).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 divided by -3?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.001 (b) 3 (c) -2\/15 (d) 18\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9396 and 196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -108.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13445 (base 6) to base 11.\nAnswer: 1655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/((-3)\/(-3)) + 4)\/1. Let m(b) be the second derivative of 0 + 0*b**2 - 1\/8*b**4 - 2*b + 3\/4*b**c. Factor m(v).\nAnswer: -3*v*(v - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 480*g**5 - 1279*g**2 wrt g.\nAnswer: 28800*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 551*i**2. Let v(g) = 5*g**2. Calculate v(m(b)).\nAnswer: 1518005*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*(sqrt(27) + 0)*-2.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Put 1, 4\/5, z in decreasing order.\nAnswer: z, 1, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + q**2 + q - 1720000. Let r be n(0). What is r rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313 - 74 = 174*r + 135 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**2 + 202. Let i(f) = 4468247*f**2 + 2*f - 4468233*f**2 - 2*f. Give l(i(m)).\nAnswer: -588*m**4 + 202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/2)\/(-2 + 3). Suppose 7 = z*i + 2, -4*v + 44 = 4*i. What is the tens digit of v*(78\/4 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46060)\/8225*5\/(-119)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 15 = -67 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.951022ml?\nAnswer: 0.008951022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 123 - (-4 + 3)*2. Suppose 0 = -2*n - 5*f + 3 + 2, -3*n - 3 = -3*f. Suppose -3*j + 34 + w = n. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20203)\/15 + 12\/(-90). Let l = -122579\/91 - i. Let f = l - 85\/273. What is the nearest to 0 in -1\/6, f, 0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (40\/25)\/(2\/5). Suppose r - 70 = -q*r. Suppose -r = -j - 4. Calculate the greatest common factor of j and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82292471 is divided by 3356?\nAnswer: 3351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 903648 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 432, 832, 1052, 1002, 592, -268, -1668?\nAnswer: -3698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**5\/2 + 333*w**4\/2 - 12321*w**3\/2 + 151959*w**2\/2 = 0.\nAnswer: 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27664 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13061 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1100148.39 + -0.4.\nAnswer: 1100147.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 240426 a multiple of 666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 + -333. Let m = j - -278. Solve m*t = -0*t + 2*n - 6, -5*t - 3*n = -20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-5\/4))**(5\/4) assuming u is positive.\nAnswer: u**(45\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, a: 8, u: 2}. What is prob of picking 1 r, 2 u, and 1 a?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 27*l - 125. What is q(4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1163285055?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*d + 26*d + 5*d - d as s + m*d and give m.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -77*g**2 + 1860*g - 2216. What is u(23)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2\/15, -16, 1\/3, -1\/26?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11766 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1a8 (base 16) to base 7\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -23025, -14 in descending order.\nAnswer: 7, -14, -23025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + 14)*(-47)\/(-3). Let b = 326 - u. What is the highest common divisor of b and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.40818 - 0.388. Round a to 3 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*q + 12. Is (1 + (-12)\/q)*-3793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 11*c**2 - 38*c + 289. Calculate f(5).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**2 + 3*r**2 - 2*r**2)*(-2*r + 3*r - 2*r) - 2*r - 3*r**3 + 8261572 + 0*r**3 - 21*r**2 - 8261565 to a*r**2 + i + p*r**3 + c*r and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/7)\/s*s**(-1\/5)*(s**0)**3 assuming s is positive.\nAnswer: s**(-32\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 118\/47775 and -64\/325?\nAnswer: 47775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 9504?\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -471, -0.3 in descending order.\nAnswer: 5, -0.3, -4, -471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k. Let v(a) = 37*a + 9. Give 5*b(q) - v(q).\nAnswer: -32*q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 7*f + 5. Let g(d) = d - 27. Let s be g(26). Sort -3, 2, s, f in increasing order.\nAnswer: f, -3, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82122 is divided by 740.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 142, 533, 1188, 2107?\n\"Answer: 132*f**2 - 5*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.552 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132192677 is divided by 10168666?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.08 (b) -6471 (c) -0.057 (d) -1\/6 (e) 1 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 228? (a) 8\/9 (b) -1 (c) 91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 36*c - 7. Let g(i) = -3*i**2 + 36*i - 13. Determine 4*d(x) - 3*g(x).\nAnswer: 5*x**2 + 36*x + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 0) + (-32)\/8. Let k be f\/(-95)*50\/30. Which is the second smallest value? (a) k (b) -2\/7 (c) -4 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0 + -4 + 2 + (-9 - -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, -27775, -4 in increasing order.\nAnswer: -27775, -98, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -955, -954, -953?\n\"Answer: s - 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 - 3*i - 4. Let n(q) = -7*q**2 + 7*q + 4. Let r(w) = -7*w**2 + 7*w + 3. Let m(o) = 6*n(o) - 5*r(o). Let z(g) = 9*a(g) + 4*m(g). Factor z(y).\nAnswer: -y*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 - -144. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 265645207?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*i + 86*i - 342*i**2 - 73*i**2.\nAnswer: -415*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*(-4)\/((-16)\/(-6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76 or 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -60. Let h be (9\/6)\/(1\/58). Let o = a + h. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -273*o + 94*o + 62*o + 83*o. Let i(f) = -16*f. What is l(i(x))?\nAnswer: 544*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040045ug in nanograms?\nAnswer: 4.0045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*g - 24 - 119*g**2 + 115*g**2 + 34*g.\nAnswer: -4*(g - 6)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-1\/5))*f**1)\/(f*f**(-2\/5)*f*f*f*f**5)*(f**(1\/4))**49*f**(2\/25)\/f*f*f*f**6 assuming f is positive.\nAnswer: f**(1193\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20463435 to the power of 1\/2, to the nearest integer?\nAnswer: 4524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 274766 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*g**3\/3 + 76*g**2\/3 - 158*g + 12.\nAnswer: 2*(g - 3)*(g + 6)*(13*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2805.1122 to the nearest ten.\nAnswer: -2810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**3 - 2*b**2 + 0*b**3 + b**3 + (0 - 1 + 3)*(-2*b**2 + 2*b**3 + 2*b**2) as k*b + x*b**2 + m + g*b**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 7*h**2 - 9*h**2 + 0 + 1 + h - h + h**2 + (3 - 2 + 1)*(-h**2 + 0*h**2 - h**2) - 1 - 2*h**2 + 1.\nAnswer: -7*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -295 by -59.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 4*m - 32 = 0, 4238*m = -3*j + 4233*m + 32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7599*q = 8072*q + 4257 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2 - (-12)\/8. Suppose -3*h + d*z + 46 = -0*z, 3*z = -4*h + 33. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (11 + -10) - 21.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8165\/497 + 12\/21?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.02 (b) 0.1 (c) -4 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f + 2. Give u(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 461 - 443. Solve -y*k = -31*k - 13 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/9 - 6232*g\/3 + 1223690\/9.\nAnswer: -2*(g - 65)*(g + 9413)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 6:17 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 - 17 + 5*p**4)*(-3 + 4 - 3) + p**4 - 2*p**4 - 3*p**4 + (p**2 - p**3 - p**2)*(-25*p + 7*p - p) to n*p**3 + o*p + r + m*p**4 + u*p**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7690228 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 (base 12) in base 11?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6632296*s**5 + 15020*s + 126 wrt s?\nAnswer: -132645920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.6 - 0.2.\nAnswer: -24.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*a + 4 = 0. Suppose a*j + 3*v + 16 = 0, 2*j + 5*v = -19 - 5. Let b be -4 - j\/(2\/7). Solve -4 = b*i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7841029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9853811 years?\nAnswer: 11.8245732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 6. Suppose 0 = -3*i - 4*q + 24, 2*i - 1 + 8 = 5*q. Suppose 0*w + i*w = -20. What is d(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 20 = -3*d. Let v = d - -13. Let j be (-2)\/(-3) + (-98)\/v. Sort j, 5, -2 in decreasing order.\nAnswer: 5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 3:46 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46.5 + 2182.9. Let k = -2136 + j. Let z = 0 + 19. Which is the nearest to 1? (a) z (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 1)\/(-10) - (-63)\/(-18900)*60. What is the closest to 7\/4 in 0.1, g, -0.52?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 159*l - 2 + 607*l - 347*l + 572*l - 2 to b*l + f and give b.\nAnswer: 991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 54*u + 58 + 2432 = 34*u for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(171) + 3 + sqrt(171))*-2.\nAnswer: 36 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -324 + 328.61. Let g = -0.0943 + 0.4843. Let c = i + g. What is the third biggest value in -3\/2, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128 - 124. Suppose 3*n - 28 = -4*h + u, -15 = -5*n + h. Solve -7*m - 11 = -n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -3342?\nAnswer: -3340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4 = -3*r + 4*q, 8 = 3*r - 5*q. What is the remainder when 2 - (180\/(-3) - r) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) -9 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34243 + 58593. Find the common denominator of (-8)\/10 - j\/(-15750) and -125\/66.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101000111010011100 + -10?\nAnswer: -10101000111010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2964 + -0.2963944. What is j rounded to 7 decimal places?\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**7\/840 + i**6\/360 - 5*i**4\/12 - 50*i**3\/3 - 85*i**2. Let o(u) be the first derivative of a(u). Calculate o(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by (-1 + -19)\/(-6 - -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 18 = -a, -2*a + 7*s = -0*a + 40 - 86 + 79 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*c + 884, 0 = -4*c + o + 2*o + 912. Calculate the greatest common divisor of c and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5319697 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + w = 10, 0*w - w = -2*p + 4. Suppose u - p*u = 5. Let n be -2 - (1 + 17\/u). Sort -5, n, -0.5 in ascending order.\nAnswer: -5, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 0 - m - 14 + 41 + 0 - 11. What is s(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**3 - f**3 + 4*f**3 + (2 - 5 + 1)*(-f**3 + 2*f**2 - 2*f**2) + (5 - 5 - f)*(-2*f**2 - 3 + 3) + 5*f**3 - 3*f**3 - 3*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 + -61. Suppose -g + 3*j - 4*j = 0, 0 = 5*g + 2*j - q. Suppose 25 = 4*i + g*a - 19, 0 = -i - 2*a + 11. Is i equal to 49\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/1 - 0 - -20. Suppose m - j + 5 = 0. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o + 1. Calculate q(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127589?\nAnswer: 7, 11, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -18. Suppose 0 = r - 2*h - 3, -2*h = -0*r + r + w. Let u(f) = 4*f. Give u(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 79 = 4*h, 3*h = -8 + 23. What is the first derivative of v - 68 + 67*s + 42 wrt s?\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 15 = 2*o - 3, 0 = -o - 4*i + 13. Suppose 2*a + 5*l = a + 52, l - 140 = -o*a. What is the highest common factor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**4 - 87*g**3 - 603*g**2 - 933*g - 420 = 0. Calculate g.\nAnswer: -4, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-118218)\/(-610))\/((-2)\/(-120)) a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 291 or 204?\nAnswer: 291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12 - 16*g**4 - 693*g**3 + 693*g**3 wrt g.\nAnswer: -64*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1057 and 3475567?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = d - 28, -5*z = 2*d - 3*z - 32. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -1, -3, 72, 146 in ascending order.\nAnswer: -4, -3, -1, 2, 72, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -664, 0.5, 5 in ascending order.\nAnswer: -664, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-14 - -2)*1\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-60))\/(((-12)\/5)\/(-4))*3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12941947 to the nearest integer?\nAnswer: 3597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1852, 3704, 5556?\n\"Answer: 1852*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 4*x + 2. Let p be m(3). What is the common denominator of -55\/68 and -2 + 3*p + 59\/6?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 5*y**2 - 8 + 15 - 13 - y - y**4 in the form p*y**4 + l*y + s*y**3 + a*y**2 + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a2908 + a?\nAnswer: a2917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -31*g + 327. What is the lowest common multiple of c(9) and 54?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/248 and 13\/713.\nAnswer: 5704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 6*n**5 - 7*n**4 - 4*n**3 + 7*n**2 - 2*n = 0.\nAnswer: -1, 0, 1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/11, 4, -1\/153 in increasing order.\nAnswer: -2\/11, -1\/153, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f - 124 = -49*f + 35*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 617252.51 rounded to the nearest 1000?\nAnswer: 617000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 5*r**2 + 18*r + 96. Let n be u(-5). Let w(y) = 3*y**2 - 3*y. Let a be w(2). Suppose -h = -a*h + 15. Solve -h*f = -n - 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(931)*-1.\nAnswer: -7*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.2 + 4.37. Let x = 0.23 + g. What is the biggest value in -4, x, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14617 - 55599\/4. Which is smaller: j or 718?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005255 to five dps.\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**4\/11 + 26668*r**3\/11 - 587622*r**2\/11 + 560952*r\/11 = 0.\nAnswer: -13356, 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 6 = 4*s. Suppose s*f + y - 76 = 0, -f + y - 16 = -36. Suppose -2 = x - f. Calculate the highest common factor of x and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/(-14))\/((-2)\/32). Let f = 0 - x. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(19) + 2 - sqrt(19)) - (-2 + (sqrt(19) - 3*sqrt(19))))*1.\nAnswer: -2 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(6\/9)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -936*g + 942*g - 24 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 4 (c) 2\/11 (d) 32229\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(71*164\/253257)?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rad when three letters picked without replacement from vpvdavddfvrv.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -564462, -1128922, -1693382, -2257842, -2822302, -3386762?\nAnswer: -3951222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -1\/12*p**4 + 1\/10*p**5 + 0 - 29*p - 1\/6*p**3 + p**2. What is l(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.018455 and -41 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97.5 + -98. What is the third smallest value in 0.06, -3, y?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 7:03 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-153)\/(-5) + 2\/5 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10) - 24\/(-15). Suppose -2*t + 236 = i*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z. Let f(b) = -b**3 - 4*b**2 - 5*b - 3. Let k be f(-3). Suppose -5*t + 3 = -7. Suppose k*w - t*w = -5*p - 15, 4*p - 7 = 3*w. What is v(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 230 - -6?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1486172590 to the nearest integer?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639473 is divided by 213073?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**6\/10 - 111*a**5\/2 - 5312*a**2 + 5926*a. Find the first derivative of j(x) wrt x.\nAnswer: 12*x**3 - 3330*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007036075 rounded to six dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 972, 4, 4\/5, 0.003, 5?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -37*c - 9. Let y(v) = 70*v + 17. Determine -5*y(g) - 9*z(g).\nAnswer: -17*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 900634 and 644?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4*v + 9 = 0, 2*v = -5 - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + 4 + 5 + -1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/45 - (-15159)\/1395.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 19*w + 40756 = 0. Is 1774 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**6\/120 - i**5\/15 + i**4\/12 - 2*i**3\/3 - i**2. Suppose 1 - 5 = 2*l. Let j = 6 + l. What is q(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 5*t**2 + t + 4. Let f(s) = s**3 - s**2 + s. Let k(d) = 2*f(d) - r(d). Suppose 2*q = -x - 5, 10*x + 5*q + 20 = 5*x. Determine k(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**4\/12 + n**3\/6 + n**2\/2 + n - 6. Let t(u) = u + 2 - 2 + u**2. What is 3*t(c) - 2*y(c)?\nAnswer: c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - w**2 + 2*w + 2. Let x be z(-2). What is the tens digit of (-445)\/(-35) + (-4)\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 1.46?\nAnswer: -0.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/23412 and -149\/18?\nAnswer: 70236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 1. Let u(o) = 5*o**2 + o. Let l = 52 - 36. Suppose 72*t = 76*t + l. Let b(g) = t*p(g) - u(g). Determine b(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, r: 1, f: 3, c: 1, j: 1, n: 3}. Give prob of sequence cnf.\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onl when three letters picked without replacement from {o: 6, q: 4, m: 1, a: 1, l: 2, n: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y - 4. Let m be o(-4). Let t = m + -3. Let b be -3*(-6)\/4*(-4 - -10). Calculate the highest common divisor of t and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 3*x**2 - x**2 - 3*x + 2*x**2 - 7*x**2 - 4. Let l = 318 + -321. Determine n(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 6:26 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3301736, 3301734, 3301732, 3301730?\nAnswer: 3301728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 30 = 4*r, 9 = -2*t - 5*r + 4*r. Is 12 a factor of (-23 - -173) + t\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m + 13. Let t(b) = -13*b + 27. Let c(v) = -7*h(v) + 3*t(v). Let q be c(5). Put 1, 14, q, 4 in descending order.\nAnswer: 14, q, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = 6*w - 140. Let k(d) be the first derivative of 1\/4*d**4 + d + 2 - 1\/3*d**3 + 0*d**2. What is k(w)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 7*m**2 + 28*m - 14. What is i(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 6*i**2 - 8*i + 2. Let d be o(4). Solve -5*u + d = -3, -2*l + 5*u = 13 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2739*r**2 + 5*r - 3. Let b be y(-5). Let i = 111547 - b. What is i rounded to the nearest one thousand?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4425876 by -3.\nAnswer: 1475292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-27)\/(-90)*2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 - (-1 + (-3 - -3))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 13. Let z be (-3)\/(-1) - (-772)\/(-5). Let i = z + 152. What is the second smallest value in n, i, -2\/13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/392*28)\/(1*(-32)\/(-42))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56387724 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.8, -14\/13, -3\/4, 2\/25, 0.51, 0.2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37698, -38021, -38556, -39303, -40262, -41433, -42816?\nAnswer: -44411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321879 a multiple of 966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 6 = -2*q, 2*i - 4*i = -2*q + 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (63\/18)\/((-2)\/(-4)). Solve -3*p + q + 2 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 12:03 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7724074925284*d**3 - 671994529616596*d**2 - 967169260*d - 348 = 0. Calculate d.\nAnswer: -87, -1\/1389611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 145952 to the power of 1\/2, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -125094098*m**2 - 67092344 wrt m.\nAnswer: -250188196*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 153*h - 214*h + 366. Solve -5*g - 1 = -h*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 15, -q - 11 = -v + 4*v. Let x be (3 - q\/4) + -3. Let t be -1 - 0 - (-352)\/121 - 2. Which is bigger: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2747)\/402 - (3 - 10)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 7*w + 3. Let j = 2 + -8. Let y be u(j). Which is the closest to -0.17? (a) 0.1 (b) y (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55551 (base 12) to base 10.\nAnswer: 113101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18202 + l - 5767 + 10264.\nAnswer: l + 22699","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012576321815 to 6 dps.\nAnswer: 0.001258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 147691542.88 and -0.393.\nAnswer: 147691542.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Suppose -3*t - 17 = -4*q, 3*q + 12 - 3 = -5*t. Suppose 3205 = -c*o + u, -5*u = q*o - 0*o + 3175. What is o rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 30, 59, 110, 189?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**3 + r**2 - 3*r + 3. Let n be l(2). Suppose 0 = c, s + 2 = c + n. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r + 1. Calculate v(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 11:45 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*sqrt(170)*-1 + 1*sqrt(170)*1)\/((sqrt(10) - (sqrt(10) - -1*sqrt(10)))*3 - sqrt(20)\/sqrt(2)*4).\nAnswer: 10*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2, 1\/6, 225, -110?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = o - 2. Solve c = 4*v + o, v + 4 = c - 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -2 - 9) + (0 - 0 - 0)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 z when three letters picked without replacement from zdyzdzdjjozdyo?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5325 is divided by 1772?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -71714 divided by 2?\nAnswer: -35857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 239*b + 4199. What are the prime factors of y(54)?\nAnswer: 5, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 31 = 13. Suppose t - v = -5*f, 0 = -4*f + 4*t + 34 - 10. Solve -f*n = 3*n + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 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: In base 4, what is -11 + 132320232321?\nAnswer: 132320232310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2150, -3, 174 in decreasing order.\nAnswer: 2150, 174, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-5 - 1) - (-315 - -314)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-620)\/(-24) + 2\/12. Let k be (o\/6)\/((-1)\/(-3)). Suppose s - 2 = 4*m - s, -4*m + k = 3*s. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/80*4 - (-198)\/(-8). Let p be (-2)\/(1\/(-1)) + a\/(-12). Solve 0 = 4*i - 4 - p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 813 - 809. Let p(f) = -15*f. Let d(n) = -7*n. Give q*p(w) - 10*d(w).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -133010?\nAnswer: -133004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d**2 - 209*d + 857. What is w(4)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100801341*x**3 - 12*x**2 - 898*x - 404 wrt x?\nAnswer: 604808046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -905 - -910. Solve -4*n + n - 10 = z, 0 = -n - i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -11*n + 2. Let g(f) = 1. Let a(c) = -5*g(c) + m(c). Suppose 12 = -5*z + 2. What is the tens digit of a(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 566\/77, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 474868979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26870994173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-252)\/32 - (8 - (-4 + 11))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 303*k**3 + k**2 + 2*k - 20 wrt k.\nAnswer: 1818*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k. Let a(z) = 64*z. What is v(a(c))?\nAnswer: 128*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 297596102584?\nAnswer: 297596102583.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33 + -176?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 0*g + 80. Suppose -2*i - 2*i + g = 0. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -83 and -1.6.\nAnswer: -84.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-88*a - 5*a + 32*a - a + a - a + (-2 - 1 + 1)*(2*a - 2 + 2) + 2*a - a - 12*a)*(1 - 3 + 0)*(-3*a - 3*a + 4*a) to the form f*a + v*a**2 + h and give v.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3262318 greater than or equal to 16311596\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(-1\/6)*a**(1\/2))**(-29) assuming a is positive.\nAnswer: a**(-232\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 h when two letters picked without replacement from qujjquhujqj.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -21. Suppose -2*g - 3*f + 13 = 0, 3*g + 2*f - 4*f - 39 = 0. Let r = g - z. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 6, -1224 in decreasing order.\nAnswer: 14, 6, -1224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-2)\/52) + (4 - 6). Suppose -2*p + t = 18. Solve -z + 0*z = p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-1800)\/2050)*48\/492\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 945263*l**4 + l**3 + 324*l**2 + 34256*l wrt l?\nAnswer: 22686312*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x + 2. Let t be o(0). Suppose -12 = -4*j - t*m, 2*m = j - 6 - 7. Is 6 a factor of (18\/j)\/(-1 - 11\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(98)\/sqrt(2)*-4)\/(5*sqrt(21)\/sqrt(3)))**2 + sqrt(14)\/(sqrt(200) - sqrt(200)*-1) + sqrt(567)\/sqrt(81).\nAnswer: -112\/5 + 21*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-34)*8\/(-10))\/(2850\/21375).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 9:34 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-1 + 4) + 8. Let r be a + (4 - 0) + -7. Are r and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 9*l = -6*l + 2247, 757 = x - 3*l. What are the prime factors of x?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209654, 419153, 628652, 838151, 1047650?\nAnswer: 1257149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141358 is divided by 28207?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -354*q**2 + 214*q**2 + 397*q**2 as f + x*q + a*q**2 and give a.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(4\/(-24)*8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -5651978?\nAnswer: -5\/2825989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.19 - -1.79. What is the nearest to -0.3 in 2\/3, t, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -33, -53, -75, -99, -125?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2245343 to the power of 1\/2, to the nearest integer?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 892 is divided by 81?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1201793277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uubuluquubub. What is prob of sequence lu?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-63)\/(-35) + (-100)\/60. What is the smallest value in -5, k, 3.23?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -8 + ((-8)\/36 - (-2)\/9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**6\/360 + 19*r**3 + 9*r**2 - 6*r. Let b(i) be the first derivative of t(i). Let w(k) = 2*k**2 - 131*k. Determine w(b(u)).\nAnswer: 2*u**4 + 131*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**3 + 6*z**2 + 2*z - 4. Let t = -30521 - -30522. Let l be (8\/10)\/((-2)\/10). Let u(p) = p**3 + p**2 + p - 1. Calculate l*u(r) + t*y(r).\nAnswer: -r**3 + 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(-8)\/64 + 1 + (-52)\/8. Let d(n) = -n**2 - 4*n + 2. What is d(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6*i + 65. Let v(t) = -t**3 - 2*t**2 + 6*t - 5. Let f be v(-5). Suppose 5*j = 230 - f. What is the remainder when j is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282 divided by -94?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85\/7 + 4661\/385. Suppose -5*i - 5*j - 18 + 13 = 0, 3*j - 3 = -i. Which is the smallest value? (a) 0.4 (b) i (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 11*c**2 + 23*c**2.\nAnswer: 35*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4347 + 21616\/5. Suppose 0 = -723*f + 730*f + 175. Do f and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33489\/66978*2\/77)\/((-3)\/(21\/4))\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + 1. Let d = 33 - p. Put -2, d, 10 in ascending order.\nAnswer: d, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 544*r**2 - 2*r. Let n(s) = -3139*s - 24. What is n(j(b))?\nAnswer: -1707616*b**2 + 6278*b - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 907*a + 30716 = -502*a - 99434 + 6158 for a.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 45*x - 99. What is w(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(45)\/sqrt(3))\/sqrt(3).\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -712412?\nAnswer: -712414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*b - 6. Let l(q) = -2*q**2 + 21*q - 1. Let r(a) = a**2 - 10*a + 1. Let v(u) = 6*l(u) + 13*r(u). Does 10 divide v(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 534 = 36*f + 390 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -330, 6, 2.\nAnswer: -330, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**2 - 60*k + 450 = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -182*x**2 - x**3 - 2*x + 0*x**3 + 82*x**2 + 16 - 4*x + 85*x**2. Suppose 1 = -2*z - 4*n - 9, -4*z - 3*n - 45 = 0. What is the units digit of l(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13443 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 3*q + 3 - 1, -5*q = -4*c + 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 4:56 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204)*-2 + sqrt(204) + sqrt(204))*-5)\/(sqrt(972)*2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 139882190 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -652.6091159 to the nearest integer.\nAnswer: -653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5 + 3. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z + 2*z - z**2 + 4*z**2 - z**2. Let o be r(-1). Find i such that 4*i + 6*i + o*i**2 - i - 3*i = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3377 + -489663\/145. Let g = 0.04723 + -2.04723. Which is the nearest to m? (a) 2 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/8)\/(3971\/(-190) + 21).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*k + 3*t, k + 2*t - t - 3 = 0. Let d be (-3 + k)*(-3 - 2). Suppose 1 + 24 = d*s. Solve -5*q = v - 20, -4*v = -0*q - s*q + 45 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -26, -1\/414, 13, -0.1, 2\/7, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -445661, -3565283, -12032837, -28522289, -55707605, -96262751?\nAnswer: -152861693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*r - 132*r = -160*r + 2277 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015276756?\nAnswer: 2, 13, 89, 219377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggqg when four letters picked without replacement from {g: 5, x: 11, q: 1}.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*r - 29. What is the least common multiple of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d - 25. Let s be i(-9). Suppose -k + 4*r = 1, -k - k + 3*r = -3. Let l be ((-100)\/k)\/(s\/(-3060)). What is l rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 11 = 91. Do k and -42 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 232419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 154*s**2 - 14*s + 6. Let d(f) = -463*f**2 + 44*f - 17. Let c(h) = 6*d(h) + 17*z(h). What is the second derivative of c(o) wrt o?\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1430440 (base 5) to base 15.\nAnswer: 8dd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/7 - 16*j**2\/7.\nAnswer: 2*j**2*(j - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9276\/5 - 1847. Find the common denominator of -83\/44 and l.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -50. Let m = 32 - 30. Which is the third biggest value? (a) -0.07 (b) h (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 + -54. Let g = 2 + -5. Let o = 9 - 14. Put g, o, b in ascending order.\nAnswer: o, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, e: 7, t: 2}. What is prob of picking 2 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -2. Let g(i) = 21*i**2 - 4*i + 4. Let c be g(2). Calculate the highest common factor of c and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12 + (-702)\/(-36))*8\/(-3). Let d(w) = -122*w - 339. Is d(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38205634 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43524 and 1674.\nAnswer: 43524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26470a (base 13) in base 12?\nAnswer: 386825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 15. Let h = -353\/1806 - -3\/602. Let s = 10\/21 + h. What is the closest to -1 in -4\/3, z, s?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 8*u**2 + 1353*u - 8200. Calculate w(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 263 + -255 + 109\/(-6) and 33\/652.\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1 = 5*z - 14, -2*j - 11 = -3*z. Let x = z + -2. Put 0, -17, x in increasing order.\nAnswer: -17, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 238836835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -5*f**4\/4 - f**2 - f + 1. Let v = -32 - -31. What is q(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 - 4*s - 7. Let z(m) = 3*m**3 + 5*m + 8. Determine -5*a(q) - 4*z(q).\nAnswer: -2*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w. Let a(b) = -17*b. Let s(u) = -4*a(u) + 7*z(u). Let y(r) = 702 + 2*r**2 - 702. Calculate y(s(j)).\nAnswer: 50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/((-552)\/(-560))*2\/(20\/5).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 13*m**2 - 15*m - 1. Let g be b(12). Let x = g - -51. Calculate the greatest common divisor of 77 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is aa - -12?\nAnswer: bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 3*t**5\/5 - 9*t**4 + 10*t**3 + 18*t**2 - 33*t - 632. Factor r(v).\nAnswer: 3*(v - 11)*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 a when two letters picked without replacement from danalalkfnad?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 + 184*b**3 + 188*b**2.\nAnswer: -4*b**2*(b - 47)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -321 divided by -56828\nAnswer: 321\/56828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001192814 to seven decimal places.\nAnswer: 0.0001193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 6*p**2 - p + 5. Suppose q + 5*a = -12, 16 = 3*q - 6*q - 5*a. Let r be 1 + (q - -2) + -7. What are the prime factors of f(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f + 24. Suppose 2*d - 3*d - 2*s - f = 0, -4*d + 3*s - 26 = 0. Let l be (11 - 1) + (-4 - d). What is the greatest common factor of 70 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -24. Let r = -5.2 - v. What is the third smallest value in r, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 775 = -9*h. Suppose 3*t = 9, 3*i + 10 = 7*i - 2*t. Suppose -i*n + h = n. What are the prime factors of n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*g + 1. Suppose 13 = 4*t + 5. What is the lowest common multiple of (g\/(-3 - -2))\/(-1) and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4049 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128705*o + 66144*o + 62562*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3701*h - 3701*h - 243*h**2 + (4*h**2 + h**2 - h**2)*(2 - 2 - 2) as z + t*h + g*h**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(156) - (sqrt(156)*-1*1 - sqrt(156)))\/sqrt(12))*5 + 5 + -2.\nAnswer: -2 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79.999392 - -80. What is c rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 2. Let g(r) = -21*r - 6. Let a(q) = g(q) - 4*i(q). Let f = -402 + 404. Give a(f).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -0*s + 3*s. Let z = s - -48. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9829202 divided by -2474.\nAnswer: 3973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (5 - (2 + 12 - 10))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 34*t + 33. Let d be a(-16). Which is greater: d or -1\/140?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9399.3686618591+-3\nAnswer: -9402.3686618591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(11) + (sqrt(44) - sqrt(11))**2)*-3 - (sqrt(44) + 1*sqrt(44) + sqrt(44))\/sqrt(4)*-3) + (-5*(sqrt(11) + 2) - -2*(0 + sqrt(11))) + -5.\nAnswer: -48 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 912347479520.\nAnswer: 912347479515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-35)\/91 + 2\/4 and 6\/7?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -90*s**2 + 14. Let d(z) = z. Calculate p(d(g)).\nAnswer: -90*g**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 + -2.1. Which is the closest to p? (a) -2\/9 (b) 1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 5, a: 1, t: 2, j: 2, x: 5}. What is prob of picking 2 x?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 163 + -161. Let f be 7 - 10 - (p + -95). What is the greatest common factor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2817 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 221035 (base 10) to base 12\nAnswer: a7ab7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083231982 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, 0.4, -0.356, -10, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s + 4*s**2 + 15*s**3 + 5*s**2 - 11 - 4*s**2 - s**2. Let p(w) = 8*w**3 + 2*w**2 - 4*w - 6. Determine -6*j(v) + 11*p(v).\nAnswer: -2*v**3 - 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -1 - (5 + (-8 + 10 - 1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1142 - 1138 - (-2 + 2 - -35)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*u = -239*u - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - h + 44 = 0, 0 = 5*t + 3*h - 2*h - 74. Suppose 4*v = 8 + 8. Suppose -v*s = 3*y + s - 19, 23 = 3*y + s. Solve -3*f - t = -y*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.152 and 0.0059.\nAnswer: -0.1461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 243*u = 244*u - 15, -2*u = -2*z - 26 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -718*k - 723*k + 1437*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 31 = -29. Let c be (o\/10)\/(((-32)\/20)\/4). Suppose -c*p - 246 = -4*v, 2*p - 2 + 61 = v. Calculate the remainder when v is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -71, -3\/7, -2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -144164, -144178, -144192, -144206, -144220?\n\"Answer: -14*a - 144150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*w + 298*w = 4*m - m - 216, -4*w - 5*m + 333 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihi when three letters picked without replacement from {d: 4, i: 3, h: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (-4 + 5)\/(2\/(-522)). Suppose -u + w + 179 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99.9 + -7885445741.1.\nAnswer: -7885445641.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -9709 (c) 2\/11 (d) -0.5 (e) 0.3 (f) -4 (g) -880\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(1\/7)*g**(-2\/9))**(-39) assuming g is positive.\nAnswer: g**(-1573\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 74*b**2 + 25*b + 20. Let f(m) = -m**2 - 28*m - 153. Let d be f(-8). Is t(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -15. Let k = 20 - 31. Sort l, -5, 3, k in increasing order.\nAnswer: k, -5, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(143) - -4*(sqrt(143) - sqrt(143)*1))*2)\/((-2*sqrt(176))\/sqrt(4)*6).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -15*f. Let k(b) = -15*b**2. Calculate k(w(r)).\nAnswer: -3375*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36969 - -36969.055. Suppose o + 10 = 3*o. What is the third smallest value in z, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -24.97. Let o = -1\/1875 - 1873\/3750. Which is the closest to -0.1? (a) k (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/2)\/z)\/(z*z**(-5\/3)))**(2\/49) assuming z is positive.\nAnswer: z**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*((-4 + (sqrt(500)*1 + sqrt(500))*-3 + -3)*-1 + -3)**2.\nAnswer: -54052 - 1440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -243720 by -13540.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**3 + 10*d**2 - 11*d + 85. What are the prime factors of m(7)?\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 + 0*y**3 - y**3 + 5*y**3 + 0*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-50)\/(-14) - (-3)\/7. Solve 2*f - 9*f**5 + 10*f**5 - f**3 + f**4 - 2*f**5 + 3*f**2 - 4*f**s = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 8 - v + 1)*(2*v + 0*v - 3*v)*(1 - 4 - 1).\nAnswer: -4*v**2 + 36*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*t**5 - 661*t**3 + 23023*t**2?\nAnswer: -240*t**2 - 3966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 - 3*n + 7*n - 2*n + 11 + 101*n**4 - 103*n**4 - 14*n**2 to the form g + b*n**2 + f*n**3 + o*n**4 + s*n and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -7, -2, -5 in increasing order.\nAnswer: -7, -5, -3, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 2. Let j be 26 + -24 + 5 + -2*3 + 2. Sort 1, y, -4, j in ascending order.\nAnswer: -4, y, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400 (base 11) in base 16?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eggggeggge.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*c - 66 = 0, 3*w + c = -2*c - 45. What is w rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*m + 3*j + 34, -m + j = -7. Let h(x) = -2633*x - 10529. Let t be h(-4). Solve 6*d = -t*d + m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a**2 - 10*a**2 + 17*a**2 + 0 + 0 + a**2 + (0 - 2 + 1)*(a**2 + a - a) - 2*a**2 + 3*a**2 + a**2.\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2010190 and 77315.\nAnswer: 2010190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 + (-1326)\/34)\/(-20 + 7).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 4*q - 7. Let a be x(-2). Suppose -4*m = -i - a, -3*i = -5*m - 5*i + 21. Suppose -7*d + 248 = -m*d. What are the prime factors of d?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/1 + -311*(-170)\/5. Let n(c) = -10573 + g - 3*c**2. Let s(z) = -28*z - 2. Give s(n(l)).\nAnswer: 84*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 equal to -106\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 924\/616*232822\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggw when three letters picked without replacement from gwgffwggfgggggfwjfgg?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 - 93*f + 112. Let l be s(-40). Which is smaller: 7033 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1999 - -2001. What is the nearest to u in -4, 21, -0.17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/98358 and 27\/5408.\nAnswer: 1573728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1226333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720 = -4*l - l. Suppose 0 = 3*t - l - 27. Suppose 0 = -3*n + 2*b + b + t, 4*b = -4*n + 36. Solve 3*k = -4*o + 3*o - 11, -2*o - 2*k - n = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 5:32 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1992 is divided by 41?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 685888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, -26, -163, -428, -863, -1510, -2411?\nAnswer: -3608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 + 3*h - 3. Let v be f(2). Let r be 2\/v + 72\/330. Which is the second biggest value? (a) -0.3 (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -153975*v + 81205*v + 78123*v to f*v + p and give f.\nAnswer: 5353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 65 + 3 + -39?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/1380 and -43\/20.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -5 in decreasing order.\nAnswer: 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**3 - 2*j**2 + 1. Let d be q(1). Let b(x) = 2*x + x**3 + 6 - d*x - 2 - 2. Let l be b(0). Solve 0*y + l*a + 16 = -3*y, -2 = a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18303116, -18303118, -18303120, -18303122, -18303124, -18303126?\nAnswer: -18303128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3801068554 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 15*x + 4. Let z(j) = -j**2 - 1. Let g(u) = -d(u) + 6*z(u). Factor g(r).\nAnswer: -5*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3\/(2\/((-40)\/(-3))) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1316 + 18427\/14. Calculate the common denominator of x and 77\/1154.\nAnswer: 8078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1494507237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*u - 30 = 42*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 700496993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, a: 2}. What is prob of sequence ama?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -216, -218, -222, -228, -236, -246, -258?\n\"Answer: -b**2 + b - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**4\/24 - f**3\/6 + 1289*f**2. Let z(o) = o**2 + o + 3. Let t(k) = k - 4. Let b be t(3). Determine b*z(p) - 3*i(p).\nAnswer: -p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -146 + 151. Suppose -3*k + 4*b = -74, -b + 162 = m*k + 2*b. Suppose k*f - 2989000 = 37*f. What is f rounded to the nearest ten thousand?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 - (-17 + 5 + (7 - 15))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 9, 5*w = 4*h + 24 + 13. Suppose 22*r - 43*r + 1125 = 54*r. Solve -w*v = -r*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*f + 22943 + 43272 = 521*f + 295*f for f.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 197, 2, 4 in decreasing order.\nAnswer: 197, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*c, -6883 = -5*u - 3*c - 2089. Calculate the greatest common divisor of 132 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 434\/35)*13\/((-65)\/50)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.427 and 0.5?\nAnswer: 0.2135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -12 - 32. Suppose 78 = z + 3*z - 5*g, -4*z = f*g - 60. Suppose 66 + 94 = 5*t. What is the remainder when t is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466\/367 != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*v**4 - 168*v**3 - 90*v**2 - 4*v = 0 for v.\nAnswer: -1, -2\/41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4964526 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 990.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -198033, -396065, -594097, -792129, -990161?\n\"Answer: -198032*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4*m + 102, -17*m = 4*i - 18*m - 86. Sort -5, 11, -2, i in descending order.\nAnswer: i, 11, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-4 - -2) - (1 + 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -153598 or -0.2?\nAnswer: -153598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/6*-5*4\/(-15). Which is the smallest value? (a) -0.7 (b) s (c) -0.4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4 (b) -2\/3 (c) 9\/7 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3 - 211*t**5 - 28*t + 3*t**4 + 393*t**5 + 333*t + 3 wrt t.\nAnswer: 3640*t**3 + 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*c - c**2 + 0 - 1 + 3*c)*((-2 + 1 - 3)*(-c + 2*c - 2*c) + 4*c + 5*c - 3*c) to the form d*c**3 + x*c + i + z*c**2 and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.43 times 0.08261?\nAnswer: 1.8529423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -8*p**2 + 26*p**2 + 7*p - 4 - 22*p**2 + p**3. Suppose -v = v - 8. Let n be z(v). Calculate the highest common divisor of n and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + (-3 + 20 - 35).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 453 + -276. Suppose 3*t - 5*o = -139, 2*t + 2*t + 197 = -5*o. Let k = s + t. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, y: 2}. Give prob of picking 4 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - 19*c - 35. Let u be z(-5). Let b(i) = -i**3 + 11*i**2 + 10*i - 16. List the prime factors of b(u).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.1. Put 0.3, r, 1 in ascending order.\nAnswer: r, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m - 24 = -26*m, -5*c + m - 6 = 0. Solve -18*o + 20*o = -4*l + 2, c = 5*l - o + 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23439 by -3.\nAnswer: 7813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2. Let q(k) = -139173*k**2. Determine o(q(z)).\nAnswer: 19369123929*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-85)\/(-2))\/(101\/((-56156)\/695)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11\/3 - 13\/6. Let w = 18 + -18.6. Let i = 0.4 - w. Which is the third biggest value? (a) v (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 1. Give m(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*x**4 - 2*x**2 - 59*x - 51001.\nAnswer: 20*x**3 - 4*x - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, u: 1, o: 3, f: 3, q: 2}. What is prob of picking 2 o and 2 f?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-150) + (-9107)\/(-223665). Let k = -2\/481 + f. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + 6a289707?\nAnswer: 6a289701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.220627 tonnes to milligrams.\nAnswer: 9220627000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3004.04 - 3002. Which is greater: -7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 0*g**3 + 0*g - g**2 + 0 + 1\/6*g**4. Let z(h) = -9 - 5 - 2*h + 14. Determine z(s(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1721 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*a**3\/3 - 1254752*a**2 + 1254754*a - 941066\/3.\nAnswer: -2*(a + 470533)*(2*a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + -10 + 12 + -4 + 9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.153 times 0.3\nAnswer: 0.0459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*70.3.\nAnswer: -14.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142 - 211 + 86)*(i - 7*i + 0*i + 10*i).\nAnswer: -1068*i","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, -5, -13, -37, -83?\n\"Answer: -u**3 + u**2 + 6*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-10))\/((-3)\/(-32385)). Let d = -43089\/10 + h. Let b = -29\/18 - -197\/18. Find the common denominator of d and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92644*-0.4\nAnswer: -37057.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -9, -4, 171, 8 in decreasing order.\nAnswer: 171, 8, -4, -9, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.999342 - 11. What is q rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 296 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 592*t**5 - 1279*t.\nAnswer: 11840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 143574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -1256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*h - 0 - 24 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 1. Let j = w - -0.3. Let d = -20 + 15. Which is the third biggest value? (a) d (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3360 and 2814?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -45. Suppose 0 = -3*h - 3*x + 645, 0 = -2*x - 1 - z. What is the highest common factor of h and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.922759ml to litres.\nAnswer: 0.003922759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24860.\nAnswer: 2, 5, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 651 and 1723.\nAnswer: 1121673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-69)\/(-46)*(-6)\/(-9))\/(2\/(-10)). Sort -367, 1, b in increasing order.\nAnswer: -367, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273493915?\nAnswer: 5, 2269, 24107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 10 + 3)*(3*v - 2*v + 2*v) + v - v - 2*v.\nAnswer: 58*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 228\/(-171)*51\/(-4). Suppose -3 = -10*o + w. Solve -o*f - 2 = 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1)*(-z + z - z**2)*(51*z**3 + 113*z**2 - 113*z**2).\nAnswer: -51*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n**3 - 345*n**2 - 306*n. Let g(z) = -z**3 + z**2 + 13*z. Let l(w) = 3*g(w) - v(w). Factor l(s).\nAnswer: 3*s*(s + 1)*(s + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*y + 127956, 3*a - 198202 = -5*y + 15080. Is 20 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2114 in -1, 8, -2\/13, -2, 4\/3, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = 56 - 29. What is the second biggest value in -1\/5, 9, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -208*v**4 + 49*v**2*z + 3*v*z + v + 277*z + 2 wrt v?\nAnswer: -2496*v**2 + 98*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, b: 3, m: 7, f: 3}. What is prob of sequence bmmf?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1239*i - 2476*i + 1235*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000095954736 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 451415459 or 451415462?\nAnswer: 451415459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a - -5?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 5. Suppose 3*i - 2*i = 3*s + u, 5*i = 3*s. Let p be 14 - (i + 9)\/2. Calculate the highest common factor of p and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and 4737.\nAnswer: 61581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 11*t**2 + 13*t - 5. Let y be r(12). Let l(o) = o**3 - 8*o**2 + 2*o + 7. Let k be l(7). Let d be (-36)\/k - 2\/y. Let h(m) = 6*m. Give h(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 2*g**2 + 4*g**2)*(-64 - 98 + 49)*(2*g + 2 - 2) + 3*g**3 - g**3 - 4*g**3.\nAnswer: -228*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 814.\nAnswer: -2\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7)*o**2)\/((o**3*o)\/o*(o**(3\/4)*o)\/o) assuming o is positive.\nAnswer: o**(-41\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -12*c**2. Let h(s) be the first derivative of -6*s**2 - 73. Give y(h(g)).\nAnswer: -1728*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 9*n + 1. Let p be h(-7). Suppose 5*u + 6 = j + 7, 0 = 5*u - 3*j + 7. Solve 4*l - u = p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/3628117?\nAnswer: 2\/3628117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1195 = 454*z - 7221 - 6232 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 5. Let w = 7 + n. Let u = -10 - -16. Calculate the smallest common multiple of w and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(468) - (1*sqrt(468))**2) - (-2*sqrt(468) + -3))*1*2*-5 + 3.\nAnswer: -420*sqrt(13) + 23373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 3\/5 (b) 8 (c) -0.5 (d) 40 (e) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 5:52 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50929 (base 16) to base 8.\nAnswer: 1204451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24225275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from cwcw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g + 3. Suppose o = 3*c + 5, -7 = 5*c - 0*c - o. Let y be c\/(2\/(-2))*-3. Give z(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 138 + -137. Let i = -0.06 + 0.16. What is the closest to i in -1, 1\/7, k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -157*o - 134. Determine y(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30065.\nAnswer: 5, 7, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 148 = 3*n. Let g(p) = p**3 - 6*p**2 + 12*p - 5. What is the remainder when n is divided by g(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 5*r + 230 = 0, 4*m = -15*r - 16*r - 425 - 168 - 853 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/45*-15)\/(-8)*(-24)\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 302\/18 + 10\/45. Suppose 0 = 2*j + u - 5. Let y be (5625\/j)\/(2*3\/(-288)). Round y to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55341 (base 12) in base 13?\nAnswer: -3c460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/4114 and 23\/5484688.\nAnswer: 93239696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4311*o**2 - 29*o - 32. Let d be n(13). Suppose d = -x + 26*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 5) in base 2?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 16*o**2 + 44*o + 119. Let s be z(-4). Solve s*n + 3*m = 195*n - 4, -3*m = -4*n + 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 11846480*v.\nAnswer: -2*v*(v - 5923240)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195 and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 18, 1 in decreasing order.\nAnswer: 18, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 - -128. Let a be 1*5*8\/g. Factor -2\/3*f - 2\/3*f**2 + a*f**3 + 2\/3.\nAnswer: 2*(f - 1)**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2283?\nAnswer: -1\/2283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 38*l**2 + 135*l + 49. Determine b(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39777709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 91 * -0.0609\nAnswer: -5.5419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 46. Which is the closest to -2? (a) -1 (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/((-8)\/(-10))*1. Let n be -2 + 1 + (-13 - -2). Let m be 9*(-1 + n\/(-9)). Solve c*g = 2*g - m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15294696 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -d - 5*h + 8, 3*h = 4*d - 4. Let n be (-24)\/(-18)*(-6)\/d. Let g be ((-1)\/4)\/(n\/8). Which is smaller: g or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1014161.\nAnswer: -1014161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**3\/6 + 4*a - 5. Let q(v) be the first derivative of k(v). Let g(n) = n**2. Give g(q(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-36) + -124 + (-44198)\/(-1386)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5375109 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -6 - (-276)\/48 - (-7090)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 4:28 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -19. Find the second derivative of 14*p + p + m*p**5 + 8*p wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**5 + o**3 + o**2 + 2. Let s(x) = 623*x**5 - 9*x**3 - 9*x**2 + 8*x - 57. Let b(c) = -9*l(c) - s(c). Find the second derivative of b(a) wrt a.\nAnswer: -12280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6501?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 570169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 603f62 (base 16) to base 7\nAnswer: 104420513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p + 2*p)*(78 + 220 - 2000).\nAnswer: -3404*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 42?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29373 - 29373.0038941. What is o rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/344454 and 73\/921.\nAnswer: 344454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f = 8*f + 34. Let u(z) be the second derivative of -3\/2*z**f + 1\/2*z**3 + 0 - 3\/20*z**5 + 1\/4*z**4 + 7*z. Factor u(n).\nAnswer: -3*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-18)*u\/(u*(u*u**(-18))\/u)*u\/u**(-4\/3)*u*u\/(u*u**(-11\/2))*u*u)**38 assuming u is positive.\nAnswer: u**(1235\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54038 and 6970.\nAnswer: 4593230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 153 - 148. Suppose x*k + 2*z - 123 = 0, 2*k + 2*z = -z + 58. Does 23 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 16\/3*w**2 - 4*w - 4\/3 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 140 = -6*j. Let w = -16 - j. What is the highest common factor of w and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 1\/10, 3, 4.\nAnswer: -4\/9, 1\/10, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 7*o + o - 11*o + 16*o**2 as t + f*o + c*o**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, e: 3, j: 1, s: 1, y: 1, g: 6}. Give prob of sequence se.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k - 12. Let v be u(11). Suppose -2*g + 0 + v = 0. Let m = -100.95 + 101. What is the third biggest value in g, m, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**2 - 5*h**2 + 0*h**2 + h**3 + 2*h - 3*h to the form s*h**3 + d + m*h**2 + g*h and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 2:26 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j = -23*j + 46. Determine a, given that 14*a - 3*a**3 - j*a + 7*a + 5*a**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 77 = 2*b - 10, 5*b - 3*p = 234. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 39 + 3. What is the remainder when i is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*t - 5 = 0, 82 = 4*z - 2*t. Suppose -50*c + 49*c + z = 0. Calculate the smallest common multiple of 6 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - f + 4. Let q = -265 - -259. What is i(q)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 31)\/(13 - (-148)\/(-12)). Let y = -43 + l. Suppose -m - 1 + 3 = 0. Solve -m*z = y*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72645910.7498878 + -7.2501122. Let a = -72645831.999979 - p. Let v = 86 - a. What is v rounded to six dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*r + 425 = 5*l, -3*l - r + 314 = 0. What are the prime factors of 6\/8 - l\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**3\/3 - 815296*b**2\/3 - 1630586*b\/3 - 271764 = 0?\nAnswer: -407646, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -69, -284, -651, -1176, -1865?\n\"Answer: -h**3 - 70*h**2 + 2*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r = -36*r + 67*r - z + 4, -z - 3 = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*p + 235*p + 675*p - 155*p to the form z + c*p and give c.\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmmm when four letters picked without replacement from mmmmmmmmmtmmmmmmtm?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4*f = -6, 3*f - 1 = 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsxm when four letters picked without replacement from {z: 2, m: 2, e: 4, x: 3, g: 2, s: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 8. Let q be 7 - (-1)\/(4 + -3). Let d be h(q). Suppose 2*x = x + 4*v - 1299992, d = -3*x - 2*v - 3900004. Round x to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*j - 16268 = -113*j + 115*j for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 + 46*f**2 - 164*f - 14. Calculate h(17).\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.4 (b) -2 (c) -0.11 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 12, i: 1}?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j - 2. Let m(q) be the third derivative of -3*q**4\/8 + 2*q**3\/3 + 39*q**2. Determine 11*f(p) + 6*m(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 411414401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 g, and 1 z when three letters picked without replacement from agugllzpu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*n**2 - 3*n**2 - 15*n**2 + 318*n)*(-33*n - 7*n + 11*n) to the form b*n**3 + j + f*n**2 + t*n and give b.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {l: 1, r: 2, h: 2, e: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 551*h + 616. Let x be c(-1). What is the highest common factor of x and 13715?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181\/15 + -67\/5. Let j = 198351 + -198352. What is the closest to -1 in 0.5, -3, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1110 and 2288635.\nAnswer: 13731810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven eighths of a millennium?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*u**2 + 0 + (-3*u + 4*u + 0*u)*(2*u + 3*u - 7*u) + 0*u**2 + u**2 + 0*u**2)*(1 - 2 + 2) to the form p*u**2 + d + x*u and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvzivzjjpvvjzjvhj. What is prob of picking 1 i and 1 h?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbtw when four letters picked without replacement from wbwbtbwtqtbqtbbtbtb?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -743aa - -45?\nAnswer: -74365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -258 + 243. Let j be (10\/(-15))\/(5\/l*8). Which is the third biggest value? (a) -6 (b) 4\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**3\/4 + 23*f**2\/2 - 56*f - 3008. Factor j(w).\nAnswer: -(w - 28)*(3*w - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -49*r**5\/20 + 35*r**3\/6 - 10*r + 5. Find the second derivative of t(j) wrt j.\nAnswer: -294*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105300 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 0*z**3 - 31 - 11\/2*z**2 + 29*z + 1\/4*z**4. Differentiate y(l) wrt l.\nAnswer: 3*l**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b**3 + 0 + 4 - 47*b**3 - 5 - 1 to l*b + t + d*b**3 + z*b**2 and give d.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*g + 3 + 1 - 90*g + 27*g + 24*g.\nAnswer: -9*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*y = -2, 5*y - 179 + 180 = -2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060323499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h = -134. Let f = 40 - 88. Let w = h + f. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(637)*1 - ((sqrt(1872) - sqrt(1872)*-1*-3) + sqrt(1872)))**2.\nAnswer: -38*sqrt(13) + 4694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/17 + 36*h**4 - 27242*h**3\/17 - 190368*h**2\/17 + 217000*h\/17 = 0.\nAnswer: -7, 0, 1, 62, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -488435, -488436, -488437?\nAnswer: -488438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4569*q**2. Let x(z) = 77*z**2 + 70*z**2 + 2 - 148*z**2 - 2. Give x(o(r)).\nAnswer: -20875761*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -2*x. Factor -20*g**4 + 32*g**3 + 10*g**2 + x*g**4 + 7*g**2 - g**2.\nAnswer: -4*g**2*(g - 2)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896 is divided by 545.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25534*-463.\nAnswer: -11822242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -170 + 66 + 96, -5*y + 2*y = -4*p - 28 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*j - 9*j + 719 = -565 - 1716 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 477.289 litres?\nAnswer: 477289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - q - 3789 + 831, -1194 = -2*l + 4*q. Calculate the remainder when l is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 990703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 12)*(-1241)\/(-157607)?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1784 and 11734?\nAnswer: 10466728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 9593140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from syxbtsssx.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -4. Let v = -0.49 + -54.51. Let t = v - -56. Are t and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4650311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 177056 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 24*n + 152. Let i be c(-6). Find the first derivative of 48*b**2 + 49*b**2 + i*b + 31*b**2 - 320 - 8*b wrt b.\nAnswer: 256*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47175\/25160*1*4\/15?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 44*t**2 - 283*t + 813. Calculate p(36).\nAnswer: 993","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3077 a factor of 4331297894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - t - 1. Let d(k) = 11*k**2 + 5*k + 5. Suppose 10*o + 10*o - 28 = 72. What is o*c(g) + d(g)?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h**2 + 1. Let c(g) = g**2 + 3*g - 19. Let s be c(-6). Give f(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5.493211 micrograms?\nAnswer: 5493.211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 51*n + 462. Calculate the remainder when m(-7) is divided by 78.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*i = -109*i + 23754. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 4*i**2 - 9*i - 1. Let z be (-14)\/(-7) + (-11 - -3). Give p(z).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11866 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from dbddddddbbdbdd.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7304.6 * -0.2\nAnswer: -1460.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 676 - 681. Sort -2, -4, o, 2.\nAnswer: o, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Find the first derivative of 7 - 3*w - 3 + v wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 22737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11*p + 431 - 173 - 258. Let t(r) = 93*r. Determine t(f(j)).\nAnswer: 1023*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*v + 85 = 57*v. Let a = -29 + 9. Let n = v - a. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 707\/63 + (-4)\/18. Solve 0 = -x + 2*f + 2, -x - 3 = -4*f - m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a - 2*a - 27. Solve -a*u + 14 = 29 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/28 and 89\/10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (598 - 603) + (-4 - -1) + (-2 - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 8. Let a be s(-9). Suppose 4*m - 1 = -a. List the prime factors of 81\/12 - (-3)\/m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4. Let n = -1 + 3. Suppose q = v + n*v - 3. Let c(d) = -6*d**3 + 1. Calculate c(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/9, 2.77, 6, -0.3, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70683?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 8*t**2 - 7*t - 12. Let s be w(9). Let l(i) = -2*i**2 - s*i**2 + 7*i + i**3 + 2*i + 1 + 0. What is the remainder when l(7) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/9*9\/5. Find the third derivative of 10*j**2 + 7*j**2 - x*j**2 - 4*j**5 + 3*j**5 wrt j.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111111 + 100110?\nAnswer: -101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*36)\/(-8 + 9). Let t be 6\/24 - 1\/n. Which is smaller: t or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*k + 10369 = -7*k + 10207 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 2. Let r = n - 22. Let d be (8\/5 + -2)\/((-12)\/20). What is the nearest to 3\/2 in d, 4, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/((b*b\/b**(7\/4))\/b))\/((b\/b**7*b)\/b)*(b*b*b**4)\/(b\/(b*b**(-2\/23))) assuming b is positive.\nAnswer: b**(1349\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 24*b**3 + 125*b**3 - b.\nAnswer: 101*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 235350 a multiple of 408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -47. Suppose -17 = -5*i + 13. Suppose -4*s + 3*v - 4 = 0, -2*s + i*v - v = 2. Sort -5, s, a.\nAnswer: -5, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -30.38?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**3*p**3 + 39136*i**3*p - 11*i**3 + i**2*p**3 + 3*i**2 - i*p**3 + 839*i - 35*p**2 wrt i?\nAnswer: -18*p**3 + 234816*p - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -78 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3963 + 211*b + 3963 as k*b + n and give k.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from errmtbr. What is prob of sequence bm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -40 and -290\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**2 - 23*r**2 + 8*r**2 - 20*r**2)*(-12*r + 81 - 33 - 40).\nAnswer: 348*r**3 - 232*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnn when three letters picked without replacement from ybnyyybnn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22094 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(75) + (-1*sqrt(75))**2)*-6*6.\nAnswer: 720*sqrt(3) + 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -13.0000044. What is b rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11681, 11688, 11695, 11702?\n\"Answer: 7*t + 11674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 197, 364, 529, 692?\n\"Answer: -y**2 + 170*y + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 39.\nAnswer: -8\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6913\/6 + -1152. Suppose 24 = -3*x + 2*h, -4*h + 16 = -0*x - 2*x. Which is the third biggest value? (a) -2 (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/3)*r**(-7))\/((r*(r*r**(-3)*r)\/r*r)\/r**(-6)))**2 assuming r is positive.\nAnswer: r**(-82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*d + 16*d - 3*g - 10, -4*g - 20 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192839 is divided by 157?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11158 is divided by 3718?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -264 + -7834?\nAnswer: -8208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -103, 3\/10, 53, -1.88 in descending order.\nAnswer: 53, 3\/10, -1, -1.88, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*b**2 + 3 - b**4 - b - 26*b**2 + 2*b**3 to r*b**4 + q*b**2 + v + w*b + l*b**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 587088 divided by -37.\nAnswer: -587088\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 + 0.69999847. What is q rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-11340)\/(-48)))\/((-159)\/265*10\/3)\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-8\/3)*z*z**(-9))\/(z\/z**(-1\/9)*z**12) assuming z is positive.\nAnswer: z**(-205\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 17064185204.\nAnswer: 17064185199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 6:56 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 35.1. Let g = d + -2.4. Let t = -133 - -271\/2. Sort g, -4\/5, t in descending order.\nAnswer: t, g, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 + 2000?\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/((-1648)\/(-7210)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 17. Find the second derivative of -1 + 41*f - 46*f - 2*f**t + 1 wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -69, -283, -645, -1161, -1837, -2679, -3693?\n\"Answer: -f**3 - 68*f**2 - 3*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 218 by 1.\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/29, 5, 113, -1\/4 in descending order.\nAnswer: 113, 5, -3\/29, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -136192+22455\nAnswer: -113737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311*i = -41*i + 28632736. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 2 = 7*p. Suppose -3*v + 15 = 0, -p*f - 25 = -5*v - 10. Suppose -4*d = 3*c - 19, 4*d - f*c + 6 = 17. Is d at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43215 divided by -43.\nAnswer: -1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 2*q - 2, 29*g + 2*q = 31*g - 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -5*r + 11, -82*r = -2*h - 86*r - 22 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -31.917, -0.2, 7?\nAnswer: -31.917","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*t**2 + 5*t**4 - 1 - 2*t**3 + t - 95*t**2 + 6*t**3 - 2*t**3 in the form r*t + m*t**3 + z + q*t**2 + f*t**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109750073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.9743 - 0.0257. Which is the closest to p? (a) -4 (b) -0.1 (c) -0.3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25.009 - -0.009. Let l = 29.9 + k. Round l to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 248\/24)\/(5\/(-45)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r - r)*(-1 - 5 - 11)*(r + 182*r + 61*r).\nAnswer: 4148*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 10095947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.54198 to 2 dps.\nAnswer: -35.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i - 5 = 5*l, 0 = -i. What is the nearest to l in 0.5, 4, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*w - 26*w - 16026. Suppose 2*m - 7*m = -q - w, 3*m = q + 3206. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -3*y**5\/20 - y**4\/12 + 9*y + 8. Let s(b) be the first derivative of m(b). Determine s(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 410 + 5?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -22, -58, -118, -208, -334?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2029*-7 + -6 + 0 + 9. What is m rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z - 3*z + 3*z - z + 23*z - 11*z - 1 + (-6 + 0 + 4)*(0 - z + 0).\nAnswer: 8*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 670269862 to the nearest integer?\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 97. What is the greatest common divisor of a and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -10, 1\/5, -14 in descending order.\nAnswer: 1\/5, 0.1, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1671970 and -0.242.\nAnswer: 1671969.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23149240 is divided by 5787310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -12, 2\/11, 0.1, 2, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57065 is divided by 65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91435 by 71.\nAnswer: 91435\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 481.\nAnswer: 1924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -10. Suppose 48 = v*c - 6. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.1 (b) -2\/15 (c) -2\/201\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.186458314 to 4 decimal places.\nAnswer: 1.1865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 51*n - 107 - 49 = 0. Sort -2, n, 58, 0, -3 in increasing order.\nAnswer: -3, -2, 0, n, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*b - 102 = -147*b - 5*y + 186, -4*y = 0 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 8:44 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 1631085*o + 13048681. What is a(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1867, 3790, 5749, 7744, 9775?\n\"Answer: 18*k**2 + 1869*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m - 8. Let k(t) = -3*t - 7. Let d(n) = 6*c(n) - 7*k(n). Let j be d(-1). Suppose 5*r + j*q = 12511, -4*q + 10 = 14. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h. Let f(x) = 114*x**2 + 14*x + 12. Let s(l) = -f(l) + 3*q(l). What is the second derivative of s(u) wrt u?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 10) to base 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -173*z**6\/2 - 2*z**3\/3 + 157*z - 327. What is the third derivative of r(v) wrt v?\nAnswer: -31140*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5746 by 394.\nAnswer: -2873\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -5.5. Let j = -7.99 + 8. Let w = 1.99 + j. What is the nearest to -1 in w, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, 0.469, -4\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424*k + 138*k + 137*k + 149*k + 174*k**2.\nAnswer: 174*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-67)\/1)\/((-448)\/(-128)) + 6\/42.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) 3 (b) -19.55 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*o + 11 - 10, 14 = 3*o - 2*x. Calculate the highest common factor of o and 1072.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -543, -563, -583, -603?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -367 + 470. What is the greatest common factor of 2369 and r?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 103*m**4 + 151 + 127 + 673 wrt m.\nAnswer: 412*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1798767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 13*l**3 - l**2 - 2. Let m be (-1)\/((-6)\/10 - 60\/150). Let t be d(m). Solve 4*w + 3*r + 8 = 0, 0*r - r = -5*w - t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3280 - -3280.4. Put -4\/5, 10, o, 4, -0.1 in decreasing order.\nAnswer: 10, 4, o, -0.1, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 200 + -182. What is the greatest common divisor of l and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**4\/12 + 10*u**3\/3 + 4*u**2. List the prime factors of r(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30535 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4529 - -7474. Suppose -60*y + 13265 = n. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3*sqrt(117) + sqrt(13) + 1 + sqrt(52) - (sqrt(13) - -2*(sqrt(13) + 0) - (sqrt(13) + sqrt(832)*-1))))**2.\nAnswer: -16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45865 is divided by 8880?\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 8. Suppose l = 2*j, 5*j + b*l = -l + 14. Suppose 3*u - 12 = 3*y, 3*y - 6 = j*u - u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -10. Suppose 6 = m + 3*r, -j*m - 3*r + 20 - 2 = 0. Let d be 12\/(-4) + 9\/m. Solve d*l = -3*l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -239, -76, -3, 12, -0.4.\nAnswer: -239, -76, -3, -0.4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 4:43 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -1, 0, -5203, 2, -2, -38 in increasing order.\nAnswer: -5203, -38, -20, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-330)\/(-70))\/((-48)\/224)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7*k. Let q(y) be the second derivative of y**7\/504 + y**4\/6 + 41*y**2\/2 + 80*y. Let a(l) be the third derivative of q(l). Give a(u(n)).\nAnswer: 245*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - q - 2. Let f = 7 + -4. Let j be c(f). Suppose -3*u - 6 = 2*s, 0 = j*u - 3*s - 3 - 6. Is -1\/6 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1053) - -1*sqrt(1053)) + sqrt(1053))*1 - 5*(3 + sqrt(1053)))**2.\nAnswer: 540*sqrt(13) + 4437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 570*s - 49581. Determine m(87).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 - 3 + 5893*d + d**2 - 5895*d to x*d + l*d**2 + k and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 5*c = -8*j - 8*c - 172, 5*c - 4*c - 247 = 3*j for j.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61480045 is divided by 11012?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 0*p**6 + 0*p**5 - 5\/7*p**7 + 0*p**3 + 25*p - 4\/3*p**4 + 0 + 0*p**2. Find the third derivative of a(z) wrt z.\nAnswer: -1800*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 98361*w**2 - 98124*w**2 - 4.\nAnswer: 237*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35320 + 225800 = 17*f + 15*f. Is f a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13471 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 12. Suppose 2*r = 5*m + c, 1 + 3 = 4*m. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*h - 1734 = 19527, -2*u - 5*h = -8523. Suppose -4*c = -2*o - u, 3*o = c - 1316 + 240. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1318 divide 335862218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 266993060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 7:45 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 211 - 93. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + j + 2. Let p(q) = -1206*q**2 + 67*q + 134. Calculate 67*d(a) - p(a).\nAnswer: 1273*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**2\/2 + 15*w - 3. Let a be z(14). Let b(s) = -s + 2. Let q be b(a). Are q and 1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 - l. Let x(v) = -v**2. What is -2*h(r) + 6*x(r)?\nAnswer: 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 19179705, 0.2 in decreasing order.\nAnswer: 19179705, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1122485 is divided by 102042.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 10*t**2 + 9 + 4*t**2 + 122*t + 5 - t**3 - 146*t. Let x be n(12). Solve 13*l = x*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 731 a factor of 39411865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 20*v + 5. Let i be u(5). Let n be 4\/(-6)*i\/(-14). Factor 14*h**4 - 6*h**4 + 6*h + 12*h**3 + 15*h**2 - n*h**4.\nAnswer: 3*h*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/1416 and 85\/12.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + -4.9. Let k be 2\/6 + (0 - 0). Let s be 49\/21*((-5840)\/420 + 14). What is the third biggest value in s, n, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -520 + 463. Which is the third smallest value? (a) f (b) -3 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42162 and 307.\nAnswer: 12943734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -t + 19. Suppose -5*j = -4*j - t. Suppose j = 2*n + 2*n. Calculate the greatest common divisor of 39 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10692, -21799, -32910, -44025, -55144, -66267?\nAnswer: -77394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26062\/27 or -966?\nAnswer: -966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i**2 + 12 - 12.\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -362 (base 12) in base 14?\nAnswer: -282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + -0.3. Let m = z + 0.7999998. Round m to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, k: 1, c: 1, g: 1, q: 4}. Give prob of picking 1 k and 1 q.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -571 (b) 2\/9 (c) 4 (d) -1\/6 (e) -0.9 (f) 0.044\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*u + 38*u - 19 = 0. Calculate the greatest common factor of u and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + -0.8. Let j = -0.29 + 1.39. Let z = j - p. What is the second smallest value in z, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/16 + 42\/(-1344)*4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4726785 by -5.\nAnswer: -945357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 9*q - 35. Let t be n(6). Let g = t - -23. Solve 20 = g*k - 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 137 - 138. What is the nearest to c in -0.5, -0.1, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 1:46 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**3\/b)*b**(-4))\/(b*(((b*b**0)\/b)\/b*b)\/b)**(-1\/21) assuming b is positive.\nAnswer: b**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 150 = -z + 4*z, -z - 142 = -2*i. Suppose -23*t = -19*t + i. Calculate the common denominator of -19\/18 and t\/4*(78\/14 + -4).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**3 - u + 1. Let o be i(1). Suppose 1 = o*p + 6. Let h(r) = -22*r**3 + 2*r**2 - 1. What is the tens digit of h(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + 3*u**2 - 5*u**2)*(-u**2 + 5*u**2 + 2*u**2) + (-2 + 2 + 2*u**2)*(-u**2 + 4*u**2 - u**2) + 0*u**3 + 0*u**3 + 2*u**4.\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 21 = 25138*w - 25139*w, -22*b + 44 = 0 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -106860 * -1230\nAnswer: 131437800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 6*r**2 + 9*r - 1. Let i be y(7). Let l(d) = -d**3 + 5*d**2 - 3*d. Let q be l(2). Suppose i = q*z - 5*z. Solve 0 = 3*n - 1 + z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + 5 + -310 + 301?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3 = b + 7*s, -2*b - s = -8. Suppose -3*q + 0*d = -b*d + 10, 0 = 2*d - 4. Suppose q = 13*u - 356 + 31. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 130, 458?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16\/7 (b) -0.2 (c) -1 (d) -0.5 (e) 158\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29235331033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -250, -5029, -17994, -43237, -84850, -146925, -233554, -348829?\nAnswer: -496842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21506940 by 275730.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1220698*f. Let a(g) = 3*g. Give b(a(t)).\nAnswer: -3662094*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2, 7, 19\/4 in increasing order.\nAnswer: -2, 0.5, 19\/4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 477.26 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -776, -2, 0, 8\/5, -11\/103 in increasing order.\nAnswer: -776, -2, -11\/103, 0, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a32d695 - 3?\nAnswer: 4a32d692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + s + 10. Suppose -f - 6 + 3 = -z, 7 = 5*z + 3*f. Put 3, s, z in decreasing order.\nAnswer: 3, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**3 + p**2 + p - 1. Let d(w) = -19*w**3 - 16*w**2 + 2*w + 23. Let v(z) = d(z) + 5*k(z). Determine v(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1347 or -830?\nAnswer: -830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 72, 112?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/4*w**4 + 1\/4*w**5 + 3*w**2 - 1\/2*w**3 - 2*w + 0 = 0. What is w?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from ssfssshssfsfsf?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(250) + -2*sqrt(250))*-5)\/((sqrt(250)*2)\/sqrt(2)).\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26100652867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*q**2 - 30*q**2 - 5*q**3)*(14 - 8 - 26*q + 18*q) + (2 - q - 2)*(-2 + 2 - 2*q**3) to c + g*q**3 + n*q + d*q**4 + x*q**2 and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629 is divided by 2\/(-24) + (-181176)\/(-288)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 8:02 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_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: Suppose -5*h = 54 - 159. What is the lowest common multiple of 30 and h?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8*o**4 + 2686*o**3 - 5358*o**2 + 2680*o + 25. Let t(f) = -12*f**4 + 4028*f**3 - 8036*f**2 + 4020*f + 40. Let n(u) = 8*m(u) - 5*t(u). Factor n(r).\nAnswer: -4*r*(r - 335)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118750223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzmzkkkqkzdzzkz. Give prob of sequence zdm.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1702 and 247974.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 301602 = -301810 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18, 38, 70, 114, 170, 238, 318?\n\"Answer: 6*m**2 + 2*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktkdkkkdkdktkddkkkk. Give prob of sequence kkkt.\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 + 2*d + 14*d**2 + 9*d - 9*d**2. Let n(v) = 2*v**3 + 6*v + 2*v**2 - v**3 - v. Let x(s) = -4*b(s) + 9*n(s). Determine x(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -25. Solve 3*q - 9 = 0, w*g + q = -2*g + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 227*h**3*o**2*u**2 + h**3*u - 23*h**2*o**2*u**2 + 41*h*o**2*u + 269*o**2 wrt u?\nAnswer: 454*h**3*o**2 - 46*h**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 5*h + 415. Let t = -141 + h. Let g = t + 131. What are the prime factors of g?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**2\/9 - 124*i\/9 = 0?\nAnswer: -62, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1427*a**2 - 1434*a**2 - 3*a**3 - 24*a + 8 + 0*a + a**3 + 2859*a**2 to the form w*a**2 + h + f*a + b*a**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4\/4 + 25*p**3\/4 + 23*p**2\/4 - 25*p\/4 - 6 = 0. Calculate p.\nAnswer: -24, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5358640 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**3*p*x - 85*l**3*p + 120*l**3*x**3 + 2*l**3*x - l**2*p*x**3 wrt p.\nAnswer: 2*l**3*x - 85*l**3 - l**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17855 * 5\nAnswer: 89275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 808562165 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, h: 1, e: 3, y: 8, b: 4}. What is prob of picking 1 y, 1 f, 1 h, and 1 b?\nAnswer: 8\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4734, -9261, -13368, -16845, -19482?\nAnswer: -21069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -78 and 1\/48 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (608\/38)\/(2\/1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114 - 109. What is the second biggest value in -3\/7, 4, s, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t + 44. Let l be w(6). Differentiate 25*d + 0 + l - 25*d - 2*d**3 with respect to d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (441250\/(-7))\/(87\/(-2436)). Round g to the nearest 10000.\nAnswer: 1770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1435932 or -2871861\/2?\nAnswer: -1435932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + 63 - 63 + 5*r + r + 0*r + (7*r - 3*r - 3*r)*(-3 - 1 + 6) - 1 - 2*r + 1 + (-2 - 2 + 0)*(-1 + r + 1) in the form p + i*r and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010001001001101011001100 - -110?\nAnswer: 10010001001001101011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(637) + -2*sqrt(637) - sqrt(637)) - ((sqrt(637) + 1)*6 - (sqrt(637) + -1 + -3)))**2.\nAnswer: 2002*sqrt(13) + 77246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.1 + -119. Let c = -97 - t. Put c, -9, 0.3 in ascending order.\nAnswer: -9, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.4, -30, 0.3.\nAnswer: -30, -0.4, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -9. Suppose o + 13 = -2*v + 2, 0 = -3*o + j*v - 11. Let z(f) = f**3 + 7*f**2 + 2*f + 5. Give z(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 52\/2006989?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-51972)\/(-71) + (0 - -1).\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15076 is divided by 3009?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 - 12*j + 1. Give k(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -30) + (-2 - 0)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -389822301, -779644601, -1169466901?\n\"Answer: -389822300*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 0.208\nAnswer: -0.1248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d. Let t(u) = 2*u**2 + 7 - 2 + u**3 - 5*u**2 - 2 + u. Let j be t(3). Let s(k) = -k. What is j*s(v) + 2*r(v)?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjtjtejvtjjjetljvl. Give prob of picking 1 l and 2 t.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v - 4. Suppose -v*a + 12 = 4*i - a, -20 = -4*i - 5*a. Suppose i*d + 2*d = 14. What is the remainder when 27 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3753 plus -7?\nAnswer: -6.6247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -92 - -102 - (0 + (4 - -21))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 - 27. Let t = i + -40. Suppose -w + 36 = t*w. What is the lowest common multiple of w and 17?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58 + 637 + 645 + 1127*y - 89*y wrt y?\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*-1*sqrt(95))\/((sqrt(10)*2)\/sqrt(2)) + (sqrt(2736) + sqrt(2736)*1 + 4 + 4)**2 + 1.\nAnswer: 383*sqrt(19) + 11008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.026*16937\nAnswer: -440.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -228*n + 168*n**3 - 108 - 74*n**3 - 23*n**3 - 19*n**3 - 68*n**2 = 0.\nAnswer: -1, -9\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**4\/7 - 22*o**3\/7 + 132*o**2\/7 + 18*o\/7 - 324\/7 = 0. What is o?\nAnswer: -9, -3\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4\/3*y**2 - 1\/3 + y = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56 - 8*c - 56 in the form i*c + h and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 158*f**5\/5 + 435*f**3\/2 - 575*f. Find the second derivative of y(h) wrt h.\nAnswer: 3792*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.3, 3\/5, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 10:34 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3 + (-2 - 3) + 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3172 + -35343931?\nAnswer: -35343930.6828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -7*t**4\/4 + 42*t + 18. Find the first derivative of s(q) wrt q.\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -1114 - 3621. Let z = -608 + g. Suppose f + z = 5*l - f, 3*f = 5*l - 341. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 554 and 1586656.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*z = -4*p + 21, 3*p + z - 13 = 0. Suppose 0 = -g - 4*q + 29, -25 = -5*g + 2*q + 2*q. Calculate the remainder when g\/2*(-10 - -12) is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 5, 2, -1, 83.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28 (b) 3\/38 (c) -2\/7 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/3*9264\/(-13510).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 5*x - 5. Let f(i) = 48 + 18 + 3*i**2 - 66 + 4*i**2. Determine f(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.024791436 to 4 decimal places.\nAnswer: -1.0248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3 = -3*o + 2*r, 2*o = 4*r. Let n = o + 5. Is 1*((-316)\/(-2) + n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13523028 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -265716 divided by 4026.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 996832079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**3\/9 + 46*q**2\/9 + 8*q\/9 - 184\/9 = 0.\nAnswer: -2, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64? (a) 5\/7 (b) -16.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + m + 4 = 0, -4*s + 417*m - 418*m = 19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -886 - -891.15. Let h = 0.4 + -0.25. Let s = h - q. Which is the third biggest value? (a) -0.3 (b) -0.5 (c) s (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + sqrt(126))\/sqrt(7) + 0 + sqrt(2) + 2.\nAnswer: 2 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 2:55 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -1) + -68 + 72?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 160e6af?\nAnswer: -160e6b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1536349284.\nAnswer: 2, 3, 42676369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 equal to 22935\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -624 - -626. Let n(m) = -m**z + 15133 - 15133. Let x(a) = -8*a**2 + 13*a**2 + 12*a**2. What is n(x(f))?\nAnswer: -289*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476992 is divided by 7571.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85607 + 85607 - r**3 + 0*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from {e: 2, u: 3, c: 7, q: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*y**2 - 2*y**3 + 4*y**3 - 1 + 42*y**2 to q*y**2 + r*y**3 + n*y + h and give q.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from eqqjnrng?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(2) + 1 - -1*sqrt(180))**2.\nAnswer: 16*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9*n**2 + 15*n + 56. Let j(b) = -b**2 - 11*b + 20. Let q be j(2). List the prime factors of m(q).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 5, 1\/7, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 503 (c) -0.4 (d) 1\/5 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.7 + 2. Let y = -237 - -374. Let p = -138 + y. Put p, -0.3, w in ascending order.\nAnswer: p, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**3\/3 + 7*r**2\/2 + 4*r + 1. Suppose 5*s + 14 + 11 = 0. Give w(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 305\/2 (b) -86 (c) 701\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3312 a factor of 206737321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 19073*x + 95380. Calculate p(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276674 > 1276634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1261 is divided by 627.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k\/(k*k**4))**11*(k\/k**4)\/(k*k**(3\/5))*((k*k\/(k*k\/((k\/k**(-1\/2))\/k)))\/k)**(-24) assuming k is positive.\nAnswer: k**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 597 - 592. Which is the closest to -2\/5? (a) 3 (b) -6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*c = 8, -5*c - 20 = 5. What is the remainder when -3 + (-3 - (-28 - y)) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + k - 5*k + 0*k)*(-k + 5*k + 4*k) as r*k + a*k**2 + f and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 - (-6 - (-22 - -16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 3) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 301457 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -271 + 286. Calculate the greatest common divisor of h and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14843 - -14851. What is the nearest to 2 in g, 5\/4, -9, 5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17212 (base 11) to base 7.\nAnswer: -130410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 1, -0.2, -0.24, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*y + 79*y + 16 - 2*y.\nAnswer: 117*y + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4584*d + 1901. What are the prime factors of z(-7)?\nAnswer: 41, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 346080955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-14))\/((-5040)\/(-4900))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 2, h: 1, e: 2, c: 1, d: 2, y: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*b + 1)*(0 + 0 - 2*b + (-5*b + 5*b - 6*b)*(-9 - 8 + 1)) in the form n*b + v + q*b**2 and give q.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6456900254?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 7*x + 4. Give b(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 9*m - 9. Let o = -21 + 13. Let z be d(o). Which is smaller: z or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10345 (base 11) to base 6.\nAnswer: -153405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*l**5 - 31695*l**4 - 10069644*l**3 - 37889008*l**2 - 25485888*l - 4775760 = 0. Calculate l.\nAnswer: -670, -594, -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -180.2 - -179.8. Let m = -10.5 + 12. Sort 0.2, m, d, -5.\nAnswer: -5, d, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 5:59 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19815444 and 220.\nAnswer: 99077220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((1 + sqrt(275))**2 + -3) - (sqrt(275) + 2 + -2 + -5)) + -3)*6.\nAnswer: -1626 - 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4 = -36. Let h(c) = 4*c**2 - 3*c + 3. Calculate the remainder when h(3) is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 9*g - 30, -5*q + 5*g - 8*g + 21 = -g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 41.6. Let l = 6.9 - k. What is l rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -15*x + 188. Suppose -x*h + 24 = -8*h. Solve -5*p - 3*k = -29, h*k - 6*k = 5*p - 26 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 3:32 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2501848 to the power of 1\/2, to the nearest integer?\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1655 + 190*f - 1657 - 188*f - 5*f**3 + 3*f**2. Let v(c) = -25*c**3 + 15*c**2 + 11*c - 11. Give -11*a(m) + 2*v(m).\nAnswer: 5*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 334 - 353. Suppose 0 = -0*k - 4*k. What is the biggest value in 4, p, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/5)*o**(2\/9))\/(o*o**(2\/7))**(-14\/5)*(o*o**(1\/2))**(27\/5)\/(o**(-2\/9)\/o**(2\/19)) assuming o is positive.\nAnswer: o**(19579\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 210229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/12 and (27\/(-312192)*4)\/(1\/(-76)).\nAnswer: 6504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 112 or 66?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41869\/3 + -13956. Let x(c) be the third derivative of u*c**3 - 1\/24*c**4 + 44*c**2 - 1\/60*c**5 + 0*c + 0. Calculate x(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 16*i**2 - 23*i - 16. Let o be n(18). List the prime factors of (o\/4)\/((-6)\/(-12)).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u + 5130. Let s = u + 4009\/4. Find the common denominator of ((-206)\/40)\/((-2)\/(-4)) and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 11*m + 4. What is the tens digit of w(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2, -2\/145, -3, -4?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, m: 2, a: 4, f: 1}. What is prob of sequence auaf?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/6 (b) -2\/1547 (c) 37.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2*(-24 + (-14 - -38)). Let y(s) be the second derivative of 5\/6*s**3 + h - 29*s + 0*s**2. Let q(b) = 3*b. Determine y(q(t)).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 134, 176, 256, 386?\nAnswer: 578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 137619020 to the nearest one hundred thousand.\nAnswer: 137600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**4\/24 - 2*o**3\/3 + 2*o**2. Let s be w(4). Suppose -q + 22 = -s*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23)\/(-7) + (-2)\/7. Suppose o + w*o + 16 = 0. Let j be (-94)\/(-30) - 6\/45. Sort o, -5, j in increasing order.\nAnswer: -5, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1235, 1229, 1235, 1259, 1307, 1385, 1499?\nAnswer: 1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (7 + -5 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((4 - -1) + -6)*-167. Let p = m - 134. Suppose 4*x + 37 - 49 = 0. What is the lowest common multiple of p and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 32 = 13. Let s = 11 + b. Suppose -5*i - 4 = s*a - 3, 0 = -4*a + 3*i + 11. Solve 0*v = -a*v + 8, -x - 5*v + 15 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*u**3 + u**2 - 32 - u**2.\nAnswer: -230*u**3 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 11:35 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92708 and 2464.\nAnswer: 741664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (426\/(-8))\/(81\/(-1152)*20\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 87784, 2 in decreasing order.\nAnswer: 87784, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*j**4 + 451*j.\nAnswer: 408*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -5*z - 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 20 = -j, 0 = -4*j - 0*j + 5*f - 25. Suppose g - 4*x - 27 = 0, j = 3*x + 12. Calculate the remainder when 21 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/2 - 49*r**2\/2 - 184*r - 160.\nAnswer: -(r + 1)*(r + 8)*(r + 40)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 6*k**2 + 15.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 21552*w**2 - 38707392*w - 23172825344.\nAnswer: -4*(w + 1796)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*c - 76 = -344*c. Solve 4*u + 4*k = 0, -5*u = -3*u + c*k - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152\/12*(-36)\/60)\/(8\/40)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 - 56.8. Let d(w) = -13*w + 30*w - 17*w - 2 + w**2. Let z be d(0). Put h, z, 0.02 in decreasing order.\nAnswer: h, 0.02, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 2, z: 1, j: 1, f: 2, w: 8}. What is prob of picking 1 f, 1 w, and 1 q?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001091 to six decimal places.\nAnswer: 0.000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310002120 - -1?\nAnswer: 310002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 + 3 = -2*h, q - h + 12 = 0. Let z(d) = -d**2 - d + 1. Let g(l) = -17*l**2 - l + 7. Let u(r) = -g(r) + 6*z(r). Is u(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -321 + 460. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -6*u**5\/5 - 41*u**4 + 41*u**3\/3 - 13*u**2 + u + 4158. What is the third derivative of m(d) wrt d?\nAnswer: -144*d - 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*k - 11*k + 4*k**4)*(1 - 3 + 5).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12413410 (base 5) to base 15.\nAnswer: 2668a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*d + a - 2, -5*d = a + 15. Let c(q) = -q**3 - q**2 + 2*q - 3. Let x be c(d). Solve 3*v - x = 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -133997.\nAnswer: 5\/133997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*w - 65360 = -281*w. What is the greatest common divisor of 3648 and w?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -9358.\nAnswer: -2\/4679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jlxmmwajmmlwllmla. Give prob of sequence xaa.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 11. Suppose 0*g + l*g = -2. What is the tens digit of (-25)\/g + 2 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 356.666 + -356.466. Let p = 3 + 2. Which is the nearest to 55? (a) p (b) -0.4 (c) u (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 190, -0.02, -3\/832?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -47331552.\nAnswer: 47331548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -25, 0.3, 0.2 in descending order.\nAnswer: 1, 0.3, 0.2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 473\/24 - 7\/8. Calculate the common denominator of h and -19\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 394 - 392. Suppose -s*k + 1747 = -609. What is the greatest common factor of 62 and k?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1348 divided by -372.\nAnswer: 337\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 29023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 21125*x - 295889. What is p(14)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14381 and 3349.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 164, -0.2, -0.3, 0?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -18*y + 658. Determine x(41).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.064, 4\/7, -0.063, -0.1?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) 0.4 (b) 1.8 (c) 12360 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1049031 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 x, and 1 j when three letters picked without replacement from {j: 1, d: 4, x: 1, a: 2, y: 5, b: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5) + (-27 - -37) + 2 + -116.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -131*j - 2. Let g(m) = -396*m - 7. Determine 4*g(y) - 11*u(y).\nAnswer: -143*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, -0.1, 0.3, 13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**3\/3 + 15*b**2\/2 - 24*b + 2. Let c = -91 + 74. Is w(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37797 (base 16) in base 8?\nAnswer: 673627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13\/139 - -4313\/1529. Find the common denominator of -25\/9 and q.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 160394 + 134112. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (190\/5225)\/((3\/36)\/((-75)\/30)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3043992 is divided by 42.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13086963 and 1233?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 853 + 4748 = -204*m + 22*m - 769 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 1104773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(2\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972091 is divided by 275?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 122693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c**2 - 31*c**2 + 8*c**2.\nAnswer: -43*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1980 is divided by 659?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 420871583357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35\/3 + 12. Let l(g) be the second derivative of -1\/10*g**5 - r*g**3 + 0*g**4 + 0*g**2 + 0 + g. Find the second derivative of l(n) wrt n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 5 = 10*q. Suppose -o + 4*x = -16, -q*o + 4 + 1 = 5*x. Suppose -o*g - 5*n + 11 = -4, 5 = -5*n. Solve -16 = m - g*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100 + -165. Let x = v - -140. Does 8 divide (x\/6 + -2)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.565843 to three decimal places.\nAnswer: 3.566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5316000*n*o**2*t**5 - 857429*n*o**2*t**2 + 20*n*o*t**2 + o**2*t**3 - o**2*t wrt t.\nAnswer: 318960000*n*o**2*t**2 + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 2:46 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 620 and 124.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*a + 19*a + 26*a to j*a + v and give j.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.18, -5\/2, -2, -2\/13?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6675705 divided by -12249?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 1 + 19 = 0. Suppose 6 = 7*m - 4*m. What is the least common multiple of m and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (4 + -1 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 + -61. Calculate the lowest common multiple of k\/((-18)\/16 - -1) and 49.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2117.164nm?\nAnswer: 0.0002117164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 12:21 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -169924 + 292973. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 136 - -14. Suppose 4*f - f - 2*p = 141, 0 = -3*f + 5*p + b. What is the remainder when f is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 * 3\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4557, 9114, 13671, 18228?\nAnswer: 22785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/275)\/(118\/(-16225)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 9:30 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = s + 22. Let v = s + 38. Calculate the highest common divisor of v and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 28*l**2 + 28*l + 32. What is the least common multiple of y(-27) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.44 + 1201.44. Let f = s + -1246.7. Round f to the nearest integer.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -78, 0.019, -8?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3*(-47 + 3)*(-8)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6130343 months in millennia?\nAnswer: 0.000134419525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 183287\/12 + -15284. Let a = 173165\/18 - 9613. Calculate the common denominator of c and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, t: 2, j: 2}. Give prob of sequence jdt.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-4\/13)*r*r)**(-1\/2)*r*r**8*r**(-30)*r assuming r is positive.\nAnswer: r**(-288\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.16 times -139?\nAnswer: -578.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**2 - 24*t = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 3*u + 403 - 418 = 0, 0 = -7*x + u - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**2 + 2 + 2*j**3 - j**3 - 4 - 3*j**3 - j**4 in the form y + a*j + g*j**4 + z*j**2 + x*j**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 2\/73, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 865, 2386, 4723, 7876, 11845, 16630?\nAnswer: 22231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164267256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 f, and 1 x when four letters picked without replacement from xxxxmxxmxfxmmfm?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 4*y**2 - y**2 - 114265*y**3.\nAnswer: -114265*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1283*j = -1211*j - 792 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*f - 118*f = 27 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 1 - (-19 + 9)*3\/(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36105815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -2) + (7 - (1 + 0 - 1))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -4) + 4 - 4. Suppose -5*n - 35 + 95 = s. Suppose 3*u - n = -u. Do u and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.04 + -4. Let n = -751 - -748. What is the closest to -2 in n, 2, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.01 times -213?\nAnswer: 1706.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 197.9 - 198. Let z be (-12)\/18*3\/25. Put -5, z, m, -2\/19 in increasing order.\nAnswer: -5, -2\/19, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -10*u**4 + 2*u**3\/3 + u**2 + 5*u + 37. Is 47 a factor of d(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6028 - -6029. Which is the third biggest value? (a) -2 (b) 3 (c) p (d) -96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 9:00 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 5:22 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 17. Let v(d) = -3*d - 5. Let g be v(-4). Let w(a) = -a. Let l be w(g). Does 7 divide m(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/7, -8\/3, 10.\nAnswer: -8\/3, -11\/7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -3 + 15 + 32 + -75.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4)\/(4\/(-112)*7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -60. Suppose x + 4*x + 5*g = 50, -p = -4*x + 2*g. Is (x - 110)*2\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497284694 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 760*x**2 - 6*x - 17. Let t = -281 - -278. Is g(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -367\/65 - -29\/5. Let m = -13 - -12.6. Which is the nearest to l? (a) 3 (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 0.1. Let s = -47 + 51. Suppose -s = -19*q + 91. Which is the second smallest value? (a) f (b) 21 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (119\/21)\/((-1)\/(-12)). Let k(t) = -4*t**3 - 17*t**2 - 19*t + 25. Let i be k(-4). What is the greatest common factor of i and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3\/8 (b) 1.38 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2) + -1 + 2 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*m - 3*u, 4*m - 2*u = -21 + 39. Solve -m*q + 5*z + 35 = 0, 2*z + z - 11 = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/51*9\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1332 and 2.63.\nAnswer: 0.350316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13475283*x**2 + x - 3217361?\nAnswer: 26950566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + k**2 + 0*k**2 + 189 - k**2.\nAnswer: -2*k**2 + 189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.475953 to 2 decimal places.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 41?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6601 times 66\nAnswer: 435666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -16769.1692 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.936259 millilitres?\nAnswer: 0.000936259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 129.257 and -73.\nAnswer: 56.257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 - 195506 - 15*p**3 + 195506.\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1695280 divided by 3\nAnswer: -1695280\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848698 is divided by 1150?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10021220 + 11?\nAnswer: 10022001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3938.8 + 4462. Let j = k + -573. Round j to the nearest integer.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1390593 + -2572218.\nAnswer: -2572217.8609407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.032 * -5\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 1126.42473.\nAnswer: 1126.22473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6056\/96 + 3\/12. Let t(q) = -18*q + 225. Let l be t(9). Is l at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59*y**5 - 5365*y + 0*y**2 - 2*y**2 - 6447*y - 3550*y + 11*y**3 + 2876*y wrt y?\nAnswer: -1180*y**3 + 66*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*h - 21 = 0, u + 2*h + 0*h - 1 = 0. Suppose 2*z = u*s - 2*z - 190, 2*z = 3*s - 114. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.18 - 1.58. Let p = m + 1.38. Let d = -0.28 + p. Which is the smallest value? (a) -10 (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 10 + 2 = h, -h = -5*n. Are n and -3\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4725 - 4721. Let z(d) be the third derivative of 0*d - 5\/8*d**c + 0*d**3 - 19*d**2 - 1\/12*d**5 + 0. Factor z(f).\nAnswer: -5*f*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 130.\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 3\/2 (c) -2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 43860?\nAnswer: 43860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1137697?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 231 - -248. Round i to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(315) + sqrt(315)*-1)\/sqrt(5))\/(sqrt(99)\/(sqrt(22)\/sqrt(2))) + -4 + -4 + sqrt(700)*2 + sqrt(700) + -2)**2.\nAnswer: -600*sqrt(7) + 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 99041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from {s: 1, g: 1, q: 2, r: 1, h: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -10. Suppose 6*m + 86 = 14. Let y = p + m. Solve b = n - 2*n, y*b - 1 = -3*n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -623.3 rounded to the nearest 10?\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*2 + -1)**2 - ((-2*sqrt(66) - sqrt(66))\/sqrt(6))**2.\nAnswer: -54 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -222110022?\nAnswer: 222110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1.7. Let b = 4 - 8. What is the second smallest value in 3, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25890 divided by 2\nAnswer: -12945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrrr when four letters picked without replacement from tthcdwtrwrwdrwt?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 - 97*f - 9409\/2.\nAnswer: -(f + 97)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -446 - -1834. Let w = -877 + c. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**2*m**3 - 797*d**2*m**2 + 12*d**2*m + 8*d**2 - 945*d*m**3 - 53 wrt d?\nAnswer: 2*m**3 - 1594*m**2 + 24*m + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 8*b = 0. Suppose -14*m + 10*m - 24 = b. Let o(t) = t**3 + 5*t**2 - 6*t - 6. What is o(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -25. Which is the closest to 0.2? (a) 3 (b) q (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/2341087 and 58\/159103?\nAnswer: 16387609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-148)\/(-40) + -3 - (-4)\/(-40). Put -3\/4, 0, -125, x in ascending order.\nAnswer: -125, -3\/4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/3, -2\/3, 0.06, 3.02 in increasing order.\nAnswer: -2\/3, -1\/3, 0.06, 1, 3.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8 (b) -5 (c) -0.07 (d) 1\/32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**4 + 0*x**4 - 2*x**4)*(6 - 6 + 3*x) + 2*x**2 - 2*x**2 - 1503*x**5 + 1659*x**5.\nAnswer: 150*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5198318?\nAnswer: 2, 397, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-685*g + 516*g - 865*g)*(-4*g + 4*g - 2*g**2) - g**3 - 2*g**2 + 2*g**2.\nAnswer: 2067*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*6\/(-18)*1\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6264)\/232*(-2)\/117?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 910904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.47649 times -0.3\nAnswer: -0.142947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36355\/6 or -6058?\nAnswer: -36355\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29729 is divided by 1143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -29*b**2 - 16484*b + 82517. Calculate r(5).\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o - 12*o + 6*o - 15)*(1 - 4 + 1)*(0 - 2 + 3) in the form f*o + i and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*b - 3157, 2933 = 5*b + 4*x - 4902. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 4. Let r be b(2). Differentiate -3*g**3 + r - 3 + 0*g**3 + 6 with respect to g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26173782 divided by -6?\nAnswer: -4362297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 433*x**2 - 1 + 67*x**2 + 4 in the form w + j*x**2 + v*x and give j.\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 76019851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, t: 2}. What is prob of picking 2 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 38 = -2*b + 5*f, f - 23 = 3*b. Let j(y) = -y**2 - 5*y + 9. Let v be j(b). Let p(z) = 6*z - 95. Let w be p(15). Is w less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -15d01?\nAnswer: -15d00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32881 or -32882?\nAnswer: -32882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 5*p - 3. Let b be i(3). Let f = 5229 - 5225. Suppose -b*k - 33 = -v, 2*v - 34 = -v - f*k. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(440)\/sqrt(10) + sqrt(99)\/(6*sqrt(9)*-3).\nAnswer: 5 + 35*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a decade in months?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439 - 2*i - 439.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 14 - 34. What is the first derivative of -16 + 32 + f*y**4 - 22 wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6500 + 873*n + 466*n - 357*n - 6096 with respect to n.\nAnswer: 982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(13\/(1\/(-1))). Is -1 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 355146, 355140, 355134, 355128, 355122, 355116?\n\"Answer: -6*l + 355152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.7 - 1.18?\nAnswer: -33.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 763?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6291 (base 16) in base 9?\nAnswer: -37546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*v + 23 - 17*v + 25 to o + y*v and give o.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -26 + -8?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2058*w - 1924*w = -3514*w - 23103 + 639 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -92*y + 274. Let j(k) = -133*k**2 + 1. What is o(j(f))?\nAnswer: 12236*f**2 + 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 2:04 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*m - 19*m - 3*h + 31, -h = -5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 50614*q**2 - 2*q - 27392*q**2.\nAnswer: -78006*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than -57490.98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -36443687466 and 4?\nAnswer: 36443687470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55518 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*i**2*k**3 - 3*i**2 - 13*i*k + 29625*k**4 - 17*k wrt k.\nAnswer: -30*i**2*k + 355500*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6111*i**2 - 4672*i**2 + 1508*i**2 - 2006*i - 66*i wrt i.\nAnswer: -18550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-2)**2*5 + sqrt(847)*-1.\nAnswer: -11*sqrt(7) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -39\/4, 5, 0?\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0765918 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29376.940243 - 29213.9412. Let a = -163 + x. What is a rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 - 9*b + 2. Let r be c(6). Let k be 1\/((-2)\/r*2). What is the units digit of (-6)\/k*(-15)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 equal to 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdg when three letters picked without replacement from ggeebeexgdxdfxdxxfee.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 - 0.44043.\nAnswer: -0.55043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13668 and 13132?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 1554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 69 = -3*n. Let m be (-11)\/n - 2\/(-14). Which is the closest to -1? (a) m (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/5))**37\/(w\/(w*w**(-2\/19)*w))**(-5\/2))**(6\/17) assuming w is positive.\nAnswer: w**(7161\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003297 rounded to 5 dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 294\/115?\nAnswer: 294\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 12:58 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((f**2 + 2*f - 2*f)*(1 + 1 - 1) + 820*f**2 - 1996*f**2 - 2616*f**2)*(-2*f - f + 2*f) in the form c*f + b*f**2 + r + j*f**3 and give j.\nAnswer: 3791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/5 + 872*h**3\/5 - 61752*h**2\/5.\nAnswer: 2*h**2*(h - 62)*(h + 498)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*c + 4. Let u(z) = -5*z - 3. Let m be u(c). Suppose 0 = -v - 4 + m. Solve 4*j + 11 = -d - 4, 9 = -3*d - v*j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-11)\/(-2) - (-12)\/(-8)) + 3. Solve -9*s + 2 = -q*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -301641380 and -1.\nAnswer: -301641381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11.22 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 24 * -10.81241\nAnswer: -259.49784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/46996 and -73\/176235.\nAnswer: 704940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**5 - 3*v**5 + v**5 + 0*v**5 + 0*v**5 + v**5 + (3*v + v - 3*v)*(2*v**4 - v**4 + v**4) - 90*v**2 - 4 + v**3 + 90*v**2 - 2*v**5.\nAnswer: 3*v**5 + v**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - -15) + 52\/(-7) + 27\/63. Solve 13 = -p*h - 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z. Suppose 0 = -4*b + p + 5, 2*b + 0*p + 2 = 2*p. Calculate the remainder when w(-4) is divided by (b + 1)\/(9\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + f - 1. Let y(h) = -h**2 - h + 1. Let v(j) = -4*i(j) - 5*y(j). What is the remainder when 86 is divided by v(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5963 is divided by 169?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = m - u + 16, -3*m = -4*u + 8. Suppose 0*a = -3*s - a + 3, -m*s - 3*a = 1. Solve -6*r + 11 = -3*l - s*r, 8 = -l - 3*r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 1. Let y be ((-3)\/(-48))\/(1\/6). Which is the nearest to f? (a) -0.3 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 8. Suppose 0 = y + 4*y. Calculate the remainder when -1 + 23 + y\/2 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfsqafqffqafq. Give prob of picking 1 a and 1 q.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.093 + -0.007. Which is the closest to x? (a) 0.1 (b) -2\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2 - 0. Let o(n) = 2*n. Is o(s) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388745?\nAnswer: 5, 7, 29, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14*(-4)\/(-7 - -3). Suppose 4*o + 2*m = 80, 0 = -3*o - m + u + 46. Suppose -2*i + 0*j + 9 = j, 3*i + 4*j - 26 = 0. Solve 7*p - i*p = -o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 136*x + 537. What is j(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -1047*s**2 + 2238474*s + 25656 = 0.\nAnswer: -4\/349, 2138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 7*a**3 - 10*a**2 - 13. What is the second derivative of m(c) wrt c?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78948\/875007)\/(2\/7).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 494\/1729*(-3)\/((-9)\/7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2. Let i(l) = -4*l. Let m(u) = -u**2 - u. Let t be ((-27)\/(-18))\/((-6)\/(-16)). Let x(f) = t*m(f) - i(f). Calculate x(b(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23578 + 23576.2. Which is the closest to 0.1? (a) -1\/3 (b) 6 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101715 is divided by 18575?\nAnswer: 8840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**3 - 2*f**2 - 2*f + 1. Let r = 34 - 37. What are the prime factors of q(r)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43690 and 85466378.\nAnswer: 8738","meta":{"dup_signals":{},"source":"numbers__gcd_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 -25970600 rounded to the nearest one hundred thousand?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -26983*y**2 + 11. Let a(q) = -14*q. Give a(r(f)).\nAnswer: 377762*f**2 - 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 123740, 123738, 123736, 123734?\n\"Answer: -2*y + 123742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-20)*20\/12.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 21 = -3*s, 0*l = l + 2*s + 1. Solve 2*u - 4 = 0, 6*u - u - 13 = l*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -6*n - 0. Suppose -2*d + 5*i = -20, 5*d + 0*i - n = i. Suppose -6*u + 3*u + 720 = d. What is the greatest common divisor of 30 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1184\/(-6)*(-33)\/3696*21?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Which is the closest to -98? (a) -0.2 (b) -0.0366 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9)*t*t*t**(-13)*t*(t**(2\/5))**(1\/15))**31 assuming t is positive.\nAnswer: t**(-44113\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (18\/9)\/(-1 - -1 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 10, u: 9}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u - 3. Suppose -u*c + 5*c = 0. Is c at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 51*l**3 - 37*l**2 - 3*l - 3. Let i(j) = -101*j**3 + 74*j**2 + 7*j + 7. Let g(r) = -7*d(r) - 3*i(r). What is the third derivative of g(x) wrt x?\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-1 + 2*f + 1) + 3*f + f - 2*f + (2 - 2 - 3)*(22*f + 21*f - 26*f).\nAnswer: -53*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30234806 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3\/(-12) + 10998\/24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 16. Let a be p(8). Let y(l) = l - 6. Let t be y(a). What is the remainder when 33 is divided by t*(20\/(-8) + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 184\/5. Calculate the common denominator of -12\/7 and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2690727 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p + 7. Determine t(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 81.00962 millennia?\nAnswer: 972115.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 - 584. Let z(y) = -18*y**2. What is u(z(t))?\nAnswer: -648*t**4 - 584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*a - 2*a. Let g = 69 - 228. Let r = 1429\/9 + g. Do a and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5\/4 + 392*a**4 + 1964*a**3 + 7075*a**2\/2 + 11009*a\/4 + 1573\/2 = 0 for a.\nAnswer: -2, -1, 1573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4909, 8182, 11455, 14728?\n\"Answer: 3273*u + 1636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 139*k + 2 - 390*k + 147*k to the form s*k + b and give s.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13043 * 9271.\nAnswer: 120921653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.66048 millimeters in centimeters?\nAnswer: 2.066048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4366606 (base 8) to base 12.\nAnswer: -487b1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/36)\/((-21)\/24)*1617\/396?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 249550 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**2 + 180*f - 31. Calculate x(45).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 211269114, 211269111, 211269108, 211269105?\n\"Answer: -3*s + 211269117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1468898*b**5\/5 + 267373716*b**4\/5 + 272109698*b**3\/5 + 1248216*b**2 + 7240*b = 0. Calculate b.\nAnswer: -181, -1, -10\/857, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p - 1 = 21*p, -f + p = 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 6*m + 3. Let i be f(6). Suppose -4*d = -5*n - 1, 5*n - i*d + 6 = -4*d. What is the second biggest value in -4, 0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + w**3)*(4676*w + 70*w**2 - 4676*w - 2).\nAnswer: 70*w**5 - 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4060, 9754, 19246, 32536, 49624, 70510, 95194?\n\"Answer: 1899*a**2 - 3*a + 2164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*1\/10)\/(21\/(-14)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*h - 5852 = -h. List the prime factors of h.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-9)*66\/(-55). Suppose 3*t - 4 = 8. Suppose 3*j - 14 = -4*d + 3*d, 0 = y*j + t. What is the remainder when 50 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 726668 (base 16) to base 14\nAnswer: dd238c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, t: 4, r: 1}. Give prob of sequence at.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 220, 7, 3, -2, -0.3, -2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4968930, 9937871, 14906812, 19875753?\nAnswer: 24844694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13\/4 - 9\/(-12). Let p(f) = 3*f + 5 - f - g*f - 3. Calculate p(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.30060261 to one dp.\nAnswer: 12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2561868.\nAnswer: 2, 3, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + (4*-1*sqrt(152) - sqrt(152)) + sqrt(152) + -5*(sqrt(152)*2 + sqrt(152)))\/((5*sqrt(800) - sqrt(800) - sqrt(800))*4 - sqrt(800)))**2.\nAnswer: 1539\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354259.\nAnswer: 354259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -9. Suppose 0 = 3*n - t + 5. Let 0 - 2\/5*y + 8\/5*y**n = 0. What is y?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h**3 - 2*h**2 + 2. Determine y(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1609 + -1285. Calculate the highest common factor of 36 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/3)\/n**(-1\/13)*n**4\/n**(3\/7) assuming n is positive.\nAnswer: n**(905\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 divided by -6?\nAnswer: -119\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*n**2 - 38*n + 61*n + 5*n**2 wrt n?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*r - 16, -g - g - 5*r - 22 = 0. Calculate the remainder when 21 is divided by 48\/20*(-20)\/g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6876579 to the power of 1\/3, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-2 + 3 - 2)*(1 - 2*l**2 - 1)*(2 + 6*l**2 - 2).\nAnswer: -24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31420.09 centuries to years.\nAnswer: 3142009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 6130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 7:27 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 - -83. Let i(r) = -2*r - 1. Let u be i(-3). Let z(h) = 2*h**3 - 6*h**2 + 7*h - 3. Let f be z(u). Calculate the highest common divisor of f and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/6 - 136\/(-48). Suppose 5*v - 25 = 2*y, 2*y + 7*v = h*v + 20. Solve -12 = 3*j, -5*c + j + 29 = -y*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5791 or 0.05?\nAnswer: 1\/5791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101000100 - -101?\nAnswer: -10100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 201 = 236. Suppose i*a + 109 = 137. Put a, 17, -4 in increasing order.\nAnswer: -4, a, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5220 + 5*k**2 - 5331*k**3 - 181924*k - 5*k**2 + 181924*k wrt k?\nAnswer: -15993*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*w**2 - 57*w**2 + 55*w**2 to p + g*w**2 + q*w and give g.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062905760 a multiple of 3360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -195012 < -194836?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 660*t**3 - 7*t**2 + 6*t**2 + 0*t**2 + 2*t**2 - 3*t**2 - 4812 wrt t?\nAnswer: 1980*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, o: 5}. What is prob of picking 2 x?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7895.276ml?\nAnswer: 7.895276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3780\/360*1\/(-3)*4\/49.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 13*g + 43. Let s be p(-3). Solve 2*m + 4 = -s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0.5 (b) -0.5 (c) -5 (d) -0.2 (e) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 5:34 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = 8. Let k = f + 15. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3. Let d(t) = t - 24. Suppose -3*k + 28 = -44. Let o(q) = k*v(q) - 3*d(q). Let f(u) = u. Determine f(o(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 - 121\/(121\/(-11)). Suppose 0 = -0*k + 2*k - 48. Suppose 2*j + k = d*j. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*o + 3*f, 3*f - 25 = 7*o - 6*o. Let h = 36 - 107\/3. Determine l, given that 0 + 0*l + 0*l**4 - 1\/3*l**3 + h*l**o + 0*l**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*h - 3*h. Let j be 2 + (-22)\/h + 370\/600. Is j bigger than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8153010.\nAnswer: 2, 3, 5, 157, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -1 + (74 - 73)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/9)\/((-2)\/6). Let d be (-10)\/5 + (0 - -7). Suppose 15 = 4*n - d. Put m, -2, n in descending order.\nAnswer: n, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -55. Let u be p\/(-7) + (-4770)\/84*2. Let f be (4\/8)\/((-3)\/u). Calculate the highest common divisor of 285 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**4\/3 - 3344*r**3\/3 + 58524*r**2 - 1464976*r\/3 - 19995248\/3 = 0. Calculate r.\nAnswer: -886, -7, 26, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 2:20 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5 - 4*h**4 - 2*h**3 + 6*h**2 + 1 + 2 + 2*h = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**13)\/(h*h\/(h\/(h**14*h)))*h**(19\/4)\/h**(-8\/9) assuming h is positive.\nAnswer: h**(131\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(4\/3 - 0). Suppose -7*i - 28 + 77 = 0. Suppose l*j = -x + 11, -j + 2*j + i = 3*x. Solve -j*g + 2 = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 - 11*c**2 - 6*c - 11. Let t(x) = -x**3 - 6*x**2 - 3*x - 6. Let r(y) = -7*t(y) + 4*v(y). Calculate r(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17628 by 52.\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-364 + 681 - 347)*(9*j - 14*j - 4*j)*(2*j**4 - 2*j**4 - j**4).\nAnswer: -270*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*((a\/((a*a\/a**(1\/4))\/a*a*a))\/a)\/a)*a**(1\/23))\/(a**(5\/3)\/(a\/(a\/((a**21*a*a)\/a))*a)) assuming a is positive.\nAnswer: a**(6935\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6269389.\nAnswer: 7, 895627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 = -6*m + l, -2*l - 397 + 423 = -m for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -6, -8, -10, -12, -14?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 13123\/24 and 548 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -14*j**2 + j. Suppose 34*x = 3*x - 8 + 39. Give y(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, g: 2, w: 3, z: 2, m: 1, o: 2}. What is prob of sequence ag?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuouuuuuo. What is prob of picking 2 u?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.124 + -77.424. Let o = k - -73. Let u = o - -4.4. Which is the closest to -0.1? (a) 2 (b) -19 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 8*f**2 + f + 9. Determine w(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -z + 50080 + 631, 0 = 4*z + 4*r - 202832. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-6*3*(-12)\/(-378).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -143874 - -143874. Let z(c) be the third derivative of c**6\/120 - c**5\/60 - c**4\/24 + 11*c**3\/6 + c**2. What is z(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.78433681 to the nearest integer.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19, 37, 69, 115, 175, 249, 337?\n\"Answer: 7*f**2 - 3*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.12, -5, -0.94?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -15. Let c = y + -5. Suppose -2*g + 4 = -b, 0*b + 17 = 5*g + b. Solve v - c = -g*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 195 = 5*v, 3*v = w - 3*w - 110. Let s = 94 + v. Suppose 3*r + s = 6*r. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -53. What is the third derivative of -6*r**2 - 16*r**6 + 20*r**5 + 9*r**2 - w*r**5 wrt r?\nAnswer: -1920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4) + (-2 - (9 - 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1514600 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -4*t - 12, -t - 3*d = 1 + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -13. Let g = u + 10. Suppose -z + 33 = 3*w - 21, -4*w + 4 = g. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 12 = 4*t, 4*t + 6*b - 2*b + 8 = 0. Let o be (16 + -17)*(t + 0 + -1). Let y(c) = 5*c - 1 + c - 5*c. Let w(v) = 3. What is o*w(s) - 3*y(s)?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 7*f**2 - 8*f + 8. Let g(p) = -p**3 + 21*p**2 - 19*p - 28. Let r be ((-5)\/((-225)\/(-54)))\/(3\/(-50)). Let q be g(r). Give u(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3008744 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210233312 - 41?\nAnswer: 210233221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 344*q - 668 = 0, -5*v + 7931 = -3*q + 7945 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -920.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3)*m\/m**(3\/7))\/(m**(-1))**(-33) assuming m is positive.\nAnswer: m**(-674\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14*0.2\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 12, -2*n - n = -5*x - 2552. Suppose -n = -5*h + 511. Suppose u - 73 = 3*f - 0*f, 5*f = 4*u - h. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**5\/5 + o**4\/2 + 8*o**3\/3 + 3. Factor y(s).\nAnswer: -s**2*(s - 4)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38627213 divided by 3.\nAnswer: -38627213\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(1620)\/sqrt(5)) + -5)**2 - (((sqrt(420) - sqrt(420)*2)\/sqrt(12))\/sqrt(7) + 4).\nAnswer: -2*sqrt(5)\/3 + 761\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 + 83. Suppose z = -c + 11. Solve j + 2*u = 3*u + c, 6 = 3*j - u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.469975 * -0.5.\nAnswer: 0.2349875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4046, 3189, 2322, 1445, 558, -339?\nAnswer: -1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/32*4 - (-30)\/(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 + 12?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - d + d)*(-15 - 2 - 5)*(99 + 63 - 32)*(1 - 2 + 0).\nAnswer: -2860*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -577*u**3 - 21*u**2 - 44*u - 6. Is 45 a factor of m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0.05, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272822184.\nAnswer: 2, 3, 3789197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*z + 2)*(-4 + 4 - 4*z**2) + (0*z + 0*z - z**3)*(-5 + 5 + 4).\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -155.92*24118\nAnswer: -3760478.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5300.82 and -627012.1?\nAnswer: 632312.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250 and 300.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 175 + -160. Suppose x*l + 118 = 298. Calculate the remainder when 116 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 53*o - 106*o)*(-o**4 - 2*o**4 - 3 + o**4).\nAnswer: 312*o**5 + 468*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/16 - 154*5\/240. Let l = -41\/15 - t. Sort l, 1\/2, 0.4 in descending order.\nAnswer: l, 1\/2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1530\/(-18))\/(-17) - 2*-3 - -10?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f + 6*f**3 + 288*f**2 - 288*f**2 to d + x*f + z*f**3 + j*f**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -172*l**4 + 2*l**2 + 77*l?\nAnswer: -4128*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 93, 376, 755, 1230?\n\"Answer: 48*p**2 + 139*p - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 977036 less than 56?\nAnswer: -976980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 49 + 2177 = 0. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1854 + 11059\/6. Let f = -20\/49 - 3471\/980. What is the common denominator of f and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3\/15 - 31522*s**2\/15 + 10508*s\/5 = 0. What is s?\nAnswer: -15762, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3743.931 nanograms?\nAnswer: 3.743931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26550 is divided by 13217.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, g: 1, a: 4, w: 1, y: 1}. What is prob of sequence aya?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*b**2 - 112*b**2 + 107*b**2 + 90*b**2.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3747 + 3756. Sort -1\/5, -35\/2, c.\nAnswer: -35\/2, -1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-2)\/(-90))\/(((-4143)\/(-5524))\/(9\/(-40)))?\nAnswer: -1\/150","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -81545689.\nAnswer: -81545685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 7685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*l + 12*l - 5 + 3)*(1543*l**2 - 1543*l**2 + 170*l**3) as z*l**3 + w + g*l**2 + d*l**4 + s*l and give d.\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 753 + 214. Suppose c - 3619 = -6*n. What are the prime factors of n?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 14*b - 33. Let x be h(-6). Suppose 21*a - 486 = x*a. Suppose -4*m = -159 - a. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 114 - 24 = 0. Suppose 4*g + 58 = 6*g. Let x = m + g. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.202 + -0.002. Let w = -74\/469 + 1\/67. Which is the nearest to 0? (a) w (b) r (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 100\/45 + 4\/(-18). Suppose 677*y - 4365 - 741 - 310 = 0. Solve v + y = p, -z*p - 3*v + 1 = -2*v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (3 - -8)) + -13 - (2 + 24)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -23. Solve p = 2*i + 1 + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-4))\/((-1)\/(-2)). Let f = -1.2 - -5.6. Let j = 0.4 - f. Which is the third smallest value? (a) o (b) j (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 0 - 13*k**2 - 15 - 164*k**2 + k**3.\nAnswer: k**3 - 177*k**2 - k - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 54305?\nAnswer: -54310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/3 in 0.09, -3, -3.8, -2, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1093422426 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/10 - 391\/(-85). Solve -i*o + 45 = 4*a, o - 2*a + 0*a + 5 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.02 (b) 0.8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 63432? (a) 1\/7 (b) 1558 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**6\/24 - z**5\/10 + z**3 - 2*z**2 + 3. Let h(f) = 11*f**3 - 13*f**2 + 13. Give -13*d(x) + 6*h(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 less than -448?\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*t + 4 = -2*v, -2*v = 5*t - 31. Differentiate -v*z + 7*z - 4 - 3 + 3 wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100010020110 (base 3) to base 9\nAnswer: -303213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -558.6 - 44254?\nAnswer: -44812.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 88.835685 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqununnuqnunu. Give prob of picking 1 q and 1 u.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1906637*x - 140409 wrt x?\nAnswer: 1906637","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2 + 1\/2. Let j be (0 - 2) + 2 + v. Suppose 2*m + j*b - 5*b - 29 = 0, -m + 15 = -2*b. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.5, 0.3, -8\/7443, 3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7313.49 millilitres?\nAnswer: 7.31349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -238 + 417. Let k = -242.5 + o. What is k rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 23*u**2 - 28*u + 50. Let b be g(-24). Suppose -b*y + 147*y - 47 = 0. Let v = y + -45. Solve 5*t - 4*k + 18 = -19, v*t = k - 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 40850?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -13*p**2 + 111*p - 2. What is the lowest common multiple of k(8) and 297?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 2*r + 65, p + 0*p + 33 = -5*r. Let a = 28 + p. Find h, given that -2*h**2 - 3*h**2 + 3*h**2 + a*h**2 + 9*h = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-189) - (0 - 2\/(-9)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 4*h**2 + 3*h + 4. Suppose 0 = -5*d + 4*d + 4. Let j be r(d). Let p = j - -7. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 765*n + 1172*n.\nAnswer: 1937*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3571 - 247?\nAnswer: 3322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.6387kg in tonnes?\nAnswer: 0.0296387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 59*z**2 + 1899*z + 361. Calculate j(-32).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/21*(-435)\/18270.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + -5 - (-74 + 75)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1697 = -18*t + 2479. Suppose 2*q + 470 = 4*l - 0*l, -t = q - 3*l. Is q at least -242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2\/8 - 313581*s\/4 - 1881477\/8 = 0 for s.\nAnswer: -627159, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5021 - 2172 = 212*j - 9235 for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 1 - 3 + 2*x**3)*((-3 - 2 + 4)*(-5 + 4 + 0) + 0 - 3 + 1 + (-1 - 2 + 5)*(-2 + 1 + 2) - 75 + 169 + 158).\nAnswer: 253*x**3 - 506","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + -1*(sqrt(363) + 3)*2 + -1)*-3)**2.\nAnswer: 4356*sqrt(3) + 14157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 89280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -73.62 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -649?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m - 14 = 29*m. Calculate the remainder when 51 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 + 11*q**2 + 3*q**2 + 113*q**2 - q + 5*q**2 - 34*q**2 - 31*q**2 + (-5*q**2 + 3*q**2 + 4*q**2)*(0 + 2 + 0) + q**2 - q**2 + 2*q**2 + 4 - 4 + q**2.\nAnswer: 71*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-116)\/(-10) - 693\/(-880)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7826 - 7826 + 2*j. Let y(h) = 24*h - 5. What is y(v(b))?\nAnswer: 48*b - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5091, -11109, -17127, -23145?\n\"Answer: -6018*o + 927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1286 - -464258\/361. Let b = w - -14705\/2888. Find the common denominator of 45\/14 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 277, 280, 285, 292, 301, 312, 325?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 770 = 5*f - 0*n + 2*n, -4*f + 616 = 5*n. Suppose i = -i + f. Let o = i + -50. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 2. Let q be z(-8). Is q at least 31\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 111168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 8 - 34. Let q = 6 + l. What is the tens digit of (-5)\/4*(0 + q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011121110 (base 3) to base 2.\nAnswer: 101101000000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7955422087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -91*m - 14. Let k be h(-2). Let d = 134 + k. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16029 + 0.06496.\nAnswer: 16029.06496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 - -4.1. Let g = 1462.9 - 1463.03. What is the closest to g in -0.1, -0.2, -2\/13, o?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -1012?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 less than 6.2?\nAnswer: -56.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/602)*((-5307)\/(-61))\/609.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2086614 and 22083?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*o = 0. Suppose -4*t - 12 = -o. Does 4 divide 1\/t*(-12 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59.1 - 18.1. Let g = o + -41.000000716. Round g to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 757 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40021 and 29327647?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1988\/56 - 5\/(-2). What is the closest to -2 in 0, c, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255099 is divided by 1209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 425429 or 8083173\/19?\nAnswer: 425429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-43)\/(-1) + 3 + 1. Let j = -40 + 69. Let w = f - j. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*3*-5 + -7 + 10. Suppose -3*p + 198 = -t. What are the prime factors of p?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 10*c**2. Let m(j) = 51*j. What is x(m(a))?\nAnswer: 26010*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 31742 from 522.9.\nAnswer: -31219.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 19*n + 176 = 0. Calculate the highest common factor of n and 440.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2633 - 2196. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3272 - 2693. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 7*x - 4. Let f be q(-7). Let a = -2 - f. Let g(n) = -a*n**3 - n + 3*n**3 - 1 - 4*n**2 + 2*n. Determine g(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*z + 64*z = 5*r - 7, 0 = 3*r + z - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 times -11121?\nAnswer: -567171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((273\/14)\/(-13)*3)\/(-15)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -115666707?\nAnswer: 115666714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -108*p + 1979. What is y(21)?\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -204, -271, -364, -483?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 1. Let u(r) = -16*r**2 - 13. Let q be ((-3 - -12) + -3)*1. Let i(s) = q*u(s) + 66*l(s). Differentiate i(w) wrt w.\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/10*(-48)\/(-9). Suppose -r - l = -11. Solve 5*o = r*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(-3)\/9 + 4. Let t be m\/6*(-3 - 63). What is the common denominator of 126\/t*(-5)\/15 and -77\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/5 - 111*t.\nAnswer: -3*t*(t + 185)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + i + 27. Give c(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfm when three letters picked without replacement from {f: 2, m: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 30764256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 z when four letters picked without replacement from jjttjjzjztjzzjzj?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19681 divided by 19681.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + 1 - 27\/9. Suppose -7*k + x = -5*k. Let s(n) = 6*n**2 - 3*n + 4. Let r be s(1). Solve u = k*c + 2, -c = -4*u + 2*c - r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -387*j**2. Let w(b) = 51781*b**2. What is w(f(k))?\nAnswer: 7755188589*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -5*d**3 + 20*d**2 - 20*d + 62. Factor h(c).\nAnswer: -5*(c - 2)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 7*p - 3. Suppose 6*t = 10*t + 12. Give q(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -121430557*l**2 - 13458385*l - 2.\nAnswer: -242861114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 5:23 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 96731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:27 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - 45. Sort -5, g, -6, 1 in descending order.\nAnswer: g, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -533 and 113.6.\nAnswer: -60548.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/378*35*108\/((-30)\/(-5)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 11*m**2 - 14*m + 36. Give j(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/5 - 33\/(-195). Is -1 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = 4*x. Let r = x - 1. Let q(m) = -m**3 + 4*m**2 + m. Let p be q(r). Solve 2*b + g - 3*g = p, -3*b + 6 = -g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 348 + 88. Suppose -4*v + 223 = 5*o, -4*v - 4*o + 196 = -8*o. Is v at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 84*x + 89*x - 2)*((0*x + 2*x + 0*x)*(0 + 2 - 1) - x + 2*x + 0*x + x - 3*x + 0*x - 7*x + 7*x - 8*x).\nAnswer: -35*x**2 - 35*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 46. What is the common denominator of 2 + 52\/18 + 0 and (18\/12)\/(-3) - 97\/g?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/60 - (-208)\/39)\/(6\/(-15)). Which is the nearest to -0.2? (a) -1 (b) 25 (c) 1\/11 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 989190 a multiple of 1305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 5, 4 = 2*i + g + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34269 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -288, -504, -778, -1116, -1524?\nAnswer: -2008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.45999344 + 0.46. Round n to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*s + 4489 + 9143. Put s, 3, -3 in descending order.\nAnswer: s, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -14. Let p be b\/9 + 12\/9. Suppose -2*i + 8 = 0, -q - 5 = -p*q + 2*i. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.93014 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 1636 = 3*c + c, -3*c - 1634 = -4*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.50954km to nanometers.\nAnswer: 4509540000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111010101000111100 (base 2) in base 9?\nAnswer: 1384587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/16296 and -95\/16.\nAnswer: 32592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 9:50 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61915.68 millimeters to centimeters.\nAnswer: 6191.568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r**2 + 98*r**3 - 2*r - 42*r**2 + 0*r + 30*r**2.\nAnswer: 98*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - r = -4*n - 3, -46*n = -51*n - 10*r - 9*r - 85 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, e: 3}. Give prob of sequence eeg.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (306\/2295)\/(1\/(-5))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1340737 (base 8) to base 7.\nAnswer: 3131014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1732689 to the nearest integer?\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 1. Let z(j) = -j**2 - 7*j. Let l(v) = 5*k(v) - z(v). Let x be l(-12). Suppose 47 = -2*i + 5*s + 315, i + x*s - 104 = 0. Is 18 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (691*p**4 + 62*p**4 - 134*p**4)*(p + 0*p + 1 - 2 + (-1 - 3 + 5)*(-p + p + 2*p)).\nAnswer: 1857*p**5 - 619*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 141.\nAnswer: 17\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x + 1. Let o(h) be the third derivative of -h**5\/60 + h**4\/24 + h**3\/6 - 698*h**2 - 2. Calculate 2*o(m) - q(m).\nAnswer: -2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4354 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8144?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 123849*z**2 - 123851*z + 2 = 0.\nAnswer: 2\/123849, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10886 is divided by 642?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-2))\/(66\/(-24) - -2). Let m be ((-3)\/(h - 4))\/((-1)\/(-6)). Let f be (-6)\/(-8) - 9*m\/(-12). Calculate the highest common factor of f and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + c + 3. Let r = 2 + -5. Let m = r - -14. Let l(x) be the second derivative of -x**5\/4 + x**3 + 8*x**2 - x. What is m*g(j) - 2*l(j)?\nAnswer: -j**3 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 14. Let l(m) = m**3 + 5*m**2 - 8*m + 2. Is l(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 10*g - 3487 = -3567 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/453 and 27\/86.\nAnswer: 38958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432263024 is divided by 67?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*r = 433, -2*o + 6*o + 3*r = 582. Let s be -3*(-1 + o\/153). Let n = -11\/51 - s. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1140 + 138182542.\nAnswer: 138181402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 14. Suppose -v = c*g - 27, 5*g - 7 - 8 = 5*v. Does 22 divide (66\/g)\/((-5)\/(-25))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 646538154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59448*i - 2*i**2 - 59448*i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -27689 smaller than -27701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 613, 1216, 1819, 2422, 3025?\n\"Answer: 603*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5987, -11853, -17601, -23231?\n\"Answer: 59*q**2 - 6043*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2. Let s(v) = 3*v**2 + 3*v. Let u(f) = f**2 + f. Let h(x) = -3*s(x) + 5*u(x). What is p(h(b))?\nAnswer: 32*b**4 + 64*b**3 + 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.434994 centuries?\nAnswer: 643.4994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4905114.\nAnswer: 2, 3, 817519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.791 minutes to nanoseconds.\nAnswer: 1547460000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (429*w - 318*w + 812*w)*(-1 + 0 + 3)*(-w + 0*w + 2*w).\nAnswer: 1846*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 4*l**2 + 5*l. Let b be t(-4). Let v(z) = -2*z + 2. Let q be v(3). Is ((-35)\/q)\/((-5)\/b) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192999559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - -305. Find the third derivative of 332 - 12*s**2 - l + 6*s**3 wrt s.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -257e (base 16) in base 10?\nAnswer: -9598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.08402524 rounded to two dps?\nAnswer: -29.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 6*d + 4. Let s be (4 - (2 + 5))\/(-1). Let m be o(s). Solve t - 5*f = -m, -2*t - 3*f + 1 = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 = -6*x. Suppose -4 - 3 = -3*k + x*r, -4*k - 8 = -r. Let s be 0*k\/(-6)*1. Solve s*l - 30 = -4*p - 5*l, -3*p + 4*l = -7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**2 - 12*p - 37. Let j be k(-5). What is the tens digit of (-2)\/(-8) + (-28535)\/j + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.275 - 0.135. Let d = c + 0.21. Let p = -6 - -5. What is the closest to d in -0.5, 7, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12179669 and 664.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 + -1.4. Which is the closest to -0.1? (a) l (b) 3\/5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**4 + 15*l**4 + 5*l**2 + 25*l**4 + 6*l - 60*l**4 + l**3 + 16*l**4 as c*l**2 + u*l**3 + s + w*l**4 + v*l and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6792449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10525 + 15290. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + g. Let z(a) = 3*a**2 + 11*a - 17. Let c(m) = -2*i(m) - z(m). Let d be c(-14). Suppose u = n, -n + 5*u = d*u. Solve 0*t + 4*t - 20 = n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104350055 and 63850?\nAnswer: 1043500550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**4 + 148*l**3\/7 - 152*l**2\/7 + 32*l\/7 = 0. What is l?\nAnswer: 0, 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-80)\/14*28\/(-8). Let s(d) = d**3 + d**2 - 2*d. Let b be (15\/10)\/((-6)\/(-8)). Let o be s(b). Solve r = -3*f + o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1369 and 2963?\nAnswer: 4056347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 28*r**2 + 392*r + 5488.\nAnswer: -2*(r - 14)*(r + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -5*n**2 - 59690*n - 178144805 = 0.\nAnswer: -5969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/36 + (1 - 3737\/(-9))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -1\/95 (c) 2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.773 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*(h\/((h\/h**(2\/3))\/h)*h*h)\/h*h))\/h*h)\/h*h\/(h*((h\/h**(-1))\/h)\/h))\/((h\/((h*h**(-1\/5))\/h))\/(h**(-5)\/h)) assuming h is positive.\nAnswer: h**(-178\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 684*y - 66548. What is r(96)?\nAnswer: -884","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 80662 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -177 - -42. Let f = m - -188. Calculate the remainder when f is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvggvvvvvvgvmgm. What is prob of sequence mmgg?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**3 - 7 - 7 + 263*a**2 - 270*a**2 + 3*a**3. Let o be (-140)\/30*3\/2. What is i(o)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -9*q**3 - q - 1. Let z be j(-1). Suppose r - 4 = -z. Are -5 and r non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -102 + -2025?\nAnswer: -2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 7:46 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 134*t**2*x**2 - 13*t**2*x - 355*t**2 + 2*t*x**2 + 446074*t*x - 2*x**2 + 5 wrt t.\nAnswer: 268*x**2 - 26*x - 710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*p = -10*p + 3120 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 + 202 = -4*t + 3*a, 2*t + 5*a = -107. Let s = t - -30. Let k = s + 27. Calculate the highest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.03781097866 rounded to 5 decimal places?\nAnswer: 0.03781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3447.5782 rounded to 0 decimal places?\nAnswer: 3448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(108))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*u - 9144, 0 = -2*u - 2*y - 84 + 3744. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(2\/61)*(a*a**(2\/5))**(-3\/5)*((a**0)**(-9\/7))**40 assuming a is positive.\nAnswer: a**(-1331\/1525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 300 + -177. What is j rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3\/11, -477570 in descending order.\nAnswer: -0.2, -3\/11, -477570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53106*z**3 + 51547*z?\nAnswer: -318636*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 3d9?\nAnswer: 3d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -4)*(0 - 1). Let v = -53\/7 - -8. Which is greater: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*q - 12 = 0, 3*q = -k + 5 + 5. Is (1 + (-2)\/k)*166 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2 - 16*b + 2. Let j be f(5). Let t(u) = -7*u - 14. Let i be t(j). Suppose i*r = -7*r + 14. Is 2\/271 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011010011110 - 10?\nAnswer: 101011010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 - 3*g. Let p be z(-3). Let a(i) = -3*i**3 - 18*i**2 + 2*i - 39. Let q be a(-6). Let j = q + p. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + h + 7 = -19, -34 = -5*k + 4*h. Let g = k - 5. Let m(u) = -2*u**2 + g*u**2 - 1 + 1. Let r(b) = -2*b. Calculate m(r(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 625*u**2 + 0 + 39*u**2 + u + 1 - 2*u. Let v be b(-1). Is (-2)\/(-5) + v\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 0*v + 0*v)*((0 + 3 - 1)*(v - 14*v + 4*v) - 5*v - 1 + 1 - v + 2 - 1 + 1)*(-2 - 2 + 3).\nAnswer: 24*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {j: 1, m: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9164740 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 500, 493, 498, 521, 568, 645, 758, 913?\n\"Answer: v**3 - 14*v + 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3, -0.2, -0.8 in increasing order.\nAnswer: -0.8, -0.2, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -103*w**2. Let d(n) be the second derivative of n**4\/12 - 4*n. Calculate y(d(i)).\nAnswer: -103*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**3 - 4*p**2 - 3*p**3 + 5*p**2 - p**4 + 2*p**4 + 2*p as q + l*p**4 + r*p**2 + s*p**3 + m*p and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 249 - 251. Let o be (-1 + 2)\/((-2)\/(-4)). Which is the nearest to l? (a) o (b) 1 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.16028*1.9.\nAnswer: 36.404532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -284*w**2 + 443*w + 773 + 2352*w + 4411 + 4*w**3 + 2101*w = 0.\nAnswer: -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r. Let j(l) = 3*l**2 + 3403. Give g(j(a)).\nAnswer: 12*a**2 + 13612","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n - 24 + 24.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 0.3, 0, -208\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 693.872116 rounded to the nearest 10?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 - (16 + 7) - (-4 + 1 + -1).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 357 = i, -5*z + 299 = -4*i - 73. What is the greatest common divisor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + -0.24. Let u = -3.6 - -0.2. Let b = 0.6 - u. What is the second biggest value in -3\/5, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/12)\/(2 - 1). Let v = 2 - 2.5. Let x = -0.2 - 4.8. Which is the biggest value? (a) h (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5403703 rounded to the nearest 1000?\nAnswer: 5404000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -25181964 divided by 2?\nAnswer: -12590982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**7\/420 + g**6\/144 + g**5\/40 - g**4\/4 - 5*g**2. Let w(t) be the second derivative of i(t). What is the tens digit of w(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27331306 or 27331311?\nAnswer: 27331311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 7*d - 15. Suppose 0 = 62*g - 60*g - 3*a - 6, -5*g + 5*a = -10. Give y(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 4*k - 14, -2*k - 6 = 22*d - 21*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10819916\/12859 + 5890\/7. Let r = -122939\/128590 - d. Let p = -23\/14 + r. Is -4 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**3 + 6*r**2 + 12*r - 8. Let j(k) = -7*k**3 + 13*k**2 + 25*k - 18. Give 4*j(i) - 9*l(i).\nAnswer: -i**3 - 2*i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/186*50\/(-25).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -144 + 214. Calculate the lowest common multiple of r and 12.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 2*g + 16, 2*g + 4 = -3*c + 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a micrometer in nanometers?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37942?\nAnswer: 2, 61, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -10. Let r be o - (3 - (11067 - 2)). Suppose r = -3*b - 468938. Round b to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1231 - -2278. Let v = o + -702. List the prime factors of v.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffpp when four letters picked without replacement from {p: 2, s: 4, f: 7}?\nAnswer: 7\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 0*j**3 - 1\/10*j**4 + 0*j**2 - 4 - j + 7\/50*j**6 - 3\/20*j**5. Let k(g) be the first derivative of q(g). Factor k(w).\nAnswer: 3*w**2*(w - 1)*(7*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17641218 is divided by 871.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/3520 and (-13 - -10 - (-626)\/256)*2\/(-44).\nAnswer: 14080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, d: 4}. What is prob of sequence ddff?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 260164 * -0.67.\nAnswer: -174309.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 9*d**2 - 12*d + 14. Let h be w(10). Let k be 4\/4*(-3)\/h. Which is the smallest value? (a) 3\/11 (b) k (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16125 or 0.129?\nAnswer: -16125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -98\/17 or -6?\nAnswer: -98\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -ab0119 - -4b?\nAnswer: -ab008a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -40. Suppose 5*c + 13 + d = 2*z, 7 = -2*c + z. Let n(s) = -2*s + 2 - 4 - 3. Give n(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2632 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 3*w - 3*w)*(-3*w + 5*w - 3*w) - 4*w**2 - w**2 + 3*w**2 + (49*w**2 + 16*w**2 - 7*w**2)*(0 + 3 - 1).\nAnswer: 116*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v = 2. Suppose -4*z + 2*s + 34 = 0, -2*s - 9 - 1 = 0. What is the highest common factor of v and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.49603*-0.3\nAnswer: -4.048809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 4:26 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623839?\nAnswer: 623839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - l**3 + 0*l**3)*((0 + 4 - 3)*(3*l - l - 3*l) + 6*l - 4*l - 4*l)*(-1 - 2 + 2).\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttjjttehlhhtetjo. Give prob of picking 1 h and 1 o.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1041700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 6. Let b be j(3). Let a(k) = -2 + 218*k - 58*k - k**2 - 1 - 60*k - 58*k - 47*k. What is a(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 40, 2, 0.3 in increasing order.\nAnswer: 0.3, 2, 6, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36687 is divided by 16662.\nAnswer: 3363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112235 (base 7) to base 10.\nAnswer: -20018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -8774*c + 8778*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 11:01 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -105\/4 and -25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77338?\nAnswer: 2, 38669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 477279184 to the power of 1\/2, to the nearest integer?\nAnswer: 21847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 254251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - m**3 + 4*m**3 - 69*m + 36*m + 32*m + m**2 as d*m**2 + g*m + b*m**3 + i and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269788?\nAnswer: 2, 67447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23574, -47145, -70716?\nAnswer: -94287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21391613*u - 6*u**2 - 21391613*u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 24*k = -3*n - 22*k + 21, 4*k + 54 = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 c when four letters picked without replacement from ccccqcq.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1363629144.\nAnswer: 2, 3, 56817881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, -21, -154, -413, -840, -1477, -2366?\nAnswer: -3549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641704?\nAnswer: 2, 7, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 5*w**2 + 3*w - 8. Let i be y(-6). Let j be (-666)\/(-15) - 4\/i. Suppose -l = -5*l + j. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1096 * -43915.\nAnswer: 48130840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 12 + 8 = 0. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 1\/2, -6231 in decreasing order.\nAnswer: 1\/2, -0.07, -6231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.901 - 270.2.\nAnswer: -271.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 + 2*j**2 - 7 - 3*j**3 - 4*j + 5 + 7*j + j**3 to the form a*j**3 + g*j + h + z*j**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -377972, -1511894, -3401762, -6047576?\nAnswer: -9449336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5918, 5853, 5734, 5555, 5310?\n\"Answer: -h**3 - 21*h**2 + 5*h + 5935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.145.\nAnswer: 0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69.7 - -131.4. Let z = 62 - l. Which is the nearest to 0? (a) -4 (b) z (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*u = -10, 2*d - u + 0*u = 15. Suppose -2*w = -d*w - 54. Let p = 23 + w. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-2)\/((3 - -1)*(-294)\/(-441))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 5*r - 5, 3*h + 12 = -4*r + 35 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 607, 838, 1239, 1816, 2575?\nAnswer: 3522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -255 + 311 + (1 - 32)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**5\/30 - 5*v**4\/4 - 29*v**3\/6 - v**2. What is the remainder when k(17) is divided by ((-42)\/(-5))\/(4\/10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -355*d + 539 + 92 + 366*d + 694*d wrt d?\nAnswer: 705","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 3*f - 5*f - 12 = 0, 2*q + 7*f - 3 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 1.19.\nAnswer: -11.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -448?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 16 - 10*a**2 - 9*a**2 - a**3 - 27*a - 10 - 40. Does 8 divide b(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)*(x\/(x\/(x*x**6))*x*x)\/x*(x**(-2\/9))**(1\/6))**(-5\/2) assuming x is positive.\nAnswer: x**(-805\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43354670?\nAnswer: 2, 5, 4335467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 2*r + 5. Suppose 6*a = 11*a + 10. Let b be j(a). Find the third derivative of -5*n**2 + 2*n**2 - 3*n**2 - n**2 + 7*n**b wrt n.\nAnswer: 420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j + 3*d - 3, -4*j - d = -17. What is the units digit of 12\/((9\/2)\/j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 6*d - 37. Determine s(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 8:25 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*h, 4*u = -2*h + 3*h. Solve 5*d + 20 = -h*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.03, -0.4, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1080464 and 2600?\nAnswer: 351150800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 72 + 312 = 0. What is the third derivative of 3*s**3 - 3912*s**2 + 3911*s**2 - s**3 - 12*s + j*s**4 wrt s?\nAnswer: 720*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 967739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + sqrt(136)\/(sqrt(88)\/(sqrt(176) + sqrt(11))) - (3*(sqrt(153)*3 + sqrt(153)))\/(sqrt(9) - sqrt(1296)*-1))**2.\nAnswer: 636*sqrt(17)\/13 + 53837\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/6 in -0.1, -2\/5, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 127.824021 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 9438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*d + 3*j, 6*d = 4*d + 5*j + 8. Is (1\/d)\/(5 - 150459\/30092) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 14202110213?\nAnswer: 14202110224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18699733.\nAnswer: 13, 61, 23581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5683673 a multiple of 2051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 73768, -9, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 589723330?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2173912 = -726088. Round z to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-9))\/((-6)\/180). Let y(d) = d**2 + 7*d - 33. Calculate y(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 11*x**2 - 25*x + 8. Let d be p(-8). Suppose -4*o = -2*o + 8, -5*v - o + d = 0. Sort 5, v, -1.\nAnswer: -1, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 690 and 48530?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*r**3 - 1178*r**2 wrt r.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 786680 greater than 786677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107208187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**3\/3 + 7*m**2\/2 + 4*m - 1. What is the remainder when 15 is divided by w(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/3, 0.9 in increasing order.\nAnswer: 1\/3, 0.9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5 + 110*z**4 - 2072*z**3 - 4478*z**2 - 2295*z = 0. What is z?\nAnswer: -1, 0, 27, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -12*d + 3*v - 170, 5*d + v = 878. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 5:37 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -8*a - i, -3*a + 222 = 2*i + 221 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-10)\/(h\/(h**(2\/37)*h)))\/(h*h*h**(-1\/6)*h)**(2\/37) assuming h is positive.\nAnswer: h**(-1121\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43360, -5, 5, 8 in descending order.\nAnswer: 8, 5, -5, -43360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, k: 2}. Give prob of picking 2 k and 1 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1*(j\/j**(-1\/10))\/j)\/((j**(-3)*j*j*j*j)\/j**(-4)) assuming j is positive.\nAnswer: j**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41117*o + 41099*o + 432 = 0 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34082 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 qqqxqxxxqxxqxqqqxxq. Give prob of sequence qxqq.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from jjwzwxwjwxzt.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/5 or 772135\/4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150180.\nAnswer: 2, 3, 5, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s + 3. Let p(f) = f**2 + 8*f + 10. Let d be p(-7). Suppose 4*i = -4*o, -i - 3*i - 4 = 2*o. Suppose -d = -l - a, -l + 4*a - o = -0*l. Give t(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 8*j - 18. Calculate u(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -2*k**5\/15 + 23*k**4\/9 + 394*k**3\/27 + 224*k**2\/9 + 152*k\/9 + 1846. Solve p(c) = 0.\nAnswer: -2, -1, -2\/3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 11*l - 14*l. Suppose l*t = -1880 + 8824. What are the prime factors of t?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c3 + -18?\nAnswer: 2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 250754214*w - 23476106?\nAnswer: 250754214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 2124.2 and -3324371462.\nAnswer: -3324369337.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, k: 1, m: 5, p: 1}. Give prob of picking 2 m.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28047*q**3 - 6*q**2 - 42*q - 3.\nAnswer: -168282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 9:00 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -678 divided by 6.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 11 + 13 + (18 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y - 5. Let a(w) = -34*w - 550. Let x be a(-16). Let g(o) = -5*o - 6. Calculate x*g(n) + 7*c(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j - 26. Let d be t(-8). Let n = 3 - -5. Suppose -n*z + 108 = -d*z. What is the remainder when z is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 - 4)*(5*y**3 - 3*y**3 - y**3).\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 23*k - 539. What is v(16)?\nAnswer: -651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 9:57 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65609052*q*u - 55*q + 4*u + 41102 with respect to u.\nAnswer: 65609052*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/5 (b) -5 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 451\/364 + 1\/91. Suppose -o*s**3 + 3*s**2 - 9\/4*s + 1\/2 = 0. Calculate s.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14\/253 - -9572\/759. Find the common denominator of (-338)\/36 + (-7)\/9 + 1 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1314254 (base 6) to base 7\nAnswer: 420433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i**2 - 5*i. Let k(r) = 3*r**2 + 2*r. Let j(p) = 5*k(p) + 2*z(p). Let h(a) = -42*a. Calculate j(h(y)).\nAnswer: -5292*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (-1)\/(-2)*2. Let x(z) be the second derivative of z**4\/12 + 7*z**3\/6 + z**2\/2 - 22*z. Give x(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 1)*(-1 - 4 + 3) + 1 + 0 + 1)*((0 - a + 0)*(2 - 2 + 1) + 0*a + 0*a - 2*a - a - a + 4*a - 3*a + 5*a + 6*a)*(4 - 5 + 2).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 687830 and 7724860?\nAnswer: 100423180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d. Let s(h) = -h - 5*h + 5*h - h. What is s(a(k))?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1053)*6 + -2*(sqrt(1053) - (sqrt(1053) - -2*sqrt(1053))))**2.\nAnswer: 206388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 292 - 299. Let x be 1\/o - (-231)\/588. Let r = 6 - 8. Which is the closest to x? (a) -4 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2548881 and 49\/76086?\nAnswer: 5097762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 91012159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*k = -35*k - 375 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 141 or -59.73?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express v + 0*v - 4*v + 107861369*v**3 - 107860359*v**3 + 2 in the form u*v + q*v**3 + m + l*v**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-14))\/(6\/8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 2. Let b(m) be the first derivative of m**3\/3 - m - 2. Let k(r) = -2*b(r) - y(r). Let p(g) = 4*g + 5*g + 12*g - g. Determine p(k(a)).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-72)\/20 + 2\/(-5). Let k(j) = -j - 1. Let f(u) = -3*u - 5. Determine d*k(x) + f(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 38*u**3 + 2*u**2 - 1. Calculate c(1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3937939 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/9 - (-13)\/(-18). Let n(u) = -4*u - 62. Let q be n(-16). What is the closest to 1 in r, q, -3\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 40 = -3*v, -2*f - 4*v + 56 = -2*v. Suppose 2*p - 6 = 10. Calculate the remainder when f is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -38, -63, -90, -119, -150?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 156*a. Let x(i) = 10*i**2 - 780*i. Determine 16*l(b) + 3*x(b).\nAnswer: -2*b**2 + 156*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -778, -871, -968, -1069, -1174?\n\"Answer: -2*m**2 - 87*m - 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 9*b**2 - 11*b + 10. Let j be q(10). Suppose 91*c - 98*c + 1512 = j. Calculate the highest common divisor of c and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2287656 - -4?\nAnswer: -2287652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 + -67. Let c = 7.5 - f. Is 0 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93204 and 46602.\nAnswer: 93204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2911 + 4324. List the prime factors of z\/(-6)*70\/(-21).\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33b3 - 8603?\nAnswer: -b9b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.08 + -0.32. Let b = -2.5 - y. Suppose 3 - 1 = 2*f. What is the closest to f in -2, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 - -18652.63?\nAnswer: 18851.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 155 - 152. What is the nearest to -1 in p, -3\/4, 0.2, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1763959 or -1764082?\nAnswer: -1763959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m = -60. Suppose -4*n = -4*a - m, 0 - 5 = -2*n + a. Let h(y) = -2*y**n + 2*y**2 - 4*y**2. Let c(l) = 2*l**2. Determine c(h(p)).\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/20*(-1648)\/(-16686).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14050 and 130576?\nAnswer: 917296400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4 = s, -3*h - 23 = -4*s - 7. Suppose 0*n + 3*n + 108 = h. Let p be 35\/4 + (-9)\/n. Calculate the greatest common factor of p and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 417 - 414. Suppose 0 = 4*u + v*p - 72, -5*p + 26 = -3*u + 80. Solve -3*y + y - 3*f = -16, -u = -5*y - 2*f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 125, 64, 3?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*z + 518 = -187 - 261 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36734.359 - -36734.4. Let y = -0.7 - 4.3. Which is the second biggest value? (a) 2\/11 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523*a + 2822 = -6592 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45 + -2545?\nAnswer: -2500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2949 and 2386?\nAnswer: 7036314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -13322 (base 4) to base 10\nAnswer: -506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64953.\nAnswer: 3, 7, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z - z + 8*z - 12*z**4 wrt z.\nAnswer: -144*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28679066 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 8:53 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 7, c: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -10*p**2 - 2*p - 9. Let s(q) = -2*q**2 - 6*q - 6. Let i be s(-1). Let c(l) = -l**2 - 1. What is i*r(u) + 18*c(u)?\nAnswer: 2*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -88030 or -17341796\/197?\nAnswer: -17341796\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - s - 2*s)*(-2*s**3 - s**3 + 4*s**3) - 2*s**4 - s**4 + 4*s**4 - 5*s**4 + 3*s**4 + 6*s**4.\nAnswer: 7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 - 2070\/(-50). Suppose 0 = -2*v + 2, 3*v = u - 0*u - h. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 94 = a - 313, 2*s - 215 = -5*a. What is the greatest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*r + 4*z - 22, 0 = 4*r - 3*z + 11. What is the nearest to 1\/3 in 2\/5, r, -0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvjjjjvvjjv. Give prob of picking 1 j and 3 v.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/9 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 11 = 3*n - 5, -3*n - 46 = -s. Let h(c) = 2*c + s + 7 - 10. What is the remainder when h(18) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -65088*d**2. Let y(p) = -7*p**2. What is z(y(g))?\nAnswer: -3189312*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*p - 33. Calculate the greatest common divisor of p and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 219 - 102. Let j = 116 - i. What is the nearest to j in -4, 13\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -143*((-21)\/(-9) + -2)*-3.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248 and 2280.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 568239.4 centuries?\nAnswer: 5682394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 28 - 4790. Suppose -3*j + h = 4*a, 0 = -3*j - j - 12. Let s = -90 + a. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r + 5. Give o(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2021.8 - 2856574201.\nAnswer: -2856572179.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 127 and 65024.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*v - 24, 2*y + 0*y + 5*v - 39 = 0. Let h = -45 - y. Let l = -28 - h. What are the prime factors of l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 + 4*y**4 - 4*y**4)*(2 + y - 9 + 1).\nAnswer: -y**5 + 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -356*a + 30. What is the units digit of t(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11 and -7553.533949?\nAnswer: 7542.533949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 6:00 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -41. Suppose -z*h = -3*g + 4*g - 17, 9 = -3*g. Solve w - h = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-3 + (-65)\/(-20))) + -4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -37*h**2 - 680*h + 1378. Determine i(2).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7289 and 1.64.\nAnswer: 11953.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042507 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 142 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 d when four letters picked without replacement from {t: 5, d: 1, b: 5, o: 1}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1220, 2239, 3258, 4277, 5296?\n\"Answer: 1019*h + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2265588271 is divided by 1633?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/8)\/r**(1\/7)*(r\/(r*r*r**(-9)))\/(r*r\/((r*r**(-3\/8)*r*r)\/r)) assuming r is positive.\nAnswer: r**(199\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(252))**2 + (sqrt(63)\/(sqrt(9)*2))**2.\nAnswer: -12*sqrt(7) + 1019\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16054512 divided by 6932.\nAnswer: -2316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7164053188 to the nearest integer?\nAnswer: 1928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 126 - 124. What is the second biggest value in -4\/3, x, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**3 - 652*z**2 + 17*z + 2777. Let u(l) = -2*l**3 + 649*l**2 - 14*l - 2772. Let q(m) = 5*t(m) + 6*u(m). What is the first derivative of q(j) wrt j?\nAnswer: 9*j**2 + 1268*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 738496995 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57004?\nAnswer: 2, 14251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l + 3873*l**3 - 1913*l**3 - 7*l**2 + 10*l - 1850*l**3.\nAnswer: 110*l**3 - 7*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -161 * 417.\nAnswer: -67137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, -7, 4 in decreasing order.\nAnswer: 8, 4, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -9*i**2 + 3*i - 4*i**3 - 13*i - 9*i**3 + 12*i**3 - 12. Suppose 0 = 4*w + n + 30, 14*w - 12*w + n + 14 = 0. Calculate a(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(6\/(-4948)) - (-2142)\/(-357)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/2 - 5\/(-10). Let q be (h + 3\/15)*-10. Calculate the highest common divisor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1167 - 22167\/19. What is the closest to 2 in 2, v, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/(-70)*(12 + -72). Suppose -c + 135 = 2*s - 0*c, 3*s - 3*c - 207 = 0. Let p = s - d. Is 44 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/4*(-203)\/(-174)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15040205 (base 6) to base 15.\nAnswer: -a3952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -73*v**8\/336 - v**6\/60 + 231*v**4\/8 - 5*v**2 - 19. Find the second derivative of t(o) wrt o.\nAnswer: -1460*o**3 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -785*m + 1279*m - 63*m**2 - 251*m - 243*m.\nAnswer: -63*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23217 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**3\/2 + 35*t**2 + 1225*t\/2 = 0.\nAnswer: -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 - -1.94. Which is the biggest value? (a) r (b) 0.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -111 + 113. Suppose -2*f - k = 0, -w + 14*f = 10*f - 152. What are the prime factors of w?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 396 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 47. Let r = j - 47. Let i = 0.04 - 3.04. What is the smallest value in i, r, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470928561 to the power of 1\/2, to the nearest integer?\nAnswer: 21701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -u**3 + 90*u**2 + 381527*u + 58876779.\nAnswer: -3*u**2 + 180*u + 381527","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5477, -6794, -8995, -12086, -16073, -20962?\n\"Answer: -q**3 - 436*q**2 - 2*q - 5038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 + 0*f**2 + f**2 in the form g*f + t*f**2 + b and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 - 2. Let i(n) = -8708*n**2 - 3110. Let j(q) = -i(q) + 1555*y(q). Let z(t) = 2*t. What is z(j(h))?\nAnswer: 4976*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.8 + 21.1. Let g = o + -32. Is g >= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjkmjhkjmmkmmmkme. What is prob of picking 2 j, 1 e, and 1 k?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 570485 to the power of 1\/2, to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5 (b) -4 (c) 4 (d) -3\/7 (e) -3 (f) -9\/44\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(-1\/4)\/f))\/f**(-2))\/(f**1)**41)\/((f**(6\/11)*f*f**(-2\/5))\/(f**1)**(-31)) assuming f is positive.\nAnswer: f**(-15157\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(58 - (-55182)\/(-952))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2. Let a(h) be the third derivative of -h**5\/60 + h**4\/4 - h**3 + 4*h**2. Let v(c) = -c + 1. Let s(x) = 5*a(x) + 30*v(x). Determine p(s(b)).\nAnswer: -25*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r - 6. Calculate m(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + 0 + (5 - 0) - (7594 + -7599).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 3864440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -809574 divided by 404787\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 3*u - 4, 8*n - 5*n - 3*u + 6 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 76 - 19. Is p a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 + 15 = b. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 4*k - 89 = -431*c + 436*c, 0 = k + 4*c + 66 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -4 (c) 1\/8 (d) -756\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 10*p**2 - 29*p + 32. Let j(u) = -8*u**2 + 30*u - 31. Let f(v) = -4*j(v) - 3*m(v). Is f(17) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 9. Let z be n(2). Suppose 0 = z*s - 10*s - 13. What is the remainder when s is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 14068056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 33 = s. Let a(w) = 6*w + 0*w + 3 - s*w. Is 6 a factor of a(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000036823 to seven decimal places.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -7, -15, -27, -43?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(104) - sqrt(104)*1*-3 - sqrt(104)*1*3)\/(-5*-1*sqrt(128)) + 2)**2.\nAnswer: -1613\/100 - 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 10 and -0.035 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-1 + 0)*1. Let h = 23 + -63. Let u be 4\/(h\/(-15))*2. Solve u*l = -k*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 + 3*f**2 - 3*f**2 + (-1 + 1 - f)*(3 - 14 - 1)*(-f**3 - 2*f**3 + 6*f**3)*(f - 8*f - 11*f).\nAnswer: -646*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145 (base 7) to base 12.\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 divided by -9907?\nAnswer: -83\/9907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10830607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 52 + 13*u**2)*(-15 - 9 - 8).\nAnswer: -416*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 13*j**4\/24 - j**3\/6 - 5*j**2\/2 + 8*j. Let q(l) be the first derivative of o(l). What is the units digit of q(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**10\/75600 - l**8\/3360 + l**6\/450 - 17*l**4\/12 - 17*l. Let n(w) be the third derivative of h(w). Let n(q) = 0. What is q?\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*f + 3*r, -7 - 17 = -2*f + 2*r. Suppose -f*b - 4235 = -14*b. What is the highest common divisor of 55 and b?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.07*-0.28.\nAnswer: -0.2996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 28 = -0*j + j, 4*j + 13 = -5*n. Let l = -45 - -30. Let g = n - l. 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: Simplify -5*((sqrt(2299)*1 + 2 + (sqrt(2299) + 0 - sqrt(2299)) + 3)*-3*-2)**2*-1.\nAnswer: 19800*sqrt(19) + 418320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s - 2. Let o be 28\/(-21)*(-9)\/6. Let v be 7\/o*28\/(-49). What is z(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 30414?\nAnswer: -30421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244 = -23*c + 51 + 257 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 9 = -15. Let j be ((-3 - 1) + 3)\/1*g. Solve q - i - 3*i - 5 = 0, -5*q - j*i = 19 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v - 2. Suppose 0 = i - 4. Let c(d) be the third derivative of 1\/12*d**4 + 0 + 0*d + 1\/3*d**3 - d**2. Give i*c(l) + 3*f(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -12102 at most -12102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -816877*c**2*l*m**3 + c**2*m**4 - 68*c**2*m + 69*c*l - 6*m**2 wrt m.\nAnswer: -4901262*c**2*l + 24*c**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**3 + 9*j**2 + 30*j wrt j.\nAnswer: 18*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -28) + (31 + 409)\/(-55)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/1053312 and 107\/4213248.\nAnswer: 4213248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 40 = -4*p, 2*p + 12 = 2*q - 4. Suppose -g + 8*g = 140. What is the smallest common multiple of q and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1702 and -320.33?\nAnswer: 54.520166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2. Let q(y) = 784*y. Determine r(q(n)).\nAnswer: -614656*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*y - 25, 3*b - 2*y - 11 = 36. Let o be 0 - (b\/(-1))\/3. What is the greatest common factor of 10 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + sqrt(560) + (sqrt(560) - -1*sqrt(560)))\/(1*sqrt(500)) - ((6*(sqrt(77) + sqrt(77) + (sqrt(77) - -1*sqrt(77))))\/sqrt(11)*-1)**2*1.\nAnswer: -4032 + 13*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13542335?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 4:37 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 141*h + 1042. What is g(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/396 and -125\/13464.\nAnswer: 13464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-52)\/(-20)) + (-5685450)\/(-125) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6217501 - 2?\nAnswer: -6217503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, 17, 34, 53, 74, 97?\n\"Answer: m**2 + 12*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8532595?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22743761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.95 + -0.05. Let l = t + 10. Let j = l - 3.8. Which is smaller: -2\/5 or j?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*j + 68*j + 67*j - 207*j + 8 in the form o + z*j and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67 in -6\/11, -0.02, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 148059*z**2 - 151118.\nAnswer: 296118*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (2 - (25 - (11 + -1))) - 99?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42427.\nAnswer: 7, 11, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49138.66 meters to centimeters.\nAnswer: 4913866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -152.1?\nAnswer: -148.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 0.1743, -5?\nAnswer: 0.1743","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 4 - (9 + (2 - 2) + -10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 842 times -245518\nAnswer: -206726156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 4*q - 1520004, -2*s + q = -s - 304001. What is s rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.296 and 0.6122?\nAnswer: 1.9082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 - -83. Let n = -90 + q. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -275553\/185920 + -1\/26560. Calculate the common denominator of ((-34)\/(-11))\/(2354\/(-3531)) and w.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 92*z - 3. Let a be q(-6). Let h = a - -962. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 7\/10*p**5 + 2*p - 17\/6*p**3 + 0*p**4 + 0 + 41*p**2. Differentiate u(o) with respect to o.\nAnswer: 84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + (5 - -7) - (1 - 11)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -1)\/1 - 5. Let q = 2281.06 - 2281. Which is the second biggest value? (a) 5 (b) q (c) j (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*t**2 + 850*t - 1696*t + 847*t + 524 + 124*t**2 wrt t.\nAnswer: 290*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 1\/120*y**6 + 0*y - 1\/6*y**3 + 0*y**4 - 2\/15*y**5 + 16*y**2 + 0. What is q(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -3, -260, -5.1 in increasing order.\nAnswer: -260, -5.1, -3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 3367.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 7342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.9 or 684?\nAnswer: 684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + -3 + 2 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4202.71m to millimeters.\nAnswer: 4202710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 8615.\nAnswer: 275680","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z + 34. Let b be x(-5). Let l(v) = -2*v**3 - v**2 - v. Give l(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -19*x**3 + 1. Let l be d(-1). Suppose 0*k + k = -2*r + 6, 3*r - 4*k = l. Suppose 4*o - 132 = r*p, 0*p = -3*o - p + 91. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*c + 4 = -64*c - 4*n, -c + 4*n = -13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 466574359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23115755 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from uuxukoxxkox.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3578067 to the power of 1\/2, to the nearest integer?\nAnswer: 1892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/3 of a year in months?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26930*v**3 - 2679*v**2 + 2679*v**2.\nAnswer: -26930*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*8\/48*(-3776)\/177?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 6765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.018 at most -188995\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4)\/(t**6\/t))\/(t*(t*t\/(t**(2\/3)*t)*t)\/t*t**(4\/7)))\/(((t*t\/(t**1\/t))\/t)**(-11\/3))**(-1\/65) assuming t is positive.\nAnswer: t**(-14962\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.35 - -0.282. What is g rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29060 divided by -1.\nAnswer: 29060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x + 456987 = 89*x. What is the remainder when x is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -60, -3\/2, 52, -1\/9 in ascending order.\nAnswer: -60, -3\/2, -1\/9, 0, 6, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12*(-5)\/((-15)\/(-18)). Calculate the highest common factor of u and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -263 - -263. Solve -p + 2*p - 2 = k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9221473 and -0.009?\nAnswer: -82993.257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 167 + -7 + 3 + -11. What is the greatest common divisor of 95 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*g = 72, 0 = c - 3*c + 3*g + 126. Let m be 2*9\/117 + (-1018)\/26. Let f = m + c. Calculate the lowest common multiple of 15 and f.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 12:56 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 16*q**3 - 3*q + 1. Determine u(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/10)*k\/(k*k\/((k\/(k**(1\/9)*k))\/k)))\/((k\/k**(1\/2))\/((k**(-3\/13)\/k)\/k)) assuming k is positive.\nAnswer: k**(-2189\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {z: 2, y: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651847 is divided by 1646?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -277*q**2 + 5*q - 186*q**2 + 642*q**2 to the form c + p*q + k*q**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (89 - 91) + (-18 - (3 + -5))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.27 and -0.1.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 201 + -189. Suppose -20 = -3*u + 4*a, -3*u + 24 = -15*a + g*a. Let t(l) = -8*l - 3. Calculate the remainder when t(-12) is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r + 3. Let i = 59 - 37. Let t(g) = g**3 + 16*g**2 - 17*g - 6. Let v be t(-17). Let l(z) = 27*z + 11. Give i*d(p) + v*l(p).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 3. Suppose 3*t - 17 = -5. Suppose 2*s = 3*u - 24, u + t*s = -3*u + 52. Suppose 2*d = -4*j - j - u, 2*d + 10 = -4*j. Give m(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 198*c**2*t**2 - 3*c**2 + c*t**2 - 24*c*t + 2 wrt c?\nAnswer: 396*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 7)*(-2*z**5 - 2*z**5 + 5*z**5 + (-589*z**2 + 589*z**2 + 17*z**3)*(-z**2 - 9*z**2 + 2*z**2)).\nAnswer: -540*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71034.6 decades to months.\nAnswer: 8524152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 4*q + 24 = 0, -6*j + 708*q - 18 = 705*q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 16. Let p = 22.68 - h. Let g = p - 0.6. Round g to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 312787536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -0.57028726948?\nAnswer: 0.57028726948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000016053 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/6 + 6\/18.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.53 and 3.55.\nAnswer: -19.6315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 7*w**2 + w - 6. Suppose -3*j - 2*b + 236 = 0, 163 = 4*j - 4*b - 165. Suppose -19*p + j + 53 = 0. Give v(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*h**5 + 4*h**3 + 252*h**2 + 4*h**5 - 77*h**2 + 4*h**5 - 3*h**5 wrt h.\nAnswer: -180*h**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s - 3. Let i be a(-2). Let p = -5 - -7. Let c = i - p. Calculate the smallest common multiple of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -66*h - 3. What is the thousands digit of a(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -247 - -464. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {j: 6, t: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 10\/61 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/184677, -1, 5, -2\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1329114 and 9879.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7292 + -4190. Is 40 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide ((-12)\/(-7))\/(13\/182)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.4, 17393, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - -2 - (-20 - (-88 + -17))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -5)*(0 + -1). Let c(p) = p**3 + 4*p**2 + 3*p + 3. Let f be c(-3). Solve 7 = 2*b - f*i, 4*b - z*b + 1 = -3*i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481145 divided by -68735?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 4*g + 2. Let y be o(0). Suppose -v + y + 12 = 0. Suppose -v*c = -3*c - 132. What is the lowest common multiple of c and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 16\/12)\/((-14)\/18)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*g**2 - 13*g**3 - 30*g**2)*(3 + 2 - 7) + (g**3 - 45*g**3 - 6*g**3)*(3 - 4 + 0) to the form c*g**3 + b*g + i*g**2 + z and give c.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-77)\/21 + 4)\/((-1)\/(-18)). Suppose -42 = r*a - 60. Solve 0 = 3*t - 6, -a*n + 20 = t + 3*t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/20 and -4 + (-383)\/(-30) - 5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-892*f**2 - 871*f**2 + 1601*f**2)*(f**2 + 2*f**2 + 0*f**2) + (5*f**3 - 5*f**3 + f**3)*(f + f - f) - f**4 + 2*f - 2*f.\nAnswer: -486*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*t - 35*t + 9*t)*(0*t - 2*t + 0*t).\nAnswer: 134*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/70*(-32)\/294*(-42)\/(-12)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 11. Let f be p(-7). Let t(o) = 0 - o**3 + 2 + f*o - 5. Determine t(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4*2*sqrt(77) + sqrt(77))\/(sqrt(63)\/(sqrt(36)\/sqrt(4))) + -3)*-5.\nAnswer: -45*sqrt(11) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 113 - 41 = 0. Let o = p + 25. What is the remainder when 11 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 95760000 to the nearest one million.\nAnswer: 96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 39 = 4*t, 1 - 6 = 5*g. What is the units digit of (4\/t)\/((-10)\/(-2050))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89819579 is divided by 3657?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 155, 310, 465?\n\"Answer: 155*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.673 and 7255.\nAnswer: 4882.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 12*o - 15. Let y be x(-6). List the prime factors of (4 - 0) + -3 + y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 6842?\nAnswer: 21\/3421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3846 - 6630.8. Round n to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-28) + (-120)\/(-14). Solve 0*j + b = -3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 1:39 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 123475 and -8.247.\nAnswer: -1018298.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -1 + 25*p - 65\/12*p**4 + 35\/3*p**3 + 0*p**2. Find the second derivative of g(v) wrt v.\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + v + 9 = 0, -541*q + 5*v = -546*q - 15. Solve 4 + q = -3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + 0 + 2335*a**4 - 2337*a**4 + 3*a**2 + 1 + 10 to t*a**4 + c*a**2 + b + v*a + p*a**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/320 and -43\/1654926.\nAnswer: 264788160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 25742450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/3 + (5 - -61) + -35\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5323.317ml?\nAnswer: 5.323317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 68809*x**2 + 68496*x**2 - 4 - 133497*x**2.\nAnswer: 3808*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239 + 4*t - 3*t - 2*t + 91.\nAnswer: -t - 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 18*n**3 + n + 27 + n**4 - 2*n + 521*n**3 to i*n**4 + u*n**3 + c*n + q + v*n**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10782 from -6.\nAnswer: 10776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 9*y**2 + 9*y + 11. Let s be u(-8). Let v(q) = q + 5. Let p be v(-4). Solve -s = -w + p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/129 and 17\/18.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6230.8 + -18.781.\nAnswer: -6249.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 11:53 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t - 87 - 431 = 0. Let r be 2\/((-3)\/((-354)\/(-4))). Let v = t - r. Solve -4*n = -c - v, 3*n = 4*c - 8 + 31 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -201 + 205. Let s(x) = -9*x + 77. Let n be s(8). Solve -3*o + k*j = -7, -j - 19 = n*o - 0*j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59667 is divided by 7966?\nAnswer: 3905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.14 and 378.\nAnswer: -52.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2. Let s(p) be the second derivative of -29*p**5\/20 - 6*p**2 - 36*p. Let i(u) be the first derivative of s(u). Calculate i(m(z)).\nAnswer: -87*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 504340911 to the power of 1\/2, to the nearest integer?\nAnswer: 22458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3504 divided by -116.\nAnswer: -876\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -842116*i - 842125*i + 3*i**2 + 2526357*i - 842116*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(102) + -6*(sqrt(102)*2 + sqrt(102)))\/(sqrt(54)*2)*4*-6)**2)*2.\nAnswer: 157208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 k when three letters picked without replacement from ekgg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-61)\/(-854))\/((-3)\/(-75)) and -61\/2080.\nAnswer: 14560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34004821?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-59*t + 47*t - 79*t - 55*t)*(-20*t - 102*t - 32*t) in the form o*t + n*t**2 + a and give n.\nAnswer: 22484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279 and 651?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 799110?\nAnswer: 799110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -12545?\nAnswer: -12542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 12838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)*a*a**(1\/3)\/a)\/(a**4\/a*(a*a**(-5))\/a*a) assuming a is positive.\nAnswer: a**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -5\/2, -57?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 19*x + 20. Let a be t(14). Let b(g) = -g**2 - 4*g - 14. Let h be b(-4). List the prime factors of 297\/7 - (-7 - a\/h).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2068*k**2 - 2062*k**2 - 2062*k**2 + 6180*k**2.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -366*o - 46477. Determine c(-127).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -4 + (-53 + -13 - 15).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 - 6*g - 7. Let w(x) = x + 40. Let k be w(0). Suppose q = -4*q + k. Let c(n) = -3*n**2 - 9*n - 11. Determine q*r(j) - 5*c(j).\nAnswer: -j**2 - 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k. Let n be q(2). Let g = n - -14. Suppose v - g*v + 265 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbab when four letters picked without replacement from {b: 4, q: 1, a: 4, n: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(3\/14)\/t))\/t**(2\/51) assuming t is positive.\nAnswer: t**(1247\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5132, -5086, -4968, -4742, -4372, -3822?\nAnswer: -3056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 359362 divided by 348\nAnswer: 179681\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14616? (a) -0.3 (b) -4 (c) -3\/5 (d) -0.2 (e) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.92 + 14.1. Let m = c - 0.18. Let j = -6.9928 - m. Round j to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/(-6))\/(3\/9). Let d = 12 + a. Let h = 8 - 4. Calculate the greatest common factor of d and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**4\/12 - 2*h**3\/3 - 6*h. Let l be f(-5). Let i(w) = -w**2 - w. Let j(k) = -4*k**2 - 3*k + 1. Give l*i(t) + j(t).\nAnswer: t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 266773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2941814189 to the power of 1\/3, to the nearest integer?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1116)\/992*(-4)\/18.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/57656 and -41\/14?\nAnswer: 403592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 * -52\nAnswer: 62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(50))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78838256, 78838269, 78838282, 78838295, 78838308?\nAnswer: 78838321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 3)\/(-1) + 15. Suppose -3*q = h - 27. Suppose 8*u = q*u + 152. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-20)*26 - (-296 - -259)?\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -89623600 to the nearest 1000000.\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356 = -3*c - 89. Let z be (-1 + c\/3)\/((-114)\/(-513)). Suppose -4*d + n + 293 = 0, 5*d - z = 3*d - 3*n. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209 divided by -4701.\nAnswer: 209\/4701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83076 is divided by 4371.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3\/5 (b) 2\/7 (c) -0.1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -484, -964, -1452, -1954, -2476, -3024, -3604?\nAnswer: -4222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/((-32)\/40) + 6942 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -13\/20, 2\/9, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -50763, 1, 2 in ascending order.\nAnswer: -50763, -6, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 2*h**2 + h**2)*(-2*h + 3 - 3) - 3*h - 65*h**3 + 74*h**3 + 5*h.\nAnswer: 7*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1140211 (base 6) to base 4\nAnswer: -32210233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 11. Let f be 6\/(-8) - 10\/(-8). Put y, -5, f in increasing order.\nAnswer: -5, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 10*r + 213. Let p be c(-21). Find the third derivative of 89*l**2 - 114*l**p - l**4 + 224*l**3 - 28*l**3 wrt l.\nAnswer: -24*l + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1413 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3303311, -3303310, -3303321, -3303350, -3303403?\n\"Answer: -a**3 + 8*a - 3303318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -31 (b) 1 (c) -9\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.065621 and -0.2.\nAnswer: 0.0131242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -427.009 + 197.00748. Let k = r - -230. What is k rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 195\/(-26)*2850\/(-125). Solve 2*r + 155 = d for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1521*k = -1601*k - 419 + 99 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332992615*i**2 - 14 + 14 - 332992609*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 374959170?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -5. Suppose 4*d - 2 = b*d. What is the third derivative of -d*o**5 + 2*o**2 + o**2 - o**2 wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -f - 1760. Suppose 2*z - 330 = f. Let j = 155 - 124. Calculate the greatest common divisor of j and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -156, -345, -602, -921, -1296, -1721, -2190?\nAnswer: -2697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3\/6 - 5*a**2\/6 + 4*a\/3 + 8 = 0. What is a?\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048061 rounded to four decimal places?\nAnswer: -0.0481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -180 - 205. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 + 1389*m + 2766.\nAnswer: 3*(m + 2)*(m + 461)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -8*m + 17*i - 5, -2*i = 4*m - 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.08, 65, 1\/5, -0.1, -2\/21, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -155.84626+-85559\nAnswer: -85714.84626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116*i**3 + 212*i**2 - 2631142*i?\nAnswer: -696*i + 424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95)\/(-3135) - 96*(-10)\/990.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) + sqrt(210)\/(2*sqrt(5)))\/sqrt(6).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4479 in -2, 15, -0.5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3588?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-283)\/(-7))\/(6\/(-10)). Let o = 432\/7 + z. Let p = -1055 + 2151\/2. Calculate the common denominator of p and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**10*n**5)\/((n*n\/(n**(-2\/3)\/n))\/(n*n\/((n*n**(4\/11)\/n*n)\/n))))**45 assuming n is positive.\nAnswer: n**(6420\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43, -92, -141, -190, -239, -288?\n\"Answer: -49*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 7 = -2*y - 5, -2*d - 2*y = 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b\/(b**(-33)*b))\/b))**(-1\/5))**(-46) assuming b is positive.\nAnswer: b**(-1472\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 2*k**2 + 2*k. Let x be -3 + 5 - -3 - 0. Suppose -4*b - 2 = 3*a, -2*b + 4*a - x - 7 = 0. Calculate w(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l**2 + 10*l + 10. Let u(k) = 4*k**2 + 6*k + 6. Let j(b) = -3*i(b) + 5*u(b). Let d(f) = 776*f**2. Calculate j(d(s)).\nAnswer: -602176*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**3 + 5*u**2 - u - 4. What is a(3)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**2*r**2 - 36*j**2*r - 7484*j*r**2 - 1252*j*r + r**2 wrt r?\nAnswer: 6*j**2 - 14968*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*a = 9, -a = u + 2*a - 6. Let b be u*(-12)\/189*3. Factor 2\/7*g**4 + 0*g**2 + 4\/7*g - b*g**3 - 2\/7.\nAnswer: 2*(g - 1)**3*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.8675 and -9.281.\nAnswer: -12.1485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + -8 + 8 - (0 - -3) - 11) + 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/510 + 295\/340?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (((-64)\/22 - -2) + -3). Which is the biggest value? (a) -4 (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(32))\/(sqrt(6) + sqrt(66)\/(sqrt(33)\/sqrt(3)) + sqrt(6) - sqrt(6)).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*143969.\nAnswer: 14396.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -200575*f*q + 2258*q + 33 wrt f?\nAnswer: -200575*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 2. Let g(z) = 251*z + 12. Let h(c) = -g(c) + 6*p(c). Let u(d) = -2*d. What is u(h(o))?\nAnswer: 490*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33600 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28.4 - 30.4. What is the third biggest value in 0.03, -1\/4, w, -2\/13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 66 = 3*d - 6, -38 = -d + 4*z. Suppose -3*c = 2 - d. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 99*i - 165. Let x = 367 - 364. Let l(z) = z - 4. Let p(y) = x*u(y) - 165*l(y). Find the first derivative of p(q) wrt q.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124425380 rounded to the nearest one million?\nAnswer: -124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2446662189661 and -0.3.\nAnswer: 2446662189660.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.35 + -0.05. Let a = 94\/765 - 1\/85. What is the closest to 0 in a, -2, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, 2, 1\/8.\nAnswer: 1\/8, 0.17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.49951628 to four dps.\nAnswer: -0.4995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4805729?\nAnswer: 163, 29483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/450*(40\/6)\/2\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7603.\nAnswer: 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-10)\/(-25) + 136\/(-110). Which is the second smallest value? (a) 4 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -92.\nAnswer: 25\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 620831179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p - 11. Let i be (-42)\/(-231) + (-90)\/11. Calculate v(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s + 31*s - 19*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.12 - -0.12. Which is the nearest to d? (a) -5 (b) -1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**4 - 11179*g**3 + 2*g**2 - 2*g + 1247177 wrt g.\nAnswer: 4*g**3 - 33537*g**2 + 4*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254 - 275 = -3*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 + 11.3. Let t = 12.8 - i. What is the closest to 1 in -5\/4, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -0.18?\nAnswer: 30.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.395276 tonnes in milligrams?\nAnswer: 9395276000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (-4 - -8) - 0 - (-9 - (-40 - -39)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w\/(((w*w\/(w*w\/(w*w**(-1\/3))*w))\/w*w)\/w)*w*w)\/(w*w\/(w\/(w*w**3)*w)*w*w)*(w\/w**(-6))\/w**(-8) assuming w is positive.\nAnswer: w**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-8)*(j\/(j\/(j\/(j*j**4\/j))))\/j*j*j)\/((j**14\/j)\/((j**(2\/7)\/j)\/j)) assuming j is positive.\nAnswer: j**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137 - 14. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4850, -4812, -4760, -4706, -4662?\n\"Answer: -2*c**3 + 19*c**2 - 5*c - 4862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 119*q - 7 + 9 - 20 + 117*q + 5.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -8*s - 13. Give c(-13).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.359 + 560.641. Let k = j + -563. What is the nearest to -2 in -0.5, k, -0.02?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/(c\/(c*c*c**(5\/2))))\/((c\/(c\/(c\/(c\/(c*c**(2\/9)))*c)*c))\/c)*(c*c*c\/((c\/c**(1\/2)*c)\/c)*c)**(-30) assuming c is positive.\nAnswer: c**(-1777\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m - 7 = -18*m - k, -3*m + 5*k = -1. Calculate the greatest common factor of 454 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 2\/5, -3, 7, 4\/43?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 28520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91 - 91.4. Let y = 43.9 - 44. Let s = 13 - 12.5. What is the third biggest value in a, y, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -7.7, 2\/15 in decreasing order.\nAnswer: 2\/15, -0.5, -7.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**4\/3 - 158*n**3\/3 - 8*n + 31. Solve t(u) = 0.\nAnswer: -79, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + m + 1. Let u(w) = 3*w**2 + 4*w + 16. What is 4*l(c) - u(c)?\nAnswer: c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*q - 4 = 94*q. Let x be (-2 + q + -2)\/((-2)\/2). Suppose x*a - 4*a + 5*l + 322 = 0, -2*l + 308 = 4*a. Round a to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 40 = -0*g. Let r = 10 + g. Solve -1 = -l - 2*p + 1, 5 = 2*l + r*p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -188234.719 to the nearest ten.\nAnswer: -188230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/56 - -61\/280. Let m be -8 + 23 + -14 + -5*1. What is the nearest to 2 in m, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 8 - 2 = -2*y, 26 = -3*g + 4*y. Let x be (-1096)\/g*36\/(-24). Let a = -2199\/8 - x. Which is smaller: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06901 rounded to three dps?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 53*h**3 + 10*h**2 + 4*h - 9. Let i(q) = 158*q**3 + 29*q**2 + 11*q - 26. Let l(j) = -6*i(j) + 17*r(j). Is l(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -3*(-3)\/(-9)) + 11. Let c be -1 + 4\/j + (-39)\/(-6). Suppose -2*h + r + 150 = 0, -5*r = -c*h + 3*h + 232. What are the prime factors of h?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (3*(sqrt(88) - sqrt(88)*-2) + (sqrt(88) - (-4*-2*sqrt(88) + sqrt(88) + sqrt(88))))\/(sqrt(128)*3*-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1612, 1819, 2026, 2233, 2440?\n\"Answer: 207*j + 1405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*v - v, -5*v + 2*t = 0. Suppose v = -3*s - 5*k - 1201, -2*k = 2*s - s + 401. Round s to the nearest 10.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 498 and ((-16632)\/(-2520))\/((-2)\/(-10) - 0)?\nAnswer: 5478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16824 and 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17, 76, 163, 272, 397, 532, 671, 808?\n\"Answer: -v**3 + 20*v**2 + 6*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 119296 and -10892.\nAnswer: 108404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -4. Suppose -2*r - 2*t = 61 - 289, m*r - t - 594 = 0. Let o = r + -58. Is o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 280\/42)*24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*d + 21761, 5*d - 6*d = -3. Let z = o + 3094. List the prime factors of z\/(-10) + (-2)\/5 - 4.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -12*t + 7*t**3 - 2 - 6*t**3 + 3 + 13*t**2 - 2*t**3. Let r be v(12). Let j = -3363\/10 + 336. Is j at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -398*v**3 - 12*v - 21. Is x(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -435, -432, -429, -426, -423?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/(-1*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1314 and 22 - (((-7)\/(-14))\/(-1)*0 - -7)?\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -458, -688, -918?\nAnswer: -1148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from {l: 7, e: 3, z: 3, c: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*v - 24 = 16, -3*v = -2*n + 55. Suppose n = -0*l + 4*l. Let z be (-80)\/8*(-2)\/l. Solve -u + i + 2 = 0, 2*u - z*i = -5*i - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 4, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(200) - (sqrt(200)*2 + 5)**2 - (1*(sqrt(200) + 1*sqrt(200) - sqrt(200)) + sqrt(200))**2)*-6*-5.\nAnswer: 28500*sqrt(2) + 243750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, k: 2, d: 1, z: 1, b: 2}. Give prob of sequence ydk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93.17 - 93.47. Put -0.4, 0.3, 5, g, -248 in ascending order.\nAnswer: -248, -0.4, g, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 46816\/(-912)*(-12)\/(-14). Let h(c) = 2*c + 44. Let z(x) = 4. Suppose -9 = -2*g - 2*u + 3, 0 = -u + 2. Give g*h(m) + w*z(m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 + 26.05. Let n = 26 - v. Let a = -0.08 - 0.22. What is the second smallest value in -1, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3287796745 to the nearest integer?\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1817 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = -9*r. Suppose 0 = 2*a - 3*c + 4, -4*c + 3 + 2 = -3*a. Solve 2*g + 3 + a = r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*192\/(-52920)*(-7)\/(112\/20).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1. Let z(b) = b**3 - 3*b**2 + 3*b - 8. Let h(x) = 3*f(x) + z(x). Calculate the smallest common multiple of h(3) and 6\/(-9)*(135\/(-10))\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17527300*j**4 + 5171318*j**2 wrt j.\nAnswer: -420655200*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*15\/(-35))\/(6\/(-3))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*-1 + -2 + sqrt(5) + 0 + 4 + 2*((sqrt(405))**2 + sqrt(5)).\nAnswer: -sqrt(5) + 812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28619.99 rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 5 (c) -306\/5 (d) 6 (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**4\/12 - o. Let w(v) = 3 - v - 1 - 1. Let d(s) = -5*s + 4. Let u(n) = d(n) - 4*w(n). What is p(u(f))?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -615043232 divided by 197636\nAnswer: -3112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 - -50. Let o = -23 - w. Calculate the remainder when 1 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*t = -33, -v + 45 = 4*v - 5*t. Suppose 3*k = -3*g + 12, k - 4 = -g - k. Suppose g*y + 2 = -2. Put y, v, -7 in descending order.\nAnswer: v, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -297008607, -297008612, -297008621, -297008634, -297008651?\nAnswer: -297008672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 964637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/56166 and 17\/814.\nAnswer: 56166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448)*-3 + -3.\nAnswer: -36*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c = 2437511 + 354509. Let f be (c\/385)\/((-2)\/(-100)). What is f rounded to the nearest one hundred?\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**3\/15 - 4336*n**2\/15 = 0.\nAnswer: 0, 2168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8134, 6478, 3730, -110, -5042?\nAnswer: -11066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1184*n + 24703 - 24703 to the form a*n + d and give a.\nAnswer: 1184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -441, -5, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1539363242?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23395063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 10 = 8. Solve 0 = -4*b + o + f + 5, -2*b + 16 = -4*o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18966 and 3423581?\nAnswer: 595703094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, t: 2}. Give prob of picking 1 t and 2 g.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 386383\/45 - 24341. Let z = x - -15756. Calculate the common denominator of z and -68\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220221110 + 0?\nAnswer: 1220221110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1022 + -4110?\nAnswer: -10132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -225a19 (base 14) in base 10?\nAnswer: -1168183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 7*t**2 - 88*t**2 + 7*t**2.\nAnswer: -88*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.05 - -0.85. Which is the closest to -1? (a) -2 (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**4\/22 + 2*u**3\/3 + 276*u**2\/11 - 3679. Factor k(f).\nAnswer: -2*f*(f - 23)*(f + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4198383866.\nAnswer: 2, 229, 9166777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1454404 divided by -152\nAnswer: -363601\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -595.1 + 595. What is the fourth smallest value in v, 2, 0.03, 0.4, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12864 + -12693. Calculate the highest common factor of q and 909.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/4)*g)\/g*g)\/g)\/(g*g**(-1\/7)*g)*(g\/(((g**10*g)\/g)\/g)*g)**(-37) assuming g is positive.\nAnswer: g**(7193\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -1101?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736337 is divided by 3395?\nAnswer: 3017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -805*y + 72 = -814*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**2 - 102*t - 216 = 0. What is t?\nAnswer: -2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*(x\/(x*(x*x**(-2\/117))\/x))\/x*x))**(14\/5)*(x*x**(-2))**6 assuming x is positive.\nAnswer: x**(-5176\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -44, -84, -116, -140, -156, -164, -164?\n\"Answer: 4*h**2 - 52*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1997374664?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 7*z - 2*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 61443 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlp when three letters picked without replacement from {p: 6, x: 1, n: 5, l: 4, t: 3, v: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 28) + -17 - -28\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.02, 0.2, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1835*y**6 - 1114*y**2?\nAnswer: -220200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -z + 3*b, -4*z + 291*b - 288*b = -18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53453, 105472, 157491, 209510, 261529, 313548?\nAnswer: 365567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57027?\nAnswer: 3, 19009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 13 = 5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 37*x = -66744. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3149592, 6299023, 9448468, 12597933, 15747424, 18896947, 22046508, 25196113?\nAnswer: 28345768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1113, -1065, -999, -915, -813, -693, -555?\n\"Answer: 9*u**2 + 21*u - 1143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5386 = -13*d - 129814. Round d to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5 - 4*n - 6*n + 8 + 1 - 18. Let c(u) = -2*u**2. Give v(c(w)).\nAnswer: 20*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -2, -3.87059?\nAnswer: -3.87059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -400459654 divided by -334.\nAnswer: 1198981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*u - 5*w, -3*w + 0 + 15 = 0. Let o(k) = 17*k - 3 - 11 + 5. Let z(q) = -9*q + 5. Let p(y) = -4*o(y) - 7*z(y). What is p(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 368.8 + -368.8012047. Round s to five dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 249556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 14*q**3 + 494*q**2 - 5*q + 8. Let o(f) = -9*f**3 - 328*f**2 + 3*f - 5. What is 5*m(c) + 8*o(c)?\nAnswer: -2*c**3 - 154*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.8570883 rounded to 2 dps?\nAnswer: -8.86","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j. Let s(v) = 65 - 68*v**2 + 42*v**2 - 65. Give s(b(q)).\nAnswer: -650*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 955281 divided by 6?\nAnswer: 318427\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.27508, 0.3, -3\/7, 2\/5, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3023 * -0.3.\nAnswer: 906.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12101440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 3. Let d = -44 + 49. Let h(p) = 1. Calculate d*h(v) + j(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a factor of 80162382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -1\/2*d**2 - 6*d + 23 + 1\/3*d**3. Find l, given that r(l) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*i**2*s**2 + 64474*i**2*s + s**2 + 178453*s + 67 with respect to i.\nAnswer: -92*i*s**2 + 128948*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -2201332232233?\nAnswer: -2201332232302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oyoooyoo.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 6*j**2 + 2*j - 14. Let p be g(-6). Let v = 94 + -34. Let x = v + p. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (403*a - 538*a**2 - 2 + 406*a - 808*a)*(a - 13*a - 10*a) in the form y*a**3 + b*a + m*a**2 + r and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16849181?\nAnswer: 19, 886799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -10*p + 7. Let i = 98 + -104. Let j(n) = 3*n - 2. Let z(u) = i*f(u) - 21*j(u). Let o(k) = 21*k**2. Determine o(z(v)).\nAnswer: 189*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9\/12 - (-24)\/(-32)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/516 and -31\/1276584.\nAnswer: 1276584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1503006 + 1502931 + 5*r**2 - 4*r**2.\nAnswer: r**2 - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3870.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185, 187, 191, 197, 205, 215, 227?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5683200)\/(-3950))\/(-48) + 30.\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 4 = 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18192\/9132 + (-10)\/5. Do g and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.021.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-46)\/(-1))\/(8\/4). Let c = j + -14. Solve -5*a + 13 = -3*u, 3*a + c = 6*a - 3*u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3137 plus 5?\nAnswer: -3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 942.17ml to litres.\nAnswer: 0.94217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -57136\/2195 smaller than -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(208) - (sqrt(208) + 1*sqrt(208) - sqrt(208))) + sqrt(130)\/sqrt(160))**2.\nAnswer: -51\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 0*v + 13 + 3*v + v - 5*v. Let l be c(8). Solve l = -4*p - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 452, -0.2, 1, 2, 1\/3, 1.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Suppose 4*h - 10 - 22 = 0. What is the greatest common divisor of h and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.5 (b) -1 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 208174 take away -0.250744?\nAnswer: 208174.250744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 1, p: 1}. Give prob of sequence pk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9078893 months in centuries?\nAnswer: 0.00158990775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 2)*(-12 + 8 + 19) + (1 + 0 - 3)*(-1 + 6 + 0))*(-5*b + b - 4*b).\nAnswer: -160*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 59*q + 316. Give n(64).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, 2, -7, 7, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.1. Let v = -0.3 + 1.3. What is the closest to l in 3, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 648 + 680 = 0. Let s(a) be the first derivative of -a + 0*a**2 - 5 - 1\/2*a**b + 0*a**3. Differentiate s(h) with respect to h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -11*b + 2 - b**2 + 9\/2*b**3. Find the first derivative of n(x) wrt x.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 - 5*l - 16.\nAnswer: -(l + 4)*(l + 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhkkzkmmrmmzz. What is prob of picking 1 m, 1 r, and 1 z?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2944447 to the nearest integer?\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggi when three letters picked without replacement from ggvddqib?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*(-1*sqrt(288))**2 + 0 - (2 + (sqrt(288) + -3 - sqrt(288)) - (sqrt(288) - (sqrt(288)*4 + 4 - sqrt(288)))).\nAnswer: -291 - 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-2)\/(-6)*(-9)\/15). Which is the closest to -0.08? (a) 4 (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p*p\/(p**(-4\/15)*p*p)))*p)\/p**(7\/3))\/(p\/p**16*p*p\/p**22) assuming p is positive.\nAnswer: p**(524\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (118\/6 - -2)\/((-2)\/18). Let l = 292 + a. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-145.\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*l - 4*l + 4*v, 2*l = -2*v + 32. What is the common denominator of -35\/2 and (-130)\/(-308) - 2 - l\/70?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 27*q**2 - 55*q - 10. What is the units digit of a(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2557504111?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*q**2 - 15*q**2 + 34*q**2 in the form d*q + f + o*q**2 and give o.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -26289487.2 to the nearest one thousand.\nAnswer: -26289000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-95))\/2*-1 + (-5978)\/(-21413)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(66) + sqrt(66))*4 + 1*sqrt(66)*-3)\/(3*-1*sqrt(6) - ((sqrt(66)*-1 + sqrt(66))\/sqrt(11) + sqrt(6)))*1.\nAnswer: -9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 332*p - 2*p**3 - 656*p + 326*p + 1 to the form h + k*p**3 + z*p**2 + j*p and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iptpfnpiionfoip. Give prob of sequence fn.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 115*q - 1040. Let y be s(9). Let l(k) = -3*k**2 - 11*k - 11. Give l(y).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3987526*q - 3986789*q = 84018 for q.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -333 - 447. Suppose -234 = -2*h - w. Calculate the remainder when 110 is divided by h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2867136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 13*g**2 + 11*g**2 - 27*g**2. Let f(x) = -8*x. Give b(f(v)).\nAnswer: -192*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 6*f = 28. Suppose -f*m = -3*k - 44, 5*m - 121 = k - 37. What is the remainder when 62 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 415 (base 6) to base 4\nAnswer: 2123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 46*i - 1602. Determine t(-42).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -9*y - 2. Let a(b) = 3*b + 116. Let x be a(-38). Let o(t) = 9*t + 3. What is x*o(n) + 3*z(n)?\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 474 divide 790632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21.6 - -9.4. Which is greater: b or -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 339 and 2895141?\nAnswer: 327150933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.35 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2. Let n(m) = -13*m**2 + 437*m - 16. Let a(q) = -23*q**2 + 777*q - 28. Let x(w) = 9*a(w) - 16*n(w). Give x(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/252 and -187\/420.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10369267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1360043 (base 10) to base 5\nAnswer: 322010133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/190620 and 73\/4236?\nAnswer: 190620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((433\/(-30))\/(-1) + 63362\/(-24370)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2093*g**3 - 2348*g**3 + 2889*g**3.\nAnswer: -1552*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -9, 58, 1 in descending order.\nAnswer: 58, 1, 0, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2279 + -2257. Let p(x) = -x**3 - 20*x**2 + x + 2. Let o(w) = 5*w**3 + 79*w**2 - 5*w - 9. Let a(l) = -2*o(l) - 9*p(l). Is 5 a factor of a(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52.18 - -0.82. Let i = t - 48. Which is the third biggest value? (a) i (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 298697*g*y**5 + 2*g*y**2 - 293*g - 7*y**3 - 3581*y wrt y.\nAnswer: 17921820*g*y**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*((-15)\/(-25) + -1). Suppose 2*x - 8 = 4*d, 7*x = 10*x + j*d - 12. Suppose 2*a + 2*z = -14, -6*z = -a - 4*z + 8. Put 6, a, x in descending order.\nAnswer: 6, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 271199.9066 to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 26.92. Let w = 2.22 + -2.7. Let m = a - w. What is the second smallest value in m, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 188173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2015 or -329144?\nAnswer: -329144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -405 - -24. Let x = u - -587. What is the remainder when x is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 587685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483528624?\nAnswer: 2, 3, 127, 79319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 1133460*u + 107060964300.\nAnswer: 3*(u - 188910)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j - 8. Let o(b) = 16. Let a(y) = 3. Let c(g) = 11*a(g) - 2*o(g). Determine -8*c(l) - x(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, b: 1, x: 1, q: 1, y: 2, s: 1}. What is prob of picking 1 s and 2 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 328, 460, 556, 604, 592, 508?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.72 + 1.9. Let w = y + -0.18. What is the biggest value in -1, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 8 = n. Find z, given that 2*z**3 - 4 - 8*z**n + 3*z + 11*z - 4*z = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2181913 not equal to -2181912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 256*m - 17. Let a be u(-6). Let j = a - -147537\/95. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.471 - 0.071. Let d = q + -7.4. Let f be (-32)\/(-306) - 4\/(-90)*-5. What is the second biggest value in 1\/9, -0.5, f, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 1.3\nAnswer: -0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.61 * -40.31439\nAnswer: -24.5917779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 58417*f - 1285172. What is g(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 2*o + 3*o. Suppose -2*w = -o - 0. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**4\/2 - 129*s**3\/8 - 333*s**2\/8 - 231*s\/8 - 39\/8 = 0.\nAnswer: -1, -1\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -0.4, -104, -2\/27, -1?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 14. Give x(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1978 is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2105442 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - dcd?\nAnswer: -dd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 - 83. Let y be (12\/(-4) - -7) + -1. Let w(h) = h**3 + 10. Let k be w(0). Solve 5*g = 3*n + 8, y*g - u = -n + k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69401358 and 1014.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9831 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-15)*(-105)\/6. Suppose -x - 13 = -5*q. Suppose q*u - 1 = -3*m, -4*m + 13 + 9 = -5*u. Solve -y + 3*w = -2*y - m, 4 = 4*y - 4*w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11683 + -11674.99728. Let c = p + -8. Round c to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -201282765*z**3 - 1797*z**2 + 489*z + 2 wrt z.\nAnswer: -1207696590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 3*c + 2. What is x(4)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 3, 672, -0.2, -1\/3 in descending order.\nAnswer: 672, 3, 1, -0.2, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 2 + w**2 + 74 - w**2.\nAnswer: -2*w**2 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 - 4. Does 29 divide y(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1781\nAnswer: 3\/1781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24.9 + -0.077\nAnswer: 24.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - u + 3632 = 0, 3*j + 0*j = -3*u + 3642. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -413 and -103 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*o - 8. Let j = o + 5. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-62)\/30 - -2 - 7*(-10)\/(-210)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**5\/8 - 4*h**3 + 32. Let c(a) be the third derivative of m(a). Let q(x) = 5*x. What is q(c(v))?\nAnswer: 75*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 495, 493, 491, 489, 487?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-20))\/(-1)*-135. Let y be ((-6)\/1)\/3 + 58. Let x = y - p. Solve m + j = -x - 0, -2*j = 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from {r: 1, n: 1, k: 1, m: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**5 + 105834*x**4 + 211680*x**3.\nAnswer: -3*x**3*(x - 35280)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -104.12733632 to two dps.\nAnswer: -104.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - a**2 - 4)*(-a - 2 + 2)*(0 - 9 + 0).\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 26*h**2 - 113*h - 140.\nAnswer: -(h - 20)*(h - 7)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.229 + -0.346. Let z = h + -0.883. What is the closest to -1\/3 in 5, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -113?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20128 (base 16) to base 7\nAnswer: 1054666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 2*q**2 + 2*q + 2. Suppose -5 = -3*d + c - 2, -5*c + 7 = -4*d. List the prime factors of p(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82417, 82426, 82449, 82492, 82561, 82662, 82801, 82984?\nAnswer: 83217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/2 + 5300*n + 697450 = 0. Calculate n.\nAnswer: -130, 10730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from fsffuuloffluflsll?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2618*b**3 + 5 + 2*b**2 - 1 + 2 + 6.\nAnswer: -2618*b**3 + 2*b**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, m: 3, q: 8}. What is prob of sequence amaa?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 59\/4 of a milligram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - 4*w**3 - 2*w**3)*(-3*w**2 + w**2 + 6*w**2)*(-1 - 4 - 1).\nAnswer: 168*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*k - 136*k + 34*k.\nAnswer: -26*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 15 (c) 4082 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1 + 32 + 2*a + 11. Let b be f(0). Suppose -25 = -q + b. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 134136?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/45593 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-56) - 838\/(-14)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 257*j**2 + 1455*j**4 + 20*j**5 + 469*j**2 - 355*j - 21*j**2 - 790*j**3 + 3285*j**3 = 0.\nAnswer: -71, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103321341301 + -4?\nAnswer: -103321341310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**2 + 1622334*w - 1622337 = 0. What is w?\nAnswer: -540779, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*b - 18 = b, -5*q - 5*b = -10. Let i be q + (-1 - (9\/(-3))\/(-3)). Let t = -1 + 5. Calculate the highest common factor of t and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 3*b + 1. Let g(k) = 3*k**2 - 15*k - 21. Let j be g(6). Calculate n(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/11)*v*v**(5\/9)*v**6*((v*v**(-1\/15)\/v)\/v)\/v*v)**2 assuming v is positive.\nAnswer: v**(6694\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**6\/160 - 19*q**5\/10 - 307*q**4\/32 - 77*q**3\/4 - 32*q**2 + q + 33. Factor n(l).\nAnswer: 3*(l - 154)*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-24))\/((2\/(-2050)*-10)\/((-12)\/(-20))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 442295 and 1326885?\nAnswer: 1326885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1866984.\nAnswer: 1866982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - s + 2*s)*(-1 + 0 - 1) - 854 + 854 - 89*s.\nAnswer: -95*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 822, 3255, 7284, 12885, 20034, 28707, 38880, 50529?\nAnswer: 63630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12 - 16) + (-156)\/(-38). What is the biggest value in u, -0.5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448686583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 10*w - 25. Solve -w*o - 2*k + 6*k = 0, 0 = -o + 2*k + 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 3*m - 2*m**2 - 4 - m - 9*m. Let z be b(-6). Let k be (-24)\/(-18)*3\/z. Solve -5*s - 15 = -k*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -48 + 7*t**2 - 5*t + 71 - 45. Let b(h) = 3*h**2 - 3*h - 11. Let x(f) = -5*b(f) + 3*i(f). What is the derivative of x(p) wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - -1*sqrt(112) - sqrt(112)) + 4 + sqrt(14)\/sqrt(2).\nAnswer: 4 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 434526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**3\/6 - 3*a**2 + 2*a. Let h be j(7). Which is bigger: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, -3\/55, 3, -0.27, 1\/4, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648\/5 at least 329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3095 divided by -9?\nAnswer: -3095\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - 0.6. Put -2, 2, z in decreasing order.\nAnswer: 2, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, z: 2, s: 3, e: 3, g: 5}. Give prob of picking 2 e and 2 w.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 3211023020?\nAnswer: -3211023031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -301\/6, 4, -210, 2\/3 in increasing order.\nAnswer: -210, -301\/6, -2\/11, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -1\/5 (c) -1 (d) -0.1 (e) 45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -116 divided by -4\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 9 + -7 + 0 + 6 - (-10 + -19).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -c. Let l(o) = -o**3 - 9 - 4*o + 4*o. What is l(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-9))\/((-9)\/9)*23.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77 and 1557071.\nAnswer: 119894467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -80804*m**2 - 80813*m**2 + 242426*m**2 - 80810*m**2. Let g(k) = -10*k**2 + 8 + 2*k**2 + 0. Determine g(n(w)).\nAnswer: -8*w**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1576*k - 176 = -1565*k. Put k, 1, 0 in increasing order.\nAnswer: k, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**4\/7 - 3198*r**3 - 10898694*r**2\/7 - 21730238*r\/7 - 10853928\/7 = 0?\nAnswer: -10683, -508, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + -6a1?\nAnswer: -694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87 - -232. Let c be ((-1235)\/52)\/(2\/(-8)). Let x = c - i. Round x to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 + 70 - -7 - 58.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -47 and 108971.\nAnswer: -5121637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2008244*i**2*x**2 + 21*i**2 - 137672449*x**2 wrt i.\nAnswer: -4016488*i*x**2 + 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(300\/(-310))*((-360)\/(-12))\/10.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/4*1*2. Let h = 27 + t. Suppose 0 = -3*x + 3*s + 41 + h, 4*x - 5*s = 110. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33316 + 33318. Suppose 3*w - 2*w + 4 = 0. Let d = w - -8. Solve -22 = -3*v + 5*h, a*v - d = -0*h - 2*h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 447 - -1?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/17 in -3\/8, 15, 2, -1509?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2592) + 3 - ((1 + sqrt(2592))*-5 + sqrt(2592) + sqrt(2592)) - (-5*(sqrt(2592) + sqrt(2592) + -1) + -3 + -3))**2.\nAnswer: 11088*sqrt(2) + 508153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 34*v - 6. Let q be z(12). Does q = -271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, e: 2, z: 2, i: 4}. Give prob of picking 1 i and 1 z.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 24, -63.34, 1\/8, -3, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.336 + 0.31. Let i = 0.03 - v. What is i rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*l, 0 = 2*m - 5*l - 7 - 1. Let g = 10.4 - 10. What is the closest to -4 in m, -0.5, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3709 (b) -0.4 (c) 4 (d) -0.5 (e) -2\/11 (f) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 20 = 2*p. What is the least common multiple of (p\/(-6))\/(7\/84) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iimiiiiiiiiiiiiimi. Give prob of sequence imi.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-28)\/(-6) - 5)*0 - -189 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 178708 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (24\/64*(-145)\/(-87))\/5\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126089193?\nAnswer: 3, 227, 185153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/7, 5, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395 = -w - 4*w. Let v = w + 235\/3. Which is the fourth biggest value? (a) -1 (b) 0.07 (c) 1\/4 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1089))\/(sqrt(75) + 2*sqrt(75)).\nAnswer: -22*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 0)*4\/(-8). Which is smaller: h or -2\/25?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 7*b - 2*b. Let h(x) be the second derivative of -x**4\/12 - 5*x**3\/3 - 5*x**2 + x. Let i be h(-7). Solve -5*y = -2*v + i, -2*v - b = y + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) + -3*sqrt(500))*-6 - (4*sqrt(500) + 5)) + -3)**2.\nAnswer: -1280*sqrt(5) + 32064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 517641 and 327.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 3*i - 3*i)*(-396*i + 201688 - 201688).\nAnswer: -396*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71 + -39. Let r be ((-144)\/15)\/((-3)\/(-420)*4). Let a be ((-3)\/2*2)\/(21\/r). What is the highest common factor of a and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7094239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -17*i**2 + 230*i - 2639. Let u(m) = 155*m**2 - 2070*m + 23750. Let r(o) = 6*u(o) + 55*y(o). What is v in r(v) = 0?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*n + 18, 0 = n - 2*f - 2*f - 19. Which is greater: -1\/11 or n?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 23*h. Let b be a(1). Suppose b - 7 = 4*u. Solve -u*l - 13 - 3 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17719 + 17795.03. Let s = -75 + b. What is s rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*w**3 + 299*w**2 - 299*w**2 - 323*w**3.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 16*z**2 - 340*z - 354. Calculate o(28).\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44748225?\nAnswer: 3, 5, 23, 8647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 127 = 407. Let t(q) = q**3 + 22*q**2 + 18*q + 8. Let r(a) = -a**2 - 15*a - 35. Let s be r(-14). Let m be t(s). Does m = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08 - -0.08. Let m = -2 + d. Let n = -2.24 - m. Round n to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/4 - -1*59 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 5\/3 (c) 0.4 (d) -1.3 (e) 25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j. Let l(o) = -5*o + 25. Let x(g) = 3*l(g) + 6*p(g). Let q be x(22). Sort 2, 5, q.\nAnswer: 2, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -295*s + 5887. What is u(20)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v = 4. Let f = -20 - -33. Let t = f - 13.1. What is the closest to 0.1 in 4, t, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -214532797?\nAnswer: -214532797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000741685 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30730 divided by -1.\nAnswer: 30730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35*11*30\/770.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-270)\/(-390)*13*(-2)\/(-1)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182801206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -21. Put 10, -3, v in increasing order.\nAnswer: -3, v, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, g: 4, c: 2, s: 1, a: 2}. What is prob of sequence ac?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1262 and 6084?\nAnswer: -7678008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 - 88*l - 896. Calculate y(-27).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + c - 1 = 0, 5*c - c + 8616 = 8608 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*m - 11 = 8, -3*r = -2*m + 4. Solve r*j + 1 + 5 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35\/60*2\/(-7). Let v = -4 + 1. Which is the second smallest value? (a) u (b) -2\/29 (c) 2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q**2 - 676*q + 122. Let f(k) = 5*k**2 + 666*k - 121. Let d(s) = 4*a(s) + 5*f(s). What is the derivative of d(y) wrt y?\nAnswer: 2*y + 626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 355, 449, 543?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, p: 1, k: 2, x: 1, t: 2, b: 2}. Give prob of picking 2 t, 1 d, and 1 x.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 minutes after 10:31 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 9610 at most as big as 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 3\/2 - 52\/8. Let d(z) = -z + 6. Does 12 divide d(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 12*o**2 - 8*o - 24. Give i(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40824 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1055 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t**(5\/4)))*t**32)\/(t**5\/t)**(-1\/25) assuming t is positive.\nAnswer: t**(3441\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 13*l**3\/3 + 7*l**2\/2 - 6*l. Is r(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -130, -131, -132?\n\"Answer: -j - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + (-5*(sqrt(25) - sqrt(25)*-2)\/sqrt(5) - (6*sqrt(15)\/sqrt(3) - ((sqrt(5) - (-2 + (sqrt(20) - sqrt(5)))) + sqrt(5)))))**2.\nAnswer: -200*sqrt(5) + 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -4*j**3\/3 - 1. Let z be 4 - (-1 - (-2)\/(-2)). Let v(w) = -z*w + 3*w + 4*w. Calculate v(t(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-387)\/14448*28 - (-438)\/8?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 8:26 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1099.5018 + -1101. Let u = 1172 + -1170.5. Let s = u + g. Round s to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4 + 4*i - 4 + 2*i - 5 - 5*i. Let f(w) = -6*w + 12. Let d(q) = f(q) - l(q). Let k(u) = 2*u. Calculate d(k(o)).\nAnswer: -14*o + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43481 is divided by 6670.\nAnswer: 3461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 9. Let r = p - 1. Solve -m - r = 4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y. Let d(r) = 3*r. Let n(p) = -d(p) + 2*z(p). Suppose m = 5*g - 18 + 59, -g - 4*m = 25. Let b be n(g). Solve 0*u = -x + u + b, -19 = -x + 3*u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -23 - (-58 + (-15 - -64)) - 49\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*m + 7*m. Suppose -m*k + 5*k = 81. Let u = k - -9. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/(-3)*-57*2\/(-4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/495)\/((-3)\/(-18))*(-1249)\/(-31225)?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4434 (base 8) to base 13.\nAnswer: 10a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.26 - 0.2. Which is the second smallest value? (a) 0.4 (b) j (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 117.67232 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3*(-2)\/(-2))\/((-14196)\/260 - (-648)\/12). What is u in -155\/3*u**2 + 100\/3*u + 35\/3*u**4 + 65\/3*u**3 - 20\/3 - 25\/3*u**n = 0?\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-126 + 131)\/(5\/(-4)). Put z, 5, -1, 13, -2 in descending order.\nAnswer: 13, 5, -1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*s + 5*f - 34, -4*s = 5*f - 40. Suppose -8*g = -s*g - 10. Which is greater: g or -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94*n**2 + 304*n wrt n.\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/5200840 and -107\/1560252.\nAnswer: 15602520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 - (12 + -24).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 91 + 113 = 0. Suppose 0 = 4*v + 3*t - 42, -6*v + 3*v - t = -g. Solve v = -5*k + 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5058 divided by 4\nAnswer: -2529\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (9 - (5 - (-4 - -8)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of o**3\/3 - 3*o**2\/2 + 6*o + 64. Let f(p) = -1. Give 6*f(d) + k(d).\nAnswer: d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**2\/3 + 4300*j - 932696\/3 = 0.\nAnswer: 74, 3151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 274934 + -5?\nAnswer: 27492f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 3 = -3*p - 2*p, -4*k + 433*p - 998 = 321 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(200) + -3 + sqrt(200) + sqrt(200) + sqrt(200) + sqrt(200) + sqrt(200))*6)**2*1 + -1.\nAnswer: -51840*sqrt(2) + 1038095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-15))\/(8\/(-30))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.262 (b) 1\/3 (c) 0.4 (d) 1 (e) -2\/13 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15790 - 15776. What is the remainder when 39870 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1781 (b) -0.25 (c) -0.4 (d) -1 (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20338, 40686, 61048, 81430, 101838, 122278, 142756?\nAnswer: 163278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w**2 + 53*w - 4. Let k(a) = 3*a**2 + 26*a - 2. Calculate -3*c(f) + 7*k(f).\nAnswer: 3*f**2 + 23*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**4\/8 + 48846*k**3 + 6448761*k**2\/4 + 17735091*k + 520243977\/8 = 0. What is k?\nAnswer: -11, 130289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1648 divide 1118992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3381.17928 to zero decimal places.\nAnswer: -3381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3140 - 21?\nAnswer: 311a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (4 - (0 - (-4 - 9))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1149 divided by 273?\nAnswer: -383\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 222655?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from {o: 2, j: 1, q: 2, y: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67775*s**5 - 14*s**2 + 55*s + 6 wrt s?\nAnswer: -4066500*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from nyxyxxxnfaxjn.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/5 - 0 - (-67606)\/(-4390).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4, -0.1, -1, -3\/2, -1\/248, 1481?\nAnswer: -1\/248","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 33?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -18. Let i = -234 - -234.3. What is the third smallest value in i, -11, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13290 + -239155\/18. Let y(p) = 8*p**3 + p + 1. Let v be y(-1). Calculate the common denominator of v\/(-10)*122\/(-32) and k.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -478.3 + 520. What is a rounded to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (2 + -1 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 - 381 - 317 = -32*s for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5 - 154*c + 295*c - 152*c + 3*c**2. Let g(t) = -t**2 + t + 1. Let n(j) = 22*g(j) + 2*u(j). Differentiate n(b) with respect to b.\nAnswer: -32*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -174 - -278. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 1:03 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 3004605?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4616212.\nAnswer: 2, 811, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r + 14*r - 42*r + 2508 = 0. Calculate the remainder when 394 is divided by r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 723.04 + -723. Which is the fourth biggest value? (a) 3\/5 (b) k (c) 2 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3927.9 - 0.\nAnswer: -3927.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-1*sqrt(392))\/sqrt(8))\/((sqrt(7)*2 - sqrt(7))*-3))**2 - (((-6*(2*sqrt(70) + sqrt(70)))\/sqrt(10)*5)**2 + 1).\nAnswer: -510281\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.08 (c) 40\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 7*v**2 - 4*v - 4. Give p(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**6\/120 - v**3\/3 + 3*v**2. Let t be (2\/4)\/((-1)\/2). Let r = -3 - t. Give q(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564933179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 not equal to 647\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 105132401?\nAnswer: -105132353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.31 in -0.5, -2, 2\/7, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(1\/6)\/(97\/2716).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/4, -0.5, 0.7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 3*w - 16143, 3*u = 4*w - 6*w + 16138. Let x = u - 10765. Let z = 118519\/22 + x. Calculate the common denominator of -93\/8 and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 1, m: 5, x: 10}. Give prob of sequence mm.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -102126?\nAnswer: 102127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 333691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 21056 + 187.8917039\nAnswer: 21243.8917039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10360096 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*d + 1391 = 1048 - 1202 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 32b?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 6*u**2 - 2*u + 15. Let a be v(6). Solve -10 = -6*d + a*d - 5*l, 12 = 2*d - 2*l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -1, -2\/9, -1.8, -0.04453, -0.6, 4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1 (c) 3 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*f = 6*i - 95, 2*f = 3*i - 60. What is the smallest common multiple of i and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 36*a**2 + 32*a - 240.\nAnswer: 4*(a - 2)*(a + 5)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjdlkdddjjjljjjjdjpd. What is prob of sequence jjpl?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3 + c**3 - 8*c**2 - 8*c**2 + 0*c**3 + 14*c + c**2. Let o be i(14). Solve -9 = -3*y - o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -155*z - 785. Let a be h(-5). Put a, -0.2, 0.3 in ascending order.\nAnswer: a, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 3:51 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - v + 106 = 0, -2*m + 4*v + 224 = -0*m. Suppose -113*t = -m*t - 1270. Does 22 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1311 (base 4) to base 16\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/4127? (a) -22\/23 (b) 1 (c) 13 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2584 - -2583.8. What is the closest to x in -1\/3, 0.09, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.01, 4, 0.5, -10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80862697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 87.85837 centuries?\nAnswer: 105430.044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 961, 340, -703, -2174, -4079, -6424, -9215?\nAnswer: -12458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 w when four letters picked without replacement from ssssssswssssssswss.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*x**2 - 7*x - 29\/4 = 0. Calculate x.\nAnswer: -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10 - (-2)\/15*3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 5*y**2 + y + 17. Give j(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 62b83 + -1?\nAnswer: 62b82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 4:43 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/11)\/t*t\/(t\/((t**(-4)*t)\/t))*t*(t\/t**(-2\/21))\/t*t**(-4) assuming t is positive.\nAnswer: t**(-1847\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert bb8 (base 14) to base 3.\nAnswer: 10011212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from jjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6780 + 6877. Are -2\/69 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 10:07 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-6 - 77 - -28) - 17\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -13. Let r = t - 7. Solve -a = -0 - r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1247595 = 18*v + 96009. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(1\/3)*f))\/f)**(-22))**49 assuming f is positive.\nAnswer: f**(4312\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 12*s - 3. Suppose m = 4*m - 57. What is the remainder when m is divided by r(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16455278?\nAnswer: 2, 7, 167911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/6405 and 36\/73171?\nAnswer: 66951465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106 + 135. What is the remainder when 142 is divided by a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150667291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -77 or 0.0671?\nAnswer: 0.0671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2883823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 60 = 99*u - 138 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -14 + 2 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 74 = 92. List the prime factors of (2 + 8\/i)*744\/16.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3003 divided by 52?\nAnswer: -231\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 503772291139 - -2.\nAnswer: 503772291141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5759+99\nAnswer: 5858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466 is divided by 10*(-9)\/(-18) - (-147 - -4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -184 - -129?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 + 84. Calculate the highest common divisor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**3\/6 + 45*t**2\/2 - 2*t - 2. Let h be k(0). Let f = 47 - h. Solve 2*m + f = 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -416 - -563. Let t = -45 - -85. Calculate the remainder when c is divided by t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -144105 - -3?\nAnswer: -144102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3) + 5 + (214 - 196)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 bigger than 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 450\/(-1050)*(-1771)\/(-33)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236 + 238 + 210 - 924 + 232 + 3*u.\nAnswer: 3*u - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-4))\/5*12\/(144\/(-276))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -2*a - 0*a + 21, 94 = -15*a + 3*o + 124 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-167 + 17 + 28)*(-16*c + 14*c - 20*c) in the form u + w*c and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3474*z - 3471*z + 6932*z.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1)**33)**(1\/19)\/(o**1\/o**(-1\/6)*(o**1*o)**(-9)) assuming o is positive.\nAnswer: o**(2117\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 271392528 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from itcihthc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 - 257*i**3 + 12075*i**2 - 23383*i + 11564.\nAnswer: (i - 196)*(i - 59)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3074 + -61363\/20. Let w be (2 + -1)\/((-3)\/9). Calculate the common denominator of (5\/(-2))\/(w - -2) and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1130435914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 1. Suppose -9*t + 10 = 55. Sort 5, t, h in ascending order.\nAnswer: t, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3 - 3 - 5*f. Let t(d) be the third derivative of 5*d**4\/24 + 41*d**2 + 12*d. What is u(t(x))?\nAnswer: -25*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*t - 73*t = -3*i - 273, -194 + 47 = -5*i - 4*t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80436667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 17*m**2 + 13*m + 19. List the prime factors of z(18).\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -40*r + 0*r**4 - 7\/2*r**2 + 0*r**5 + 0 - 23\/30*r**6 + 0*r**3. What is the first derivative of d(p) wrt p?\nAnswer: -92*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 5, u: 4, k: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: dc483b (base 15) to base 3\nAnswer: 201202012001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 151, 149, 149, 151?\n\"Answer: l**2 - 5*l + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*g = -6 + 3, 5*g - 12 = -2*w. Suppose -w = y, -3*p = 2*p - 2*y + 3. Put -3, p, 4 in ascending order.\nAnswer: -3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*y**2 + 2*y**3 + 49*y**2 - 29*y**2 as w*y + g*y**2 + o + v*y**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 142485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.832056g in milligrams?\nAnswer: 1832.056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 71*b**2 - 8*b - 16. Let k be r(-5). Suppose -27*l + k = -26*l. What are the prime factors of l?\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14224149 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 248 + 40*n - 495 + 263. What are the prime factors of m(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 9*j - 15. Let c = -5624 + 5624. Solve -2*o - j = -3*n, 4*n - 2*o + c*o = 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (8 - 6) - (-1 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16600 (base 12) in base 4?\nAnswer: -13303200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -3 + -1 + 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14000\/(-4200)*6\/38\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 225471647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 7514 + 1838 = 2*f, 4534 = 4*t - 5*f. List the prime factors of t.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0958567 * -32\nAnswer: 3.0674144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.15 and 33.02?\nAnswer: 33.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (30 + -37) - 40?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15318 from -9.\nAnswer: 15309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1368458, -2736745, -4105032, -5473319?\nAnswer: -6841606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704)*2*-3 + -1.\nAnswer: -48*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 1 = 3*f. Let g(s) = -8*s**3 - 5*s. List the prime factors of g(f).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z - 17. Let i(a) = -19*a + 52. Determine 3*i(j) + 8*m(j).\nAnswer: -j + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otvy when four letters picked without replacement from vyytqzttyvqoty.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 41a31 - 723?\nAnswer: 41309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -97 - -377. List the prime factors of b.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 12, 0 = -j + 3*v + 8326883 - 2246892. What is j rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - 4*x + 2*x + (2*x - 2*x - x)*(2 + 1 - 4) - 7*x - 11*x + 5*x + 4*x - 4*x + x - 3*x + 0*x + 7*x + (0*x + 0*x + x)*(2 + 0 + 0) - 5 - x + 5 - 3 + 3 + 2*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2)*b**(-2\/13))**(-3\/25) assuming b is positive.\nAnswer: b**(-111\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 961 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470361814 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 235*a**4\/4 - 3*a**2\/2 - 1360*a - 1485. What is the first derivative of p(d) wrt d?\nAnswer: 705*d**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1000230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 51\/15)*4*(1350\/1584)\/(-15).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 1317975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286045 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -7 - 5 - (-28 + 42)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00966 rounded to four decimal places?\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**4\/2 - 8*a**2 - 18. Find the second derivative of i(n) wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -399 and 1781 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2651?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, 22, 40, 58, 76?\n\"Answer: 18*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 7 (b) -1 (c) -1250\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25118502, 25118503, 25118504?\n\"Answer: y + 25118501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 12*v**2 - v - 1. Let y be o(-1). Let z(x) be the second derivative of x**3\/2 - 7*x**2 + x. List the prime factors of z(y).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7310?\nAnswer: 2, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c3a0 + 78?\nAnswer: 1c428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-390) + (-32)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-18)\/(-9))\/28\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 7*f**2 + 7*f + 31. Let z be j(7). What is the hundreds digit of (-1112)\/(-1)*30\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.24 or -96\/13?\nAnswer: -96\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4054? (a) -0.5 (b) 0.4 (c) -0.1 (d) 0.3 (e) 0.073 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 21*g + 1236. Give v(-52).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692935 is divided by 4849.\nAnswer: 4377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/7 - 6\/(-21). Let j = g + 0. Suppose 22*a - 27*a + 3*s + 37 = 0, -5*s + 45 = 5*a. Solve -y - y - a = j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 2. Let z be t(-2). Suppose -4*v = 5*s + 1 - 20, 5*v - 29 = -s. Let m be v\/(-6)*1*-2. Solve 6*k - m*k = z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooom when four letters picked without replacement from soesosoeeeoeeoeosmeo.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22729, -41558, -56489, -67522?\nAnswer: -74657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111792*i**3 - 4198*i**2 - 3 wrt i.\nAnswer: 670752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19338519*p**4 + 15*p**3 - 2*p**2 + 93692707*p wrt p?\nAnswer: -464124456*p + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23800592.\nAnswer: 2, 449, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-282)\/(-4) - (-1)\/(-2). Suppose -g = -4*c + 62 + 32, 3*c - g - z = 0. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6160 (b) 17 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000874005 to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1. Let s(y) = -y + 1. What is 2*s(p) + 5*t(p)?\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**4 - 35*s**3 + 75*s**2 - 45*s = 0. What is s?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -1448.\nAnswer: -1447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/45)\/(4\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -113081, -113077, -113071, -113063?\n\"Answer: m**2 + m - 113083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*v**2*y**2 - 21246*v**2 - 23*v*y**2 + 2*y**2 - 3*y wrt y.\nAnswer: 92*v**2 - 46*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from vuupdutuuaddu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 828 and 8 + (0 - (-6)\/9)*15405\/10.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5563, 5565, 5567, 5569, 5571?\n\"Answer: 2*u + 5561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, -3424, 9, -4 in descending order.\nAnswer: 9, 2, -4, -6, -3424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -11*k - 29. Let o(n) = 6*n + 15. Let c(u) = -4*f(u) - 7*o(u). Let d be c(-4). Solve -2*y = -4*q - 3*y + 22, 2*q + d*y - 16 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 365156 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 8*y - 15. Give h(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 209243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w**2 + 3*w**2 + 3*w**2)*(18*w - 54*w + 25*w)*(-5 - 3 + 2)*(-5 + 2 + 4) as k*w + h*w**3 + s*w**2 + f and give h.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30402416 = 4*w - 0*w. Let v = w + 5400604. Round v to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 95, 97, 99, 101?\n\"Answer: 2*p + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -8\/597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from ulrrhruukuhl?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 912099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8428 take away -10.5?\nAnswer: 8438.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 11*q - 20 = 0. Suppose q*h - 244 = -5*v, -4*v + 3*h + h + 188 = 0. Let r = v - 46. Let j(d) = 2*d**2 - 2*d - 1. What is j(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1976.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**5\/10 - u**2. Let y(c) be the first derivative of -c**2\/2 + 31. Calculate y(f(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/(-22))\/(2\/51). Let i = -2353\/44 - g. Let h = -64109\/11 + 5823. Find the common denominator of i and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 2 = -3*j + c, -5*j = 5*c - 5. Let p(v) = j*v - 6 - v - 2*v - 3*v. Determine p(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.16 - 0.06. Let s be (-1)\/11*(-2)\/6. Let q = s - 25\/99. What is the biggest value in q, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -46?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5.4540165*-3\nAnswer: -16.3620495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -743 - 4*o + 3700 - 748 - 732 - 739 - 740.\nAnswer: -4*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.893 + 0.107. Which is the closest to 3? (a) v (b) -1\/6 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/((-108)\/20 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 15*n + 780 = 813, 0 = -3*p + n + 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 497\/6 + -3 - (-5)\/30. Let l be (p\/(-12) - -6)\/(2\/(-3)). Let n(j) = 492*j - 3. Let g be n(l). Round g to the nearest 10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 126498596 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeertreeeederededr. What is prob of picking 3 d?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 1. Let b be l(1). Suppose b = 2*t + t - 159. Suppose -2*k - 3*v = -t + 15, 6 = 2*k - 5*v. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 25 + 1172 + -1168.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 20 = 5*o, 0*d - d = -5*o + 20. What is the smallest common multiple of 2\/(-3) - (-14)\/3 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36771.75s in minutes?\nAnswer: 612.8625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*k = -72*k + 10. Find the second derivative of 4*d + 2 + k*d + 36*d**2 + 11*d - 237*d**2 wrt d.\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/174 - ((-66657)\/1479 - -45))*42?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m - 43. Let r be b(14). Suppose 2*s = r*s - 363. Calculate the highest common factor of 66 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1746501.222 times 1\nAnswer: -1746501.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -221?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*i**3 + 6396418*i**2 + 3655072*i + 522152 = 0.\nAnswer: -65269, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -11 + (9 - 9) + 1 + 2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*f, 46*f - 49*f = -5*h - 32. Let s(a) be the second derivative of -5\/12*a**f + 6*a + 1\/2*a**3 - 2*a**2 + 1\/20*a**5 + 0. What is s(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 16 = x, 3*n - n - 8 = 0. Suppose -c + f + 9 = x, -4*f - 14 + 2 = 0. Let o(j) = j**2 - 8*j + 9. What is o(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-9))\/((3304\/144)\/(-59)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 35*y - 50. Let o(s) = -104*s + 148. Let g(c) = -3*o(c) - 8*z(c). Let a be g(2). Solve 0 = -5*k + 5 + a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8.1 (b) -19 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/21)\/(((-225)\/(-825))\/((-112)\/11))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -2656*b**4 - 4*b**3\/3 + 5*b**2\/2 - 2*b + 33. Let a be q(2). What is a rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-1\/5))\/t**(-1)*(t**2\/t)**(-2))**33)**(-34) assuming t is positive.\nAnswer: t**(1122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*o + 26. 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 = 5*o + 2*n, -5*o + o - 4*n = 0. Suppose 3*p = -o*p + 117. Suppose -a + 1 = 4*v, -5*a - 2*v = v - p. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 140\/(-21) - 2\/(-3). Let h be 29\/3 + m\/9. Suppose 0 = -7*n + h*n - 8. Solve -v - n*k + 18 = 0, k = -2 + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/60 and 33\/191680.\nAnswer: 575040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**2\/p*p**(10\/3)*p\/p**(-2\/23)*p**(3\/4) assuming p is positive.\nAnswer: p**(1703\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21551 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c**2. Let w(f) = -8*f - f**2 + 8*f. Calculate u(w(j)).\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -279\/2*n**3 + 69\/2*n**2 + 6*n**4 + 0*n + 0 = 0. Calculate n.\nAnswer: 0, 1\/4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1000771 = -5*y, k + 336561 = 3*y - 263908. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -1\/4 (c) -28 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/2, -1, 3\/4, -782.\nAnswer: -782, -1, 0.3, 1\/2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*s + 242888*s**2 - 24 - 242885*s**2 - 3 as c + b*s + h*s**2 and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 p, and 1 n when three letters picked without replacement from pmiipiiipimnpiihp.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3447 is divided by 685.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -451\/6 - -3829\/51. Let d = 7\/17 - t. Let f(y) = -y - 4. Let a be f(-6). Are a and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/63016 and 77\/78770.\nAnswer: 315080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 10 + 1. Let h(t) = 3*t**2 - 2*t - 4. Let v be h(-2). Let y be u\/v + 21\/4. Solve 0 = 4*l - y*s - 10 - 5, -s - 3 = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.184 + 0.184. Let u = -0.08 - 3.92. Which is the second biggest value? (a) h (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139*0.151\nAnswer: -20.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000228571 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (23496\/108)\/(-22) + 9. Which is bigger: 73 or n?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**4 - 63921*r**3 + 63923*r**2 + 63921*r - 63922 = 0.\nAnswer: -63922, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*p - m = 535*p + 22, 5*p + 5*m - 10 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + i - 3*i)*(-19 + i - 6 + 3).\nAnswer: -i**2 + 22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 220.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 - v**2 + 49 + 41 - 6*v**2 to i*v + d + m*v**2 and give d.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 36*q - 19*q + 1 - 17*q - 8*q**2. Let j(h) = h. Determine r(j(w)).\nAnswer: -8*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 225*f**2*l**3 + 16*f**2*l**2 - 2*f**2*l + 291*f**2 - 1035*f*l**3 - 525*l wrt f?\nAnswer: 450*l**3 + 32*l**2 - 4*l + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1281, -2528, -3775, -5022?\n\"Answer: -1247*m - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4303 and -108146?\nAnswer: 103843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 182 = -4*v, -x + 4*x + 210 = -3*v. Let a be 1\/(-4) + x\/(-8). Let k = 11782 - 11779. Solve a + 1 = k*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 0.1?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2348, -4678, -7008?\n\"Answer: -2330*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q. Let t(i) = -3*i**2 - 82*i - 124. Determine t(m(j)).\nAnswer: -12*j**2 + 164*j - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2*t + t)*(0*t**2 + t**2 + t**2) + (0*t + 2*t**2 + 0*t)*(5*t - t - 2*t) - 236*t**3 - 228*t**3 + 667*t**3.\nAnswer: 203*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41929 is divided by 892?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -9*t + 22. Determine y(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 11:27 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 3:32 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + k = -354, -257 = -5*u - k + 621. Suppose 0 = -189*q + u*q + 18278. List the prime factors of q.\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(18\/9) - -8. Let d(k) = 23*k**2 + 11*k - 5. Let h(a) = -6*a + 9 - 17 + 8*a**2 + 10*a + 6. Calculate m*d(v) - 8*h(v).\nAnswer: 5*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15328 and 5269?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 347329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -5*y**6\/156 + y**5\/26 + 3*y**4\/52 + y**3\/39 + 9*y**2. Factor f(r).\nAnswer: -2*(r - 1)*(5*r + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 43. Let o(v) = x*v - 24*v + 14*v + 1. Calculate the remainder when 73 is divided by o(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k - 6 = 9*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3041 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 156*d - 9*d + 20*d in the form u*d + l and give u.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tff when three letters picked without replacement from {t: 17, f: 3}.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 179, 2\/13, 2\/5, 12537.3 in increasing order.\nAnswer: 2\/13, 2\/5, 179, 12537.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*f + 30. What is the closest to 0.3 in 4, 1\/2, -0.13, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787487 to the power of 1\/2, to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5654868 divided by 471239?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - 16. Let f = 8 - 13. What are the prime factors of f\/(15\/o) - -1?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-636)\/(-1320) - (-15)\/(-50). Let r = -49 - -24. Let y = 21 + r. What is the third biggest value in b, 0.9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 4*f - 16, 0 = -5*d - f - 7 + 11 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 27790*y**2 + 47*y - 84. Let q be a(-8). What is q rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16303394 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-10))\/(12\/40). Suppose s*x = -x. Let q(a) = -3*a + 10. What is the lowest common multiple of q(x) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 8 (c) -0.1 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1117 - -1140. Let h(d) = -21*d. Let m be h(-1). What is the remainder when u is divided by (-60)\/(-14) - 6\/m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 954 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(3\/8)*l)\/((l\/(l**(-1)*l*l))\/l)*(l\/(l\/l**(-1)))**(-7\/3))**34)**(-7\/9) assuming l is positive.\nAnswer: l**(-14161\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 376984 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: List the prime factors of 127434.\nAnswer: 2, 3, 67, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 5*i + 4*i)*(i**3 + 3*i**3 - 2*i**3) + (5 - 2 + 3)*(2*i**4 + 0*i**4 + 0*i**4).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 6*h. Let b be p(6). Suppose -86 = -b*r - 2*r. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2\/17 (b) 1\/4 (c) -18 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/6 - 82\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-22)*f)\/((f\/f**(-3\/7))\/f))**36 assuming f is positive.\nAnswer: f**(-5400\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8*v**2 + 6. Let r(n) = 9*n**2 + 7. Let h(i) = -6*r(i) + 7*w(i). Let g(s) = -2*s - 3*s**2 + 2*s. What is h(g(a))?\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**7\/210 + k**3\/6 - k**2\/2 - 3*k. Let d(j) be the first derivative of l(j). Find the first derivative of d(t) wrt t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 454? (a) 0.5 (b) 0.1 (c) 2\/5 (d) -4\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8936.1, 1\/3, 0, -1\/6, -0.2 in decreasing order.\nAnswer: 1\/3, 0, -1\/6, -0.2, -8936.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 162377851\/83348 + -130680\/67. Let z = 2\/311 + f. Which is smaller: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10968)\/(-5)*2405\/1924. Calculate the highest common factor of i and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 1:09 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -503730 or -503925?\nAnswer: -503925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/((-4)\/(-5 + 3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0241304268 rounded to five dps?\nAnswer: 0.02413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49.9 - 50. Is b < 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -2\/56566169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -85, -146, -207, -268, -329, -390?\n\"Answer: -61*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * -3399800.\nAnswer: 169990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8137109 and 22424.\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*0*3\/12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 785 - 717. Suppose -v = -15*b - 2*b. Let y(q) = -q**2 + q. Calculate y(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*n - 78, 0 = 5*n + 81 - 66. Solve 0 = -3*x - 6*k + 10*k - m, -2*x - 3*k + 1 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2\/175 (c) 0.4 (d) -8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 623619, 1247240, 1870861, 2494482?\n\"Answer: 623621*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 37*o + 2688. What is the hundreds digit of v(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 17*i**2 - 47*i + 21. What is x(19)?\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001000011 + 10?\nAnswer: -10001000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + -31. Let h(s) = 6*s - 46. Let m be h(10). Let c = a + m. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 25*m + 157. Let p(f) = -4*f + 57. Calculate the remainder when c(-6) is divided by p(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 566 = -2*x, 0 = 4*x - 2*x + 4*z - 568. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 11:59 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bic when three letters picked without replacement from isciisciiciibcgisi?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*x + 2*x - 4 = 0, 8 = -4*x. Let l(b) = b**3 - b**2 + 1. Let m be l(2). Suppose -m*f + 3*y + 9 = 0, d*y + 0 - 11 = -f. Solve 0*w - w = f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1030a + -7?\nAnswer: -10312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2696581*q - 582*q**2 - 30*q**4 + 2840*q**4 - 2696582*q wrt q.\nAnswer: 67440*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011110011 + -1?\nAnswer: -1011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -35796, 7, -5 in increasing order.\nAnswer: -35796, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 72*u**2 + 153*u - 822. Determine q(70).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39286, -157099, -353454, -628351, -981790?\nAnswer: -1413771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10332 and 65898.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 157429 a multiple of 371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(275) + sqrt(275) - (1 + sqrt(275))*2)**2 - ((-2 + sqrt(1331) + sqrt(1331))*-5*1)**2.\nAnswer: -132924 + 2190*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -140 (base 15) to base 8\nAnswer: -435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 20, 28, 32, 26, 4, -40, -112?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 42*t - 101. Let p(o) be the second derivative of -1\/6*o**2 + 0 + 1\/36*o**t - 1\/60*o**5 - 3*o + 1\/18*o**3. Factor p(h).\nAnswer: -(h - 1)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 2. Let t be k(2). Find the third derivative of t*r**5 - 2*r**2 + r**2 + 0*r**5 - 3*r**6 wrt r.\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + k + 2. Let h be z(0). Solve 2*a**3 + 60*a**h + 12*a + 14*a**3 - 11*a**3 - 105*a**4 + 28*a**3 = 0 for a.\nAnswer: -2\/5, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 2:29 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p + 3. Let l be g(-3). Let r be 5\/4*(-3)\/l. Let m = -37\/5 - -269\/35. Put -1, r, m in descending order.\nAnswer: m, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, w: 2, x: 2, a: 1, o: 1, d: 1}. Give prob of sequence xoaw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.1? (a) 0.1 (b) -1 (c) 5 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1573) - sqrt(1573))**2 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2508, -3\/8, 1.15, 2\/79 in increasing order.\nAnswer: -2508, -3\/8, 2\/79, 1.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 2*y + 750, 176*j + 570 = 179*j - y. Let g be ((-6)\/(-4))\/((-129)\/(-126) - 1). Calculate the highest common factor of j and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 8. Let n be (1\/1 + -10)*-1. Suppose 5*p - p + 2*x - 14 = 0, 0 = -3*p - 3*x + n. What is the closest to r in 1, -1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x + 5. Let p(s) = 6*s - 3*s - 7*s - 2 + 3*s. Let y(n) = -2*m(n) - 5*p(n). Let l(j) = -3 + 24*j**2 + 3. What is y(l(v))?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 3*a**2 + a - 4. Let r(t) = -4*t + 2. Let m(q) = 5*q - 3. Let w(z) = 3*m(z) + 4*r(z). Let x be w(2). What is c(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g + 0*g + 5*g. Let q(v) be the third derivative of v**7\/280 - v**4\/2 + 14*v**2. Let k(u) be the second derivative of q(u). Calculate k(d(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + 1*sqrt(396) + sqrt(396).\nAnswer: 9 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15, -119, -223?\n\"Answer: -104*n + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/56 + (-306735)\/(-462).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2824127?\nAnswer: 2824127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlzyzlqm. What is prob of picking 2 z, 1 q, and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7bd0 (base 15) to base 11\nAnswer: 18835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/17785 and 72\/2695.\nAnswer: 9586115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 9*s**2 + 8*s - 5. Give h(10).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2399.4 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -155568215 from -141.4.\nAnswer: 155568073.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 3\/5, -5, -4, 8\/8579, 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61029.\nAnswer: 3, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**4\/4 + 2*s**3 + 11*s**2\/2 + 7*s + 1473. Calculate n(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211232013 (base 4) in base 11?\nAnswer: -a6098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85998?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (6 - (-9 - -17)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10450 - -5?\nAnswer: -10441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) 39 (c) -0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 1, -48, 10, -2\/3, 1\/3, -90?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 705 = -288. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 788146 divided by -10?\nAnswer: -394073\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 27 = -3*j, 2*j - 144 = 2*d - 4*j - 80 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/8276 and -17\/416.\nAnswer: 860704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 80*u = -85*u + 25, -4*u + 20 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/68 and -33\/32?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -12*x**2 + 8*x + 3. Let g(m) = -4*m**2 + 3*m + 1. What is 8*g(i) - 3*w(i)?\nAnswer: 4*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + t = -3*b + 15, 2*t = 3*b - 13. Let g(s) = -3 + s**2 + b. Let p(z) = 3*z. Give p(g(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1206.8, 5, 14, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*r + 3)*(0 + 3 - 5) - 2*r - 2*r + 3*r + (-14*r - 53*r + 13*r)*(5 - 5 - 1).\nAnswer: 49*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2.1. Suppose -3*f = 0, -f + 2 = -2*h + 4*f. Let d be (1 - (h - -3))\/(-3). Sort -4, d, w.\nAnswer: -4, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 245 and 35.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(30)\/(sqrt(6)*-1) + -3) + -1.\nAnswer: 2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3546324458 take away 13104?\nAnswer: 3546311354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 1\/3, 0.05, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 smaller than -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2643?\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*6*(-6)\/(-72).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3279635559?\nAnswer: 3, 14543, 25057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/81 + (-102)\/(-27). Suppose -2*y - 8 = 0, -t*m - m - 5*y + 35 = 0. Calculate the remainder when 21 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 6*v - 77. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*g - 65 = 64*g. Let i be (-3 + 0)\/(3\/(-4)). Sort i, 23, g in descending order.\nAnswer: 23, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v = -13*v - 4*u - 3964, 5*v - 9897 = -3*u. What are the prime factors of v?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from prrrpprrprrrrr.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -1\/3*b**3 + 1\/18*b**4 + 0 - 4\/3*b**2 - 94*b. Factor l(r).\nAnswer: 2*(r - 4)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubuzzubzzuub. Give prob of sequence bz.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (3\/(-6) - (-2 - -2))*-24 and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8765908?\nAnswer: 2, 2191477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 4, 5\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6828737761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.51, 1\/4, -3, -10, -0.7 in ascending order.\nAnswer: -10, -3, -0.7, 1\/4, 1.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 162\/(-12)*(-2 - 0). Suppose 3*o = -2*w + 24, -h = -3*o - 2*o + w. Solve -c + 15 = -o*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqifqfxiq. Give prob of sequence qq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*c**4*d - 103742*c**4 - 2*c**3 + 15241466*c**2*d wrt c?\nAnswer: 96*c*d - 2489808*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from ffffjfffffjjffff.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -13) + (3 - (-5 - -5)) - 36.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - x + x)*(-433483*x + 433489*x - 2*x**2 + 0*x**2 - 3).\nAnswer: -4*x**3 + 12*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8352 and 22968?\nAnswer: 91872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 + 70584*h - 16944768\/5.\nAnswer: 2*(h - 48)*(h + 176508)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 209995*j**2 + 2*j - 1. Let g be k(1). Suppose -4*v = 5*n - 355185 + 1405201, -v = -n - g. What is n rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -499*j + 2863*j**2 + 499*j - 832*j**2 as u*j**2 + h*j + k and give u.\nAnswer: 2031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 25*y**2 - 40*y - 583. List the prime factors of c(-33).\nAnswer: 2, 11, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113777450 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2476433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2280 + -2365. Which is smaller: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 10*o**2 + 20*o + 4. Let w be (-14)\/(-1) - ((-16)\/(-20))\/(76\/475). Calculate n(w).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057405 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/((-4)\/6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(4\/19)*h\/(h*h*h**3)*h**(-2\/35)*h*h assuming h is positive.\nAnswer: h**(-72\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025554 is divided by 587.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.20584s in nanoseconds?\nAnswer: 98205840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/699084 and -107\/3582.\nAnswer: 139117716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-1*-2 + 4*(sqrt(119) - 1*sqrt(119)))\/(-6*(sqrt(567) + sqrt(567)*-4) + sqrt(567) + sqrt(567) - sqrt(567)).\nAnswer: 2*sqrt(17)\/171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-12))\/(1\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -125a0 (base 13) to base 3\nAnswer: -1201112200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 8 = -3*r + 3*c, 4*r = 2*c + 20. Suppose -q = 4*q + r*q. Suppose 4*j + 0*j - 256400000 = q. Round j to the nearest 1000000.\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5047 is divided by 315?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(3 - (-77)\/(-21))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 12, 2*b - 3*m + 1 = -0*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 198, -220, -1394, -3702, -7522, -13232?\n\"Answer: -63*y**3 + 23*y + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d**2 - 3*d. Let l be t(2). Let n be 7\/(-15) - (-6)\/l. Which is the second smallest value? (a) 5 (b) -0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 5*g = 35, -g - 21 = 6*a - a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 243, -1, -4, -2, 9, 34 in descending order.\nAnswer: 243, 34, 9, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.01 and -374.\nAnswer: -374.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3 (c) 4\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, 0, 1, -4, 3, 12, -8658?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19654 + 19649. Let y(d) be the second derivative of -d**4\/12 - 7*d**3\/6 - 2*d**2 + d. Let t be y(-6). Sort g, 3, t.\nAnswer: g, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47373 + 3839627. What is n rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 5144705892.\nAnswer: 5144705896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 8. Solve -i = u*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7605 - 3426 - 4182 - 73*d.\nAnswer: -73*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3187, -6276, -9367, -12460, -15555, -18652?\n\"Answer: -d**2 - 3086*d - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 + 18*z**3 - 52*z**2 + 48*z.\nAnswer: -2*z*(z - 4)*(z - 3)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1165375.5 rounded to the nearest one thousand?\nAnswer: -1165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*s = -3*u - 20, -2*s + 10 = 0. Suppose 3*d = -5*h + 45, 3*d + u*h - 5*h = 45. Let n = d - 10. What is the third smallest value in n, 0.2, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6349.206l?\nAnswer: 6349206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3297 = -5*c + 3308, 2*c = 2*v + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95*i**6 - 14*i**2 + 2*i wrt i.\nAnswer: -11400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8 = 0, 4*w - 2*s = -6 + 2. Suppose w = -2*b - 2*b. Let g be (0 - (1 - b)) + 11. Solve m = 2*h + 6 + 2, -g = 5*m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 42*y - 2*y**2 + 33 - 23)*(-4*y**2 + 7*y**2 + 3*y**2) - 4*y**4 + 5*y**4 + 3*y**4.\nAnswer: -8*y**4 - 252*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 12. Factor x*s + 0 - 7*s**3 - 2*s**2 + 2 + 8*s**3 - 5*s**3.\nAnswer: -2*(s - 1)*(s + 1)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17861 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000010000100000 (base 2) in base 14?\nAnswer: 1a3a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-20)*7585\/(-27306)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1243 and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1284 by -4.\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2409?\nAnswer: 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12255 or -1?\nAnswer: 12255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/2073218 and -99\/32282966?\nAnswer: 225980762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/28*-2*5\/(150\/20).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 153.\nAnswer: -61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -17 (b) -18 (c) -0.83 (d) 5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -627032 (base 9) to base 14.\nAnswer: -99aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5907, -22770, -50641, -89520, -139407, -200302, -272205?\n\"Answer: -5504*m**2 - 351*m - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/(-88) + (-1513)\/(-8) + -3 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16539.\nAnswer: 3, 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fx when two letters picked without replacement from {f: 2, x: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 12:14 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 415 - 244. Let u = 174 - r. Let b(g) = -5*g**3 + g - 2. Let j(t) = 4*t**3 + 1. What is u*j(h) + 2*b(h)?\nAnswer: 2*h**3 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8392071g to nanograms.\nAnswer: 839207100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 65*g**3 - 257*g**2 + 25*g - 1. What is o(4)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2081*t**3 - 15163*t**3 + 31827 - 31827.\nAnswer: -13082*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-28) + (-680)\/28. Let b = p - -28. Suppose 0 = -b*k - q + 2*q + 316, 0 = 3*k + 5*q - 260. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -473 + 479. Let q be (c\/(-9))\/(1*(-4)\/54). What is the greatest common divisor of q and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j = -49*j + 166. Let y(v) = -v**2 - v**2 + 2*v**3 - v - 2 + 0*v**2. Give y(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16907 and 86404021.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5050 divided by 2525.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2990, -3115, -3456, -4121, -5218, -6855?\n\"Answer: -18*o**3 + o - 2973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/3 and -47\/51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1565 = 3*u + 164. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/3)\/3*-1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(32\/(-12)*(-2)\/4)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/45 and -127\/150?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 37.48383mg?\nAnswer: 0.03748383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*j - s + 50, -44 = 4*j - 4*s. Let u be (-2)\/7 - j\/28. Let v = 0.4 - 3.4. What is the nearest to u in 1, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11470 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 11:30 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 57146351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 8295*n**2 - 13035. Let s(g) = -2*g**2 + 3. Calculate -8690*s(i) - 2*x(i).\nAnswer: 790*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 14, a: 4}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -56*v + 8877. Determine o(157).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 730, 813, 896, 979?\nAnswer: 1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**3 - 7*v**2 + 5*v + 5. Suppose -3*i = 2*y - 11 + 3, 0 = -5*y - 5*i + 15. Let r(d) = d**2 - d - 1. What is y*j(k) + 5*r(k)?\nAnswer: 3*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -2 in ascending order.\nAnswer: -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1439 is divided by 806?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -100?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f\/((f*f*f\/(f*f**(-1\/5)))\/f))\/f)\/(f*f**(1\/2)))\/(f\/f**(2\/7))**28)**(4\/3))**(-3\/2) assuming f is positive.\nAnswer: f**(227\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-5267)\/5496 + 2\/16\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 7 = -3*c. Let l(d) = 2*d**2 + 7*d + 6. What is the units digit of l(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-0.0368\nAnswer: 0.3632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*f - 4*f + 5*f)*(f**2 + 1 - 1) + (f + 0 + 0)*(0*f + 0*f + f**2) to w*f**2 + b + m*f + s*f**3 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 50*o - 534. Determine x(-59).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38\/95 + (-168)\/245. What is the second smallest value in -3, -5, h, -1108?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40.31 + -40. Let v = 49.99 + -49. Let d = v + y. Round d to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 903 (base 16) in base 9?\nAnswer: 3143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/6*(-35 - -5) - 0. Let o be 5\/1*(-246)\/(-5). Let y = o + m. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 19d01e8a?\nAnswer: 19d01e90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*(4 - 4 - 2*f + 3*f + 0*f - f + (-4 - 2 + 4)*(2*f + 4*f - 4*f) - 2*f + 2*f - f - 4*f - 2*f + 7*f - 2*f - 3*f + 7*f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 = 0, 4*p - 5 = -p - 5*k. Let l be (2 - 8\/14)\/(-1 + 285\/210). Put 3, l, -1, p in ascending order.\nAnswer: -1, p, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -34932.\nAnswer: 69864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.4786116 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (17 + -16)\/((-4)\/(-12)). What is t in -t**4 + 0 + 2\/3*t**2 + 0*t - 1\/3*t**p = 0?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (2 + -4) - (8 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 11) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 7:34 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1810*r**2 - 218163*r + 218163*r to the form o*r + d + l*r**2 and give l.\nAnswer: -1810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**6\/30 - p**5\/15 + p**4\/6 + 2*p**3\/3 + 19*p**2 + 3*p. Factor d(o).\nAnswer: -4*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -21*z. Let c(i) be the third derivative of -i**4\/12 + i**2. Give c(y(q)).\nAnswer: 42*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -421132.6209 + 421063. Let f = 69.7 + s. Round f to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -69806103, -69806105, -69806107, -69806109, -69806111?\n\"Answer: -2*o - 69806101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 750330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 3*s = -18 + 6, -4*s - 174 = -13*n - 16*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/7*(-68)\/(-272)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66895, 66933, 66971, 67009, 67047?\nAnswer: 67085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5221370 >= 5221224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 0, 2, 448 in increasing order.\nAnswer: -5, 0, 1, 2, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 4)*(2 - 2*y - 2) - 8*y - 2*y - 2*y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 939 + -1436. Let f = k - -496. Which is the closest to 0.9? (a) -5 (b) f (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2256668 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -58. Let p be (10\/20)\/(2\/h). Let j be 1 - 16\/p - 3. What is the closest to 0 in j, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*x**2 - 5*x**2 - 8 + 26*x**2 in the form c*x + r + o*x**2 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Suppose 2*w - 2*r = w + 1, -20 = -2*w - j*r. Suppose -y - k - 9 = -4*y, 5*k = 2*y + w. Solve 7*m + y*p = 4*m + 8, -4*p = -5*m - 40 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4524)\/24)\/(-29))\/((-4)\/8*1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -700057, -699626, -699195, -698764, -698333, -697902?\n\"Answer: 431*o - 700488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 13*d**2. Let x(n) = -2678*n. Give x(l(h)).\nAnswer: -34814*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 6 - 26 - 11 + 6*a to v + c*a and give v.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475874 is divided by 9978?\nAnswer: 6908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -17*f + 209. Let v be (-1 + 10)*-2 - (-55)\/11. Is r(v) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x + 31*x = 84*x - 483 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2634, 4760, 6838, 8844, 10754?\n\"Answer: -4*h**3 + 2154*h + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + (-49)\/21)\/(2\/(-2658)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 3. Let d be t(-4). Let b be 2 + d + (-3 - -6). Let a be (9\/b)\/((-9)\/(-12)). Do a and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 330 (b) -5 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.401 millilitres in litres?\nAnswer: 0.017401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -8, 0.6, 2488?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09835 - 35.43765. Let g = d + -0.164. What is g rounded to zero decimal places?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 140*p + 10. Let a(x) = 9*x + 1. Let l(c) = -15*a(c) + z(c). Let b(y) = -24*y + 24. Let d be 2 - (-2)\/(-1)*-6. What is d*l(j) + 3*b(j)?\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oeeoeekkiokeoko. Give prob of picking 2 o and 1 e.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1066320 to the nearest ten thousand.\nAnswer: 1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((2*(sqrt(153) - (sqrt(153)*-3 - sqrt(153))) + -6*sqrt(153)*2)\/((sqrt(108)\/sqrt(2))\/sqrt(6)*6*5))**2.\nAnswer: -883\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-12.9.\nAnswer: 154.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 28 = -7*l. Let t = l - 3. Suppose -t*c + 227 = 15. What are the prime factors of c?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b + 255 = 28*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 4*m - m**3 - 5*m.\nAnswer: -m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*t - 61*t + 135*t - 720 = 0 for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9457014 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 58*h - 82. Is 19 a factor of o(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1059003*s - 1058650*s - 5648 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**4 + 5348534*g**3 + 2*g - 1428 - 5348534*g**3 in the form i + u*g**3 + w*g**2 + s*g + l*g**4 and give i.\nAnswer: -1428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1615.\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*o = 7, 4*o + 1 + 4 = -u. Suppose -1923 = -x - 2*t, 3*x - 2*t = -u*t + 5744. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4.878182 grams?\nAnswer: 4878.182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*w + 44. Which is greater: w or 9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (-21)\/9)*-3. Solve -2*j + o = -3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27415 - 0?\nAnswer: -27415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.0728 and -43?\nAnswer: 41.9272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22618920*u**3 + u**2 + 14806011.\nAnswer: -135713520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(44326135 + -1)*-1. Let f = r + -2656753330477\/310282938. Let x = -8556 - f. Calculate the common denominator of x and 83\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -688 - -32337\/47. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 6 - (-12 - -9 - -4). Suppose 4*p = 3*s - 3, -5*p = -2*p - 3*s + 3. Solve p = -x*t + 3*t - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -1\/155397975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*s. Let a(t) be the first derivative of 0*t - 1\/6*t**3 - 1\/12*t**6 + 1\/8*t**4 - 1 + s*t**2 + 1\/10*t**5. Let a(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 25, -2\/3, 1.1, -13, 2, -0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 43 + 5*b + 80.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 41*q**2 + 1. Let h(d) = d**2 - 9*d - 1. Let r be h(9). Let l = r - 0. List the prime factors of w(l).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 2\/7 (c) -3 (d) -6\/2899 (e) 12\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -35, -5, -3, -4 in ascending order.\nAnswer: -35, -5, -4, -3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173 divided by 391?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29\/3*o**2 + 0 + o**3 + 6*o.\nAnswer: o*(o - 9)*(3*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**5\/8 + 45*r**4\/2 - 1227*r**3\/8 - 6705*r**2\/4 - 1500*r = 0.\nAnswer: -5, -1, 0, 16, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(3 + -7) + (1 - 2994). What is m rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -53 - ((-2 - (-6 + 2)) + -4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 0*w - 4*w)*(2 + w - 2) - w**2 - w**2 - 2*w**2 + (-93 - 48*w + 93)*(6*w - 3*w + 0*w) - 2*w**2 + 3*w**2 - 2*w**2.\nAnswer: -150*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*w + 14*w - 123 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 526028860, 1052057723, 1578086588, 2104115455, 2630144324?\nAnswer: 3156173195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1614*t + 1573*t - 410 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1443 = 11*q + 1289. Calculate the smallest common multiple of q and 63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 42*j + 193 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92818 and 67504.\nAnswer: 742544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooohtototogo. Give prob of picking 1 g and 2 t.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1553 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9*j + 3. Let w be r(-3). Let c be 142\/71*3\/2. Solve d + d - 4*m - w = 0, 35 = c*d - 4*m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (-72)\/(-38)) + 1041199996\/38. Round b to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a + 2*a**3)*(0*a + a - 2*a) + a**4 - 2*a**4 + 0*a**4 + 4*a**4 - a**4 - 4*a**4.\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 11*r**2 + 1. Let y be a(-1). Let p = 8 + 4. What is the greatest common factor of p and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33333 (base 5) to base 15.\nAnswer: -a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 2*d**2 - d + 4. Let y be s(-3). Let u = -4 - -6. Let f be 1\/u*0\/(-11). Is f at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 + -0.97. Let y = -0.3 - -0.1. Let s = -4.2 - y. What is the smallest value in j, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 13. Let w(q) = -6*q + 1. Let u(v) = -13*v + 8. Let s(m) = -u(m) + 2*w(m). Give s(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -181. What is the units digit of b\/(-27)*150\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.03447l in millilitres?\nAnswer: 31034.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67257527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3444754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 7. Let r be (-28)\/(-5)*(-70)\/12*3. Let k = r - -118. Calculate the remainder when k is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.304705 to two decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7646481514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -ae?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 0, -143?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27705.624408 minus -0.1?\nAnswer: -27705.524408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from {s: 5, h: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 1. Let v(a) = -14*a - 6. Let j(t) = v(t) + 12*x(t). What is j(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 52*z**4 + 116*z**3 + 220*z**2 + 108*z. Let i(h) be the third derivative of h**7\/70 - 5*h**2 - 9*h. Let g(l) = -16*i(l) + q(l). Factor g(v).\nAnswer: 4*v*(v + 1)**2*(v + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4439400360 to the power of 1\/2, to the nearest integer?\nAnswer: 66629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 7*h**2 - h + 9. Let d be m(7). Suppose -6*u + 5*q + 47 = -2*u, d*u = 5*q + 31. Suppose -u = r + r. What is the closest to 2\/9 in -3, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -14. Let l = -0.05124 + 5.05124. Which is the biggest value? (a) 1\/3 (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*s - 2*s + 3*s)*(2 - 3 + 2) - 17*s - 8*s - 52*s - 6*s + 2*s + 2*s + s - 5*s + 3*s)*(-s + 0*s + 0*s) in the form y*s + z + c*s**2 and give c.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 471*f**2 - 1764*f. Determine n(4).\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z + 14352*z**2 - 8*z - 14354*z**2 + 8*z.\nAnswer: -2*z**2 + 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285*k = -283*k - 134. Let d(j) = 131 - 63 + 10*j - k. What is d(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43153, 172652, 388487, 690658, 1079165, 1554008, 2115187?\nAnswer: 2762702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.81102 to 3 dps.\nAnswer: -0.811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*(-2)\/(-4) + -3. Suppose j + 3*m = 3*j - 291, v*j - m - 426 = 0. Does 47 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.317732g to tonnes.\nAnswer: 0.000008317732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 1. Let o be n\/(-2*(-2)\/(-4)). What is the common denominator of 95\/22 and -1*o\/8 + -1?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 28*a**2 - 251*a - 6313. What is w(-28)?\nAnswer: 715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*p + f - 11, 5*p - 4*f = 0. Let t = p - -8. Suppose -15 = -j - t*j. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*7*(-10)\/(-175)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 314175690?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 249*u. Let x(h) = -h + h - 237492*h**2 + 237489*h**2. Calculate r(x(q)).\nAnswer: -747*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(1573)*-1) + ((sqrt(91) + (-3*sqrt(91) - sqrt(91)))\/sqrt(7))**2.\nAnswer: 12*sqrt(13) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s + 30. Let y(w) = -2*w + 20. Let k(j) = 5*b(j) - 7*y(j). Let i be k(8). Let u be 1\/6 - (-8 + (-259)\/(-42)). Solve -u*f = -3*f - i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3656 = -2*t + 3632. Let m(j) = 4*j + 6. Give m(t).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -4. Suppose m + 11 = -5*o - 14, -5*o + 5*m = -5. What is the third smallest value in 5, u, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1216) + (sqrt(76)\/sqrt(2))\/sqrt(2).\nAnswer: 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 864?\nAnswer: 1\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(90)\/sqrt(2))\/sqrt(9))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 9:29 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1549 = l + 290. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 3*n**2 - 4*n + 2. Let u be 2 + 0\/(-1 + 2). Give c(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1205\/3633 + 2\/1211. Sort 0, c, -0.04 in ascending order.\nAnswer: -0.04, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27 and 242.583.\nAnswer: 269.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*z**5 - 34*z**2 + 7*z**5 - 1 + 2*z**4 + 13*z**5 wrt z.\nAnswer: 840*z**2 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 23*f**2 + 78*f + 10. Give c(26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 14. Suppose i*p = 25, -g + 0 = -4*p + 25. List the prime factors of (140\/g)\/(2*-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1971 (base 13) to base 5.\nAnswer: -110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3838209 millilitres in litres?\nAnswer: 0.0003838209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2662 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*m + 711 + 454 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2 + 189*v - 1176 = 0. What is v?\nAnswer: 7, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407241*b**2 + 3 + 407244*b**2 - 2 + 1 - 5.\nAnswer: 3*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221111 + -2?\nAnswer: -1221120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*x - 3. Find the second derivative of 4*u**x - u**3 - 3*u**3 - u**3 - 5*u wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2211 - 11022122112?\nAnswer: -11022202100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 5. Let w(z) = 2*z - 2 - 4*z**2 + 3*z**2 + 5*z. Let h be w(5). Solve -5*d = -p - h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100100001001100100101100 - -101?\nAnswer: 10100100001001100100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*d - 2700, -11*j - 8034 = -14*j - 7*d. What is the remainder when j is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1699, 3354, 6113, 9976, 14943, 21014?\n\"Answer: 552*n**2 - n + 1148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22994 = 423*n - 3797*n + 211938 for n.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2828*d*k**4 + 420961*d*k**2 + 116*k**4 wrt k.\nAnswer: 67872*d*k + 2784*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 times -83\nAnswer: 99.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 10:17 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 + -79. Suppose -52 = 11*n - m*n. Calculate the remainder when 102 is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 + 4*t - 3. Let g be i(2). Let z = g + 4. Calculate the remainder when 3 + 1\/1*-1 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002120 (base 3) in base 4?\nAnswer: 30132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-1)\/21*1. Let d = -21 + 24.4. Let y = -3.1 + d. What is the second biggest value in -2.2, y, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/4)\/((91\/(-84))\/(-13)). Solve -3*p - n*o = 2*o - 3, 5*p = -2*o - 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86309 is divided by 5338.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 8:25 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8357 - 2938. Let l = p - -4660. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2704?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -161 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7197*f + 4*r = -7192*f - 27, 0 = -25*f + 3*r + 84 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 z when four letters picked without replacement from {z: 2, s: 3, a: 4}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 0 - 1\/12*d**4 - 3*d**2 + 3*d + 5\/3*d**3. Let v be z(10). Let a(o) = o**3 + 7*o**2 + 5*o. Give a(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + 42)*326\/8313.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12768417 and 963?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 608 and 307040?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 7:37 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-1 + sqrt(700))*-6 + -2)*1)**2.\nAnswer: -17280*sqrt(7) + 907776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 68416.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*(-61)\/(-13420)*(-11)\/(-6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 35, -20, 1.\nAnswer: -20, -2, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = c - 55, -5*w + 3*c = 116 - 42. Let k = 13 + w. Let f = 6 + k. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348781000 rounded to the nearest one million?\nAnswer: 1349000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -611438*c**3*n**3 + 8*c**3*n**2 + c**3*n - 2*c**3 - 15*c**2*n**2 - 11*c*n**2 - 2*n**4 wrt n?\nAnswer: -3668628*c**3 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1052908 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.9886 + 0.0114. Which is the second biggest value? (a) -1\/2 (b) 15\/7 (c) z (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*y = -2*y. Let b(t) = -4*t + 6*t - 1 + t**2 + 2 + y*t**2. Determine b(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -23*b + 5. Let x be w(0). Let o be ((-18)\/(-15))\/(6\/(-20)). Put o, x, 23 in decreasing order.\nAnswer: 23, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*3*5\/(-15). Differentiate -t*y - 2*y + 5*y + y - 1 with respect to y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2661038 is divided by 665257?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.12 + 21.02. Sort g, -6\/13, -0.2, 0 in increasing order.\nAnswer: -6\/13, -0.2, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjgjjjgg?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45 + 1044034?\nAnswer: 1044123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten sevenths of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11792 less than -1226523.4?\nAnswer: -1226523.51792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -388 + 430. What is the remainder when 117 is divided by q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from {h: 1, y: 2, b: 1, r: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -872?\nAnswer: -872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7310846678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, b: 2, i: 2, f: 8, s: 1, x: 1}. What is prob of picking 2 i?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-8)\/(-24)*-4*(-27)\/(-36)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**2\/3 + 40*f - 244\/3 = 0.\nAnswer: -122, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 1008*v - 4 + 3 + 1307*v as t*v + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 6*g**2 - 11. Determine j(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b24 - -1?\nAnswer: 3b25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2290325 and 91035.\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 260 + -258. What is the lowest common multiple of 1522 and t?\nAnswer: 1522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 711 and 25425.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/92 and 25\/16?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -17 (b) -795 (c) 5 (d) 0.2 (e) 13\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/(-3)*6375\/9. What is p rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5*i + 2, 3*y + 2*i = 7*i - 4. Let s = -1 - y. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13084*o**6 + 830*o**5 + 15165*o**2 - 2327*o?\nAnswer: -1570080*o**3 + 49800*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 + 5*g**2 + 5 - 2*g**2 - 4*g**2 - g**2 to the form c*g**2 + p + q*g and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6209, 12434, 18677, 24938, 31217, 37514?\n\"Answer: 9*b**2 + 6198*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2328 and 1455.\nAnswer: 11640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 34 + 4)*(3*q**3 - 3*q**3 - 7*q**3).\nAnswer: 154*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 30335399.\nAnswer: 9100619.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -303\/7 + 43. Put -5, 3, h in increasing order.\nAnswer: -5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3388 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84296*y**2 + 0 + 0 + 84299*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258645977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5\/2, -2.56, 0.1, 5\/3, -0.2, -0.01?\nAnswer: -2.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g**3 - g**3 - 4*g + 3*g**3 as t*g + z + f*g**2 + o*g**3 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/427040 and 93\/340.\nAnswer: 427040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 983637 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -117 - -217. Suppose 0 = -p + x - 22. Does 24 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q - 22*f + 14*f + 7*f - 21 = 0, 0 = -5*f + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4537*h - 352 = 4521*h. Solve h*k - 23*k + 9 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1568)\/49)\/1)\/2\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.87 (b) -2 (c) 5 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is c9bb4 (base 16) in base 14?\nAnswer: 1771ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/3*(-9)\/10?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 10504.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11879736.0000028 + 11879702. Let v = -34 - k. What is v rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*p - 18. Let a(t) = 5*t**2 - 4*t + 3. Determine a(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9214321 and -1413933.\nAnswer: 7800388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -66 + 1bd4dd?\nAnswer: 1bd477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316666124 to the power of 1\/2, to the nearest integer?\nAnswer: 36286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x = 64*x + 72*x - 17*x + 6860 for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 34 = 2*q - 46, 40*q + 180 = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 - 34904*o**2 - 304048069*o + 9152882670.\nAnswer: -(o - 30)*(o + 17467)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1049293 and 2317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*b - 26. Suppose 0 = -4*t + 1 + b. Solve -4*g + t = -6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 75 - 5*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 9204038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6\/7, -124.2, 0.5, 2, -1, 0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 36 = -5*l. Suppose -4*k - k - 2*u + l = 0, -5*k + 3*u - 1 = 0. Which is the closest to -2\/7? (a) k (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 - 24104\/131) + 199?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 98\/(-35)*(-15)\/6. Suppose w - 78 = -2*k, -3*k = -s*k + 12. Suppose -w = -5*q + 68. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/(-63) - (-1015)\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**5 + 16 + 0*v - 5\/2*v**2 + 5\/4*v**4 - 5\/3*v**3. Find y, given that u(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 4:43 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 11:32 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 15\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48763 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c + 68. Let l(t) = -5*t - 136. Determine -7*f(a) - 3*l(a).\nAnswer: a - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.09 from -185.\nAnswer: -185.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 762 and 459867.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 1:07 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5984140885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/16 in 0.2, 1\/2, 2\/3, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 47.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 7 = -4*y, v - 5 = -4*v. What is the remainder when 207 is divided by (y - 0)*(3 - 2 - 16)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-15))\/((-2)\/(-8)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.59 + 2.783. Round k to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*s**5 - 5*s**4 + 6604*s**3 - 7*s**2 + 3*s + 1851?\nAnswer: -600*s**2 - 120*s + 39624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 = -0*y. Let j = 0.4 - 0.7. Let l be 4\/(4368\/1162) + 17\/(2431\/(-33)). What is the closest to y in 11, j, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 962402847?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 61126.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18030145 and 10.\nAnswer: -180301450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -4.72. Let l = 20.4 - 18.68. Let z = t + l. Which is the nearest to 0? (a) 0 (b) 5\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(11) + sqrt(121)\/(sqrt(55)\/sqrt(5))) - (-1 + sqrt(2106)\/sqrt(2))**2.\nAnswer: -1054 + 37*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -3 - 0) + 4. Suppose -x*a = 22 - 106. Calculate the highest common factor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*v**2 + 1 + 2*v**2 + 0)*(-4*v + 3*v + 2*v) to the form u + z*v**3 + r*v**2 + o*v and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31110784 is divided by 4444385?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42511781281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-7)\/t**(-2\/15)*t**(-2\/5)*t**(2\/25))**25)**(-49) assuming t is positive.\nAnswer: t**(26411\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 > -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3686*p**3 - 5*p**2 - 46*p + 93. Is 72 a factor of f(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12204 - 13?\nAnswer: 12191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 351727*n**2 + 41*n + 2066 wrt n?\nAnswer: 703454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 2117686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 251*o + 4527. Determine b(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3070498564?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6474 - 10758. Let l be g\/30 + 9\/(-15). Let q = -143 - l. What is the nearest to 2 in -2\/5, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**6\/240 + 101*m**5\/3 - 255025*m**4\/3 - 5702*m**2. Suppose h(w) = 0. Calculate w.\nAnswer: 0, 2020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39051292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**6\/900 + 4*j**5\/25 - 48*j**4\/5 - 4*j**3\/3 - 7*j**2 - 11*j. Let r(c) be the first derivative of b(c). Factor r(k).\nAnswer: -2*(k - 24)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**5\/120 + 5*n**4\/24 - 53*n**3\/6 + 3*n - 4. Let q(l) be the second derivative of f(l). Determine q(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10390?\nAnswer: 2, 5, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + (-26 + (2 - -8) - -14 - 9).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 0.18 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 325452*b + 325456*b + 28, 4*k = -5*b + 64 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**2 + 12*d - 12*d + (-14 - 17 + 11)*(-2*d**2 - 3*d**2 + 0*d**2).\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 78835363\nAnswer: 78835357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(270) - (sqrt(270) - (sqrt(270)*-2 + sqrt(270)))*6 - sqrt(270))\/((-2*sqrt(90))\/sqrt(10)))\/(-2*sqrt(54)*-1*6).\nAnswer: -4 + sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12c38 (base 13) in base 10?\nAnswer: -35030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*j - 1259024 + 20721824. What is j rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3*a = -3, -26*m + 17*a - 61 = -31*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 673451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -26*d**2 - 378*d + 115. Calculate x(-16).\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -59. Let u = i + -14. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6*u = 7*u. Let t = -1125 - -39369\/35. Which is smaller: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7*o + 2*o + 6*o)*(-2 + 2*o + 2) + 2*o**2 - 5*o**2 + 2*o**2)*(0*o**3 - 4*o**3 - o**3).\nAnswer: -5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 795732 and 2490?\nAnswer: 330228780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/10)*f\/((f*f**(-13))\/f) assuming f is positive.\nAnswer: f**(141\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 6 + -7 - 5 - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, c: 2}. Give prob of picking 1 u and 1 c.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 717, 719, 721, 723?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180437*c - 180385*c - 1612 = 0 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -1)\/(5\/(-7185)). Suppose 0 = 8*m - 5*m - x. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8604640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5963835 + 1988012 - 8*a**3 + 1987916 + 1987907 + 10*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496646?\nAnswer: 2, 248323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n**3 - 2*n + 4*n - 6*n - 15*n**3 - 11*n.\nAnswer: 13*n**3 - 15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34223161 divided by 1801219.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 162814 divided by 641\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 837013*q. Let k(f) = -14*f**2 + 1. Give y(k(r)).\nAnswer: -11718182*r**2 + 837013","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4.4. Let k = 0 - 0.1. Which is the second smallest value? (a) h (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.4278 + 50.5736. Let a = u + -52. Round a to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(133) + sqrt(133)*3 + sqrt(133))*2 - sqrt(133) - sqrt(133) - sqrt(133))*-2)\/(sqrt(693)\/(-3*sqrt(11)) + sqrt(63)))**2 + -4.\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435421 = -2*a - 896585. Let z = a + 1863915. Let g = z + -2017912. What is g rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1494, -291, -2\/17 in ascending order.\nAnswer: -1494, -291, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 19*v**3 + 6. Let x(o) = -10*o**3 - 3. Suppose 0 = 3*w + 2 + 1. Let a be w*11\/2*-2. Let m(q) = a*x(q) + 6*k(q). Differentiate m(u) wrt u.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 25689?\nAnswer: -10\/25689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 9*t**2 + 2*t + 11. Suppose -4*c - 6 = -5*l, -3*l = -4*c + 1 - 3. Let q be l\/1*9\/2. What is the units digit of k(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 15. Let v = 79 + -74. What is the remainder when s is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 0*x**4 + 0*x**2 + 1 + 3\/5*x**5 + 0*x**3 + 2*x. What is the derivative of s(q) wrt q?\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -422912.\nAnswer: -169164.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*k**4 - k**4 + 7*k**2 + 3*k**4 - 25*k**2 wrt k.\nAnswer: 144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*r + 2681 - 1301 = 0 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200 + 2?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34174151 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 17*u**2 + 47*u + 27. Calculate h(12).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 5:57 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27358?\nAnswer: 2, 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 4*o + 4. Let q(n) = n**2 - 2*n + 2. Let c(p) = -5*q(p) + 3*x(p). Let w = 0 - 2. Let h(s) = -5 + 9 - 5. Determine w*h(r) - c(r).\nAnswer: -r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - -137. Suppose -5*w + t + 229 = 0. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.7 - 40.7. Let j = p + 51. Which is greater: j or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131122082?\nAnswer: 2, 7, 13, 67, 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 548 divide 1412187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**2 + 2*j - 2. Give u(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 + 4*f**2\/5.\nAnswer: 2*f**2*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 54.88976m?\nAnswer: 54889.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 14)\/((-1)\/(-2)). Suppose 3*q + 11 = -g - g, o = 5*g - 2*q. Let k be g + 2 + 8\/(-2). Solve -5*c = -k*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 times -5?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 493833157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 793*q**2\/2 + 439*q + 139. Is c(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 142 - 10 = 0. Solve 2*o + 3*q = c, 5*o - 13 = 2*q + 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -553*s - 270*s = -3907 + 615. Let 1\/5*h**s + 4\/5*h**3 - 3\/5*h**2 + 8\/5 - 2*h = 0. What is h?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -176, -347, -518, -689, -860, -1031?\n\"Answer: -171*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**2 - 7*c - 17. Give u(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66235150, 66235140, 66235122, 66235096, 66235062?\nAnswer: 66235020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 0)*1.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*z + 4*p - 35 = 42*z, -10 = -z - p. Solve -z*j - 40 = -4*s, -j - s + 6 = s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y. Let x be o(-3). Let h(c) = 2*c**3 - 2*c**2 - 4*c + 5. Let i be h(2). Suppose -3*q - 12 = -i*q. What is the highest common factor of q and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15360544?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 21115 = a, -21095 = 141*m - 146*m - 5*a. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**6*t))**(5\/11)*(t\/(t\/(t\/(t**19*t*t)*t)))\/(t\/(t*t\/t**(6\/7))) assuming t is positive.\nAnswer: t**(-1697\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 274055 (base 13) to base 11.\nAnswer: 59a863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 39*j - 82. Determine u(41).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 618586\nAnswer: 61858.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**3 - 3*j**3 + 6*j - 12*j + 11*j to s*j**2 + w*j**3 + x*j + o and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 8863 = -4*u, -n = 5*u - 3*u - 2941. Let x be (n\/45)\/(37188\/2490). Let p = -1\/1033 - x. Calculate the common denominator of p and -37\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97366?\nAnswer: 2, 89, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2325*m + m**3 - 2325*m.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 365 + -258. Let g = c - 24.5. What is g rounded to 0 decimal places?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 730 by -12.\nAnswer: -365\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**4\/24 - m**3\/6 + m**2. Let x(h) = h**2 - 3*h + 2. Let l be x(3). Let w be 1\/(2*1\/l). Give k(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48.5 + -49. Which is the nearest to 0.1? (a) 2\/7 (b) 1\/6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*f + 1, 5*x + 3*f - 8*f - 5 = 0. Suppose 0 = k + 2*m - 17, 55 = 4*k + x*m - 19. Suppose 1 = -3*p + k. Solve -p - 9 = 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-5))\/((-470)\/(-1175))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14474*y**3 - y - 18044 wrt y?\nAnswer: -43422*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00921 rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 20*y = -37*y - 126. Let l(u) be the third derivative of u**5\/60 - u**4\/12 + u**3\/3 + 18*u**2. Let f(s) = 3*s**2 - 5*s + 3. Give y*f(z) + 5*l(z).\nAnswer: -z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 2.24899088?\nAnswer: 11.2449544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 11) in base 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10020 and 240.\nAnswer: 40080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*t**3 + 41*t**3 + 101*t**3)*(5*t**2 - 2*t**2 - t**2).\nAnswer: 190*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jdxcxdjdjiqcccddqdcx. What is prob of sequence dqq?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 2275203?\nAnswer: -4\/2275203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 3\/8 (b) 0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8244 - 8256.973. Let q = g + 13. Let x = 0.0228 - q. What is x rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2. Suppose 0*c + 4*c - 56 = f. Suppose -34 - 20 = -2*n. Calculate the remainder when n is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - a = 2*w + 2, -2*w - a = -2. Let s = 58.9 - 62. Let n = s - -3. What is the closest to n in 1\/4, -3, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45.05416 + 0.00584. Round w to zero decimal places.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 7076 + 17822. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 327*g + 1938. Give n(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(4\/10)\/((-2)\/(-5)). Let j be (-10)\/(o*12\/18). Solve 0*m - 35 = 4*m - 5*g, m = j*g - 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1584*l - 2283 - 6065 - 2916 = -176*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 289 + -2329\/8. Calculate the common denominator of w and 113\/230.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 236124, 944515, 2125168, 3778083?\nAnswer: 5903260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4290250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - (-7 - -2)) + 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3 + 7672656*j**2 + 15345306*j + 7672652 = 0. Calculate j.\nAnswer: -3836326, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 275600*p**2 + 275601*p.\nAnswer: -p*(p - 1)*(p + 275601)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -6 - (3 - 7) - -82 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-28)*-58 - (-270)\/(-945). Solve b*o + 164 = 49*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23\/270553 or 0?\nAnswer: -23\/270553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -13 + (9 - 40)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-3*m + m + 4*m)*(-1 - 1 + 1 + 1 + 0 + 1 + (6 + 6 - 6)*(2 + 0 + 1) + (3 + 0 - 5)*(6 - 3 - 1)).\nAnswer: 60*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*g - 88, 4*t - g - 124 = 3*g. Let a = t + -25. Let q = -1 - -1. Sort q, a, 4 in descending order.\nAnswer: a, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -225 (c) 1\/2 (d) 1 (e) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 434 + 4 = 4*d, -3*d - 5*y + 309 = 0. Suppose 2*a + 5*p + 321 = 5*a, -3*a - 3*p = -321. Which is greater: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45418518*5.\nAnswer: -227092590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18892 - -18898. Let s(f) = f**2 - 3*f - 12. Determine s(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 4 - 6)*-49. Let u(f) = 111*f - z*f - 53*f. Let a(s) = 4*s**2 - 2*s**2 - 4*s**2. Determine a(u(j)).\nAnswer: -162*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccb. What is prob of sequence cb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 56*x**2 + 55*x + 4. Calculate b(-55).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, -2, -2\/9, -4\/13, -103?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 5 - -6) + (-78 - (-41 + 25 - -15)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31427563?\nAnswer: 167, 188189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 2*a**2 + 0 - a + 2\/3*a**3 + 1\/12*a**4. Let m(q) = 0. What is q?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + 2 + -5 + -6 + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30057 + 30061. Suppose 0 = -5*g - 4*a + 58, -2*g - 5 = 5*a - 18. Solve 12 = v*z, 0 = -2*q - 2*q - 2*z + g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o - 3. Let f be d(-2). Let b be 2\/3 - 110\/(-15). Let u = b + f. Put u, 2, -2 in increasing order.\nAnswer: u, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 * -1.434\nAnswer: 45.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2788 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 0*n + 2*o + 261 = -5*n + 273, 0 = -2*o + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 907*d**2*m**2*u - 732*d**2 + 14*d*u - 3*m**2*u - 2*m*u with respect to m.\nAnswer: 1814*d**2*m*u - 6*m*u - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i - 3. Let n = -158 - -156. Let g be (-9*(-2)\/n)\/(3\/(-3)). Determine x(g).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 1\/160*i**6 - 1\/560*i**7 + 24*i**2 + 0*i**4 + 0*i**3 + 3\/160*i**5 - 3*i + 0. Factor f(y).\nAnswer: -3*y**2*(y - 3)*(y + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32137026, 32137015, 32137006, 32136999, 32136994, 32136991, 32136990?\n\"Answer: t**2 - 14*t + 32137039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63822 = 1855*n + 79*n for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 8322*m**2 + 39020497*m - 39020497*m. Let u(s) = 2*s. Determine u(r(t)).\nAnswer: 16644*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*h = -285 + 69 - 455 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -40*c**7\/7 + 16*c**3\/3 + 33. What is the third derivative of z(t) wrt t?\nAnswer: -4800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t + 8*t - 6*t = -2288. Calculate the greatest common factor of t and 4147.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5293 + 5292.5. Put 2\/21, m, 5.1, -0.04, -3 in increasing order.\nAnswer: -3, m, -0.04, 2\/21, 5.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0263929 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -150*g - 742. Calculate d(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7*z**2 + 14*z - 2. Let u(r) = -30*r**2 + 63*r - 9. Let x(h) = -2*u(h) + 9*y(h). Let j(n) = -15*n**2. Calculate x(j(o)).\nAnswer: -675*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 - 9 = 0. Let m(j) = -g*j + 6*j + j**2 + 0*j - 1 + 3*j + j**3. Calculate m(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30.81 + 31. Let k = -34 + 33.859. Let i = k + t. What is i rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 4\/3*q**3 + 0*q + 0*q**2 - 3 - 3\/4*q**4. Find the third derivative of r(u) wrt u.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2 - 314*v + 3930. Calculate x(-116).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.8 + -15. Let k = -11.2 - q. Let g = 0.08 + 0.22. What is the second smallest value in k, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 2*y + 83708 = -22*z, -5*z - y = -209276. List the prime factors of z.\nAnswer: 5, 11, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 + 4892*o\/3 - 2991458\/3.\nAnswer: -2*(o - 1223)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 34\/5 of a micrometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-18) + 66\/72. Let m(j) be the first derivative of 3\/8*j**2 + 0*j + 7 - o*j**3. Factor m(x).\nAnswer: -x*(x - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/3270 and 47\/5826?\nAnswer: 3175170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -288\/473 + -9\/43. Let z = -3192096\/37 - -86280. Let t = z + -7. Find the common denominator of t and l.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2248748 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6507 + 92. Is t 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 8233761*t*v**2 - 95777*t + 2*v - 3 wrt v?\nAnswer: 16467522*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**5\/4 - 33*i**4\/2 + 660*i**3 - 2901*i**2\/2 - 124605*i\/4 - 29025 = 0. What is i?\nAnswer: -43, -5, -1, 12, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3*b**3 - 2*b)*(-12*b - b + 3*b)*(4*b - 2*b - 3*b).\nAnswer: -30*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**2 + 3*b**2 - 3*b**2)*(b**2 - 9*b**2 + 3*b**2) + (b - b - 2*b)*(-11*b**3 - 12*b**3 + 0*b**3) as j*b**2 + m*b**4 + c*b + x + u*b**3 and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 61 - 9)*(-4*k - 2 + 4 + 0*k).\nAnswer: 376*k - 188","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2 + 1158*c - 4648 = 0 for c.\nAnswer: -1162, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 14 = -4*y - 5*k, 2*y - 3 = 3*k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 + 49*p - 288. Let r be f(12). Solve 4*w + r = 5*n, n = -23*w + 21*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 8 = 4*j. Which is the biggest value? (a) -1\/3 (b) j (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 32243?\nAnswer: -32245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 875209354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from {f: 1, q: 4, c: 5}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p. Let y be (2 - p)\/(2\/5). Let v be 34\/4 - 3\/(-6). Solve y*s + v = -16 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + 4*q - q)*(-2 + 3*q + 2) + (-q**2 + 4*q**2 - 6*q**2)*(3 - 5 + 3) in the form x + m*q + n*q**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13\/15 + -6\/5. Let y be (-18)\/(-4) + 6\/(-12). Let l be (-4)\/14 + y\/(-35). Are l and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/4)*m*m)\/m**(-2\/3))**24*((m*m**(-9)*m)\/(m*m\/m**(-2)))**40 assuming m is positive.\nAnswer: m**(-346)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6921 - 4253. Which is smaller: w or 2667?\nAnswer: 2667","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222067?\nAnswer: 222067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 - 0.6. Let x be (5\/42)\/((-135)\/(-108)). Suppose -5*d - 7 = 2*o + 16, -3*o = d + 15. What is the closest to h in x, 4, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + -22. Let x = w + -30. Which is the second biggest value? (a) x (b) -1\/14 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74234799 and 208818.\nAnswer: 148469598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14053 divided by -23\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqm when three letters picked without replacement from {v: 3, q: 3, y: 1, m: 5, o: 1}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 1. Let w(u) = -6*u + 2. Let l(r) = 2*j(r) - w(r). Let y(n) be the third derivative of -n**4\/24 + 2*n**2. Calculate l(y(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in centuries?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 246979\/12 - 20579. Let i(l) be the second derivative of 14 + 27\/2*l**2 + 2*l + y*l**4 + 0*l**3. Differentiate i(z) with respect to z.\nAnswer: 62*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -456 (base 15) to base 4\nAnswer: -33111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14009?\nAnswer: 14009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/72*4\/6*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 1, -9 in descending order.\nAnswer: 2, 1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25089, -100229, -225413, -400641?\nAnswer: -625913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 192.7 - 193. What is the nearest to -3\/11 in 1\/2, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5*v = 147 - 122, 2*w - 5 = -v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 10.2258583\nAnswer: 1.02258583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 130699.2043 to the nearest 100.\nAnswer: 130700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009 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: Solve 21*y = 490 - 85 + 246 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.116, 2, -2?\nAnswer: 0.116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -10 + 2 - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*o + 3, -4*s + 18 = -0*s - 2*o. Suppose 3*g - s*g - 15 = 0. Let m = -993 - -989. Which is the smallest value? (a) g (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2055)\/4830)\/((-2)\/11). Let u = 175\/46 - b. Calculate the common denominator of u and 1\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -2, -1\/3, 17?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 5*f + 5*f)*(0*f - 2*f + 18*f).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 655*u**6\/2 + 2215*u**3\/3 - 1729. What is the third derivative of f(t) wrt t?\nAnswer: 117900*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 80*i**2 - 2864*i + 17177. What are the prime factors of s(6)?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98 by 49.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/1)\/(4\/(-14)). Let l(r) = 3 - g + 1. Let o(f) = -f**2 - 1. Let m(d) = l(d) - 3*o(d). Let b(z) = -z. What is m(b(u))?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111 and 2257?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**3 + 4*f**2 - 3*f**3 + 366*f + 3 - 364*f. Let k(u) = u**3 - 6*u**2 + 4*u + 2. Let s be k(5). What is the units digit of y(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11529 and 0.06?\nAnswer: -691.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009458455 rounded to five dps?\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.38 + -0.18. What is the nearest to 2\/7 in -2, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1, -5, -1, -149 in increasing order.\nAnswer: -149, -13, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3579892?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 1\/4 (c) 101890.8 (d) 0.5 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. Let r be ((-4)\/(-10))\/(6\/30). Solve r*s + 20 = -k*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1698 divided by 6\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2 = -1. Let q be (8\/52)\/(-1)*1. Let n = q - -3\/104. Which is smaller: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 29*f**3 - 6*f**2 - 6*f. Let q(g) = 1886*g**3 - 391*g**2 - 391*g. Determine -6*q(v) + 391*u(v).\nAnswer: 23*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -747 divided by 83\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2102*n + 2100*n = 674*n - 101377 - 67967 for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 698 - 522. Suppose 1302 = 3*w - 4*o - t, -w + 3*o = -496. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**5\/13 - 42*c**4\/13 - 214*c**3\/13 - 14*c**2\/13 + 888*c\/13 + 56 = 0.\nAnswer: -13, -7, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**7\/5040 - o**5\/15 + 6*o**2. Let u(g) be the third derivative of s(g). Let d(l) = -5*l. What is u(d(f))?\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-1\/6)*p)\/p)\/p**(-2))\/(p**(-26)\/p**(-18)) assuming p is positive.\nAnswer: p**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 3*f**2 - 1 - 2*f**2)*(-3*f + 2*f + 0*f + (7 - 2 - 3)*(0*f + 0*f + 2*f)) + (-f + f - f)*(-3*f**2 - 2*f**2 + 2*f**2).\nAnswer: 12*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1282, 2541, 3800?\nAnswer: 5059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*v + 74*v + 6. Let w(r) = -5*r - 1. Let d be w(1). Are v and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350805099?\nAnswer: 3, 67, 193, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.6, 2\/7 in descending order.\nAnswer: 2\/7, 0, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 306*x**6 - 3*x**2 - 168*x - 17. Let r(m) = 102*m**6 - m**2 - 56*m - 6. Let b(s) = -17*r(s) + 6*w(s). Find the third derivative of b(u) wrt u.\nAnswer: 12240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 29*x**3 - 14*x**2 - 4*x + 5. Let t(f) = 31*f**3 - 13*f**2 - 3*f + 4. Let d(w) = 3*b(w) - 4*t(w). What is the third derivative of d(r) wrt r?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2090, 4367, 10834, 17317, 23822, 30355, 36922, 43529?\n\"Answer: q**3 - q**2 + 6453*q - 8543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200220120 - 122?\nAnswer: 200212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-10)*5\/2. Let u(a) = 5*a**2 - 2*a**2 + k*a - a**2 + 0*a**2. Suppose 0 = -2*w + 19 - 23. Calculate u(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117*p**5 + 22790*p**4 - 17398474*p wrt p?\nAnswer: 2340*p**3 + 273480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/377 in 5, 225, 0.1, 1\/3, -3, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 23) + (98 - (-331 - -264)).\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c = 27. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003748026 to five dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(147))**2 - sqrt(22)\/(4*sqrt(11)).\nAnswer: -sqrt(2)\/4 + 2\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*x**4 + 2*x - 9*x - 11*x + x wrt x?\nAnswer: 228*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 21. Let g be u(-26). Let t(p) = -4*p + 5. Let s(c) = -c + 1. Let f = -1 + 0. Give f*t(l) + g*s(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 57*j. Let x(p) = -4*p**2 - 13*p - 13. Let o(y) = y**2 + 3*y + 3. Let s(c) = -26*o(c) - 6*x(c). What is v(s(w))?\nAnswer: -114*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 8*u**2 + 13*u - 1. Let q be x(6). Which is the second smallest value? (a) q (b) 1\/527 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*g = 19, 4*y - 8 - 8 = -2*g. Let m(d) = d**3 - 2*d**2 - 2*d - 3. Let q be m(y). Let 1\/2*k**3 + q + 0*k + 1\/2*k**2 = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -220, 1.9, -520 in ascending order.\nAnswer: -520, -220, -1, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 549558366 to the power of 1\/2, to the nearest integer?\nAnswer: 23443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10933 is divided by 837.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 5*x = -125, 0 = -2*d + 291*x - 296*x - 65 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 4*d + 7. Let j be g(5). Let x(p) = -4 - p + 3 + 3*p**j - 4 - 5*p. Is x(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-3\/13)*j**(-22)\/j*(j*(j\/j**(2\/5))\/j)**(-31) assuming j is positive.\nAnswer: j**(-2654\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**4\/24 - 4*f**3\/3 + 4*f**2. Let a be q(-8). Suppose 27 = -a*i + 3*i + 3*p, -5*i = -2*p - 80. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 = -4*x - 2*b, -3*x - 2903*b + 2907*b + 58 = -4*x for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - -28) + (-1 - -1) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 9900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3 (b) 3\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/(-30) + 425\/(-102))*(1 + -6).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -0.1. Let g = -84254 - -84229. Sort -0.3, g, m, -2.\nAnswer: g, -2, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/17 - 3404*g\/17 + 1045200\/17 = 0.\nAnswer: 402, 1300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 1:14 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11202 + 3?\nAnswer: -11144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/5 - 416*h**4\/5 - 17934*h**3\/5 = 0.\nAnswer: -147, -61, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33b + 2?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(-20) - ((-11)\/4 - -3). Let j(t) = 1. Let v(g) = 2*g + 3. Let c(d) = d**2 - d + 5. Let p be c(0). Determine n*v(r) + p*j(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*k - 0, 3*k = 2*g - 876. Which is smaller: 433 or g?\nAnswer: 433","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -39, -44, -49, -54, -59?\n\"Answer: -5*c - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -837*l**2 - 838*l**2 + 1678*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-24))\/(6\/(600\/(-35)))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.8 + 2. Let y = 1 + a. Suppose 2*j = 5*r - 2*j + 37, 3*r + j = -12. What is the third biggest value in r, -2\/15, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 18*j - 23. Let t be f(15). Suppose t*x + 3*x - 11975 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -92432974.\nAnswer: 9243297.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 6:44 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 4:08 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-5)\/5*7\/(-4). Let o be (-6 + s)\/(2\/8). Let d = 132 - 127. Sort -5, d, 0.1, o in increasing order.\nAnswer: -5, 0.1, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -307, -299, -287, -271?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/89, 1, -75, -1\/105 in descending order.\nAnswer: 1, 1\/89, -1\/105, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.93 + 15. Let v = x - -0.23. Let m = -9532 + 9531. Which is the smallest value? (a) v (b) -1\/6 (c) -0.3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 2*v**2 + 16*v**2 + 8)*(-1 + 0 + 3) in the form p*v + c + r*v**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (452 - 421 + 323)*(-3*r - r + 5*r).\nAnswer: 354*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 351, 2780, 9365, 22182, 43307, 74816?\n\"Answer: 346*w**3 + 2*w**2 + w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*v)*(87 - 3*v + 12 - 38).\nAnswer: -6*v**2 + 122*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65905 + -65909. Let p be -1*(0 + 1)*-3. Let k be ((-23)\/25 + 1)*5. Sort -9, p, r, k in decreasing order.\nAnswer: p, k, r, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -32002440*w**2. Let n(q) = 43*q**2. Give m(n(s)).\nAnswer: -59172511560*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*-3 + sqrt(63))\/(sqrt(9) - 4*sqrt(18)\/sqrt(2)) + -3.\nAnswer: -3 + 11*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*k - 18*k + r - 5, 3*r - 3 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26819 is divided by 8935.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/(-2) - 82\/164. What is the closest to -2\/3 in 0.1, -28, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*2\/9)\/(1*3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mimmxzizmxmvmxmmmvv. Give prob of picking 1 v and 1 m.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*h + 23. Calculate the remainder when 45 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/5)*u\/(u*u*u*u\/(u\/u**(4\/5))*u)*(u**(-1\/2))**(-32) assuming u is positive.\nAnswer: u**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 5*b - 8104 + 8077 = 0, 0 = -2*c + b + 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 22326648*g + 44653308.\nAnswer: -3*(g - 2)*(g + 7442218)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23237 - -49442. Suppose -5*b + j = -87380. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7*s**2. Let f(a) = a. Let v(k) = -4*k. Let x(d) = -5*f(d) - v(d). Calculate t(x(g)).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.42 - -0.42. What is the smallest value in 5, 0, f, 3\/37?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12504 (base 13) in base 8?\nAnswer: 102014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91565?\nAnswer: 5, 18313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -3. Suppose -f*s + 3 = -7. Let o(d) = 2*d**2 - 2*d - 1. Let v be o(2). Solve s*b = -0*z - z - 9, 3*b + 9 = v*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/30*62\/(-7).\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 5. Let w(q) be the third derivative of 0*q + 0 + 1\/12*q**6 - 7\/15*q**5 - 8\/15*q**f + 4*q**2 + 11\/15*q**4. Determine v, given that w(v) = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -325\/7 + 46. Is -1 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 16*o + 45 = 945 for o.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/11)\/(l*l**(-7\/4)\/l))**(5\/12) assuming l is positive.\nAnswer: l**(115\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25691810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1107 + 1595. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -25)*(-2)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 2*b**3\/3 + 3*b**2\/2 - 2*b - 6. Find i such that u(i) = 0.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 - 90*z + 798. What is n(8)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (22686\/(-171))\/(1\/(-3) + 1). Let m = -195 - q. Solve 0 = 3*i - 4*w + 22, -2*i - m*w + 5*w - 8 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/sqrt(8) + 1 - (sqrt(13) + sqrt(13) + (sqrt(13) - (sqrt(13) - sqrt(13)*-4)) + -4)) + (sqrt(13)*1 + -3 + -3*sqrt(26)\/sqrt(2))*2.\nAnswer: -sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71484 a multiple of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 10:42 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -24. What is the closest to 0.2 in -1\/8, 3, g?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -66 and -65 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5998 + 7280. What is the remainder when p is divided by 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 116101 + 5?\nAnswer: 116106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4699199193 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244.232 days in seconds?\nAnswer: 107501644.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110100 - 1010000100011110?\nAnswer: -1010000001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(4)\/sqrt(2) + 3 + sqrt(12)\/((sqrt(30) + sqrt(30)*1)\/sqrt(5)) + 5)**2*-5.\nAnswer: -1245\/2 + 440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1873 = 5*r - 4*k, -159*k = -4*r - 164*k + 1482. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -12702 (b) 24 (c) 3 (d) 5\/2 (e) -1\/3 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-7)*(-370)\/9250.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -1 (b) -619 (c) 1\/3 (d) 0.17 (e) -1\/5 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**30*r*r**10 assuming r is positive.\nAnswer: r**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*o = -47, m - 5*m + o + 35 = 0. Let y = m + -4. Suppose 247 = 3*x + y*q, -3*x - 2*q = -371 + 132. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = 3*s - 204. Is -396*((s - 17) + 1 + -2) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-9))\/(2\/30). Suppose 3*p - 4*p + 39 = s, l*p - 25 = 0. Let c = -20 + s. What is the highest common divisor of c and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2000553 divided by -42\nAnswer: 666851\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8143, -16282, -24259, -32080, -39751, -47278?\nAnswer: -54667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33390 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*o**3 + 61744*o**2 + 4*o - 60701879 wrt o?\nAnswer: -33*o**2 + 123488*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 5*s = 15. Suppose 6 = -4*b + b + s*t, -5*t = -4*b - 8. Is 4 + b - 5 - -134 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-96)\/(-3)*(-7)\/14. Suppose 2*j = -3*j + 90. Let x = n + j. Solve x*s = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -10*i**3 + 13*i**2 - 2*i + 3. Let b(g) = -21*g**3 + 24*g**2 - 3*g + 5. What is 3*b(z) - 5*w(z)?\nAnswer: -13*z**3 + 7*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-132)\/120)\/((-80)\/(-10) - 9).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) 0.152 (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 1502*o + 37. What is l(0)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 6*p**2 - p - 1. Let j be i(6). Let v = -2 - j. Solve -2*s - v = 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 - 2*q**2 - 2*q. Let k be m(2). Sort k, 0, 3 in ascending order.\nAnswer: 0, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 5*o**2 + 2*o + 4. What is c(3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1394382 and 456654.\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*k - 5*b = 196*k - 97*k - 50, 3*b = 2*k - 15 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109.1 + -109. Which is the third biggest value? (a) 3 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**4\/6 + b - 5. Let i(q) be the first derivative of -4*q**3 - 1. Give z(i(p)).\nAnswer: -288*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 34\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**(-32)\/(((k**(-10)*k)\/k)\/k**(-1\/3)) assuming k is positive.\nAnswer: k**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4)*(-20)\/5. Let x(k) = -k**3 - 2*k**2 - k - 4. Let c be x(-3). Suppose -n = -5*n + c. Solve 2 = -n*m + 3*v, 6*m + d*v = 2*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 234 - 256. Let m be (16\/3)\/(z\/(-33)). What is the closest to -1 in m, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -911, -1825, -2739, -3653?\nAnswer: -4567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddvvzz. What is prob of picking 2 v 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 5858710*d**2 + 6 - 5858712*d**2 + 2.\nAnswer: -2*d**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3297572, 6595127, 9892666, 13190183, 16487672, 19785127, 23082542, 26379911?\nAnswer: 29677228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 - -411024022?\nAnswer: 411024002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9*f. Let o(h) = 3586*h - 44. Let d(u) = 89*u + 150*u - 1 - 2. Let m(k) = 44*d(k) - 3*o(k). Calculate 55*b(g) + 2*m(g).\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 17*h**5\/2 - h**3\/2 + 50*h**2 - 339*h. Differentiate o(m) wrt m.\nAnswer: 510*m**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 166?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 478915452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - j - 7 + 4)*(2 + 2 + 1).\nAnswer: -5*j + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/375 and 88\/225?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -101*c - 50. Let s be f(-4). Let a = 668 - s. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1597959822.\nAnswer: 2, 3, 23, 503453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 18*t**3 + 24)*(0*t + 0*t + t).\nAnswer: 18*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 233 - 234. Let k(z) = z**2 + 1. Let c(p) = p**2 - 4. Calculate r*c(t) - 3*k(t).\nAnswer: -4*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -49 times -584.0451\nAnswer: 28618.2099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50.9071 + 50.9369827. What is l rounded to four dps?\nAnswer: 0.0299","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 152 - 89. Let x = 71 - g. Solve -2*c + 5*c = u + x, 0 = 5*c + 3*u - 32 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, t: 1, i: 2}. Give prob of sequence ii.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 7*w - 215, -2808012*n + 56 = 2*w - 2808009*n for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f = 20*q - 3*f + 4, -q - f = -3*f - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d + 2. Suppose 3*b + 6 = b. Let w be x(b). Let l = w + -7. Sort -3, 2, l.\nAnswer: -3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 39*p + 582 = 231 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**4 + 1 - 5*o**4 + 8108*o**2 + 24*o**3 - 8109*o**2 to the form j*o**2 + q*o + t + w*o**4 + f*o**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1061 is divided by 146?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 261619514 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5498405 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a**(2\/11)\/a)\/a*a))**37)**(5\/3) assuming a is positive.\nAnswer: a**(3700\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15987, -32041, -48111, -64197?\nAnswer: -80299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -16 + 2*l + 12 - 12 - 17. Let a be m(10). Is (-5079)\/(-2) + a\/26 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-54))\/((-8)\/6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 205. What are the prime factors of j?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35942)\/(-4)*230 + (-150)\/(-375)*-15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 9:20 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 12:55 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/18688922 and 163\/25760406?\nAnswer: 953135022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - 4. Let t(k) = -3*k**2 + 5. Let l(z) = -5*q(z) - 4*t(z). Let o = -37 + 224. Let y(d) = -o + 187 + 15*d**2. Determine y(l(c)).\nAnswer: 60*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 5:17 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-4) - -1)\/1. Let p = -701.8 + 702. Sort -0.2, p, h, 4.\nAnswer: h, -0.2, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 460 - -13ab4?\nAnswer: 14244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 0*p**2 - 2*p**2 + 0*p**2. Let n(x) = -x + 2. Let v(q) = q - 5. Let g(b) = -5*n(b) - 2*v(b). Calculate g(a(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*z - 305*z - 15 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 156198984?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5736 from -148.\nAnswer: -148.5736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 3*z**2 + z - 1. Let b be t(3). Let w be -4*b\/(-8)*-6. Find the common denominator of -2\/9 and (-2)\/w - (-321)\/(-99).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20287?\nAnswer: 20287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.959848 weeks to minutes.\nAnswer: 19755.26784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w + 4*w + 3*w**2 + (w - 4*w + 5*w)*(2*w + 0 + 0) + (-1 + 1 - 1)*(-3*w + w + 14*w)*(-2*w - 136 + 72 + 83) as a + p*w + s*w**2 and give s.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/85, -5, 1\/2, -1, -6 in decreasing order.\nAnswer: 1\/2, -6\/85, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 113672 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -3*d**8\/112 + d**7\/70 + 3*d**6\/40 - d**5\/20 - 6*d**2. Determine q so that f(q) = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/12 + (-2)\/6. Let g be (o + (-5)\/(-2))\/3. Let h = 28.83 + -46.83. What is the closest to 2 in -2\/7, h, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.168016 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 18 = 4*q + 39, 2*q = 2*w - 10. Let t(p) = -16*p**3 - 3*p**2 - 12*p + 13. Is t(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22202062937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 482356 and 12?\nAnswer: 1447068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 3*z + 5, 5*d + 12 - 52 = 3*z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.80249181 rounded to one decimal place?\nAnswer: 9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(44) - sqrt(11)) + sqrt(121)\/(sqrt(66)\/sqrt(6) + sqrt(11)))**2.\nAnswer: 275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-56) - (-32)\/14. Let a be (3\/(-3))\/((-2)\/q). Is a at most -1\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - g**2 - 4*g**2)*(-3*g - 4*g + g)*(2 - 7 + 3).\nAnswer: -48*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/h**(-1))\/h)*h)**(-9\/8)*(h*h**0*h)**39)\/(((h**7*h)\/(h\/((h*(h*h**(-7))\/h)\/h)))\/(h*h**(-1))**18) assuming h is positive.\nAnswer: h**(615\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w. Let f be (1\/2)\/((-2)\/12). Let k = f + 6. What is q(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174*0.15.\nAnswer: 26.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -84677307, -84677306, -84677305, -84677304, -84677303, -84677302?\n\"Answer: h - 84677308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005101 to 4 decimal places.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-1*(-3 - -2)). Let d(f) = 5 - 2 + f + o*f. Let v be (-6)\/2 - (3 + -1). What is d(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 3:51 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 786*q + 167. Let t be 24 - (-11)\/((-77)\/(-21)). Is i(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 4*a**2 - 6*a - 2. Let f be c(-5). Suppose f*b + 0*b = 48. What is the least common multiple of 0 + 2 - (-3 - -1) and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-45)\/(-27) + -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.3 + 8. Let f = -72 - -433\/6. What is the fourth smallest value in l, 0.1, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 612354*f*i**2 - 3*f*i - 4147724*f with respect to i.\nAnswer: 1224708*f*i - 3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-88)*12\/(-6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 459 divide 293785783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(17\/68*-54).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 9. Let k(g) = -g**2 + 8*g - 5. Let i be k(q). Solve -34 = -5*n - z - 6, i*n + z - 13 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*g**3 - 270*g**3 - 305*g**3 + 265*g**3.\nAnswer: -619*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329525819.\nAnswer: 7, 47075117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 801 and -257668?\nAnswer: 258469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 15*s**5 + 63310*s**4 + 66760370*s**3 - 89147520*s**2 - 22239385*s + 44563210 = 0?\nAnswer: -2111, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 3*g + 5. Let u be m(5). Let d = u - -7. Factor 5*j**4 - d*j**4 - 7*j**3 - 2*j**3 - 2*j + 9*j**2 - j.\nAnswer: 3*j*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 3*n = -c - 40, -850*n + 4260 = -47*c + 49*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from {b: 2, d: 2, k: 1, v: 1, g: 2, l: 4}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -344, 1, 0.08, -0.5, -2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5261250 and 875.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**4 - 124*s**3 - 2652*s**2 - 5940*s + 44712 = 0.\nAnswer: -9, 3, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95582 = -k + 938751. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 48*u + 389. What is x(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 957637.4t?\nAnswer: 957637400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22272.124 times 1\nAnswer: 22272.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/7))**(-13\/2)\/(s**(-4)\/s**(-2)))\/((((s**(-2\/3)\/s)\/s)\/s**(1\/2))\/(s\/(s\/((s\/((s*s*s**(-2\/5)*s)\/s)*s*s)\/s))*s)**(4\/21)) assuming s is positive.\nAnswer: s**(751\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2 + 4*m - 2. Let u be f(-2). Suppose -18 = -3*b - 3*t, 0 = 3*b - 2*t - u*t + 3. Solve 4*v + b = 19 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 24*j**2 - j + 27. Let a be u(24). Suppose 2*l - 90 = -4*c, 0*l = -4*c + 5*l + 69. Solve -c = 3*d + 3*p, -2*d = a*d + 4*p + 30 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139093, 139085, 139063, 139021, 138953, 138853?\nAnswer: 138715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2832)\/(-25)*75\/(-30))\/(1\/(-50)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -17*z + 112. Give t(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 1\/20*c**5 - 1\/12*c**4 + 5*c + 0*c**2 + 3 - 1\/3*c**3. Factor v(t).\nAnswer: t*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 85*b + 1953. Calculate z(36).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 5. Suppose 1 = 2*v + h - g, 0 = -v - 3*h + 13. Solve -v*k = -6*k + 4, 0 = -4*o + k - 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187433140 a multiple of 820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*((-25)\/(-2))\/5. Suppose -3 = -4*t + a*t. What is the remainder when 5 is divided by 2\/t + (-77)\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(750) + sqrt(750)*5)\/((sqrt(54) + (sqrt(54) - (sqrt(54) + -3*sqrt(864))))\/sqrt(9)).\nAnswer: 30*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwou when four letters picked without replacement from {u: 1, w: 1, o: 1, l: 1, n: 3}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/(-140))\/((-2)\/(-2)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15148 is divided by 345.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3177.21 - -3176.009908. Let r = x + 1.2. What is r rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-154))\/(3448\/288 + -12).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1546 + -514. Suppose 4*m - 4*b - h = 0, 4*b + 1 + 3 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -502*c + 61. Is o(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -142*h - 1230 - 190 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d + 4. Let t be (-1)\/2 - 30\/4. Let m = -13195 - -13200. Let c(n) = -6*n + 6. Determine m*c(u) + t*f(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 1 - 1)*(1 + r**2 + 1 - 1)*(3*r + 0*r - 4*r).\nAnswer: -2*r**5 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -13, 38, -3, -5, 2.\nAnswer: -13, -5, -3, -2, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -111011101111000100 (base 2) to base 6\nAnswer: -5124432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1610 + 76?\nAnswer: -1512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkvxxvvxv. What is prob of picking 1 v and 1 x?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 + 3*i**2 + 3*i - 1. Let q be l(2). Let w(c) = 9*c**3 + c**2 + c - 1. Determine w(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*a - 47 = 183 + 154 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from {n: 8, c: 4, p: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5026*r = 4328*r + 7678 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1295 + 680. Let r = -428 - z. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**2 - 10*t - 5. Let h(i) = 5*i**2 - 12*i - 6. Let w(x) = 5*h(x) - 6*o(x). Let b(d) = 2*d + 9. Give b(w(g)).\nAnswer: 2*g**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(833) + sqrt(833))**2 - sqrt(119)\/sqrt(7)*-5) + 0.\nAnswer: 5*sqrt(17) + 20825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 385 + -295. What is the remainder when 161 is divided by -7 - (-5 - h\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4419 = -567. Differentiate 869 - k + 22*d**4 + 834 with respect to d.\nAnswer: 88*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29347145?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2429 - 2195. Calculate the remainder when k is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5054990177 to the nearest integer?\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -16*y + 131. Let k be l(8). Suppose -r - 5*j - 22 = 0, k*r + j + 2 = -8. Is -2 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -21*g - 1. Let f(t) = 107*t - 14380. Determine -f(n) - 5*x(n).\nAnswer: -2*n + 14385","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((23 - 25)*1\/(-3))\/((-42)\/441). Let n(p) = -p + 1. Let k(v) = -5*v + 2 + v + 1 + 0*v. Determine u*n(j) + 2*k(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -564.4637 to the nearest 10.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 21*o**2 + 8*o + 31. Let j be m(-20). Factor -326*g + 10 - 4*g**2 + 24*g**2 + 25*g**3 + j*g.\nAnswer: 5*(g - 1)*(g + 2)*(5*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4704*p**2 + 1563*p**2 + 1565*p**2 + 1565*p**2.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264 - 264 - 17242213*p**2.\nAnswer: -17242213*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1685*n - 83429 = -5603*n + 55043 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 6983 + 1285. What is the tens digit of 6\/((-36)\/y) + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2589.\nAnswer: 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + c - 54. Let b be y(7). Suppose b = -2*u - 2*x, -u + 4 = -5*x + x. Solve 2*n + 10 = -u*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3667*x + x**2 - 4 + x**2 - 3669*x in the form w*x + v*x**2 + g and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49.1 + 61.1. Which is the closest to -0.1? (a) f (b) 2 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*n**2 + 14*n**4 - 67*n**2 + 10*n - 9*n**4 + 2*n**3 in the form t*n + w*n**4 + d*n**2 + i*n**3 + a and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(833) + -4)*-1)**2 + (sqrt(833) + ((sqrt(833)*4)**2 - sqrt(833)))*2 + -3.\nAnswer: -14*sqrt(17) + 27487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44686?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 80853a (base 14) to base 7\nAnswer: 51524003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.193 - -1.493. Let y = -1717\/9 - -191. What is the fourth biggest value in 0.4, y, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - r**4 - 5*r + 2*r - 16 + r to d*r**4 + z*r**2 + u + b*r + w*r**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 33. Let l(d) = -d - 1. Let j(w) = -2*w - 4. Let m(g) = -2*j(g) + 7*l(g). Let i be m(v). Is i != -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -52b57 - 13?\nAnswer: -52b6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*g**3 - 35*g**3 - 41*g**3 + 121*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 12:57 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -682403 or -682404?\nAnswer: -682404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 2*y**3\/27 - 32*y**2 + 4380. Factor s(l).\nAnswer: 2*l*(l - 288)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-28) + (-3130)\/(-8). Let p = -226 + k. List the prime factors of p.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1136252 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 + 289818*h**2 - 132968535*h.\nAnswer: -3*h*(h - 96145)*(h - 461)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 415715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5.5*-4\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, j: 13}. What is prob of picking 4 a?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*z = -155, 10*s + 4*z = 5*s + 151. Suppose -s + 11 = -n. Calculate the smallest common multiple of n and 36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -1\/2, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13559538, 13559535, 13559532?\nAnswer: 13559529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 51\/(-136) + (111\/168)\/1\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 23233431 (base 5) to base 14\nAnswer: 57245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 4\/9 (c) -4 (d) -9 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 151744580729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56993732633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 7\/5 (b) 0.5 (c) -6.5 (d) -3\/2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -870\/7 - -124. Let y = -0.15 - -2.15. What is the smallest value in y, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 20 = 0, 5*h - 10*a + 11*a = 1460. Solve -47*r - h = -340 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from vpxkzzvxkvkvfvvvvkkx.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*k + 0 + (25 + 9 - 8)*(0 + 0 - 2*k) to p + u*k and give u.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.536 equal to 2594.71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6*(-8 - -2). Let v = 3870 + -3849. What is the remainder when v is divided by 31\/2 + a\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(121)*2 + sqrt(121)) + sqrt(121) + sqrt(121) - (sqrt(121) - (sqrt(121) - sqrt(121)*-3*-2 - sqrt(121))))\/(-1*1*sqrt(539)*-3).\nAnswer: -2*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.3. Let o be (-168)\/63*2\/(-24). Which is the closest to u? (a) 15 (b) o (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 1 - 2 - 1 - 5*n to the form s + v*n and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-63)\/6)\/(3\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f + 4. Let v = 0 + f. Calculate the smallest common multiple of (15\/(-4))\/(6\/(-16)) and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4 + 10 = 0. Suppose -2*f = -0*f - c. What is the least common multiple of (-3)\/(((-1)\/14)\/(1\/f)) and 64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/80)\/((-1913)\/(-107128))?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -441 divided by -21\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + t. Let w(g) = 1561*g**3 + 5*g**2 - 3*g + 27. Let j(y) = -w(y) - 3*z(y). What is the third derivative of j(m) wrt m?\nAnswer: -9366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10222 (base 3) in base 5?\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 8*f + 1. Let s be h(1). Suppose -856 - 440 = -4*p. Suppose -6*a + 51 = n - 2*a, 5*n = 3*a + p. Calculate the highest common factor of n and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -502*k + 376. Calculate q(1).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -26*f - 995. Calculate a(-24).\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 1) + (10 - 4). Let j(s) = -s**3 + 6*s**2 + 3*s - 4. Give j(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 8. Suppose z - 4*p - 75 = p, -4*z + 5*p + 330 = d. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19*1.59\nAnswer: 30.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 212.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1417955\/111 + -12775. Find the common denominator of -149\/12 and l.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 6. Suppose 2*w - 60 = 4*j, 3*j - t - 3 = -w. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from iviiviiviiivvvvi.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3726)\/(-12) - 6 - (-1)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*b - 10*b + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -19669 != -19669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -1. Let q(c) = c - 2. Let j(t) = q(t) - 2*w(t). Let i be j(4). Suppose 0*n = -i*n + 64. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -11 - (-113 + 74)) + -10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 661 divide 44370947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 349 + -140. Let g = r + -205. Solve g*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + 7 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -207527 rounded to the nearest 1000?\nAnswer: -208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 - 45*s**2 - 18*s - 45. Calculate the least common multiple of 28 and k(23).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a1b - 22?\nAnswer: -5a40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 423*p**3 - 2*p**2 - p + 7. Let h be j(6). Let y be (0 - h)\/((-1)\/21). Let l = y + -1217237. What is l rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from koeeveeceje. What is prob of picking 1 j and 1 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (-3*9\/81)\/((-5)\/(-45)). Let f be (17 - 3)\/2 + -3. Solve -20 = -f*z, -d*z + 24 = -8*h + 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155932 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 6*t + 42. Let z be (-40)\/(-80) - t\/4. What is the greatest common factor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a + 4*a - 6*a + (2*a - a + 0*a)*(198 - 383 - 228) in the form v + k*a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 64*r**2 + 7*r - 1. Let j(d) = -13*d**2 - d. Give 11*j(x) + 2*n(x).\nAnswer: -15*x**2 + 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -32. Let s be ((-9)\/5)\/((-1)\/10). Let v be (-1)\/(-5) - s\/z. What is the closest to v in 1, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let i(h) = h**2 + 17*h - 35. Let w be i(2). Let r(u) = 22*u**2 + 2. Let v(f) = 22*f**2 + 1. Let b(x) = w*v(x) - 2*r(x). Give b(q(g)).\nAnswer: 22*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 66 - (2029 + -1962)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/4 of a microgram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9790967249.0528 - -0.3\nAnswer: 9790967249.3528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 1 + 0 + 14 + -2 - -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3311 - 3310.9. What is the nearest to -1\/4 in i, -1089, 5, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 173, 3\/5, 77, 5, -3, 2\/15, 1.2 in descending order.\nAnswer: 173, 77, 5, 1.2, 3\/5, 2\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 3. Let l be (-1 + 0)\/((-2)\/8). Suppose -l*i + 2*i - 12 = 0. Determine o(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 5*m**2 - 7*m - 19. Calculate the smallest common multiple of 102 and o(-5).\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3230727 to two decimal places.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.41474566 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 30*n - 5. Suppose -13*t + 97 + 7 = 0. List the prime factors of j(t).\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*f - 21, -3*p - 4 = -0*p - 2*f. Let i(w) = 389*w - 4. Let n be i(2). Let u = 781 - n. Put p, 3, u, -3 in descending order.\nAnswer: u, 3, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 3:01 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17670?\nAnswer: 2, 3, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 11 + 17 = 5*g, 0 = 5*g - 3*z - 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 363863782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170543 is divided by 6525?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156586311 by 49.\nAnswer: -3195639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1216) + -5 + sqrt(1216))*-3.\nAnswer: -48*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 27605335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5335802 divided by -2.\nAnswer: -2667901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 1. Suppose -5*i + u = 3, 5*u - 3 + 17 = -4*i. Let s = i - -2. Let l be (1\/((-2)\/(-14)))\/s. Let q(m) = -3*m**2 - 2. Determine l*w(x) + 3*q(x).\nAnswer: -2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_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: What is the remainder when 833 is divided by 103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 5. Let f(g) = g**2 + 3*g - 5. Is f(m) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19710 and 13734.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + 0 + -4 + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y - 21. Let v(a) = -5*a + 25. Let b(f) = 6*c(f) + 5*v(f). Let h(d) = d**3 - 8*d**2 - d + 11. Let k be h(8). What is b(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 15 + -1 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -558*r**2 + 1614*r**2 + 6552*r**2.\nAnswer: 7608*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 812140 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, k: 16}. What is prob of picking 2 s?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diddidiixfdfdd. What is prob of picking 1 x and 1 i?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 y, and 1 s when three letters picked without replacement from ssdfdddyyysd?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millimeter in micrometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i**2 + 8*i - 12. Let g(x) = -2*x**2 - 2*x + 1. Let r(u) = -c(u) - 3*g(u). What is r(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 86 - 26. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8161 at least as big as 8167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 5) + 17 + -16 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -20*d - 3*h + 5*h - 63, 4*d + 30 = -24*h + 6*h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/3 - 5*p**4\/3 - 4*p**3\/3 + p**2 = 0. Calculate p.\nAnswer: -1, 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21895?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 8:38 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/8)\/(-6)*24\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w - 5*x = 187 - 42, -29 = -657*w + 658*w + x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 3\/2*c**2 - 24*c + 1 + 1\/3*c**3. Calculate d(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*x + 16104. Suppose -2*f - 2*f = v - x, 487 = f - 3*v. Is 3 + f - 3 - -3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 4. Let q = -1.1 + 4.1. Which is the second biggest value? (a) w (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -280 - -280. Let o = 1019\/51 + -61\/3. Is r >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2744517959 to the nearest integer?\nAnswer: 52388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-6\/5))**32 assuming k is positive.\nAnswer: k**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/13, -6, 2\/119?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 + -1. Let v = -0.254 - -0.294. Let p = 0.34 - v. What is the second smallest value in f, -2\/7, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126446 is divided by 1345.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -214*k + 8564. Calculate w(40).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.172 * -2\nAnswer: 0.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 389, 812, 1217, 1604, 1973, 2324, 2657?\nAnswer: 2972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2 - 4. Let g(w) = -2*w**2 - 4*w - 5. Let s(n) = g(n) - t(n). Suppose -m = i - 3, 0 = 3*m - 7*m - 5*i + 10. What is s(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.341 - 0.3410742. Round j to six dps.\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 + 104*v - 72. Let m(n) = -n. Let l(q) = -d(q) - m(q). Differentiate l(h) wrt h.\nAnswer: -6*h**2 - 103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 4*k + 128, -207*b - 139 = -212*b - 2*k. What is the highest common divisor of b and 2262?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r**1\/r)\/r*r)**23)**(2\/17) assuming r is positive.\nAnswer: r**(46\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 242220 and 397828.\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -85*s**3\/3 + 45*s**2 - 151*s. What is the first derivative of j(k) wrt k?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 1. Let d(k) = 3*k**2 - 2*k + 27. Let z(c) = d(c) - 3*f(c). Suppose -2*w + 8 - 20 = 0. Is z(w) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -156*f**2*x - 624888100*f**2 - 2289*f*x + 357*x wrt x.\nAnswer: -156*f**2 - 2289*f + 357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 2. Let u be m(8). Suppose 0 = v - 4*t - t - 12, 4*t - u = -2*v. Let p(d) = -d**3 + 7*d**2 + 5*d + 3. Is p(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 885602 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 5*f = -3*f. Suppose -2*m - 367 = -3*k, -5*k - 4*m + 793 - 174 = f. What are the prime factors of k?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-6) + (-246)\/(-12)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 313 + -4?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 - (-4 + -9 + 3). Solve 3*s + i*p + 17 = 6*s, -2*s = -p - 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 313*d**2 - 155*d**2 - 163*d**2 - 5*d**2 + d**2 + 3*d**2 + d**2 - 4*d**2 + 4*d**2 + (0*d - d - d)*(1 - d - 1) + d**2 + 0*d**2 + 0*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.059 - 173509425.\nAnswer: -173509424.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6230\/49)\/(9\/(-63)). Which is greater: -888 or g?\nAnswer: -888","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (66 + 195 + 128 - 31)*(-2 + 2 + k**3) to u*k**3 + l*k + q*k**2 + o and give u.\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(104) + sqrt(104) - sqrt(104)) + sqrt(104))*6 - sqrt(104))*-3)\/(-6*sqrt(96)\/(sqrt(12)*2)).\nAnswer: 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 834698\nAnswer: 5\/834698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704517247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-2*-3*6)**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1*u)**(-4\/37))**(-1\/59) assuming u is positive.\nAnswer: u**(8\/2183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6643.57937 + -6639.53. Let z = 0.04897 - o. Let w = z - -4. Round w to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 3*m - 6. Calculate q(5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3959158 < 3959197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8\/39 - -22\/65. Let n = -7 - -22\/3. Put n, d, 2\/5 in descending order.\nAnswer: 2\/5, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + 3 - 2 + 4*l + (2*l + 2*l - 2*l)*(-2 - 1 + 2) + (0 - 2 + 1)*(-12*l - 4*l - 11*l) as o*l + a and give o.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 246492.7 rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 708351, -7, -4, -3 in descending order.\nAnswer: 708351, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*q. Suppose i + 2*i - 315 = 0. Let s = i + -423\/4. Is s at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 + (5 + (-4 - -3 - 4) - (0 + -6))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -33, -59\/10 in increasing order.\nAnswer: -33, -59\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/7, -3, 4\/9 in ascending order.\nAnswer: -3, -1\/7, 4\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 145*f**2 + 0*f**3 + 1989*f**2 - 2*f**3 - 396*f**2 in the form h*f**2 + k*f**3 + u + l*f and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*r - 145 = -2*l, 0 = 3*r + 12. Solve -6 = -4*k + 2*z, -2*k - 3*z + l = 2*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -294812\/9?\nAnswer: -294812\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-58)\/(-667) - (-195819)\/(-138)*(-2 + -2)?\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2 + 22780228*u - 129734696932996 = 0. Calculate u.\nAnswer: 11390114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - q**5 + 14 - q**5)*(-9 - 19 + 9).\nAnswer: 38*q**5 + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, u: 2}. Give prob of picking 1 p and 1 u.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w - 1. Let l be u(1). Suppose v = -l*v + 15. What is the third derivative of -k**2 - 5*k**3 - 2*k**3 + 2*k**5 + 7*k**v wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v**2 - 1. Give o(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 < -744596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + m - 2*m)*(-4 - 5 + 5)*(-2 + 3 + 3)*(4*m - 6 + 6) to the form v*m + q*m**2 + b and give q.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/9 (b) -5572 (c) -1134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29016, 58034, 87052, 116070?\nAnswer: 145088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(5)*-6 - (-3 + sqrt(85)\/sqrt(5)))**2 - (-1*(sqrt(17) - 4*(5 + sqrt(17)))*3)**2.\nAnswer: -1122*sqrt(17) - 4135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n - 6*n + 4*n + (3*n - 3*n + 2*n)*(-1 + 3 - 1) + 2*n - 4 + 4 - 12*n - n - 42*n - 6*n.\nAnswer: -60*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*b = b + 10, 0 = -5*y + 4*b + 16. Let n(w) = 1 + 0*w**2 + 3*w**2 + 4. Let z(u) = -2*u**2 - 4. What is y*n(j) + 5*z(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14658 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31 + -1?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 7:46 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 286 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -2 (c) 5 (d) 1 (e) 32\/19 (f) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 48, 188, 412, 714, 1088, 1528?\n\"Answer: -j**3 + 48*j**2 + 3*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 774981137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3. Suppose 2*n + z = 8. Suppose 4*b + 54 = 3*c, 0 = n*c - b - 2 - 70. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273420 is divided by 132.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -30*v**2 - 223*v\/8 + 17\/4 = 0.\nAnswer: -17\/16, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/5 + 926476*v\/5 - 107294722322\/5 = 0 for v.\nAnswer: 231619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 958662.7 seconds to microseconds.\nAnswer: 958662700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*b - 6. Let y = 31 + b. Let t be ((-22)\/y)\/((-2)\/(-15)). What is the second biggest value in 0.5, t, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 6:20 PM?\nAnswer: 397","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Express o**4 - 109*o**2 - 15*o + 13*o + 6 + 110*o**2 as m*o + s + q*o**4 + j*o**3 + p*o**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 12 = -34. Suppose 4*f - 4 = -2*n, n + 3*n = 2*f - j. Let g be (f - (8 - 4)) + -5. Which is the biggest value? (a) 5 (b) g (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 3*i + 51. Is i at least as big as 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y + 7*y + 10*y)*(0 - 27 - 29) to d + v*y and give v.\nAnswer: -1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -i. Suppose 2*o - 195 = -i*o. Suppose 0*z = 3*z - o. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -161\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 73551336 divided by -4\nAnswer: -18387834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 65553336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 3424?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffff. Give prob of sequence fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 - -70. Solve 3*f - 4*d + 11 = -4, 4*f + t*d = 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/8)\/(x*x**(-5\/6)))\/(x*x**1\/x)**(1\/20) assuming x is positive.\nAnswer: x**(-41\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136 + 116. Let q be (2 - -66) + 24 + h. Calculate the greatest common factor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108.000106 + 108. What is q rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 8. Suppose -k + 4*g = -4*k + 10, 5*k + 5*g = 15. What is the units digit of c\/(-4) - k\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587017565107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.84.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + -19?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3*(5\/35)\/((-1947)\/413)*(-10)\/(-1)\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*v - 88*v - 156*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + a - 20, 0 = -c - 0*c - a + 8. Let h(g) = -4*g - 14. Let y be h(-8). Suppose t + t - y = 0. What is the smallest common multiple of t and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**6\/24 - y**3\/6 + 3*y**2. Find the first derivative of g(f) wrt f.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28309 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 20 = 6*c. Let j be c\/(-3 - 1) - 209. Let u = j - -292. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/19))**(5\/6)*(k**(-12\/7)*k)\/k*k**(-11) assuming k is positive.\nAnswer: k**(-9551\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475183 - 136*y**3 + 475183.\nAnswer: -136*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-1 + (-3 + 2)*-3). Let g be -4 - (-1 - -3)\/(-2). Sort 0, h, g in decreasing order.\nAnswer: 0, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 34140224?\nAnswer: -34140233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = l + 1, -2 = -3*l - 2*a - 0. Suppose -l*k = -2*j - 6, 3*k - 2*j = -4 + 7. Solve k*m = -2*m + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9*n + 7*n + n - n. Calculate s(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -805 - 7*w**2 + 805. Let a(b) = -9*b. Calculate a(l(o)).\nAnswer: 63*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/3 and 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -20\/73, -0.06, 12.\nAnswer: -32, -20\/73, -0.06, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 43 - 13)*(-3*y + 0*y - y)*(5*y - 3*y - 3*y).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3167749778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 10. Suppose h = 4*x - 8. Solve 5*r - 5*y = 0, -x*r + 4 = -y + 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 63 = 6*f - 11*f + 4*f + 9*d, 2*d = 4*f + 18 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzlrlzdlx. Give prob of sequence zxld.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40a252 (base 13) to base 3.\nAnswer: 2211120222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**7\/630 - 7*t**6\/360 + t**5\/30 - 7*t**2 + 1. Factor b(i).\nAnswer: i**2*(i - 6)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3456)*4)\/((sqrt(72)\/sqrt(3))\/sqrt(2) - 2*(sqrt(12) - sqrt(12)*2)).\nAnswer: -32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/7 + (-27)\/(-3) + -4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10352 (base 6) to base 7\nAnswer: 4121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 205130501 - -13?\nAnswer: 205130514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*h + 31 = -12*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3498 and -0.9417322429.\nAnswer: -1.2915322429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*s - 5*q, -4*s + 24 = -3*q - 5. Suppose 921 = s*x + 249. What is the greatest common factor of x and 1092?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*l + 37*l = -3*l - 2943 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 308*n - 13866. Give s(45).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-30))\/(3*((-4147)\/220)\/29).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43838*k**5 + 533*k**3 + 164322632*k**2.\nAnswer: 2630280*k**2 + 3198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 37 = p - 3, 3*l + p - 38 = 0. Let q be 18\/42 + 78\/14. Calculate the highest common factor of l and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45743*p**3 + 2*p**2 - 5*p + 1103177 wrt p?\nAnswer: -137229*p**2 + 4*p - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*(18\/5 - 3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 5*h - 8 = -4*d, -4*d - 10 = 5*h. Suppose d = 3*n - 8*n - 5300. What is n rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 13. Suppose -2 = 9*h - 10*h. Suppose -a = 3*a - h*w - 10, 0 = -3*w - 15. Which is greater: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28749 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.44 * -35.62.\nAnswer: -15.6728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2753 is divided by 916.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -s**4 - 1519*s + 2395079 wrt s?\nAnswer: -4*s**3 - 1519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) -1404 (c) 2\/657\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 16*j + 60. Let a be r(7). Let d(s) = s**3 - 3*s. Give d(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**2 + 208*n - 208*n - 2*n**2 - 2*n**2 + 5*n**2 + 0*n**2 + n**2 + 0*n**2 + (n - 5*n + 2*n)*(n - 3*n + n) - 4*n**2 + 5*n**2 - 3*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 982367161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*q**3 - 24*q**3 + 9*q**3 - 1 + 7 + q in the form m*q**2 + w*q + v + o*q**3 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3033 + 3037. Which is the second smallest value? (a) l (b) -2 (c) 0.5 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 40. Suppose l = 4*j + j. Suppose 0 = 3*q - j*q + 106. What are the prime factors of q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*c**4 - 1 - 95*c**2 + 116*c**4 - 60*c**4 in the form y*c**2 + w + d*c**4 + m*c**3 + b*c and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 101*g - 106*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (2 + -5)\/((-54)\/(-19134)*3\/(-33))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -920 by 92.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**3 - 5*t**2 + 3*t - 1. Let u(w) = 10*w**3 - 7*w**2 + 4*w - 1. Calculate 5*u(p) - 7*y(p).\nAnswer: p**3 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l. Let i(p) = 3503*p. What is i(k(r))?\nAnswer: -14012*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + 16 - -78) + -27 + 3.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*p**4 - 25*p**4 + 35*p**2 + 48*p**4 - 369*p**3 + 372*p**3 to the form y*p**2 + r*p**4 + g*p**3 + m*p + a and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.9 - 3.1. Let m = -3129\/2090 + -3\/1045. Which is the second smallest value? (a) j (b) -3 (c) m (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 11*q - 617. Let h(k) = -27 + q - 3*k**2 - 41. Let x(c) = 2*c. Give x(h(n)).\nAnswer: -6*n**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109664?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3675 - 5118 - 4807 = 250*l. Is l at least 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 8:31 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3 + (-2672050)\/255504. Let m = 4\/81167 + -183626\/432051941. Let n = o + m. Calculate the common denominator of n and -27\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*i + 4*g + 20, 5*g = -25 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 494710738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 + 33 = 5*d - k, -5*d - k = -100. Solve -6*l + d = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 111 = 119. Calculate the remainder when 7 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 2*m - 7. Let b be k(-6). Let x = -18 - b. Suppose -u - 5 + x = 0. What is the greatest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2247630065 to the power of 1\/2, to the nearest integer?\nAnswer: 47409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -242 - 3324511?\nAnswer: -3325153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n + 8*n + n)*(4 - 4 - 5*n) + 2*n**2 + 3*n**2 + 4*n**2 in the form j*n + w*n**2 + g and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 17*j**2 + 16*j - 174. What is the remainder when v(-19) is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 19249*a - 2. Let u(q) = 3795*q**2. What is w(u(j))?\nAnswer: 73049955*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 17 = -4*m, 0*o - 5*m + 20 = 2*o. Suppose h = o*h + 3*s - 919, 2*h = 2*s + 470. Suppose -4*f + 116 = -h. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 253279 to the nearest 1000.\nAnswer: 253000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -662796 divided by 108.\nAnswer: -6137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 7. Let w(j) = -2*j - 14. Give 13*s(i) - 6*w(i).\nAnswer: -i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1143\/7 + 163. Let l be 0\/(1*(-4 + 3 + 0)). Suppose m + 4*d - 1 = 0, 4*m - 2*d + 32 = -l*d. Is m != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 457 + -453. What is the highest common factor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42.4 - 41. Let f = 1 - 2. Let m = l + f. Sort m, -0.3, -2\/5 in decreasing order.\nAnswer: m, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 3, 1, 2 in decreasing order.\nAnswer: 3, 2, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 124*(-2)\/24?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 8*d + 9. Let h be q(6). Suppose -4*z = -2*z - 2. Let s be 4 + -2*(-2)\/(-4). Sort h, z, s in increasing order.\nAnswer: h, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*b**2 + 57*b**3 + 101*b**3 - 58*b**2.\nAnswer: 158*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11979858, -23959707, -35939542, -47919357, -59899146, -71878903?\n\"Answer: b**3 + b**2 - 11979859*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -358673*l - 19009666. What is p(-53)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 + 8*w**5 + w**4)*(-1 + 6 - 30) + (0*w**3 + w**3 + w**3)*(-6*w**2 + 3*w**2 + 2*w**2).\nAnswer: -202*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 0.32423?\nAnswer: 0.02423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 - 0.5. Let x = 0.1 - m. Is 2\/9 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 36. Let s = u + 7. Let l be (4\/(-10))\/(72\/(-20)). Put l, s, 4 in decreasing order.\nAnswer: 4, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000053263 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 4:22 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - g**3 + g**3)*(-3*g**2 - 2*g**2 + 6*g**2) + (6*g**2 - 11*g**2 - 3*g**2)*(g**3 + g**3 - 3*g**3) + 0*g**5 - g**5 - g**5.\nAnswer: 7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*2\/8 - (-3995)\/68.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*t**2 - 3*t**3 - 10*t**2)*(-2 + 4 - 4) + 74*t + 4*t**3 - 74*t in the form g*t**2 + m*t**3 + u*t + i and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000817978 to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + -2 - -4 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-8)\/(-4) + 9. Let q = -20 + j. Let o(b) = -b**3 - 9*b**2 - 9*b - 4. Let l be o(q). Solve 0*n = -4*n + l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-3)\/3))\/(2\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d + 8. Let u be f(-4). Suppose -4*v + u*v - 16 = 0. Find the common denominator of -8\/21 and (-3)\/(27\/(-246)) + v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000110 (base 2) to base 11.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 3*j = 9*j. Suppose j = 3*t - 4*t + 2, 5*t = 2*z - 1210. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73625918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -18 - 1 - (1 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33280\/(-5504) - (-38)\/817. Let n be (2*(-1)\/(-2))\/(-1). What is the nearest to 1\/3 in s, n, 8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 1:40 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/3 - ((-420)\/63)\/(-10). Solve -u = 5*u - l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -m - 4*m, -4*m = 0. What is the second derivative of 0*r + r - 3*r**2 + y*r wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 0 - 5\/2*o**2 - o**3 - 109*o. Let q be 68\/(-18) + (-28)\/126. Let s(r) = -7*r - 6. What is q*s(g) + 5*t(g)?\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(30)\/sqrt(3) - sqrt(10))\/(2*sqrt(720) + sqrt(720) + sqrt(5)).\nAnswer: -3*sqrt(2)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211120120 (base 3) in base 10?\nAnswer: 55824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/5 of a century in decades?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + -3 + 20 + -23.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 312*f + 1908. Let y be u(-5). What is the highest common divisor of y and 841?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5352651114 + 6\nAnswer: 5352651120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2915 greater than 2916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61616651.\nAnswer: 61616651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4 + 22798*x**3 + 130346661*x**2 + 4664525612*x + 8807846948 = 0. Calculate x.\nAnswer: -11381, -34, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79794 = 289*u + 998*u for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3299 rounded to one decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h**2\/4 - 3*h\/4 + 117 = 0?\nAnswer: -13, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 5, 2*i - 285 = -5*o + 6*i. Let x = -33 + o. What are the prime factors of (24\/20)\/(3\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 5:55 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 + 29 + (1 - 116)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*p, k + 56 = -4*p + 65 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/45)\/(8\/(-16)). Let k(z) = -2*z - 5. Let d be k(-3). Which is smaller: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - 33*m - 13. Let p be g(17). Suppose 3*d = 8*d - p*u + 4, 0 = u - 1. Solve 0 = -6*i + 12 - d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.842039ml in litres?\nAnswer: 0.008842039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-42)\/(-15))\/(1\/90). Suppose -3*a + t = -7*a. Let u be 2\/10 + a\/15. Let r(n) = -6*n**2 - 5*n - 2. Let x(l) = l**2 + l + 1. What is u*x(j) - r(j)?\nAnswer: 2*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 + 2*i + 86. Let l be r(-6). Which is the third smallest value? (a) -61 (b) l (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**3 - 4*a**2 + 2*a - 3. Calculate p(3).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 72*p + 144*p + 107*p)*(4*p**2 - p + p) to the form g*p**2 + m*p**3 + j*p + w and give m.\nAnswer: 1292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 414 - 57. Calculate the remainder when o is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2552 = -3853*d + 3855*d. Is -1\/4 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8250.3 at most as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124403?\nAnswer: 31, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*q - 7. Let n be (1 + 4)*q\/(-9). Put -1\/3, 0.1, n in increasing order.\nAnswer: -1\/3, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24440 - 24438. Is -9515 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*h + 2*m - 72, 4*h + 3*m - 139 = 0. Suppose -13 = j - h. Solve -3 = 2*w - 4*p + 13, 4*w - j = -2*p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 808 divided by 101.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*t = -t + 82, -f - 2 = -5*t. Let j be 4\/f - 200\/(-495). Let w = -5.76 - -6.26. Sort w, 0, j in descending order.\nAnswer: w, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*r**2 - 145*r**2 + 90*r**2 + 2*r**2.\nAnswer: -244*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 2:35 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m + 8. Let p be t(-6). Suppose 2*j = -7 + 15. What is the units digit of 2*1\/j*p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - (-5 + 6)) + -4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 142682169?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142 and 1846.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1242\/7 - -177. Put j, 0, -0.7 in ascending order.\nAnswer: -0.7, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 613041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5\/9 + 52*r**4\/9 + 490*r**3\/9 + 2000*r**2\/9 + 1096*r\/3 + 192 = 0.\nAnswer: -9, -8, -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1901979179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 5*l + 1. Let t be n(4). Let f be (-4 - 16)\/5 - t*2798. Round f to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(130)*-1 + (sqrt(130) - (sqrt(130)*1 + sqrt(130)))*-6)\/(sqrt(160) + 3*(sqrt(160) + sqrt(160)*3) - sqrt(160) - sqrt(160)).\nAnswer: 5*sqrt(13)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -44, 58\/15, -0.4, 4\/5, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -11*i**3 + 11*i**2 + 13*i - 12. Is z(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 892.8817 rounded to the nearest ten?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j + 23. Let d be q(7). Let n be (10\/2)\/d - -1. Suppose 10 + 6 = 2*h + 3*f, n = -5*h - 5*f + 30. Solve 2*u = 4*p + u - 15, -h*p + 9 = -u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 0.0768281?\nAnswer: -0.4768281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y. Suppose -135 - 150 = 5*u. Let x = -52 - u. Let o(p) be the third derivative of p**4\/4 - p**3\/6 + 2*p**2. Give x*k(b) - o(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 288b88 (base 12) in base 13?\nAnswer: 1aa119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*n + 1019 = 7*c, 3*n = 9. Is (c\/2)\/((-2)\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = 3*b - 3*i - 26, -2*b - 3*i = -16. Solve -5*n + b*u + 21 = 0, -3*n + 5*u = -0*n - 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.65829 - -0.2.\nAnswer: -31.45829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 - a - 132.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -704 divided by -11?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d + 2 = 0. Let r be (-17)\/d + 1\/2. What is the units digit of 4\/r + 15\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 952167 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2816 and 103776.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2249 - 1570. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**6*d*d*d\/((d**(-8\/3)\/d)\/d))**(-25) assuming d is positive.\nAnswer: d**(-1175\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -4. Let i be 0\/((o - -3)*-1). Suppose -15 = -i*s - 5*s - 5*r, -2*r = 3*s - 8. What is the smallest common multiple of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 72 = x. Suppose 0 = -5*t + 5 + 5. Suppose -t*l - l + x = 0. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 393975.9 months in millennia?\nAnswer: 32.831325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 13 (c) 160 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from caac. Give prob of picking 2 a and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/21365904 and 11\/420?\nAnswer: 106829520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4. Let r(u) be the second derivative of 0 + l*u**2 + 1\/6*u**3 - u. Let i(b) = 2*b**2. What is r(i(a))?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -500, -845, -1224, -1643, -2108, -2625, -3200?\nAnswer: -3839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 16.04. Let k = -0.54 + 0.24. Let i = k + 1.3. Which is the biggest value? (a) i (b) v (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22000 (base 3) to base 6.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -111498.8 rounded to the nearest 1000?\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -25604, 5, 0.3, 1\/2, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/3)*a)\/a**(2\/5))\/((a*a\/((a*(a*a**(-11))\/a)\/a))\/(a**4*a)) assuming a is positive.\nAnswer: a**(-121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367, 369, 373, 379?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/37 or 680?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 488966743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -15*x + 4. Solve 0*y = x*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26463, -52863, -79257, -105639, -132003, -158343, -184653?\n\"Answer: o**3 - 3*o**2 - 26398*o - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33 - 3bd?\nAnswer: -38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o*r*s**2 - o*r*s - 2*o*s**2 - 5*o*s + 2*r*s - 9*r + 101*s**2 wrt s.\nAnswer: -6*o*r - 4*o + 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*531.\nAnswer: -53.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2850*y**2 + 413*y + 9907. Let t(a) = -1425*a**2 - 236*a - 4954. Let d(k) = -7*t(k) - 4*w(k). What is the first derivative of d(b) wrt b?\nAnswer: -2850*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 0 + 25*b + 3\/2*b**4 + 0*b**2 + 4\/3*b**3. Find the second derivative of y(u) wrt u.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -10*k + 359. Suppose -x + k = 90. Find the common denominator of -19\/11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*n*r - 522*n + 268*r + 6 wrt n?\nAnswer: 7*r - 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 509 = -380. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.327*0.244\nAnswer: 0.079788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6007 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: In base 5, what is -4 + 200332400420?\nAnswer: 200332400411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2463323 to the power of 1\/2, to the nearest integer?\nAnswer: 1569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3194 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k. Suppose -4*x + 4 + 4 = 0. What is t(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 10*t**2 + t - 2. Let i be u(10). Let s be (6 + i)*(-18)\/(-4). What is the greatest common factor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*b**3 - 48207091499 - 3*b + 48207091499.\nAnswer: 126*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 + 41 + p - 177 + 11.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-24) + (-4)\/6. Suppose z*y - 5 = -y. Which is the biggest value? (a) -2\/5 (b) y (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.791485 decades to months.\nAnswer: 1054.9782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 6. Let s be h(4). Let j be s\/(11\/((-231)\/6)). Let d(i) = i**3 + 8*i**2 + 8*i + 1. What is d(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 172 or 2248\/13?\nAnswer: 2248\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.14 (b) 3\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-1) - (0\/(-11) - 17). Solve 36 = 4*b + 5*l, 0 = -3*l - l + y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2580\/45)\/(-43))\/(8\/(-42))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b - 3. Let x(p) = p - 1. Let h(l) = 6*l - 7. Let t(n) = h(n) - 3*x(n). Let f(c) = -3*t(c) + 4*y(c). Is f(4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 8:17 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3*v - 21 = 0, 56*f - 61*f + 2*v = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 9 = 4*w. Let i = w + 22. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/8 - 3) + 2\/2.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**4\/4 - l**3 - 3*l**2\/2 - l + 6. Factor k(y).\nAnswer: -(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 11*o**2. Let y(s) = -s**2 - s + 1. Let k(n) = 4*n**2 + 2*n - 2. Let r(l) = k(l) + 2*y(l). What is i(r(p))?\nAnswer: 44*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**3 + 5*r**2 + 2*r + 7. Let b(n) = n**3 + 2*n**2 + n + 3. Give -9*b(a) + 4*m(a).\nAnswer: 3*a**3 + 2*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225160271 by 7.\nAnswer: -32165753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62974139 rounded to two decimal places?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/22 + (-18)\/(-36)*(-16)\/(-44).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3353 is divided by 341?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/(-6))\/(4\/(-6)). Suppose -3*q - h = -23. Let o be 24\/9*q\/4. Solve 2*g + 12 = -v, -o*v + 7 = -5*v - g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.1, 1\/3, -1, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-480))\/(4\/10).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -13*m - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -4. Let v = 5 - 9. What is the lowest common multiple of (v\/(-6))\/(6\/18) and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000011101111010000001 + 11?\nAnswer: 100000011101111010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 4*x - 33. Suppose -2*g + 5 + 1 = -2*n, 16 = -4*g. Let b be w(n). Is -11 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -56746584, 5.\nAnswer: -56746584, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p + 149 + 243 = -73 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31708812847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 2:07 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/80 - (-16)\/10. What is the remainder when 63\/(-14)*p*-4 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w. Let h be m(7). Suppose j = 5*d - h, 5*d - 6 = -j + 13. Suppose -2*l - 3*q + d*q + 23 = 0, q - 13 = -l. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4911431*t**3 - 4643*t**2 - 216 wrt t.\nAnswer: 29468586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -1 + 1 + -1. Let k = 4 - c. Is 0 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -10*g**3 + 99*g**2 + 10*g + 2. Let a(d) = -d**3 + 32*d**2 - 242*d + 34. Let q be a(12). What is f(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06212 rounded to three dps?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/7)*o\/(o*o**(2\/3)*o*o))\/((o\/(o\/o**0))\/o**(2\/3)))\/(((o\/(o\/o**5*o))\/o**4)\/(o*o**(1\/4))**(-1\/9)) assuming o is positive.\nAnswer: o**(-647\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 32, 9, -33.\nAnswer: -33, -6, -2, 9, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -22670*p + 22670*p + p**2. Let h(l) = 940*l**2 + l. Determine t(h(s)).\nAnswer: 883600*s**4 + 1880*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 - 66*t - 506. Give v(-10).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 3*s**2 + 3*s**2 - 2*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5029 - 3589. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1765955?\nAnswer: 5, 19, 29, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1797)\/(-13777))\/(468\/598).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 10) in base 12?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9843876 and 792036?\nAnswer: 68907132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/6072 and 131\/10120?\nAnswer: 30360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.05, -6, -6\/5, 16, -4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, 0.3, -2\/237?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 75, -5, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42\/497111 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.6 + -12. Let l = -0.3 - -5.3. Let q = l + -5.3. What is the biggest value in q, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 19*y**2 + 9*y - 23. Is i(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75103930 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: Let r(t) be the second derivative of -10*t**3\/3 + 24*t. Let z(w) = -2*w. Give r(z(m)).\nAnswer: 40*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 43*k**2 + 3*k + 2. Determine w(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 17*c**2 + 3616*c + 5518. Determine d(-211).\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 7*b + 7. Suppose -2*m = m + 24. List the prime factors of a(m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d. Let b be 2\/3 - (-4)\/(-6). Let z(j) = 0 + 2*j + b - 5*j. Calculate s(z(w)).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-10))\/(-29 - 27\/(-1)).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 10) to base 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200219, -400416, -600613, -800810, -1001007?\nAnswer: -1201204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - 2*c + 3*c)*(2 - 4 + 1)*(-79 - 183 - 53) to r*c + s and give r.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1795?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 188594760 to the power of 1\/3, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 47*p**2 + 8*p - 88. Let o be d(46). Which is smaller: o or 2398?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 495*l + 190. Let h be c(-17). Let q = -1978 - h. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/(5\/(10*-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 105 - 26 - 6*x - 17 - 17.\nAnswer: -6*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/(-10) - ((-48)\/30)\/8. Solve o*s - 3 = 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134507 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2)\/(((-32)\/20)\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-4)*x*x\/((x\/x**(-1\/2))\/x*x)*(x*x**(2\/5)*x*x)**(-1\/66) assuming x is positive.\nAnswer: x**(-421\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25019 is divided by 91.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnddndnnnnnddd. Give prob of sequence nnd.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -137 - 149*o**3 + 200*o**3 - 91*o**3 - 2*o**3 + 0*o**3 + o**3 + (2*o + 1 - 1)*(-1 - 2*o**2 + 1) + 2*o - 2*o + o**3.\nAnswer: -44*o**3 - 137","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*b - 25. Suppose 88 = b*f + 18. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 - 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 17*x**2 + 4*x. Let d(f) = -16*f**2 - 3*f. Give -7*d(o) - 6*u(o).\nAnswer: 10*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*o + 3. Is 1 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -4, 309, 2, 6 in ascending order.\nAnswer: -5, -4, 2, 5, 6, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -4*j + 19. Find the common denominator of (j\/(-8))\/((-6)\/(-94)) and -131\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 5*f**2 + 3. Let t be v(5). Suppose t*l = 4*n + 25208, -3*l + l + n + 16802 = 0. Round l to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + 18*b + 9*b + 26*b in the form d*b + y and give d.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**5\/20 + 7*d**2. Let l(t) = 5*t. Calculate l(j(a)).\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -54049*i**5\/5 + 864782*i**4\/5 + 4053707*i**3\/5 + 5296952*i**2\/5 + 2162156*i\/5 + 16 = 0.\nAnswer: -2, -1, -2\/54049, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 0.03, -2\/17, -1, 2\/3 in ascending order.\nAnswer: -1, -2\/17, 0.03, 0.6, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 52 = 234. Let l = y - -34. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.96 and 328?\nAnswer: -3266.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**2\/r*r)**(-36))**(-9))**4 assuming r is positive.\nAnswer: r**3888","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64174*t = 64109*t + 1300 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -2. Let d(a) = -a**2 + 7*a - 2. Let i be d(6). Suppose -c + 5*o = -5 - 4, 2*c + 24 = -i*o. Is c at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 29453188.\nAnswer: 29453187.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -200704220*h**3 - 151952828*h.\nAnswer: -1204225320*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 + 2*r**4 + 0*r**4 + (3*r**3 + r**3 - 5*r**3)*(2*r - 2*r + 10*r).\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9737889*l**3*r - 315993*l**3 + 7*l**2 wrt r?\nAnswer: 9737889*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*i**5 - 1708*i**4 - 6112*i**3 - 3260*i**2 + 1224*i = 0. Calculate i.\nAnswer: -17, -18\/5, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**3 - 33025*d**2 + 66070*d = 0.\nAnswer: -6607, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/6)*t)\/t*t)\/t)**(-31)*t**(-2\/67)*t**(-4\/9) assuming t is positive.\nAnswer: t**(5659\/1206)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61260*h = -61341*h - 243 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 1. Let z(u) = u**2 + 1. Let q be -1 - (1 - 2) - -1. Let h(b) = q*z(b) + 3*l(b). Find the first derivative of h(s) wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (4 - 5) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134 = -8*k - 94 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 - 1 - (-46 + -31 + 64).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 340443.\nAnswer: 3744873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 5*n**2 + 184319900*n + 368639780 = 0.\nAnswer: -36863978, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.31 - -3.31. Sort g, 13, -5 in ascending order.\nAnswer: -5, g, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/4, 1, -0.1, 85?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -1, 5, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17177 - 9924. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/284508 and 151\/1890.\nAnswer: 4267620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, h: 6, a: 2}. What is prob of picking 2 k and 1 h?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 168\/107, 2\/11, -2\/7, 0.5.\nAnswer: -2\/7, 2\/11, 0.5, 168\/107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 26542*t**2. Let r(p) = 2*p. What is m(r(x))?\nAnswer: 106168*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y**2 - y + 1. Let c(p) = -p**2 + p - 1. Let g(b) = c(b) + v(b). Let r(m) = 2*m. Determine r(g(q)).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, p: 2, q: 1, v: 1}. Give prob of sequence vkq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(21\/(-6))*(-4)\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 14278544.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = 3*g + 8*w, 5*w = -5*g. Suppose -1 + 5 = 4*r, g = -4*l + 4*r + 32. What is the remainder when l is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003842 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*l**3 + 6*l**4 - 2*l**3 - 4*l**3 - 3*l**5 - 3*l**3.\nAnswer: -3*l**3*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**6\/14 - 18*q**5\/35 - 3*q**4\/4 + 6*q**3\/7 + 12*q**2\/7 - 1938. Suppose l(f) = 0. Calculate f.\nAnswer: -4, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -143*l - 16. Let d = -13 - -10. Is v(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = -2*h. Let y = -10 - -11. Suppose -i + 2*l - y = 0, -2*i - 2*l - 1 + 17 = 0. Which is the smallest value? (a) h (b) i (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 638086, 638046, 638006, 637966, 637926, 637886?\n\"Answer: -40*n + 638126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0*k + k - 2)*(-k**2 + 0*k**2 - 26*k**2).\nAnswer: 27*k**3 + 54*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.04888 (b) -0.01 (c) 3\/5 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4\/7 + 83130*u**3\/7 + 575799939*u**2\/7 - 1151849280*u\/7 + 575966208\/7.\nAnswer: 3*(u - 1)**2*(u + 13856)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - n = 3*x, 0 = 2*n - 5*x + 14 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2. Let q(o) = o + 3*o - 4*o - 2*o. Give q(m(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -3*r**2\/2 + 1279*r + 42. Is a(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 35*r - 501. Let c be x(-22). Is c <= -215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 2756451500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(-5*(1 + sqrt(7)))**2.\nAnswer: 50*sqrt(7) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + 63968*v + 97 + 8485*v - 50)*(0 - 2 + 4).\nAnswer: 144906*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -189.221.\nAnswer: 189.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 4*t**2 + 3*t + 1. Let z(u) = u**3 + 5*u**2 + 4*u + 2. Let b(y) = -4*o(y) + 3*z(y). Let w be b(0). Solve g + g = -w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1777111917?\nAnswer: 3, 7, 449, 188473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6084*w - 95062 + 313772 = -61154 for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008477 to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, a: 2, x: 5}. Give prob of sequence ax.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1252192103 to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 184*v**2 + 3164*v + 11760.\nAnswer: -4*(v - 60)*(v + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 0.15, 2, 240?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -3*x**7\/350 - x**6\/50 + x**5\/25 - 229*x**2. Determine p, given that c(p) = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/5 - (-8)\/20. Let f = 0.06 + 0.14. Which is the nearest to 1? (a) o (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 36*x**2 + 40*x - 61. Let l be y(-32). Calculate the highest common factor of l and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, -5, -10, -1\/7.\nAnswer: -10, -5, -4, -1\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Suppose 0 = -h - 2*a - 24, -5*h + 3*a - 82 = -1. Let i = h - -16. Determine g(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (6 - 21) + 40 + (0 + -2 - 44).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-126)\/(-35)*(0 - (-5)\/2). Suppose 8*a + 590 = g*a. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 807723 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -683079530 to the nearest 100000.\nAnswer: -683100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 12:33 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, c: 3, r: 3}. Give prob of sequence cc.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n - 6*n + 4*n + n**2 - 16. Let q be p(-7). Suppose 3*z - 151 = -5*b, 2*b - 54 + 6 = q*z. Calculate the remainder when b is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*x**2 + 2*x - 20*x**3 + 177*x**2.\nAnswer: -20*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -35*i - 327. Calculate n(4).\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 2. Suppose 2 = -f - 2*v, 0*f + 3*v = -5*f + 18. Suppose m + 0*m - 2 = 0. What is the smallest common multiple of x(f) and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/7)*f*f)**(-18\/5))**(-6\/17) assuming f is positive.\nAnswer: f**(1728\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2. Let r(t) = 78 + 10*t + 4*t + 2*t - 31*t + 3*t. Calculate n(r(w)).\nAnswer: -288*w**2 + 3744*w - 12168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/19 + 3\/(-3)*5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**2\/5 + 27*k\/5 - 28\/5 = 0?\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25410)\/598950*(-12)\/14)\/((-12)\/(-5)).\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 23 + 58 - 2 - 16)*(-35*x - 33*x - 5 + 97*x).\nAnswer: 2494*x - 430","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(108) + -2*sqrt(108)*-3))**2.\nAnswer: 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 205*h - 3642. Calculate the remainder when y(20) is divided by 0 - (8\/4 + -79).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 5*g + 13, -4*g + 2 = 5*m - 12. Suppose 2*x + 2*d = -d + 15, -4*d + 22 = 3*x. Let h = x + -2. Calculate the least common multiple of m and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18 + 19)*10\/(-8). What is the fourth biggest value in -2\/21, -0.1, w, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -13\/4 (b) -12 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2942, -1915, -196, 2215, 5318, 9113, 13600?\n\"Answer: 346*h**2 - 11*h - 3277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from {v: 4, y: 1, a: 1, i: 1, p: 6}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261446 = -6*q + 270009 + 684431. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 935801742?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-9555)*(137 - 116).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 20033213332?\nAnswer: -20033213323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o - 288*o + 4020 = 0 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 27*l**2 + 5*l - 10. Let s be t(2). Calculate the highest common factor of 288 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -209 - 246*f - 61 - 54 wrt f.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*y = -1002 + 229, -4*c = -y + 1046. Let b = -1475 + 1215. Which is bigger: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22653005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246917 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 + 2*d + 0 + 0*d + 2 - 3*d. What is the lowest common multiple of l(-2) and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 10*q - 30 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35093*r**2 + 8765*r**2 + 8756*r**2 + 8773*r**2 + 8765*r**2.\nAnswer: -34*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a tonne in kilograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 681778 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -26. Calculate the highest common divisor of i and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -812559885*y**2 - 6*y + 5462635.\nAnswer: -1625119770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-1 + 20\/19). Let c be (22\/6 - 0)*18. Let b = w + c. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1695261996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -257*((-4)\/6)\/(4\/6). Let s = r - 117. Calculate the greatest common divisor of 28 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35657, -35657, -35659, -35663?\n\"Answer: -b**2 + 3*b - 35659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-32)\/56*35\/(-10))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1966b7c + 86?\nAnswer: -1966ac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.18 (b) -3 (c) 1 (d) -0.15 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 252*b**2 + 65*b**2 + 789*b**2 + 186*b**2 - 31*b**2 in the form p*b + y*b**2 + s and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 362428759?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 11836?\nAnswer: 11839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**4 + 12537*v - v**3 + 9202*v + 2*v**3 to f*v + u*v**4 + b + q*v**3 + y*v**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -944*z**5 - 5*z - 41 wrt z?\nAnswer: -18880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -16*r**2 + 2*r - 2471. Calculate d(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -9 - 8) + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -6. Let z be w\/7 - (-24)\/14. Let o = -1 + z. Solve -l - o = -3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 312 = 15*s. What is the greatest common factor of s and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3868327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43173 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -19*p**2 + 13*p + 13. Let j be k(10). Let t = j + 8756\/5. What is the third smallest value in -1\/6, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6087 + -6156. Let g = 0.165 - 74.165. Let z = k - g. Which is the biggest value? (a) z (b) -0.09 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/17? (a) 0.5 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c + c - 3*c)*(6 - 3 + 1)*(-3*c + 0*c + 2*c + (5 - 2 - 5)*(2*c + c + 0*c) + 0*c + 2*c - c + 3*c - 8*c + 0*c) to h + x*c + p*c**2 and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (23\/2)\/((-7)\/(-14)). Suppose 4*m = -20, -4*q - 5*m + l = -8*q. Let o be 55492\/(-3) - 2 - (-8)\/q. Round o to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 6*v**2 - 6*v + 7. Let g be l(-7). Suppose -2*u + g*u + 4 = 0. Find i, given that u*i - 1 + 14*i**2 + 0*i - 12*i - 3 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11*g + 4. Let a(r) = -93*r - 34. Let l(j) = 6*a(j) + 51*d(j). Let o(h) = -1 + 4*h + 1. Calculate l(o(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 1711401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 - -92. Let u be f*16\/(-35) + 4\/28. Sort 9, -4\/7, u in descending order.\nAnswer: 9, u, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2. Let q(f) = -450105134*f. Determine s(q(a)).\nAnswer: 202594631653157956*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18842 - 8949954\/475. Let s = -3\/29963158 - -39319156223\/21348750075. Let n = s + t. Find the common denominator of -17\/30 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 132? (a) -3 (b) -6\/19 (c) -4 (d) 3 (e) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -10*v - 215. Let m be f(-22). Let n be (-6 - (-20)\/m) + 67. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**8\/36960 + r**7\/13860 + r**4\/2 + 6*r. Let c(z) be the third derivative of j(z). Find m such that c(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 304330274?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22647298 divided by -17.\nAnswer: -1332194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -760*b**3 - 4*b**2 + b + 3. Let a be p(-2). Round a to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*u - 5*v, 2*u - 16 = -5*v - 5. What is the least common multiple of 1 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 913*h + 986*h = 2063*h + 1476 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*p**3 - 129*a**2*n**2*p**2 - 6*a*n**2 + n**2*p**2 - 22*p**3 wrt a.\nAnswer: 12*a*p**3 - 258*n**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 205 = 430. What is the smallest common multiple of y and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -4*l + 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9.16 * 0.3\nAnswer: -2.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 210990 a multiple of 722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12430 - -12439. What is the least common multiple of r and (-1)\/(2\/72*-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*n**2 - 357*n**2 - 856*n + 857*n.\nAnswer: -325*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 252 or 254?\nAnswer: 252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*j + 23*j - 14*j - 21*j - 10*j + 2.\nAnswer: -48*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1529*n**4 - 6098*n**3 - 7573*n**2 - 2968*n + 36 = 0. What is n?\nAnswer: -2, -1, 18\/1529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 496 = -2*r. Let a = r + 173. Does 21 divide 13\/(455\/30)*a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z - 2*z + 3*z)*(3 - 5 + 4) + (-3*z - 2*z + z)*(2 - 3 - 2) + (-1 + 1 + z)*(-3 + 3 + 1) + 0*z + 0*z + z to the form d + k*z and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 348*u + 153. Let j be h(-6). Let g = j + 1937. Let s be (-2)\/6 + 2\/6. Solve s*z = z + 2*c - g, 11 = -5*z - 3*c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -184591\nAnswer: 73836.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 226637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 816697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 3*g**2 + 4. Let f be d(3). Suppose -10 - 2 = -3*m. Factor -c**2 - m*c**4 - 2*c**f + 3*c**2 + 4*c**4.\nAnswer: -2*c**2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 times 10.86?\nAnswer: 27.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxp when three letters picked without replacement from akfxbpk?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 10:00 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/33 and -1\/16385842.\nAnswer: 49157526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 4:14 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2209 - 0.1209. Sort t, 40, 6 in descending order.\nAnswer: 40, 6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5333500 + 10?\nAnswer: 5333510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679 is divided by 837.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 2 in descending order.\nAnswer: 5, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + y - 10. Let p = -820 + 823. Let i be v(p). Solve w - 2 + 1 = -m, i*w = 4*m + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) -297 (c) 14 (d) -2\/17 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/3 + 31*l**3\/3 - 253*l**2\/3 + 55*l + 150.\nAnswer: -(l - 15)**2*(l - 2)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4\/7 + 6*s**3\/7 + 9*s**2\/7.\nAnswer: -3*s**2*(s - 3)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*k = -154*k + 18678. Solve -15*r - 9 - k = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3194, -3196, -3198?\n\"Answer: -2*p - 3192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7827 by 2609.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.57371 rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 461024.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 - 36989 + 3*f**2 + 36989 + 7*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2850 + 2850 + 16*f**2 in the form b + z*f + d*f**2 and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6844.525 rounded to the nearest integer?\nAnswer: 6845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.15 (b) 15649\/3 (c) -2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*b - 45*b - 12 = 0. Suppose -b*r + 22 = -2. Suppose -y + 24 = -16*k + 17*k, -4*y + 96 = k. Calculate the highest common factor of y and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1542041 + -5?\nAnswer: -1542046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2\/3, 1018\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12529 is divided by 256.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + 2*sqrt(85)*-6 + sqrt(85))\/(-1*sqrt(20)\/sqrt(4) - sqrt(5)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 2. Let h be k(0). Suppose -h*p + 2*d - 4*d = -8, -p - 2 = -d. List the prime factors of ((-3)\/2)\/(p\/(-4)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 28 + 12 = 0. Let j(o) = -3*o - 4*o + h*o. Let a(s) = -s**2 + 3*s + 3. Let k(x) = x**2 - 4*x - 4. Let z(b) = 4*a(b) + 3*k(b). What is j(z(c))?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -1\/5, 4, -3\/2, 7\/4, -1030?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, l: 2, r: 2, y: 1, j: 1, q: 1}. Give prob of sequence lyml.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7906045, -15812070, -23718095, -31624120, -39530145, -47436170?\n\"Answer: -7906025*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 4:37 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from ddncnxnnnddsnccdxn.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*y + 13 = -3*k, 5*y = -10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b + 10. Let i(k) = -k - 1. Let g(r) = -5*i(r) - t(r). Let d(n) = -4*n + 3. Let o(v) = -11*d(v) - 6*g(v). What is o(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 - (4 - 11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 116, -3016, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4822*d = 4789*d - 495 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3451 - -3451.7. Which is the closest to 1\/7? (a) 2 (b) -0.2 (c) -5 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - -49. Let r be ((-1)\/(-1))\/(-1) + 114. Suppose 32 - r = -w*s. What is the highest common divisor of s and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 2:45 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -2 - (-7 - -1). Let g(u) = -u + 6. Let h be g(4). Suppose 2*s - 2*i = 40, 5*s - h*s - 84 = -o*i. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11580026 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**2 + 12*m**2 - 4 - 4*m**2 + 6 in the form k*m**2 + v*m + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 33*b**4 - 49*b**3 - 38. Let x(v) = 36*v**4 - 49*v**3 + v - 37. Let c(k) = 3*l(k) - 2*x(k). Differentiate c(r) with respect to r.\nAnswer: 108*r**3 - 147*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnlxxxmxlxsxlxxbs. What is prob of sequence sl?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 11129.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*o + 194 + 1012 = 137*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 10) to base 11\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 2:34 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*d + 74 + 170 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.7 + -4.65. Let r = g + -0.05. What is the closest to 1\/5 in -0.2, -4\/9, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-28)\/(-6)*-2 - 1780\/2670?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4670 divided by 5?\nAnswer: -934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 9:38 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + t - 15 = -0*t, -4*l - 5*t + 45 = 0. Solve -8 = -4*q, 0*q + 17 = l*a + q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**9*u**16 assuming u is positive.\nAnswer: u**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 1184050900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n**3 + 6*n**2 + 961*n + 4. Let y(d) = -15*d**3 + 13*d**2 + 1922*d + 9. Determine 13*h(l) - 6*y(l).\nAnswer: -l**3 + 961*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29917*x - 48 = -29914*x + 5*n, 3*x - 24 = 3*n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56760 and 300?\nAnswer: 283800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - 3*i + i)*(-5 + 4 - 1) - 87*i + 6*i - 15*i as j + b*i and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2550056*t**3 - 14476785*t**3 - 6122303*t**3.\nAnswer: -18049032*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(2\/(-6)*81\/90*(-75)\/(-945))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 5 = 3*p - j, -5 = -2*p + j. Let s be ((-6)\/p)\/((-3)\/10). List the prime factors of s\/12 - (-17)\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -877004914, -877004916, -877004918, -877004920, -877004922, -877004924?\nAnswer: -877004926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 335332 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: Calculate -18.6*302618.\nAnswer: -5628694.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 4*x + 0*x)*(-3 + 3 - 2) + (0*x + x - 2*x)*(1 - 3 + 5) + 2*x - 3*x + 4*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121071813 and 4206.\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 9) to base 3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1))**(-3\/31)\/(p**3*p**(3\/4)))**(14\/5))**(6\/29) assuming p is positive.\nAnswer: p**(-9513\/4495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6931968l?\nAnswer: 693.1968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 888*c**2 - 87124*c + 1485432.\nAnswer: 4*(c - 54)*(c - 23)*(c + 299)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 9:30 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9386 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 17*q + 11. Let u = 183 - 201. Calculate k(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 195 = 2*y, 5*y + 0*o = 3*o + 472. Suppose 13*z + y = 14*z. Calculate the remainder when z is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*f + 24, -5*b - 12 = 16*f - 15*f. List the prime factors of (f - (-477)\/2)\/((-12)\/(-32)).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 662107?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -179 + 261. Calculate the remainder when 171 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3536*v + 84874. Calculate k(-24).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 152813041 or 152813040?\nAnswer: 152813041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnhppfhpoppqh. Give prob of picking 1 p, 1 f, 1 o, and 1 h.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - -2*sqrt(76)*2)\/(sqrt(4) + 1*(sqrt(4) - -3*sqrt(4)) + sqrt(4)).\nAnswer: 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 12:24 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 227, 380, 521, 650, 767, 872, 965?\n\"Answer: -6*u**2 + 171*u + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 140 = -5*m + 155, -1 = y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -167053, -167032, -167007, -166978, -166945?\n\"Answer: 2*a**2 + 15*a - 167070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 10 + 2 - 3*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2390\/6510 + (-6)\/84 and 121\/50?\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6117967.99+-84724\nAnswer: -6202691.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -207, -7\/6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 5. Let o = 85 + -79. Suppose 5*f + 24 = 74. Let s(g) = -1 + f - 4 - o. Give j(i) + 3*s(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*j*u**4*x + 18*j*u**3*x + 2*j - 2*u**4*x + u**2 + 75*x wrt u.\nAnswer: -120*j*u*x + 108*j*x - 48*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 488.8865mg in tonnes?\nAnswer: 0.0000004888865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 4*s - 3*s)*(-17608 - 22212 - 5980 + 4132 + 4344 - 1364).\nAnswer: 77376*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-85))\/((-32)\/(-240)))\/(12\/16)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -13*t + 948. Calculate a(73).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 45. Let h = i - -30. Let s = h + 0. Sort 0.1, s, -1.\nAnswer: s, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1347262?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2560355 (base 8) in base 10?\nAnswer: 712941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 1 + (6 + 7 - 7 - 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = v - 0*v. Suppose v*y = -542324 - 3957676. What is y rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 2679.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 625223 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 47050949, 47050947, 47050945, 47050943, 47050941, 47050939?\n\"Answer: -2*z + 47050951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 + (-44)\/(-16). Suppose -a*g - 3*x = -4*g - 4, 3*x - 6 = 0. Let b(m) = -m**3 - 6*m**2 + 10*m + 16. Let w be b(-7). Sort 5, g, w.\nAnswer: w, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -14, 29, 3\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -922681 - -922701.000004. Let r = p + -20. What is r rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2622 and 2277?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4000 and 10.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 100110010101101011?\nAnswer: -100110010101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(4*sqrt(384) + sqrt(384)).\nAnswer: sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2316232 = -53*l - 417878. What are the prime factors of l?\nAnswer: 2, 17909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12983*-2.\nAnswer: -25966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/5*70\/(-21). Let j(b) = -5*b**3 - 8*b**2 + 4*b - 1. Let r(k) = -1 + 15*k**2 + 4 - k + 9*k**3 - 6*k. Let q(l) = -7*j(l) - 4*r(l). Calculate q(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*n + 3. Let v be 2\/1*(-63)\/(-6). Let f = v + -15. Let d(p) = -p**3 - 2*p**2 + 6*p - 6. Let u(m) = -m**3 - 2*m**2 + 7*m - 7. Give f*u(a) + n*d(a).\nAnswer: a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1493 = 103*f - 100*f + r, 4*f - 5*r - 2016 = 0. Suppose -25 = -5*k, -2*b - 2*k + 515 = f. Factor -1 - 3\/4*o**2 + 2*o + 1\/4*o**4 - 1\/2*o**b.\nAnswer: (o - 2)*(o - 1)**2*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, i: 7, z: 2}. Give prob of picking 1 i and 2 q.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5198 divided by -46\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 5:58 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 13. Suppose 0 = -r*u - 9 + 104. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**4\/24 + n**3\/6 + n**2 - 151. Let w(d) = 6. Let q(b) = -4*k(b) - w(b). What is q(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9164*h - 207 + 400 - 193 to the form q + w*h and give w.\nAnswer: -9164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68 - -72) + 12 + (2 - (4 + -4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3 + 48)\/((-65)\/(-20) - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 39. Let o(d) = 5*d**3 - 5*d. Let c(f) = -f. What is z*o(y) + 5*c(y)?\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 105. Let b = 59 + i. Let g = 15 + -11. What is the nearest to 2\/3 in g, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4008029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27a0 + -3?\nAnswer: 2798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35.5 + 23.7. Let y = s + 7.8. What is the closest to -1 in 5, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1360623125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 0 + 5. Let q(h) be the second derivative of 1\/3*h**3 + 0*h**4 + 3*h + 0*h**2 + 1\/21*h**7 - 1\/5*h**l + 0 + 0*h**6. Solve q(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - w + 152 - 111, -2*j + 2*w = 65 + 29 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 12 (c) 0.08 (d) 3\/133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/30)\/((-1)\/(-3)) + -1. What is the units digit of (k + -1)*-1 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6350, 12344, 18336, 24326, 30314, 36300?\n\"Answer: -o**2 + 5997*o + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32120 - -2132330?\nAnswer: 2100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 0*d**4 + 1\/900*d**6 - 1\/450*d**5 + 0*d**3 + 7*d**2 + 0*d + 0. Factor n(c).\nAnswer: 2*c**2*(c - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -2, 3 in increasing order.\nAnswer: -50, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2449947 by 201.\nAnswer: -816649\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p + 176. Let u be k(-41). Calculate the remainder when 122 is divided by (u - 9)\/((-3)\/(-34)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11181 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**4 - 4*t**3 + 15*t. Let h(x) = 2*x**2 + 27*x**3 - 28*x**3 - 2*x**2. Let n(w) = -4*h(w) + r(w). What is the second derivative of n(b) wrt b?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 7. Let h be w(3). Let d = 429\/7 - 61. Factor d*l**h + 2\/7 + 4\/7*l.\nAnswer: 2*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 - x**2 + 208 + 10*x**3 + 5*x - 8*x**3 + 13*x**2 - 3*x**3. Let d be o(17). Sort 36, d, 2 in increasing order.\nAnswer: 2, d, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 501. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.949467 to three decimal places.\nAnswer: 1.949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, i: 3}. Give prob of sequence irr.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703962 is divided by 3706?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -889746.4 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/5 + 519*v\/5 + 4284.\nAnswer: 3*(v + 68)*(v + 105)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -358660, -358719, -358816, -358951, -359124, -359335, -359584?\nAnswer: -359871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2027 + -1631. What is the least common multiple of l and 40?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 72, 0.5, -2, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22441*l**2*u + 18*l**2 - 160*l + u wrt u?\nAnswer: -22441*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 213.3 and 0.032?\nAnswer: 213.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 14, 0, -30, -82?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 832.0726 + -832. Let w = -0.9274 - x. Is w at least 2.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583549 divided by 308?\nAnswer: 583549\/308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*k - 25*k - 18*k)*(41*k**2 + 7 - 27*k**2 - 26*k**2 + 11*k**2 - 255*k).\nAnswer: 17*k**3 + 4335*k**2 - 119*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 24617 + 29593 = 0. Let b be 1\/(-6)*v\/15. Let i = -201 + b. Is 0 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 21*q + 47. Let g be w(-23). Let o be 45\/(-315) - (g + 36\/(-7)). Determine l, given that 0*l**o + l**2 - 2*l**3 + 3\/2*l + 1\/2*l**5 - 1 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-8)\/(-170)))\/(196\/(357504\/570)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3)**(-2\/21)\/(i**(-11)*i*i\/(i\/(i\/((i*i**(-12))\/i))*i)) assuming i is positive.\nAnswer: i**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15661968367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 126 - 130 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 21 = 5*z, -16*t - z - 15 = -17*t for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) -4\/5 (b) -142 (c) 0.3 (d) -20\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43091015 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 440\/19 + (106 - (-240023)\/(-2261))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, -2\/7, 2\/9, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p - 2*p + 4*p as j + h*p and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47.43554 + 47.35. What is i rounded to 3 decimal places?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/(-8))\/(13\/5701540*-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x + 1. Let d be q(-1). Suppose -11 = -3*o + 16. What is the remainder when o is divided by (-7 - (2 - d))*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14320071 to the power of 1\/2, to the nearest integer?\nAnswer: 3784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 6*b - 7. Let u be w(-3). Calculate the greatest common factor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l**2 + 38*l - 11. Let z be i(5). Suppose 3*t + 3*g - 114 = 0, 4*g - 12 - 68 = -2*t. Let m = t - z. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*l**5\/8 + 5751*l**4\/8 + 40803*l**3\/8 - 27603*l**2\/8 - 2217*l - 351\/2 = 0. Calculate l.\nAnswer: -18, -13, -1\/3, -2\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by 29.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjjkkkjxjjjxxjkk. Give prob of picking 1 x and 1 j.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 268697 divided by -20?\nAnswer: -268697\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173243517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 134 = -284. What is the greatest common divisor of 19 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8480464357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12153193 is divided by 9937?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**0)*x)\/(x**(-3)\/x*x))\/(x**(-5)*(x\/x**5)\/x) assuming x is positive.\nAnswer: x**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i + 4*o + 4 = -13*i, -4*o + 4 = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 + 6*n + (10 - 19 - 2)*(4*n - 2*n - n) in the form f*n + k and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - y - 5. Let o(x) = 9*x + 3. Let v(g) = 6*g + 2. Let m(n) = 5*o(n) - 8*v(n). Let r be m(-3). Does 17 divide h(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1323321 (base 4) to base 14.\nAnswer: -2c65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**5 + 7*l**5 + 2*l**5 + (-2*l**4 - 3*l**4 + 3*l**4)*(4*l + l - 3*l) + l**5 + l**5 - 5*l**5 + 5*l**5 + 0*l**5 - l**5.\nAnswer: 11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from {o: 7, f: 1, j: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20 and -37?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10002121 - 22001?\nAnswer: 2210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - 3*y + 4*y)*(-2*y**4 + 3*y**4 - 2*y**4) + 5*y**5 - 2*y**5 - 5*y**5 + 2*y**4 - 3*y**5 - 2*y**4 + (4*y**4 - 4*y**4 - 2*y**4)*(5*y - 2*y - 2*y).\nAnswer: -5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10, -73, -160, -251, -346, -445, -548?\n\"Answer: -2*m**2 - 77*m + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 2:32 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**5\/9 + 62*a**4\/9 + 214*a**3\/9 - 334*a**2\/9 - 212*a\/9 + 272\/9 = 0.\nAnswer: -4, -1, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.03? (a) -5 (b) -3\/7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 7*l**2 - 8*l - 1. Let h be t(-8). Put 8, h, 4 in increasing order.\nAnswer: h, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*c - 1056 - 781, -3*c = -3. Does 35 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from {h: 3, q: 3, s: 1, w: 3, j: 2, z: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a = -10*a. Suppose -3*l = -2*y - 16, 9*l - 4*l + 2*y = a. Solve -3*n - v = -2, n + 3*n = -l*v + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3984787.\nAnswer: 107, 167, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/2256 and 1381112\/(-6154368) + (-6)\/(-22)?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**5\/60 + 3*g**2 + 12. Let l(a) = 90*a. Give o(l(k)).\nAnswer: 8100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/5, 1.3, -4\/5, -1\/847 in ascending order.\nAnswer: -4\/5, -1\/847, 1.3, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 2*i - 4.\nAnswer: 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*n - 3. Let f = 5 - n. Find t such that -4*t**2 + 6*t - 2*t**f + 4*t**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.5 - -0.5. Let p = -14 - -20. Suppose h = 3 - p. Put x, -3\/2, h in ascending order.\nAnswer: h, -3\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 2, i: 1, w: 2, l: 2}. Give prob of picking 1 m and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/(-4))\/((-699)\/932)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + -6*(sqrt(1300) + 2))**2 - ((-1 + (3 + sqrt(1300)*-2 - sqrt(1300)))**2 + 0).\nAnswer: 1560*sqrt(13) + 35243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -364671*w**4 + 66*w - 134364421?\nAnswer: -1458684*w**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 12*a**2. Let s(v) be the third derivative of v**7\/840 - 19*v**4\/24 + 42*v**2. Let o(w) be the second derivative of s(w). Calculate p(o(x)).\nAnswer: 108*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*n = 756, -3*s - 2*n + 2 = -561. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517520 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/9)\/l*l*l)**(-22)*(l*l*l**(2\/9)*l)\/(l**(-1\/2)\/l))**(1\/3) assuming l is positive.\nAnswer: l**(-223\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21344, -85424, -192216, -341714, -533912, -768804, -1046384, -1366646?\nAnswer: -1729584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 12*o + 1. Let j(x) = x. Let v(y) = i(y) - 5*j(y). Let d = 6 + 0. List the prime factors of v(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1083251*n**2 - n - 1026118 wrt n?\nAnswer: 2166502*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, h: 1, q: 6, f: 8, w: 2}. Give prob of picking 1 j, 2 f, and 1 q.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.62155 micrograms in grams?\nAnswer: 0.00005462155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84460421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v - 20 = -2*p, -5*p = 10. Let g = -1 + v. Suppose 5*j = 5 + g. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 964728*y. Let x(l) = l - 23. Give x(s(k)).\nAnswer: 964728*k - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*(-1)\/2 + (-46)\/92. What is the greatest common factor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -549, -1186, -2065, -3186, -4549?\nAnswer: -6154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 19. Suppose 2*w - w = 5*r - 21, -x*r + 37 = 3*w. What is the third derivative of -2*f**2 + 0*f**2 + 8*f**3 + w*f**2 - 2*f**3 wrt f?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3 + 1 = 0, s - 2*o = 4. Suppose 3*r + c = -2*r + 28, -r - 4 = 5*c. Suppose j = r*j - 25. What is the smallest common multiple of s and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 - 2*v**2 + 6*v**2)*(2*v - 2*v**2 - 2*v) + 0*v**4 - 5*v**4 + 4*v**4 - 4 + 4 + v**4 + 12*v**2 + 133 - 55 - 71 - v**4.\nAnswer: -3*v**4 + 12*v**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 589 and 1423.\nAnswer: 838147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.6693 to zero decimal places.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -564750478 < -564750482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 24 - 320 = 0. What is the units digit of z*45\/18*1\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158996 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, h: 5}. What is prob of picking 4 h?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4 + 454*n**3 - 34431*n**2 - 70686*n = 0. Calculate n.\nAnswer: -2, 0, 99, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -285*n. Let c be (3\/(-2) - -2)\/((-23)\/(-46)). Let k(d) = d - 1. Let t(y) = 2*y - 1. Let j(o) = c*t(o) - k(o). Determine j(s(q)).\nAnswer: -285*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -19328243 divided by 1?\nAnswer: -19328243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/4)*u*u*u**(2\/17))**20*(u**(-2\/11)\/(u\/u**(2\/5)))**10 assuming u is positive.\nAnswer: u**(11133\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 3 - 3*l**3 - 3*l - 9*l**2 + 11*l**2 as r*l**2 + x*l**3 + j + d*l and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 22. Let p be x(27). Suppose -5*m - p*i = -55155, -15*m - i - 22050 = -17*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 3*q - 402, 2*g - q - 3*q = 260. Suppose 2*p + g + 22 = 0. Let m = -27 - p. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -3\/2*i**2 + 2*i + 7. Let g(b) = 2*b - 1. Suppose -j - 10 = -3*w + 10, 5 = 2*j + 3*w. Give j*g(f) - 4*c(f).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = k - 1. Suppose 0 = -5*t - 3*d + 71, -t - 63 = -4*t + k*d. Calculate the least common multiple of t and ((-48)\/(-9))\/((-6)\/(-9)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1100) + sqrt(1100)*-1 + -2)*4)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/4588 and 27\/592?\nAnswer: 18352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 212151820 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c - 6258. Let o(s) = -2*s**2. What is l(o(r))?\nAnswer: 12*r**2 - 6258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6249239, -6249238, -6249237?\nAnswer: -6249236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 845660 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*1.67\nAnswer: -0.501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3014614763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2339.77 and -1.\nAnswer: 2339.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*l**2*t + 738*l**2 + 15*l*t + 1354142*t with respect to l.\nAnswer: -6*l*t + 1476*l + 15*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 19 + 11, 5*n + 2*y - 17 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 4*q = 24, -5*w = 321*q + 349*q - 674*q + 24 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22401?\nAnswer: 3, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4599*k**5\/2 + 13799*k**4\/2 - 3*k**3 - 9198*k**2 + 4*k = 0?\nAnswer: -1, 0, 2\/4599, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -j + 4*g, -5*g = j + 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 512*g - 512*g - 151*g**2.\nAnswer: -151*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 9*x + 3. Let o be w(9). Sort o, 2, 1, -3 in descending order.\nAnswer: o, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-4\/15))**15*b**(1\/16)\/b**(-8\/9) assuming b is positive.\nAnswer: b**(1721\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52*w + 0*w**2 - 56*w - 4*w**2 + (w - 3*w + 3*w)*(-2*w - 4*w + 5*w) + 2*w**2 - 5*w**2 + 2*w**2 - 3*w**2 + 3*w**2 + w**2.\nAnswer: -5*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 11*g + 6. Let b be c(-11). Let s(a) = -6*a + 3451 - 1722 - 1725. What is s(b)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100490333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 14*z + 17. Let q(g) = -18*g - 16. What is -5*h(k) - 4*q(k)?\nAnswer: 2*k - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 317*b**2 - 17107*b - 1221. What is z(248)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 766*g + 231339 = 770*g, -5*g - 46262 = -l. What are the prime factors of l?\nAnswer: 13, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 6*a - 3. Calculate g(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + k - 1. Let o be c(0). Let j be (o\/(-3))\/((-1)\/(-6)). Suppose -116 = -2*t - j*t. What are the prime factors of t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u - 115 = 97 - 192 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**4\/12 + o**3 - 3*o**2\/2 + 2*o. Let w be s(5). Factor 10*h**2 + 5*h + w - 2*h**2 - 15*h.\nAnswer: 2*(h - 1)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1\/2, -2\/7, 0.41, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 2810\nAnswer: 1\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.90327ug in grams?\nAnswer: 0.00006890327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -70*u - 55*u + 178*u - 53*u + u**2. Let p(i) = 140*i**2 - 3. Calculate p(z(v)).\nAnswer: 140*v**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide (-428)\/(-749) + (-228678)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -433, -437, -441, -445, -449, -453?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 636078757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**5\/4 - 6261*x**4\/4 + 3274457*x**3 - 2304936396*x**2 + 33732822168*x + 76711610628 = 0?\nAnswer: -2, 17, 2082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 0 + 3 + -2. Let x(g) = g + g**u - 3*g + 0*g**2. Is x(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, e: 1, v: 2, t: 2, j: 1}. What is prob of sequence mjt?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 10:44 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.30199 rounded to one decimal place?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -18. Do 6\/11 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*q**3*s*v - 9913706*q**3*v - q**2*s*v - 139*q**2*v + 31703*q*s*v - 2*v wrt q.\nAnswer: -36*s*v - 59482236*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 5*n - 4. Let l be a(3). Suppose 0 = l*r + 3*r - 20. Sort 1, 0, r in ascending order.\nAnswer: 0, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13104 and 15667470.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.1365 millennia in years?\nAnswer: 136136.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.46149 to one decimal place.\nAnswer: 62.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359, 1614, 3705, 6632, 10395?\nAnswer: 14994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -34, -17, -2, 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 800.14l in millilitres?\nAnswer: 800140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 3*u**3 - 32*u + 156*u**4 - 35*u + 66*u - 157*u**4 - u**2 to g*u + m*u**2 + b + i*u**4 + r*u**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**3 + 49*f**2 + 776*f. Let r(x) = -5*x**3 + 98*x**2 + 1551*x. Let d(v) = -11*n(v) + 6*r(v). Find the second derivative of d(o) wrt o.\nAnswer: 18*o + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-one fifths of a decade?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33873.9999972098 + 33874. Round i to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**6\/60 + w**4\/3 - 2*w**2. Let a(g) = g**3 - 5*g. Let p be (141\/(-15) - -13)*-2 + (-8)\/10. Give p*a(m) - 5*q(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27347*k*n*r**2 - 7*k*n*r - 2*k*r**3 + 8*k*r - n*r + 12*n + 1 wrt r?\nAnswer: -54694*k*n - 12*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 r when four letters picked without replacement from {x: 9, r: 7}?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 157 = -472. What is the greatest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -1\/13, 0.3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10073 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2 + 268996*p - 9044856002 = 0 for p.\nAnswer: 67249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 4*j**2 - 2*j - 6. Let i be r(5). Calculate the greatest common divisor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n - n)*(0*n**2 - 4*n**4 - n**4 + 2*n**2).\nAnswer: 20*n**5 - 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57698.549983 - 57698.3. Let r = 0.25 - v. What is r rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(1\/30))\/o**29)**7)**(1\/66) assuming o is positive.\nAnswer: o**(-5887\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + (-5 + -4 + -5 + (sqrt(304) - (sqrt(304) - (-2 + sqrt(304)))))**2).\nAnswer: -2820 + 640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 609560593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -8)*2\/3. Let w(o) = -2*o**3 + 2*o**2 - o - 3. Let j be w(-1). Let g(v) = -26*v + 26*v + x*v**j. Let s(k) = -k**2. What is s(g(z))?\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 4.6. Let u = 3561 + -3557. What is the nearest to 1 in -3, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (212*t - 218*t + 172*t)*(3*t**4 - t**4 + 0*t**4)*(2 + 0 - 3).\nAnswer: -332*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -406800 to the nearest 10000.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6107 + 7674. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 5*d - 35, -w + 5*d - 28 = w. Let l(f) = -7445*f - 5. Let q be l(w). Round q to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - 0.2. Let n = 14.23 - 9.23. What is the fourth biggest value in -1\/7, 2\/9, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/(141\/1692).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47848 take away -2.7?\nAnswer: 47850.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9860500 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-16*t**2 - 3*t**2 + 7*t**2).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2358.5 - -3236. What is k rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10*((-79)\/(-10) + -8). Let p(n) = 4*n**3 - 2*n**2 - 3*n + 4. Calculate the remainder when 4 is divided by p(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81.64 - 94.9. Round y to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + -24 + 42 + 47?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 577084559*q. Let f(t) = 3*t. Give f(m(p)).\nAnswer: 1731253677*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 6 = 3*p - a, a = 4*p - 21. Let z(l) = l**2 - 5*l - 1. Let v be z(p). Put 14, -3, v in decreasing order.\nAnswer: 14, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(19) + -3*sqrt(19)*1 + sqrt(19) + 2 + -3)**2 + -2.\nAnswer: 2*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 80 - 80)*((2*p + 2 - 2)*((1 - 1 - 6)*(2 + 2 - 1) + 4 - 6 + 4) + p + 4*p + 4*p).\nAnswer: -46*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.04, -1\/5, 13, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*v - 71 = 0, 4910*f - 16 = 4911*f + 4*v. Let o = -19 - -31. What is the greatest common divisor of f and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101011111111 (base 2) in base 8?\nAnswer: 5377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1041*b + 8367. Determine d(8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0 = -3. Suppose -t + s + 10 = 0. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + (208\/4 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 19848*r + 32828592.\nAnswer: 3*(r + 3308)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1550 and 1779205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -522 + 622. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.03133 millimeters to micrometers.\nAnswer: 97031.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 8, -h - 27*a + 24*a = -10. What is the remainder when 108 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -980, -1215, -1606, -2147, -2832, -3655, -4610, -5691?\nAnswer: -6892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 41323 + 43582 - 84905.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 50*u**2 - 1. Let m be j(4). Suppose 7185 = -6*l + 27*l - 2517. Let c = l + m. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**2 + 11*v**2 + 9*v**2 - 2*v**2 + 5*v**2. Let f(y) = -19*y**2. Determine c(f(u)).\nAnswer: 6498*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mem when three letters picked without replacement from jjmmhjehe?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 308139282?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, p: 1, w: 2, l: 2, y: 1, e: 1}. Give prob of sequence ve.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.3797 rounded to 1 decimal place?\nAnswer: 20.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 5*a + a)*(-15*a**2 + 15*a**2 + 2*a**4) + (2*a**5 - 2*a**5 + 2*a**5)*(2 + 1 - 1) + 3*a**3 - 3*a**3 + a**5 + 6 + 5*a**5 - 6.\nAnswer: -2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 435 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5810)\/(-4067) + 12\/(-20)*2090\/(-14).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -647 + -402. Let c = b - -25181\/24. Find the common denominator of 65\/(-24)*54\/60 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(165)\/sqrt(3))\/sqrt(11) + 3)**2 + (4*(1 + sqrt(180))**2 - (sqrt(180) + -1 + sqrt(180) + 5)**2).\nAnswer: -42*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and (-2)\/(30\/108*6\/(-40)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbqqbbbqbbqqqbbq. What is prob of picking 3 b?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3363)\/(-38) + 1\/(-2). Suppose 81 + y = z. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) - (sqrt(300) - 4*sqrt(300)*-1))*1)\/(sqrt(6)*-1*4 - (sqrt(6) + (sqrt(120)\/sqrt(4))\/sqrt(5))))**2.\nAnswer: 200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/7224 and 167\/1522200.\nAnswer: 10655400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 72*j**3 - 465921*j**2 + 8695*j + 188.\nAnswer: 432*j - 931842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*r - 8, -16 = 4*l - 5*r - 65. Suppose -2 = -2*w + l. Suppose -3 = -5*k + 67. Solve c + k = -4*o, -w*c - 2*o - 16 = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**5 - 7*k**5 - 3*k**3 + 0*k**3 - 5*k**5 + k**5 - 7*k**5 + (3*k**3 - k**3 + 0*k**3)*(-2*k**2 + 5*k**2 - k**2).\nAnswer: -11*k**5 - 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 231\/5 - (-8)\/(-40). Suppose 4*j - 5*b + 1 = o, -3*j - 2*b = -51. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12025.\nAnswer: 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 641043031?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -556, 0, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21a6 (base 12) to base 9.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**2 - 3*n**2 + 3*n**2.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -640.20877252?\nAnswer: 640.30877252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2024, 2014, 1990, 1946, 1876, 1774?\n\"Answer: -q**3 - q**2 + 2026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012767 rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24 - 10 - 54 - 162 + 3 - 8)*(104*u + 514*u - 178*u) to the form b + c*u and give c.\nAnswer: -112200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k + 12*k - 7 + 8. What is the remainder when 48 is divided by a(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence maia when four letters picked without replacement from {a: 2, i: 8, w: 2, m: 4}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 6:53 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3)\/(((t**(-3)*t)\/t)\/t))\/(((t\/(t\/(t**(2\/3)*t*t)*t*t))\/t)\/t*t**(1\/6)))\/(t\/t**(3\/5)*t**(-2\/9))**46 assuming t is positive.\nAnswer: t**(-241\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16112.2 + -16112. What is the smallest value in l, 1887\/4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 9:59 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10*((-5)\/(-2))\/(-5). Let s = -13 + r. Let b = s + 12. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiiibjibxjjjbbjzi. What is prob of sequence qz?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 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 -200722571 - -2883?\nAnswer: -200719688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-5\/8))\/a**(-17)*a**(2\/49)\/(a*a**(-17)) assuming a is positive.\nAnswer: a**(13099\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 6:20 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4012 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: Express ((5 - 1 - 2)*(1 + 2 + 1) - 1 + 4 - 2)*(-2 + g**2 + 2 + (7*g - 2*g - 3*g)*(-2*g + 3*g - 4*g)) in the form r + p*g + u*g**2 and give u.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*d + 143*d + 98 = 0. Let q(j) be the first derivative of -3*j**4\/2 - j**3 + 2*j - 3. What is the smallest common multiple of d and q(-2)?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -1276*h**2 + 10209*h + 14. Determine o(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 2. Let c(h) = h**2 + 13*h + 14. Let y be c(-12). Let b = y - 2. Sort -2, b, a.\nAnswer: -2, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 75796 = 2*v, y - 2*v + 10828 = 2*y. What are the prime factors of y?\nAnswer: 2, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132346080 and 432?\nAnswer: 397038240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbkbbbbbbb. What is prob of sequence kb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/50 - (0\/(-25 - -26))\/(-5)\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -89*l + 135. Let q(t) = -16*t - 1. Let b(d) = m(d) - 6*q(d). What is b(-21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 16559*r + 2*r**3 + 0*r**3.\nAnswer: -2*r**3 + 16559*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13926020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 993*c*l**3*u + 213*c*l**3 - 60*c*l + 3*l**3*u wrt u?\nAnswer: 993*c*l**3 + 3*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 8:34 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 848?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-279)\/465)\/(6*(-3)\/(-48))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, m: 2, s: 7}. What is prob of sequence ccs?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 10*h - 11*h - 9, -3*h - 24 = 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2466025 divided by -98641?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -6077.9\nAnswer: 6079.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 2, m: 2, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*w + 5*j + 1714 = -166*w, 0 = -5*w + 3*j + 8570. What are the prime factors of w?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**4*v**3 + 218*i**4 - 4*i**3*v + 1112*i**2*v + 13*v**3 wrt i.\nAnswer: -72*i*v**3 + 5232*i - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 4329.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 204 - 88. Let q = -29 + p. Let l be q\/9 + -5 - 1\/(-3). Solve -w - 3*h = 11, 4*w - 11 = l*h + 30 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 5*i**2 + 13*i - 3. Suppose 7 = -2*b - 7. Let q be k(b). Solve 12 = -0*g - q*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*u + 41, 4*u - 7*h + 4*h = -63. Let p(i) = -5*i**2 + 1. Let b be p(1). Let y be ((-1)\/b)\/(u\/8). What is the second smallest value in 0, y, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3482613 and -69?\nAnswer: 3482682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**2 + 0*q**2 - 7*q + 5*q)*(4*q + 0*q - 3*q).\nAnswer: -5*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17002.49 hours to microseconds.\nAnswer: 61208964000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 400\/(-160)*(-4)\/(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 12:05 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(245) + sqrt(245)*-1)*-6)**2 - (1*(-1 + sqrt(245) - sqrt(245)))**2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -8*f**2 - 2*f. Let i(n) = -n. Give p(i(v)).\nAnswer: -8*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 592.8 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2651, -5581, -8511, -11441, -14371, -17301?\nAnswer: -20231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 8. Let c(i) = -i - 8. Let w(b) = 5*c(b) + 4*m(b). Let x = 22 - 22. Suppose x = -5*h - 3 - 7, 0 = -2*q + 2*h - 12. Give w(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (0 + -6 - (-35 + 31))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -92 divided by -23\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219\/(84\/7 - 11) is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64020 and 120765.\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2522*c + 4256 = -2389*c for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 5*b + 18. What is z(6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (4 + -6 + 2) - 1 - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-8))\/(4*(-1)\/8) - 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37972874363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 542, 541, 540, 539, 538, 537?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4253 (base 7) in base 16?\nAnswer: 5e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25463\/8 + -3192. Suppose 2*u + 2 + 6 = 0. Calculate the common denominator of 2 + (87\/u - 0) and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*f = -27*f - 19536. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-438)\/(-80) + -6)*(-40)\/12.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*z, 5*w - 5 = -4*z + 9. List the prime factors of (1 - 0)\/(w\/354).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 173992*z + 54399 with respect to z.\nAnswer: 173992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124 - 60. Let i = z + -52. Calculate the remainder when i is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-6)\/(-56))\/((270108\/(-11193))\/244)?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 27*k**5 - 777*k**4 - 1038*k**3 + 1428*k**2 + 360*k = 0.\nAnswer: -2, -2\/9, 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 4\/3 (c) 5.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juueaef. What is prob of sequence ef?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w + 7 + 74 = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 13, y: 5}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + i**2 - 94*i - 843. What is u(-7)?\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/6)*w\/w**(-8)*(w\/w**(-1\/8))\/(w*w\/w**(-3\/7)*w))**(1\/12) assuming w is positive.\nAnswer: w**(1153\/2016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(((-8)\/22)\/(10\/(-55)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = o - 4*j + 4, o = 2*j - 5. Let k = 17 + o. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 17*w**7\/210 + 2*w**3\/3 + 15*w**2. What is the derivative of t(j) wrt j?\nAnswer: 68*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/2)\/((-285)\/570)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*d + 4*h + h - 3*h = -7*d - 220, 2*d = 3*h + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = 10*o - 4*b - 22, -18 = 3*o + 4*b. Let i(j) = -37*j**2 + 2. Let c(l) = 186*l**2 - 11. Determine o*c(z) - 11*i(z).\nAnswer: 35*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 64 = 3*q. Suppose -x + 4*v = 2*x - q, -2*v = 2*x - 20. Suppose p + y - 9 = -y, 4*p - x = -y. Solve 0 = 4*c - p - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 52\/13 + 2\/(8\/(-12)) + 6. Is 198 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 702 and 310028823.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-502)\/4 - 24\/(-16). Suppose 4*r = -32 + 1160. Let k = r + t. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/858 and 139\/1386.\nAnswer: 18018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 6 = 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30*m**3 + 2*m + 41 + 125*m**3 - 2*m + 23*m**3 wrt m?\nAnswer: 354*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -246 and 74806.7?\nAnswer: 75052.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -23232002 (base 4) to base 10\nAnswer: -48002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 35 - (2 - 3). Let t be 1\/((-140)\/q + 4). Let w(n) = -t*n**2 - 157 + 157. Let s(h) = 2*h. Determine w(s(l)).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-306)\/(-8)*4992\/14144.\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.189 - 0.221. Let k = -1 + a. Round k to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, y: 5}. Give prob of picking 4 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8833*d = 8854*d - 210. Which is smaller: d or -296?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4\/(-40)*4*-5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -21*j - 3. Let c be m(-4). Let w(x) = x**3 - 13*x**2 + x - 4. Let o be w(13). Calculate the highest common factor of o and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 116*g**2 + 5*g + 1804. Calculate the smallest common multiple of u(-116) and 9.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 1956000*r**2 + r + 1. Let u be h(-1). Suppose -118*o = -124*o - u. What is o rounded to the nearest 10000?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*q + 4 - 2 - 408*q - 2.\nAnswer: -391*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/77 - (-2)\/13797*-2013. Is 0 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 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: Let q = -1.15 + -3.85. Which is the closest to -1? (a) -1\/14 (b) 1\/8 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**4 - 11820*v**3 - 70695*v**2 + 106180*v + 165060 = 0. Calculate v.\nAnswer: -2358, -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-1 + -29)*(-18)\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-924)\/35)\/(22\/(10 + -780)*(-5 - 2)).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9410.692203959 - -8871.69220369. Let v = 15.9 - -523.1. Let c = v + s. Round c to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 920309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/12)\/(10\/90)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -12. Suppose -2*j - 15 = -h*t + 16, 0 = -3*t + 3*j + 24. Solve 3 = 3*m, -3*g = -t*m - 4 - 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 23?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyhaaygajgygyyygt. Give prob of sequence ah.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 92873.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52844759 divided by -869?\nAnswer: -60811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 1 + 2, -18 = -129*d + 135*d + 2*x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 36*l + 64. Is 20 a factor of o(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35811 (base 9) to base 11.\nAnswer: -17026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/(i\/i**3))\/(i**0)**32*i\/((i*i**(1\/5))\/i)*i**(-4)*((i*i**(-1)*i)\/i)**(-43) assuming i is positive.\nAnswer: i**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - j - 35. Let q(x) = -x**3 + 8*x**2 - 3*x - 8. What is the tens digit of q(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.048 times -0.838?\nAnswer: 1.716224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-20 + 7 + 31)) + 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + (sqrt(22) - -6*sqrt(550)) + sqrt(22) + sqrt(22) + 2*(sqrt(22)*3 + sqrt(22)))\/(1*(-1*sqrt(704) - sqrt(275)*5)).\nAnswer: -14*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 14. Suppose -5*j + 0*n + z = -n, 0 = -j - 4*n - 18. Find the second derivative of d - 2*d**j + 8*d**2 + 5*d wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 73 = -5*j, -6 - 26 = o - 4*j. List the prime factors of (-18)\/o - (-37)\/2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 48. Calculate the remainder when w is divided by (4\/6)\/(6\/27).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 35 + 47 = 0. Suppose 0 = -r - 3*d + 40, -3*r + 52 = -5*d - v. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**4\/8 + 88*j**3\/3 + j**2 - 27. Differentiate b(d) wrt d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 220 - 211. Solve 0 = -y*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-21)*(-1602)\/890?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + 0*y**3 + 2*y**3)*(1 - 1 - 1 + 3 - 2 - 3 + (-4 + 1 + 4)*(2 + 1 - 1)).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.091 + -5.091. Which is the nearest to -2\/5? (a) o (b) 0.06 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1087 - 1069. What is the lowest common multiple of o and (1 + -43 + 4)*-4?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1552 - 1523.87. Let l = v - 28. Round l to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.07, -6205 in decreasing order.\nAnswer: 2\/3, -0.07, -6205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7577711017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348893 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 214199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 1089 - 395. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220180 rounded to the nearest 1000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162665?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - ((1 - 2) + -46). Let q be 3\/2*k\/18. Is q\/6 - (-76)\/3 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4484, 23197, 41910?\n\"Answer: 18713*a - 14229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -24421.5 to the nearest one hundred.\nAnswer: -24400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -8 - -6 - 25 - (-3 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 929083526 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15325 (base 6) to base 11.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9548566 divided by -4774283\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12732 + ((-33)\/(-3) - -3)?\nAnswer: 2, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 1256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 10:41 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 189?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -4, -0.3, 6\/5, -62, 2116, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15\/2*(961\/961)\/(5\/(-24))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20230 + -0.3\nAnswer: -20230.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 110, 200, 282, 356, 422?\n\"Answer: -4*f**2 + 102*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 57 - 37. Let j be 0*(2 - 1)\/(-1). Solve -5*y - 3*f + 5*f = -6, y - i*f - 15 = j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-35)\/(-20))*-4. Let y be 75\/(-10)*(-2)\/n. Solve y*u + 0 = -t - 3, t + 3 = -4*u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10699, 10690, 10675, 10654, 10627, 10594?\n\"Answer: -3*n**2 + 10702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1018 - -1034. Calculate the remainder when 2559 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -805, -1469, -8 in increasing order.\nAnswer: -1469, -805, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2555, 10301, 23235, 41357?\nAnswer: 64667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3914 is divided by 87?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -988568 divided by -7784\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 5*q**2 - 2271*q**3 + 6*q**2 + 19 - 12.\nAnswer: -2271*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7483488499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107146 is divided by 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1 + h + 8*h**2 + 0*h + h. Let d(j) = 2*j + 5. Let w be d(-3). What are the prime factors of y(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2225*b - 117 = 2234*b + 63 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 2*n**2 + 3 - 9*n**2 - 3*n**3 - 4 = 0 for n.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*r - 27 - 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 3*j**2 - 6*j + 21. Let o be r(3). Factor 0 + 5\/4*a**3 - o*a**2 + a.\nAnswer: a*(a - 2)*(5*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331958 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066662270 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 22. Let v be j(11). Suppose v = -33*n + 30*n + 36. Suppose n = 13*h - 7*h. Calculate the remainder when 10 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/3, 4, 129 in decreasing order.\nAnswer: 129, 4, 1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 15 - 6 + 0)*(-2*n - n + n).\nAnswer: 4*n**2 + 42*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8636377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 14 - 627*w - 330*w + 26 as d + z*w and give z.\nAnswer: -957","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 49 + 76*y**2 + 144*y.\nAnswer: 76*y**2 + 144*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10906, 20641, 30376?\n\"Answer: 9735*p + 1171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 766*g**3 - 14*g**2 + 38*g - 48. List the prime factors of c(4).\nAnswer: 2, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a**2 - 5. Let q(b) = -b**2 + b. Let u(d) = -2*d**2 + 6*d - 3. Let s(h) = 6*q(h) - u(h). Give 3*l(k) + 5*s(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 8*r**2 + 9*r + 2. Let k be u(-9). Find the second derivative of m**k + m - 3*m + 5*m wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3034031 (base 13) to base 8.\nAnswer: 67462532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 12:57 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 532724807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 762 - 2c?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, t: 8, q: 3, s: 2}. Give prob of sequence tt.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1848260?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**6 - 76*j**5 + 287*j**3 + 203*j**2 - 82*j?\nAnswer: 240*j**3 - 4560*j**2 + 1722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.1196 to one dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 8*z - 1. Let r be ((-2)\/3)\/(1\/(-9)). Let q be l(r). Suppose f - 8 = -k - k, -f + q = k. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 429 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-48) - 9386\/(-17328))*-94\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 14849*g + 103939. Calculate w(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 10011302230?\nAnswer: 10011302221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8 = -4*q, -p + q - 5 = 3. Put 2, 4, p in ascending order.\nAnswer: p, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2300, 4595, 6890, 9185, 11480?\n\"Answer: 2295*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 21*y + 1. Let o(p) = -7*p. Determine 2*i(q) + 7*o(q).\nAnswer: -7*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47710886983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 3*w**2 - 5*w + 3. Let i be h(0). Solve -5*z + i*p + 5 = 0, 9 = 2*z - 4*p + 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 + -84.99999626. Round o to seven decimal places.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 1:08 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11615 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6))**15*(z\/(z\/z**(-9\/7)))\/z**(2\/3))**(-37) assuming z is positive.\nAnswer: z**(71447\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.7 from 415.31.\nAnswer: 416.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 1:49 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 8*b + 56. Let u be c(-6). Suppose 34 + u = 19*i. Solve -w = w - i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**2 - 188170*m + 188175 = 0?\nAnswer: -37635, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -21. Suppose -i + p = -0. Factor -s + 1 - s**3 - 8*s**2 - 1 + i*s**2.\nAnswer: -s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2. Let h be b(1). Suppose h*q = 4*j - 330, -j + 6*q - 4*q = -90. Suppose -y + j = y. What is y rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/5 and -195384 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2453\/56 + -325\/7. Find the common denominator of -41\/12 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -20. Suppose 0 = 5*t - 3*r + 7*r + 4, 0 = h*t - 3*r - 3. Solve t = -5*b - 6 - 19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, -7, 1, -1, -20 in decreasing order.\nAnswer: 17, 4, 1, -1, -7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -95\/4 at most 8606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h**2. Let k(i) = -11*i. What is r(k(v))?\nAnswer: -726*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 11:27 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 9.8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1113 or 12253\/11?\nAnswer: 12253\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 701, 2809, 6323, 11243?\n\"Answer: 703*d**2 - d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75956404*a**3*j**2*o**2 + a**2*j**2*o**2 + 143*a**2*o**2 + 13*a**2 + 2*a*j**2*o**2 + 2*a*j**2*o + 2*j**2*o - 3*j wrt a.\nAnswer: -455738424*j**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 1129*p**2 + 14953*p - 496614. Give n(1116).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-1) - (-19 - (0 - 7)). Let a(n) = 2 + 2*n - 2*n + n**2 - 3*n. Let u be a(5). Calculate the highest common divisor of u and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329413827.\nAnswer: 3, 1223, 89783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165795385 and 8855.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-1020))\/((-35)\/30)\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (20 + -13 + -92) - (6 - -3)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, z: 1, i: 1, j: 2, o: 6}. What is prob of sequence zk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11947 in -3\/2, -1, 2, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -316 + 1775*b - 326 + 642 as j + h*b and give h.\nAnswer: 1775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402986699?\nAnswer: 71, 5675869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16942 is divided by 5633.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0794075405 to 6 decimal places.\nAnswer: -0.079408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minus 2966?\nAnswer: -2855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -4. Calculate the smallest common multiple of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 3*o + 1. What are the prime factors of w(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -159 - 13*q - q**3 + 160 + 4*q**2 - 13*q**2 + 2*q. Let i be d(-8). Solve 0 = -2*j + 7*j - i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 8*y - y**2 - 113\/6*y**3 + 0. Is m(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -21*o**3 - 5*o**2 - 3*o + 78. Let v(m) = 21*m**3 + 7*m**2 + 4*m - 89. What is 3*q(u) + 2*v(u)?\nAnswer: -21*u**3 - u**2 - u + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(-7)\/(105\/(-6)). Let f(x) be the third derivative of -x**5\/20 - x**4\/12 - x**2. What is f(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00719683 to four dps.\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 11*c**2 - 25*c - 13.\nAnswer: (c - 13)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.5 (c) 1\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5 - 2. Let m = 214 - 213.9. What is the second smallest value in m, 3, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*w**2 + 0*w + 2*w + 92*w**2 as a + l*w**2 + v*w and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a\/(a*a*a**(-6\/11))*a)\/a)\/a*a*a)\/a*a\/(a**(-14)\/a))\/(a**(-2\/43)\/(a\/(a\/a**(-12)))) assuming a is positive.\nAnswer: a**(2172\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -133*y**2 + 1 + 405*y**2 - 133*y**2 - 137*y**2. Let a(k) = -188*k**2 + 124. Let u(z) = -a(z) - 6*v(z). Differentiate u(q) wrt q.\nAnswer: 352*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + g - 11, 2*f - 3*g = 2*g + 1. Let j(u) = u + 10. Calculate j(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: a3d (base 14) to base 6\nAnswer: 13155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(1\/(-14)*16*(-126)\/3744)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-6) - 2\/3. Let j be -17*((-2)\/7)\/2. Let o = 309\/133 - j. Is v at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 times -140?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0. Suppose -i = -u - 6. Let a(h) = i + h - 5 + 4. What is a(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqnr when four letters picked without replacement from rnnnnnnhnrqnnnn.\nAnswer: 11\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1696 - 1693. Sort -41, -0.5, s.\nAnswer: -41, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**3 + 44830*r**2 + 358400*r + 716640 = 0. Calculate r.\nAnswer: -8958, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 14*f + 5. Let l be o(-1). Which is the closest to l? (a) 3 (b) -5 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -4, -1\/6, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (91 + -83)) + 52\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*t = -268 + 4348 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -17*l + 66 + 70 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220139 is divided by 109489.\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -211\/55650 and -37\/105?\nAnswer: 55650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 1. Let f(w) = 1. Suppose 0*n = -3*n, -2*g + 2*n = 0. Suppose -p = 2 - g. Let v be (-6 - (-1 - 2)) + 0. What is p*x(m) + v*f(m)?\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/36)\/((-2)\/34) + 4. Which is the closest to 0.6? (a) k (b) 0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 1872*v + 3732.\nAnswer: 3*(v + 2)*(v + 622)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(91)*-1 + sqrt(91))*4 - -2*sqrt(91)*-2))\/(-3*sqrt(630)\/(sqrt(70)\/sqrt(7))).\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*v**2 - 1\/2*v + 0 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 - -283. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 0*v + v)*((1 - 3 + 1)*(-2*v**2 + 0 + 0) + 4*v**2 + 2*v**2 - 3*v**2) in the form i*v + h*v**3 + d + p*v**2 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 7*w**2 - 7*w + 9. Let m be i(6). Let l = -168 - -843\/5. Let v be 4\/6*(-5 - -4). Sort v, l, m.\nAnswer: v, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3054.988 days in milliseconds?\nAnswer: 263950963200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -779 + 1307. Is x a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 74*k - 819. Let a be x(11). What is the third smallest value in 130, 3, a?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1 - 3*a + 2 + 2*a**3 + 8*a**2 - 10*a**2. Let r be g(2). Solve r*y = 3 + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -5.\nAnswer: -6, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -986.0942528 + 986.1. Round c to four decimal places.\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 + 17. Suppose -282*v + 663 = -6 - 459. Let t(p) be the second derivative of -1\/12*p**v + 0 + 0*p**3 + 36*p + 3*p**2. Give 11*t(g) - 4*y(g).\nAnswer: -3*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919985423 a multiple of 579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s - 4*s**4 + 2*s**4 + 3*s)*(5 - 1 - 5) in the form p*s**2 + r + m*s**4 + z*s**3 + a*s and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 911790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -42325549\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express z - 3*z + 4*z + 0 + 0 - 3*z + 3 - 3 + z + (0 + 1 + 2)*(-2*z + 2 - 2) as l*z + k and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n**2*u**2*y - 98*n**2*y**2 + 70*n**2 - n*u**2 - 53*u**2 + 2*y**2 wrt y.\nAnswer: 2*n**2*u**2 - 196*n**2*y + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/2 and -31\/166638?\nAnswer: 166638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w - 18. Let r be u(-9). Let g be -6*1*(-15)\/r. Let s(m) = -m**2 - 9*m - 19. Let n be s(-5). Put 7, g, 4, n in ascending order.\nAnswer: g, n, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + -5*(2 + sqrt(45) + 2)**2*-5.\nAnswer: 600*sqrt(5) + 1534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -265*q**2 - 268*q**2 + 532*q**2 to the form g*q**2 + a + b*q and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y - 15. What is the remainder when 74 is divided by p(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/5 - 6)\/(922\/(-3227))\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11717.\nAnswer: 11717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3749 + -75007\/20. What is the common denominator of (5\/32)\/(2\/76) and g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 57 - (56 - 87)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101011001100100001 (base 2) in base 13?\nAnswer: 279649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 11132?\nAnswer: 11132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -26335\nAnswer: 131675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001045955585 rounded to five dps?\nAnswer: 0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -28, 0.5.\nAnswer: -28, -3, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -106.\nAnswer: 3\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4402 or 23?\nAnswer: 4402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4 + 0*k**2 - k - 16*k**3 + 42*k**3 + 4*k**2 - 25*k**3. What is z(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 (base 7) in base 10?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -b**4\/3 + b**3\/2 + 17*b. Let k(q) = -q**2 + q. Let x be 6\/(-4)*(1 - 3). Determine x*k(i) - h(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/21, 23, -0.1.\nAnswer: -5, -0.1, 2\/21, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-198)*7\/((-21)\/(-9))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 397 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -115896 equal to 22\/557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 + 554225?\nAnswer: 554154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) -3 (c) -0.4 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180605653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*p + 4*r - 0, -2*p + r + 1 = 0. Let i = -254 + 5573\/22. Calculate the common denominator of i and 11\/((-3 - 2)\/p).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 295, 1185, 2675, 4771, 7479, 10805, 14755, 19335?\n\"Answer: c**3 + 294*c**2 + c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 60 = -0*h. Calculate the remainder when h is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8*t - 114 - 8*t - 13*t. Let a be f(-4). Factor -4\/11 - 2\/11*o**4 - 18\/11*o**a - 14\/11*o - 10\/11*o**3.\nAnswer: -2*(o + 1)**3*(o + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -141011?\nAnswer: -141012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -16. Let i = 5 + y. Let x = -6 - i. Put 1, x, -0.2 in descending order.\nAnswer: 1, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 465774, 931592, 1397410, 1863228, 2329046?\n\"Answer: 465818*i - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -201 divided by 1097\nAnswer: -201\/1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 + (-285)\/12. Let j = 12 + z. Let t = 16 + j. Calculate the greatest common divisor of t and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 x when four letters picked without replacement from {x: 3, h: 1, m: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, d: 15}. What is prob of sequence dv?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*p**2 - 776*p**2 + 514*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2938 - -26366\/9. Find the common denominator of g and 16\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngllggggllgrllggl. Give prob of picking 1 r and 1 n.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3808778423?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + m + (6*m - 2*m - 3*m)*(-2 - 1 + 5) + 0*m - m - m + 1 - 1 + m + (-2*m + 6*m - 3*m)*(3 - 2 + 1) to a + u*m and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 49*z**3 + 346*z**2 - 944*z - 6771. What is s(-7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 13*v**2. Let c(f) = -35969*f**2. Determine o(c(k)).\nAnswer: 16818996493*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1290 + -548. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5774 is divided by 152.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -4)\/(-7 + 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/4)\/(7\/168). Let l be (78\/(-12))\/((-2)\/a). Suppose l = -0*x + 3*x. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 3*r + 7, -5*r + 107 = -2*d + 104 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyesegsseeeyye. Give prob of picking 2 y and 2 s.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 11*z + 7*z)*(1 - 6 + 2 + 4*z).\nAnswer: 76*z**2 - 57*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2867, -2965, -3115, -3305, -3523, -3757?\nAnswer: -3995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 10:07 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40691225.\nAnswer: 5, 1627649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-32)*k**25\/k)**(-6\/11) assuming k is positive.\nAnswer: k**(48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/15 - (-4)\/(1 - -39))*-2. Let s(h) = -12*h. Let o be s(4). Let k be 2\/12 - (-8)\/o. Solve j - g - 2 = k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2166 divide 228593142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/(-10))\/(4\/14). Suppose -5*g - 2*s + 45 = 0, 3*g - 27 = -y*s + 5*s. Suppose 2*u + c - 21 = 0, 2*u + 3*c + 36 = 5*u. Is u greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.027, 1.56, -0.2, 5 in increasing order.\nAnswer: -0.2, 0.027, 1.56, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 8095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3145900052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9702?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*x + x + 0*x)*(4 + 2 - 11) - 1 - 2*x + 1 + (0 + 1 - 2)*(0*x - 3*x + 2*x))*(-11*x - 12*x**3 + 11*x).\nAnswer: -108*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (62 - 47 + 101)*(0 + 0 + c**4) as t*c**2 + u*c**4 + f*c + g + o*c**3 and give u.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 3*q. Let d be h(-2). Suppose -3*y + 3*w = 106 + 164, -d*w + 366 = -4*y. Find the common denominator of -1\/6 and (y\/9)\/((-33)\/(-9)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139265 by 865.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 1240400?\nAnswer: -1240385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 263, 253, 243, 233, 223?\n\"Answer: -10*y + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 340811520 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -85\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -52857505*t. Let b(k) = 2*k. What is w(b(p))?\nAnswer: -105715010*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g**2 + 5*g**2 - 1 + 6 + 28*g**2.\nAnswer: 51*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -68*p - 1695. Give l(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 41 + 6*i + 1\/2*i**2. Calculate k(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r - 26. Calculate the least common multiple of ((-10)\/(-4) + 0)*8 and c(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210\/(-8)*((-631584)\/(-1020))\/258?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -146.703 - -156.09. Let n = 0.613 + x. What is the third biggest value in n, -4, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-43)\/(387\/18))*3*236\/(-6).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -10. Suppose 2*i - 6 = 4*s, x*i + 5*s - 53 = -i. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 4058*j + 1058745. Give o(246).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 5?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 11:35 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/23 and 45\/585358.\nAnswer: 13463234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*i = 3*m - 36, 0 = 3*i + 12. Calculate the remainder when 95 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/(-120)*-25)\/(56\/630))\/((-4)\/8)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (784\/343)\/(8\/14). Solve -3*m - 6 = 0, 4*g + 4*m + 0 = -p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1920*o - 2014*o - 2456 - 1962 = 0 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000874437643 to seven decimal places.\nAnswer: 0.0008744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*d - 12 = -0*s, 5*s + 4*d - 2 = 0. Solve 0 = -5*q + 7 - s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4518, 35593, 119938, 284187, 554974?\nAnswer: 958933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1332)\/(-45) - 30) + (9\/(-75))\/(3\/(-13))?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 26*j**5 - 7*j**2 - 60*j + 7. Let n(g) = 17*g**5 - 5*g**2 - 40*g + 5. Let q(i) = 7*n(i) - 5*y(i). What is the second derivative of q(f) wrt f?\nAnswer: -220*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.1 + -43.9. Let p = m - -46.5. Suppose 20 = -2*j - 2*j. Sort 0.3, p, j in descending order.\nAnswer: 0.3, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = d - 3*r, -r + 0 - 4 = -d. Let m(s) = -s + 12. Give m(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 1. Let s be o(-4). Let q = s - -5. Let v = 30 - q. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**5\/20 - 7*a**4\/12 - 7*a**3\/6 - 4*a**2 - 10*a. Calculate q(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -121440*l + 52609 wrt l?\nAnswer: -121440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 12) to base 4\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**4\/7 - 1210*u**3\/7 + 115142*u**2\/7 - 99462*u\/7 - 1367496\/7 = 0.\nAnswer: -3, 4, 117, 487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let a be 852000216\/(-30) - -8 - 4\/5. Round a to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1932106.2 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92391 is divided by 10264.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*i - 23 = -8, 4*i - 20 = 4*g. Suppose g = b - 3*b + 4*m + 2, b - 3*m + 4 = 0. Let l = -10 + b. Let j(d) = d - 1. Give j(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1138*j + 39814. Calculate i(35).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 38*-0.4372\nAnswer: -16.6136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3190.2 - 3190. Let m = -1 - -1. Which is the closest to m? (a) x (b) 3\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 9495, -2, -1\/4, 1, 2\/11 in ascending order.\nAnswer: -2, -1\/4, -0.2, 2\/11, 1, 9495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-0.3.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u + 3 + 5 + 7*u + 2 wrt u?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 9*y**2 + 6. Let n be -1 - ((-54)\/(-2))\/(-1). Suppose 0 = -4*z + n + 10. Is j(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21168314 - 3?\nAnswer: -21168317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1f (base 16) to base 13\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 29 + 0 = 2*l - 9, 0 = 4*l - 4*q - 84 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eepppep. What is prob of picking 3 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2406 (base 9) to base 10.\nAnswer: -1788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85239.\nAnswer: 3, 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*z - 110 - 10. What is the third derivative of -51*g**4 + 114*g**2 + 46*g**2 + 30*g**z + 23*g**4 + 22*g**6 - 135*g**6 wrt g?\nAnswer: -13560*g**3 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9)**(9\/10) assuming h is positive.\nAnswer: h**(81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b2 (base 15) to base 2\nAnswer: 10100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-102)\/(-867) + (2633\/17 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-57)\/(-38)*(-1 + (-34)\/(-6)). Suppose 2*j - q = 5. Let f(x) = -x. Let k(u) = -u**2 + 12*u + 5. Let v(n) = 5*f(n) + k(n). Determine v(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6 - -2) - -1 - -2. Let -l**4 - 58*l - l**4 - 2*l**a - 8*l**3 - 8*l**2 + 54*l = 0. Calculate l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.013 + 4.013. What is the nearest to 0.1 in u, -1\/3, 11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, l: 1, s: 1, d: 4, t: 1}. What is prob of sequence ttsd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7473194.\nAnswer: 2, 19, 196663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89\/15655 or 1?\nAnswer: 89\/15655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -78986139.47 rounded to the nearest 1000000?\nAnswer: -79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 153 + 46)*(-34 + 34 + j**2 + 3*j) - 2*j**2 + 0 + 0 in the form l*j**2 + b*j + c and give l.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 52 = -2*d, 2*r = 2*d + 3*r - 52. Calculate the highest common factor of d and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 1:28 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -21.9. Let f = 183 - 336. Let g = f - -157. Sort 3, n, g in descending order.\nAnswer: g, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -59, -178, -387, -692, -1099?\n\"Answer: -u**3 - 39*u**2 + 5*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, c: 2}. Give prob of picking 2 k.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1828540 - 1828540 + 12*a**2.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3688c81 + 3?\nAnswer: 3688c84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148615 = -14*m - 148937 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 367*g**2 - 6*g*r - 1529*r wrt g?\nAnswer: 734*g - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3))**(-38)*(b*b**(-1\/2))\/((b*b**8)\/b) assuming b is positive.\nAnswer: b**(213\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -30. Let d = k + 29. Calculate the remainder when d is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1736 and 1507716.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15.33 (b) -0.1 (c) 4\/3 (d) -179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1430*z + 30 - 2970*z**2 + 3227*z + 490*z**2 + 180*z + 2968*z.\nAnswer: -5*(z - 2)*(496*z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20792*o**2 - 171*o + 171*o.\nAnswer: 20792*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29\/15 - -3\/5. Let r be 20\/8 - (-3)\/2. Suppose -j - 3*t + 15 = -4*j, r*j + 5*t - 16 = 0. Sort 0.2, m, j in increasing order.\nAnswer: m, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in 0.044, -91, 2, 0.5?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*(-67)\/((-32830)\/(-60)))\/(3\/(-84))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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 f(o) = 4*o**2 - 77*o + 25. Let d be f(20). Which is bigger: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**3 + p**2 + p + 12. Let q be l(6). Suppose -26*z + q = -8*z. What is the remainder when 77 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6353735*a**2*d**2 - 2*a*d**2 - 12*a - 514707*d**2 + d wrt a?\nAnswer: 12707470*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(9)*1)*5.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 6*j**2 - 7*j - 3. Let v be x(-5). Suppose 4*b - 107 = -4*o - v, -127 = -4*b + 5*o. What is the greatest common factor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*s + 24*s + 30*s + 54*a - 633 = 89*s, 0 = -4*s - a + 24 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 4. Let d be m(9). Let v(o) = -o**3 + 5*o**2 + 4*o - 2. Let h be v(d). Let j = h - 8. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 - -82. Solve 5*t + 38 = 5*w + 3, 0 = 5*t - 3*w + i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 45*f - 27 + 102 - 26 - 30 as u*f + b and give u.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -481076 divided by -2.\nAnswer: 240538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**3\/3 + 5*o**2\/2 - 46*o + 2. What is i(12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31603, 31604, 31605, 31606, 31607, 31608?\nAnswer: 31609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from {o: 3, j: 6, u: 6, x: 1, t: 1, n: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 795359 greater than 795520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1344)\/(-126)*(-54)\/(-24).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(99) - 5*-1*sqrt(99))\/(sqrt(18)\/(sqrt(2) + sqrt(6)\/sqrt(3) + sqrt(2))))**2.\nAnswer: 180*sqrt(11) + 3589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -90, 14, 168, 372, 626?\nAnswer: 930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 9786709.6 to the nearest ten thousand.\nAnswer: 9790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 2140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 5 - 12 + (0 + 0 - 1)*(-2 + 2 - 1))*(0*o + 0*o - o).\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49891, 99686, 149483, 199282, 249083?\nAnswer: 298886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, p: 2, q: 1, u: 2, d: 1, o: 1}. What is prob of sequence qfup?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 42811668 from 33.332.\nAnswer: -42811634.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.922 - 9.94. Let b = -0.032 + d. Let h = 1.154 - b. Round h to two dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 10*y + 17. What is the remainder when 13 is divided by f(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0881 and -201.85?\nAnswer: -17.782985","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 276926 bigger than 277022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -23.808. Let s = f - -0.008. Let h be (0 + -1)\/(6 + -5) + 3. Which is the closest to 2\/3? (a) h (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77) + -3*(sqrt(77) + 2*sqrt(77)))\/(sqrt(44)\/sqrt(4)*-5))**2.\nAnswer: 343\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*v**2 + 2*v + 2 - 2 + 43*v**2 in the form k*v**2 + s + c*v and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 155726070 to the nearest one hundred thousand.\nAnswer: 155700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 23*q**2 + 170*q - 322. Give d(29).\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 4:14 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.6 - 0.2. Let r = 2 + q. Let b = r + -3.2. What is the second smallest value in 0.5, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g. Let f(y) = 37294193*y**2. Calculate f(u(j)).\nAnswer: 37294193*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11650 and 833674?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-18)*6\/2. Let q be ((-6)\/(-9))\/(8\/(-18)). Which is the third smallest value? (a) q (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -149 + 174 - p - 44. Let l(i) = -60*i. What is y(l(w))?\nAnswer: 60*w - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 10*i**2 + 2*i + 29. Suppose -2*f = -3*f - 10. Let j be q(f). Let m be 39\/j - (-4)\/(-12). Solve 0 = m*r - 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/((-689325)\/(-4067)) - (-2)\/25. Let u = l - -907\/606. Suppose -1\/2*k**2 - k + u = 0. What is k?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5)\/y)\/(y\/(y*y**(2\/9))))\/((y*y**(2\/9))\/(y**(1\/3)*y)) assuming y is positive.\nAnswer: y**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 3286894*h**2 - 6573784*h.\nAnswer: -h*(h + 2)*(h + 3286892)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 31.6. Let v = 30.60000184 - a. Round v to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -w - m, 3*w + 4 = -m - 1. Let b(f) = f**3 - f**2 + w*f**3 + 4 + 0*f**2. Determine b(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 - o**2 - 2*o**2 + (1 + 1 - 3)*(5*o**2 - 4*o**2 + 0*o**2) + (5*o - 4*o + 0*o)*(3*o + 6*o - 4*o) + 3*o + 5*o**2 - 3*o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(637) + sqrt(637) + -2 + -4)*-3)**2.\nAnswer: -1176*sqrt(13) + 23128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*g - 71*g + 1385 = 573 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(-7)\/(-98)*7.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56298 + -229135\/4. Let a = 986 + h. Factor a*j**5 - j**2 + 1\/4*j + 3\/2*j**3 - j**4 + 0.\nAnswer: j*(j - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**2 + 6*s - 2. Let w be 64\/28 - 2\/7. Let q(g) = g**2 + w*g - 4*g + g + 0*g. What is -a(d) - 6*q(d)?\nAnswer: -d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b. Let q(s) = 1 + 5*s**2 + 2*s**3 - 5*s**2 - s**2. Let z be q(-1). Let m(i) = 1 + 4 - 3 - 1. Determine z*m(l) + r(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2449350?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -11. Solve 3*n + 3 = -h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -464 (base 9) in base 16?\nAnswer: -17e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169796*u + 509260*u - 169740*u - 169737*u.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(2736) + sqrt(2736) + 0 + (sqrt(2736) + 1)*-4))**2.\nAnswer: 8640*sqrt(19) + 394884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9169228 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 29496 = 27132. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-88.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.138 and -1.25?\nAnswer: 0.1725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((-168)\/288).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzkk when four letters picked without replacement from vvtiztiiiiitizvkykz.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 10*z**2 + 99*z - 4. Let x be w(-10). Calculate the highest common divisor of x and 354.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 - 0.14\nAnswer: -24.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (13\/273)\/((-3)\/45)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**4\/42 - 184*u**3\/21 + 8464*u**2\/7 + 1529*u. Factor y(g).\nAnswer: 2*(g - 92)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79187 to the power of 1\/2, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4958 - 4954.967. Round o to 1 dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4*p + 0*p + 7*p)*(-2 - 2*p + 2)*(-39 - 27 + 49) in the form t*p + j + h*p**2 and give t.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9540)\/24)\/(-53)*12\/(-10)*(-1040)\/(-80).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44528 + -44504. Suppose 0 = -d + 6*d - 45. Calculate the remainder when v is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 105 - 282?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - k - 3. Calculate a(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = -222 + 173 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12035 (base 8) to base 7\nAnswer: 21004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(8\/33 - 5\/15). Let x(d) = -d**3 + 12*d**2 - 12*d + 13. Let t be x(k). What is the derivative of -14*f**3 - 2*f**2 + 21 + 2*f**3 + t*f**2 wrt f?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 9*r**2 - 5*r - 22. Let a be z(6). Let t = 19 - -23. Calculate the highest common factor of a and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 12, -6 in descending order.\nAnswer: 12, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3222*k**2*x + 5889*k**2 wrt x.\nAnswer: -3222*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/27*(-880)\/(-1540).\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e24 - -1?\nAnswer: -e23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**3 + 177*y**2 + 115*y**2 - 292*y**2.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1278*v + 3823*v - 1290*v - 1239*v.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*t = 204*t + 126 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -727\/4 + 182. Let y(t) be the second derivative of t + 0 - 3\/2*t**2 + i*t**4 + 0*t**3. Solve y(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 151459436 + 2?\nAnswer: 151459438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**21)**(13\/2)*(d**(-3))**(2\/97) assuming d is positive.\nAnswer: d**(26469\/194)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5873338 to the power of 1\/2, to the nearest integer?\nAnswer: 2423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152835280 and 1115.\nAnswer: 152835280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 6*j**2 - j - 2. Let z be m(-6). Suppose z*n - 9*n + 1265 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002390851 to 7 decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 502*c + 4503. Give z(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2678491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1047665194 and 22?\nAnswer: 11524317134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 9 + 2 = 0, -56*u - 69*u - 3*c - 2*c - 882 = -246*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**5*r**(-3\/5)*((r**(-4)\/r)\/r)\/r*((r**(1\/2))**(8\/5))**(-38) assuming r is positive.\nAnswer: r**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4\/11 - 5458*i**3\/11 + 5660*i**2\/11 + 545800*i\/11 - 546000\/11 = 0. What is i?\nAnswer: -2730, -10, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w - 4. Suppose -6 = -0*k + 2*k. Let l(d) = 11*d - 4 - 3 - 17*d - 1. Let a(z) = k*l(z) + 5*q(z). Differentiate a(c) with respect to c.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 7*j - 6. Let v be u(-6). Suppose 25 = 5*d - v*d. Solve -d*t - c + 26 = 0, -2*t - 3*c + 6*c + 7 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from ikkkiwkki.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2 - 22*w**2 + 14*w**2 + 9*w**2 - 3*w. Give d(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7963169*x**3 + 16494871*x wrt x.\nAnswer: 47779014*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238452 is divided by 1766.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14192864 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 11101000101?\nAnswer: -11101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5 + 5 - 4*z - 4*z**5 - 50*z**3 + 25*z**4 - 21*z - 2*z**5 + 50*z**2 = 0. Calculate z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/4)*j\/j**(-2\/11))\/(j**(-2)\/j**6) assuming j is positive.\nAnswer: j**(459\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 7815 = -9097. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120995 by -7.\nAnswer: 17285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -1\/8, -0.13, -0.1, 4, -540\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3811, 58 in ascending order.\nAnswer: -3, 58, 3811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 12. Let a be d(10). Let j(t) = 6 + a*t - 3*t + 4*t. What is the tens digit of j(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 9.1, 0.4, 4\/9 in increasing order.\nAnswer: -0.1, 0.4, 4\/9, 9.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315*h**4 + 600*h**3 + 995*h**2 + 460*h\/3 - 100 = 0. What is h?\nAnswer: -2\/3, 5\/21, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 230. Suppose -j = -w - 9. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-18)\/f)\/f*f)\/f*f)\/f**(1\/5)*f**(3\/13)*f\/(f\/(f*f**(4\/5))) assuming f is positive.\nAnswer: f**(-1116\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 11:30 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1111111110?\nAnswer: -10000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-7) + (-6)\/(-21). Which is smaller: -4 or w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -19 - (17 - (-17 - -56))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810*m + 38 = -815*m - 4*a, 3*a = -4*m - 31 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -1. Let a = 4.07 + -0.07. Let b = y - a. Which is smaller: -0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -1. What is the least common multiple of c and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 252054982 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*p - a = 54*p - 6, -4*a = -3*p - 13. Put -1, -37, 2, p, 3 in descending order.\nAnswer: 3, 2, p, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 2)\/(-9 - -5). Let u(o) = -4*o + 34. Let i be u(s). Solve -14 = -5*d - i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 18 = 3*r. Let j be ((-3)\/6)\/(-1)*r. Calculate the remainder when (j - -24)\/(-1 - -2) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**2\/9 + 431408*q\/9 + 23264107808\/9 = 0.\nAnswer: -107852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 70 times -40\nAnswer: -2800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107833752 divided by -390702.\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f = 86*f - 4076240000. What is f rounded to the nearest 1000000?\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, k: 1, q: 9, b: 3, p: 1, o: 1}. Give prob of sequence eq.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2288 + 442. Let y = 11005\/6 + k. Let o = 57511\/12 - 4783. What is the common denominator of o and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 41976, 42083, 42188, 42291?\n\"Answer: -m**2 + 110*m + 41867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 9:22 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-45) - (396\/56)\/11. Let q = -339\/8890 - 3\/635. Let v = x + q. Which is the nearest to v? (a) 4 (b) 2\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 547 (c) 60 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.2 - -1.54. Let g = s + 0.26. Let p = 299 + -599\/2. What is the second biggest value in g, p, 0.01?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c + 39\/2*c**2 + 1\/20*c**5 + 1\/6*c**3 + 1\/12*c**4 + 0. Is v(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 32. Suppose 30 = y + 5*d, r*y + 2*d = 139 + 11. Suppose -5*k + 4*q = -33, -2*k - 3*q = q - y. Solve -5*m = 4*o + 22, -o + k - 2 = -5*m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -l + 4*l. Let h be -4*1*3\/(-6). Suppose 3*z + 2*j + l = -h*j, 3*z = -j - 11. Which is the second biggest value? (a) 0.2 (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - 4540?\nAnswer: -4546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q - 21 = 23 + 138 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -47 divided by -1\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-11 - -5) - 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.023 - -2.03691. What is n rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**4\/12 + 2*h + 2662. Let s(o) = -3*o**3 + 2*o**2 - 4*o - 3. Calculate -2*q(r) - s(r).\nAnswer: 3*r**3 + 4*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010 rounded to the nearest 100?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2589 divided by 5449.\nAnswer: 2589\/5449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 88 (c) 113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-9))\/(-2 + 10\/9)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -5*o. Suppose -4*b - l = o, -2 = 3*b + 3*l + 7. Let q(y) = 340*y**2 + 2*y - 1. Let n be q(b). What is the highest common divisor of 31 and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-3 + 3 + sqrt(56)\/sqrt(32))**2 - (4*sqrt(168))\/(-2*sqrt(54)).\nAnswer: -41*sqrt(7)\/3 + 211\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1474752 and 553032?\nAnswer: 4424256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367176*u**3 - 8745*u**2 + 0*u + 0*u + 367160*u**3 + 8745*u**2.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*232.284.\nAnswer: -464.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1765*z**3 - 9*z**2 - 252*z - 46520470 wrt z.\nAnswer: 5295*z**2 - 18*z - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-3\/8)*n*n*(n\/n**(-2\/5))\/n)**(-50\/9) assuming n is positive.\nAnswer: n**(-605\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 8 = -7*w. Factor 1\/4*f**4 + 0 + 1\/4*f**3 + 0*f**w - 1\/2*f**5 + 0*f.\nAnswer: -f**3*(f - 1)*(2*f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 299, 695, 1245, 1943, 2783?\nAnswer: 3759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -219*n - 219. Let a be q(-1). Let y(s) be the second derivative of 1\/16*s**4 + 0*s**2 + 9\/80*s**5 - 1\/4*s**3 + a - s. Factor y(c).\nAnswer: 3*c*(c + 1)*(3*c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (356\/890)\/(72\/(-14)). Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**3 - h**2 - 5*h + 3. Let s be c(3). Suppose 279 = 3*r + s. Let k = r - 36. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -434407, -434413, -434429, -434461, -434515, -434597, -434713?\nAnswer: -434869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 371520193 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 11*z - 10. Determine t(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvbbbbobbbbbbbbb. Give prob of sequence vo.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m**5 + 178*m**4\/11 - 92*m**3\/11 + 2*m**2\/11 = 0.\nAnswer: 0, 1\/44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -157*h + 161*h + 44 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(3\/7)*h))\/h**(-1\/10)*h**(-2\/21)\/h**1)\/(h**(-7)*h\/((((h*h**(-1\/3))\/h)\/h)\/h)*h*h*h**(-5)\/h*(h\/(h*h*h**(5\/3)))\/h) assuming h is positive.\nAnswer: h**(2081\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/4)\/g**(-6\/5)*(g**(2\/57)*g)\/g**(-10\/7) assuming g is positive.\nAnswer: g**(35221\/7980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2990\/70 - (-4)\/14. Let d = 77 - p. Suppose -31*u = -d*u + 78. Is 26 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/8 and 65\/12998823.\nAnswer: 103990584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y - 2 + 2*y + 5 - 6*y**2 + y**3. Let u = 22 + -17. Calculate t(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32 or -100\/3?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + t - 8, 10 = -x + 3*t - 7*t. Suppose 8*w + 86 = x*w. Let j = w - -71. Calculate the highest common factor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 551*g**4*x - 2*g**3*x - 3*g**2 + 24*g*x + 6*x wrt g.\nAnswer: 13224*g*x - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -11*q - 3. Let p be i(-3). Suppose 0 = 2*n - p. What is the remainder when n is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 156849, 156817, 156759, 156675, 156565, 156429, 156267?\nAnswer: 156079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 58?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -194 - -194. Suppose 5*j - 2*t + 2 - 26 = h, 0 = j - 4*t + 6. Let a = 0.26 - -0.04. What is the third smallest value in -4, j, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 7. Suppose o = 2*k + c, c + c = 0. Let f(g) = -5 + 5 - k*g. Let r(n) = 2*n. Calculate f(r(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = -12. Suppose -3 = -5*w - h*p, -8*p + 4*p = 12. Suppose 0*f - 4*f = -8, 3*a - 3*f = 0. Solve -w*c = 4 + a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 3) + 1 - 2 - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*v. Let a(k) be the second derivative of k**3\/6 + 8*k**2 + k. What are the prime factors of a(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11331 - 12780 = -161*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*v**3 + 4*v**2 + 0*v**2 - 3*v**2.\nAnswer: -26*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a micrometer in nanometers?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 7*o**5\/20 - o**4\/12 + o**3\/2 - 9*o**2. Let j be m(-2). Suppose l = -0*l + j. Is 25 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37767824653313\/13989217492040 + 6\/612487631. Let d = 1\/4568 + n. What is the common denominator of -1\/12 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/2 (b) -123 (c) 2 (d) 0.07 (e) 5\/2 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 26058*y - 260680.\nAnswer: (y - 10)*(y + 26068)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 - 10*c + 12. Let f be g(0). Solve 7*t + f = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20423413 (base 5) to base 3.\nAnswer: -22122212012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16\/9*g**5 + 52\/3*g**4 + 0*g - 100\/9*g**2 + 40*g**3 + 0 = 0. Calculate g.\nAnswer: -5, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - -2)*(-14)\/6. Suppose 2*z = a*z + 240. Let c be 1\/(-6) + (-2696)\/z. Calculate the greatest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6))\/(22\/(-66)). Let x(i) = -i**3 - 1. Let r be x(s). Put -0.4, 5, r in decreasing order.\nAnswer: 5, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/(-120) + (-4)\/10. Let j = 3\/20 - b. Let 0*g + 0 - 1\/3*g**3 - j*g**2 = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -3*m + 2*v, -30025*v + 20 = -30023*v for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23606451 and 198.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 98, 208, 320, 434, 550, 668?\n\"Answer: n**2 + 107*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 258, 3, -7571 in descending order.\nAnswer: 258, 3, -7571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one quarters of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6806 + 10119. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -104384?\nAnswer: 104388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16263 (base 16) in base 10?\nAnswer: 90723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4\/5, -4, 3683 in descending order.\nAnswer: 3683, 4\/5, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -95.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 2*n + n + 24, 2*u + n = 4. Is 14 a factor of 308*(-1 - 27\/(-24))*u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 24*q**2 + 331*q + 2002. Does 2 divide z(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(77)\/(sqrt(35)\/sqrt(5)))*-6.\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5790 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 + v + 1. Let u(a) = 9*a**3 - 4*a**2 + 4*a + 6. Let z(q) = 5*m(q) + u(q). Calculate z(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 187 and 7038?\nAnswer: 77418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkpkpkkkkpkppkkkkk. Give prob of picking 2 k.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -361, -1\/4, 13, -0.1, -440 in increasing order.\nAnswer: -440, -361, -1\/4, -0.1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 490.892 + -247.306. Let t = g - 243. Round t to two decimal places.\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 405*s + 223648. What is i(-552)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + s - 7. Let x = 7 + 0. Let j = x - 2. Is g(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -606\/11, -2\/5, 3\/4 in increasing order.\nAnswer: -606\/11, -2\/5, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2474, 2476, 2478?\n\"Answer: 2*b + 2472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006960425009 rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 8*c**2 + c - 5. Let d be i(8). Suppose -d*f + 6 = -z, 4*z - 4*f + 3 = -5. Solve -9 = -l + 2*a - 0, 2*l + 5*a = z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1272 or -1270?\nAnswer: -1270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/4, 7\/3, -1, -3 in decreasing order.\nAnswer: 7\/3, 7\/4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1699 rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(19 - -1))\/(6\/(-545)) and 19\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-6) + (-59)\/(-3). Let f be ((-2)\/3)\/(2\/(-12)). Let w be (-2 + 1*f)*1. What is the highest common factor of w and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 10*q - 24 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 141 + 63 - t - 203. Let d(b) = -5*b**2 - b + 1. What is d(u) - v(u)?\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3457\/3 + -4611\/4. Put -1, -58, y in descending order.\nAnswer: y, -1, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-232)\/1160*30\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2641 - 1.7359. Let u be 0 + (-7)\/(-5) + -1. What is the nearest to 1\/3 in j, u, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6251 and 3062325.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.01 (b) 2 (c) -5\/2 (d) -1 (e) -36 (f) 11\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*d**2*s**2*w**2 + 5126*d**2*s*w + d*s*w + 1106*s**3*w**2 + s**3 wrt w.\nAnswer: -16*d**2*s**2 + 2212*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5161*s**2. Let b(j) = 5807*j. Determine b(y(f)).\nAnswer: -29969927*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 36*x**2 - 542*x + 28026. Calculate t(40).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3))**(-28)*z**(-1\/5)\/(z**(-9)*z) assuming z is positive.\nAnswer: z**(-163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 258d (base 14) in base 9?\nAnswer: 10035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4\/11 + 84*p**3\/11 + 46*p**2 + 48*p - 1120\/11 = 0 for p.\nAnswer: -35, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.76978 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -917781, -917784, -917787, -917790, -917793?\nAnswer: -917796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 4627436*m**2 + 1338325059596*m - 1338320432164.\nAnswer: 4*(m - 578429)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, p: 5, t: 5, m: 3, s: 3}. Give prob of sequence tpsz.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17282 (base 11) to base 14.\nAnswer: -8bd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-781)\/77 + 3204\/623.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 414 = -2107*y + 2038*y. What is the nearest to 2 in -7, -2\/21, y, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60.6 - -58.3. Let h = o + 2.1. What is the closest to -0.2 in 1, -1, 0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = o + 1. Suppose -4*j + 5 = -a, -o - 3 = -a - j. Calculate the remainder when 3 - (-2 - 1) - a is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2814526167 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + -3 + 2*sqrt(2))**2 + -1.\nAnswer: -20*sqrt(2) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-160)*24)\/(420\/16).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/((sqrt(8) - 2*sqrt(8))*1))\/(sqrt(10) - (sqrt(10) + (-1*sqrt(490) - sqrt(490))) - -1*sqrt(1210)).\nAnswer: -sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004809 to four dps.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(280)\/(sqrt(8)*1) - -1*sqrt(2240))\/(((sqrt(77)*4)\/sqrt(11) - sqrt(7)) + sqrt(343)*1).\nAnswer: -9*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 328771516 divided by 8651882.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2701 - 18910\/7. What is the biggest value in 2\/15, v, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, -3, 1 in descending order.\nAnswer: 4, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (77174\/4105)\/((-26)\/65)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5182?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29\/330 or 0?\nAnswer: -29\/330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2624.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 263071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 193988*x**2 - 306368*x.\nAnswer: 387976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9357 = -2425*g - 36718 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85859.\nAnswer: 23, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/10068 and 23\/20136.\nAnswer: 20136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -22547?\nAnswer: -4\/22547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 74529256.\nAnswer: 74529256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1316618 - -4?\nAnswer: -1316614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 4*s + 10 = -2*z, -3*z - 3 = 0. What is the greatest common factor of 82 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.064 + -0.564. What is the closest to 0.1 in q, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-2*1 - 1). Suppose 0 = -y - 2*v, 5*v = -3*y + 4*y + 21. What are the prime factors of (-1)\/s*(y - 32)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 18*v**3 - v**2 - v + 2. What is the remainder when 69 is divided by o(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -115 + 161. Calculate the remainder when q is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 10487 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcxtmlj. What is prob of sequence tm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 17*x**2 + 713*x + 7835. Give f(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-1 - 4) - (562 + -556)) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*r = 1, -31 = -5*x + 215*r - 212*r. Solve -11 = 2*q + x*h, 5 = -13*h + 8*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 - 64*j + 3. Let t be u(-32). Suppose 130 = t*a + 5*l, 6 + 4 = 5*l. What is the remainder when 115 is divided by a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5830 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5811556 a multiple of 316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212170?\nAnswer: 2, 5, 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*h = -h - 84, -2*h - 10 = 0. Let v = w - 25. Let f = v + 118. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2378586 * -56\nAnswer: -133200816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -2\/15, -3, -828448?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 74 = 16, -2*n = 5*p - 50. Solve 0 = 5*l + 3*z + n, -12*l + 9*l - z - 6 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + s - 10*s - 66*s**3 + 9*s.\nAnswer: -66*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 - -76. Suppose -3*j = -4*j + 4. Suppose 56 = j*b - r, x = -3*b + 4*r - 3*r + 43. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3775.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 19. Let z = -7 - -6. Let w = z - q. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 14 = 1. Let f(s) = 10*s + 7*s - m*s - 3*s. Let g(l) = -l. What is f(g(b))?\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.638 + -3.3595. Let c = y - -5. What is c rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by -2083.\nAnswer: 79\/2083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**6\/30 + 83*z**5\/15 + 163*z**4\/6 + 54*z**3 - 535*z**2. Factor p(b).\nAnswer: 4*(b + 1)**2*(b + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134 and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 4:41 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 2*w - 34 = 0, -5*w - 796 = 2*f - 346 - 556 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 12:53 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -466 or -24?\nAnswer: -466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10899 is divided by 36?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 g when four letters picked without replacement from gtttgttg.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2650 and 318?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/9, -0.02, 8.3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 1, 2\/19, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2573*d + 1805. Let y(u) = -2569*u - 1806. Let w(o) = -5*i(o) - 4*y(o). What is the first derivative of w(b) wrt b?\nAnswer: -2589","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*m = -5*m - 8750490, 5*j + m - 8750505 = 0. Round j to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-7125)*12*160\/64?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(208) + 2*(sqrt(208) - (sqrt(208) + -1)))**2*-3 - (sqrt(26)\/(sqrt(14)\/sqrt(7)) - (1 + sqrt(325))**2)))*1.\nAnswer: -314 - 39*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 121?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -p - 0*p + 244, 0 = -3*i - 5*p + 142. Let y = i + -24. Solve 0 = -5*h - 0*h + y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7, 21, 45, 79, 123?\n\"Answer: 5*k**2 - k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2734, 2, -781, -13.\nAnswer: -2734, -781, -13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247751395 to the nearest integer?\nAnswer: 15740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f - 12 = -4*j, 0 = -2*f. Solve -j*a = 63 - 69 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11238*w + 19 + 59 = -11277*w. Sort w, -1, 2, 6, -3 in descending order.\nAnswer: 6, 2, -1, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**4 - s**4 - 3*s**3 - 3*s**4 + (0*s + 0*s + 4*s**3)*(s - 2*s - 2*s).\nAnswer: -11*s**4 - 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 1:12 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2 - -56673638686882.\nAnswer: 56673638686884.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12461367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12254 - -12862. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 4*x + 7. Let j be u(-5). Suppose -4 = -i + j. Suppose -9 = 3*c - i*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/5, 541, -1, -67?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2 (c) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, 5, -393, 0 in ascending order.\nAnswer: -393, 0, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9968\/165 + -96\/55. Let d = -60 + a. Suppose -p = p. Are p and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c - 7 + 29 - 20 in the form r + m*c and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1663.4 + 1663. Which is the third smallest value? (a) -4 (b) 5\/8 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998 is divided by 948?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**3\/6 - 2*p**2 + 2*p. Differentiate z(l) with respect to l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 0)*(1 + 0 + 1) + 3 - 2 + 4)*(d - d + 3*d**3)*(-2*d + 10*d**2 + 5 - 14*d**2 + 3*d).\nAnswer: -12*d**5 + 3*d**4 + 15*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1569*b + 262*b - 10456 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 80, 319, 886, 1919, 3556, 5935?\n\"Answer: 23*d**3 + 26*d**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a = 4. Suppose 4 = t - a*q + 8, -2*q + 2 = 5*t. Suppose -c + 3*m + 14 = -133, 5*c + 4*m - 678 = t. What are the prime factors of c?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, i: 3, c: 1, r: 6, a: 1}. Give prob of picking 3 a and 1 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 689926 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*((y**11\/y*y)\/y)\/y)\/y)**35\/(y*y*(y*y**(-1\/3))\/y*y*y**(-3)) assuming y is positive.\nAnswer: y**(946\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 2:47 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62164801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*y + 35*y = -105. Calculate the remainder when y is divided by (-1 - -11) + 3 + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169828918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -62*u + 897. Give h(15).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 173*b + 46. Let p be m(16). Suppose -1369 = -5*x + z + 2131, -4*x = 2*z - p. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -9*q - 4. Let y(s) = -7*s - 1. Let o(f) = -2*x(f) + 3*y(f). Determine o(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387067.\nAnswer: 23, 16829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/30 + 13\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 74 = -9*f. What are the prime factors of f?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one fifths of a meter?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 8*y**2 + 21*y - 2. Let z be d(10). Calculate the highest common factor of z and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 398975\/64 + -6234. Find the common denominator of q and 67\/40.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 222417590?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 2. What are the prime factors of h + (3 - 2)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**4\/5 + 22024*a**3\/5 - 44036*a**2\/5 + 22016*a\/5 = 0.\nAnswer: 0, 1, 5504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3647.321 millennia?\nAnswer: 43767852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/21)\/((-98)\/615363). Suppose 15*o + 7094 = -10846. Let u = o - c. Which is bigger: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 (base 7) in base 2?\nAnswer: 10100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1)*a\/a**(4\/7))**(5\/4) assuming a is positive.\nAnswer: a**(85\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 8*k**3\/3 - 83646*k**2 - 2826024*k - 2072466 = 0.\nAnswer: -33, -3\/4, 31401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 5*h**7\/3 + h**6\/15 + h**5\/20 - 3293*h**4\/12 - 3056*h. What is the third derivative of t(q) wrt q?\nAnswer: 4200*q**2 + 48*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6300 + -6282. Solve 0 = 10*u - 8 + k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -235 + 239 + (11 - 0) + 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/565800 and -7\/89148.\nAnswer: 182753400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 331 - 144. What are the prime factors of h?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0.2. Let d(g) = -3*g + 11. Let z be d(-10). Let q = -163\/4 + z. What is the closest to 0.3 in q, w, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3722242.1299 + -3722444. Let t = a + 55.87262. Let n = t - -146. What is n rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*y + 3, 13 = 5*y - a + 2*a. Suppose z = y*z - 24. Calculate the greatest common factor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -215078 + 5?\nAnswer: -215073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1 + 1*sqrt(1053) + (2 + -2 + sqrt(1053) + sqrt(1053) - sqrt(1053)) + -3)*-6)**2.\nAnswer: -1296*sqrt(13) + 151668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1988*d**2 - 9918*d**2 + 1999*d**2 + 1986*d**2 + 1994*d**2 + 1993*d**2.\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2))**(-9\/4)*(k*k\/((k\/k**0)\/k))**(4\/17))**(-1\/15))**(1\/4) assuming k is positive.\nAnswer: k**(-169\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 3. Let d be r(6). Suppose -25 = 71*v - 96. Put d, -11, v in ascending order.\nAnswer: -11, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, o: 10}. What is prob of picking 1 o and 3 l?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1805.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 10 = -5*n. Suppose -l = n - 4. Suppose -2*v - 2*k - 4 = 2*k, -l*k - 2 = 3*v. Solve 12 = 3*j - v*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31021132 (base 4) to base 8\nAnswer: -151136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -130596156058.\nAnswer: -130596156061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + -3?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17119947 and 1885.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 6*i + 3*i)*(10 + 5 + 9).\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110710*j**5 + 103879*j wrt j?\nAnswer: -2214200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-12))\/(2\/33). Suppose 0 = -2*q - 10 - 4. Let m = q - p. Calculate the highest common factor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2664 and 612?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c**5\/2 - 45609*c**4\/4 + 18432917*c**3\/2 + 114399714*c**2 - 97540830*c - 104255775\/4 = 0. What is c?\nAnswer: -13, -3\/14, 1, 1635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9933 + 1733 = -4*d. What is the highest common factor of 82 and d?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, w: 2, t: 2, p: 1}. Give prob of picking 1 w and 1 p.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/9)\/o)\/o*o)\/(o**(2\/17)*o))\/((o\/o**16*o)\/(o\/((o\/o**2*o)\/o))) assuming o is positive.\nAnswer: o**(2090\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -726, -1409, -2088, -2763?\n\"Answer: 2*o**2 - 689*o - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(88))\/(sqrt(32)\/(sqrt(16) - sqrt(4))).\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 9526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1226.309 * -0.046\nAnswer: 56.410214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.84098177 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*c. Let v = -0.3 - -4.3. Suppose 0 = -3*g - 2*p - 9, 6 - 43 = 5*g - 4*p. Sort v, g, c in increasing order.\nAnswer: g, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/6*(-64)\/((-3456)\/243)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l - 45 = -29*l. Which is smaller: 4 or l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + -4)*-2 + sqrt(242) + -1)**2 + (-6*(sqrt(242) - (-5 + sqrt(242) + 4) - sqrt(242) - sqrt(242)))**2 + -2.\nAnswer: -1738*sqrt(2) + 35173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -20, 0 in decreasing order.\nAnswer: 4, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 222653925*g.\nAnswer: -3*g*(g - 74217975)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002675 to 5 decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2709.0813 - 180843\nAnswer: -183552.0813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 8) + (9 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/101429991?\nAnswer: 2\/101429991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 5 + 7)*(t - 6*t + 2*t) + 0 - t + 0.\nAnswer: -46*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -347 - ab?\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 bigger than 465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 34 = 92. Let t = n + 51. Calculate the highest common divisor of t and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 36*f**2 + 637*f - 22. Calculate i(13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3000 by 52.\nAnswer: 750\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -360*i - 1874. Let x be n(13). Is -6553 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/10 + 136\/1. Let v = -80 + m. What are the prime factors of v?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 513 and 1323.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608 is divided by 202.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/11 greater than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*t + 156*t - 385*t - 552 = -133*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 5*z - 11. Let k be f(6). Suppose 5*c + 3*t + 7 = -15, 4*t = -4*c - 24. Sort c, k, 0 in increasing order.\nAnswer: k, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-6)\/4 - -1)*714\/(-210) and 0 + 95\/(-2) + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - s - 10. Let l = s + -2. Let o(f) = f**3 + 4*f**2 - 2*f + 1. Let r be o(l). What is the greatest common divisor of 45 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*r - 10, -n + r + 14 = 3*n. Solve 0 = y - 5*p + 22, -8 = -y - y - n*p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 6) in base 10?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = 5*r - z + 5*z, -4*r - 4*z = -220. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-6*n + n + 0*n) + (12 + 1 - 4)*(n + 0*n - 2*n) + 3 + n - 3.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 13*p**5 + 54*p**4 - 31*p**3 - 136*p**2 + 84*p + 16 = 0?\nAnswer: -4, -2, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -21.5. Which is the nearest to 1\/2? (a) -0.2 (b) g (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1104 = 14*j. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 484048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + t + 877, -5*x + 4*t + 788 = -1403. List the prime factors of x.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2. Let v(w) = 1429*w - 1. Give s(v(a)).\nAnswer: 2042041*a**2 - 2858*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -3, 405.\nAnswer: -5, -3, 5, 405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 119\/171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 4.2. Let z = 371181\/46990 + 4\/4699. Let o = 15\/2 - z. What is the closest to o in -0.2, 3, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yiiiyiy. What is prob of picking 1 y and 1 i?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6548 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1\/26*98\/(2401\/49).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 321, 481, 641?\nAnswer: 801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -16*f - 11. Let c(n) = -3*n - 2. Let l(w) = -22*c(w) + 4*r(w). Let y(j) = 0*j + 0*j - 6*j**2. What is y(l(s))?\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*j + 52 = 0. Let w(k) = k - 19. Let a be w(j). What is the least common multiple of 2\/a + (-40)\/(-12) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/7384543?\nAnswer: -2\/7384543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**5\/20 + 2*s**4\/3 - 2*s**3 + 13*s**2\/2 - 23*s. Let p be n(6). What is the highest common factor of 65 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.4 + -0.4. Let a = -2 - s. Let u = -26\/23 - -228\/161. What is the closest to -3 in u, a, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-275)\/35 - 66\/(-77). Put 5, p, 10 in descending order.\nAnswer: 10, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43593 is divided by 793?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -61.32.\nAnswer: -613.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-28 + 13 + -5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (216\/(-10))\/((-765)\/850)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*6\/20.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*t - 120 = 3*t, 5*a + 2*t + 111 = 0. Let r = a - -31. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1133 + -1133. Let s be 4\/5*2\/(-4). Which is the closest to 0.3? (a) z (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 18557*s**2 - 18557*s**2 - 1.\nAnswer: 2*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 115 - 117. Put -5, 15, 2, c in descending order.\nAnswer: 15, 2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c**3 + 11*c**2 + 8*c + 10. Let z(f) = 5*f**2 + 16*f**3 - 3*f**3 + 4*f + 5 - 10*f**3. Let t(x) = 4*v(x) - 9*z(x). Is t(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide -13 + 580\/30*36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1458968.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*p - 18 = 0, -19*h - 5*p = -16*h - 29. Let n be (48 - -9)\/(7*1). Which is bigger: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 495693, 494736, 493779, 492822?\nAnswer: 491865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3306*x - 207*x**2 - 1103*x - 1105*x - 1098*x.\nAnswer: -207*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 12:31 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/236953 and 91\/10?\nAnswer: 2369530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 < -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 + 1604 - 1604.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 132 = 2*i - 2*f, -4*i - f = -278. Suppose -i = -10*v - 40. Solve -5*q - v*b = -8*b, q - 3*b - 6 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 45616499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1424.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 5. Let h be n\/16 - (-2)\/8. Let v be 2 + 12\/(-7) + h. Which is the third smallest value? (a) v (b) -2\/5 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 1 - 5. Calculate the remainder when z\/4*8 - -39 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*sqrt(12)\/sqrt(6)*-1 - (sqrt(14)\/(sqrt(49)\/sqrt(7)) + 0)).\nAnswer: -4*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/5 - 1453354*s**3 - 8800986194298*s**2\/5 - 3553031468170343686*s\/5 + 7106098140343598756\/5.\nAnswer: -2*(s - 2)*(s + 1211129)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -4. Let c = 0 - -5. Let o be -3*((-3 - 0) + 4). What is the nearest to -1\/5 in k, c, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 + -10 - 17) + -8 + 1 + (2 - 32).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 422 divide 121435564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5807589267983 + 0?\nAnswer: 5807589267983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 50*w**2 - 54*w + 5. What are the prime factors of m(-24)?\nAnswer: 31, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 386013843 to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127883*a**4*x - 3*a**2*m*x + 2*a**2*m + a*m*x - 2*a - 7*m*x - 3*m - 878 wrt a?\nAnswer: -1534596*a**2*x - 6*m*x + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*p - p + w, 0 = -p + w + 9. Suppose -p*d = -178 - 37. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 129*o**3 - 1287 - 101*o**3 + 704 in the form t*o**3 + v*o**2 + z*o + m and give t.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25403830 is divided by 76?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 3*u + 2. Let t be v(3). Suppose t = -3*b + 4*b. Suppose k + k - 3*r = 7, -9 = -2*k + r. Solve b*y - k*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*3092324\nAnswer: -9276972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 11*m + 12. Let k be f(-10). Let v = -10 + k. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -457b1 + 4c?\nAnswer: -45763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7303 (base 8) in base 16?\nAnswer: -ec3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.8599 to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-345)*(-4)\/(-10))\/((-56)\/(-9240)*44)\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from ztivvne?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 7, k: 4, j: 1}. What is prob of sequence kt?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 90 = -s. Let y = 5 - 27. Calculate the remainder when (0 - y)\/(2\/3) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 3*r - 20, -218*x + 222*x = 3*r + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17896249 - -30739618. Let p = a + -40043369. Round p to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*p + 152*p = -72*p + 1740 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1 + 3. Let x = 161.3 - 173. Let k = x + 11.7. Sort k, n, 4, -10.\nAnswer: -10, n, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 14*g**2 - 6*g - 18. Let z be k(-14). What is the second derivative of -z*x**5 - 68*x**5 - 7*x + 68*x**5 wrt x?\nAnswer: -1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*m + 14*m + 4713. Suppose m = a + 226. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/4 (b) 1 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/9 + (-2)\/(-6). Let v(c) = 7*c - 5. Let z(r) = 8*r - 5. Let n(k) = 7*v(k) - 6*z(k). Let s be n(a). Put 0, 5, s in decreasing order.\nAnswer: 5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(0*w + 5*w - 2*w)*(-40*w - 236*w**2 + 483*w**2 - 251*w**2 - 1).\nAnswer: 12*w**3 + 120*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -142*s. Let b(r) = 4*r - 11. Give b(v(t)).\nAnswer: -568*t - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23429432?\nAnswer: 2, 13, 19, 71, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4 - 1 + 9 - 3. Let q(d) = -d - 4. Let a be 15\/(-3) - (1 + -5). Give a*q(k) - 2*c(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = -3*a - 2*x, a - 2*x + 198907 = 199064 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efddtfppptdfffo. Give prob of picking 2 p and 1 t.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y + 1. Suppose 608 = 5*w - 4*l, -4*l = -5*w + 3*l + 599. What is the remainder when w is divided by c(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z - 5. Let a(b) = -13*b + 10. Let l(i) = 2*a(i) + 5*p(i). Suppose -48 = m - 57. Let q be 63\/m + (-3 - -1). Give l(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0 (b) 2 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 138 = 5*s - 2*u, u + 37 = s. Let f be (-52)\/7 + (-8)\/14. Let x be (f\/(-10))\/((-2)\/(-10)). Calculate the highest common divisor of s and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000094852903 rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from httvuhvvbubvvr. Give prob of sequence bu.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*t**3 + 58*t**3 + 102317*t**4 - 102315*t**4 - 2*t**4 + 3*t**4 + 0*t**4 + (3*t**2 - 4*t**2 + 0*t**2)*(1 - t**2 - 1).\nAnswer: 4*t**4 + 105*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2851473 is divided by 103.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(8)\/sqrt(2)) - (0 + sqrt(343)))**2*4 - 5*(0 + sqrt(1792))**2.\nAnswer: -7952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.5 - -5.9. Which is the smallest value? (a) f (b) 4 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c + 0*c - c + 5*c + 30.\nAnswer: 10*c + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4572 is divided by 199.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4698.89892 rounded to 0 decimal places?\nAnswer: -4699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 54 = 5*z. Let n = -2878 - -2882. Is n bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*(t\/(t*t**8))\/t*t*(t*t\/(t\/(t**(-12)*t)*t))\/t*t)\/((t\/t**(2\/35))\/t**0) assuming t is positive.\nAnswer: t**(-628\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3)*(-7 + -17). Let r be (-6)\/9 - x\/(-6). Let t be 1\/(-2) + 11\/2. Which is greater: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -1886?\nAnswer: -1886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**4 + 5*w**3 - 6*w**2 + 5*w - 5. Let t(v) = v**4 + v**3 + v - 1. Let m(i) = -s(i) + 5*t(i). What is the third derivative of m(x) wrt x?\nAnswer: 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1287580 and -29\/340.\nAnswer: 1287580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2\/9 - 1372*b\/9 - 45952\/9 = 0. Calculate b.\nAnswer: -32, 718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86.1404 + 7.2074. Let b = k + 79. Let r = -0.06700062 + b. Round r to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 227080 by 22.\nAnswer: 113540\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2188048066 + -42775.\nAnswer: 2188005291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 + 1767273456844\nAnswer: 1767273456844.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4)*806\/31. Suppose -16*l + 6 = -o*l. Suppose 4*d + 4*c = 292, 5*d - 118 - 241 = -l*c. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -8. Differentiate -20*k**2 - 3*k**3 - 1 + 20*k**p wrt k.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 53 + 34?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + 9*q - 1. Suppose 0 = 2*h - 2, 5*z + 16*h - 23 = 18*h. Let f(b) = 3*b**2 - 17*b + 2. Give z*o(m) + 3*f(m).\nAnswer: -m**2 - 6*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -331232 divided by -5.\nAnswer: 331232\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1\/7, -0.47, 11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdddtdstn. Give prob of sequence ts.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1867, 1569, 745, -869, -3537?\nAnswer: -7523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256223.\nAnswer: 11, 23293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-8\/3)\/(s\/s**(-4\/11)*s)*(s**(-2\/3))**(1\/20) assuming s is positive.\nAnswer: s**(-557\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*n - 1 = 3*n, -4*n = -5*j + 45. What is the remainder when 49 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 771084 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 147075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -2603.\nAnswer: 9\/2603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4142235 divided by 1\nAnswer: -4142235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 divided by -681?\nAnswer: -92\/681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ccwcwc?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1134)\/(-1539)*(-570)\/90.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 1. Let z(f) = 0*f - 4*f + 7*f + 9. What is 9*y(n) - z(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 - 78. Suppose -3*u - 2*u - 18 = -3*x, 4*u = 2*x - h. Let b be x + 2\/(-4)*2. Solve b*o - 4 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 141\/1540 and 67\/1540.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-5 - (-1 + -5)). Suppose 2*g - 68 - 118 = h. List the prime factors of g.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + 0 + -38 + 43 + 8 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 577467720?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.58 and 5215?\nAnswer: 3024.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + 6. Suppose 2*z + 2 = n - 7, 2*n - z - 6 = 0. Let s = l + n. Solve -2*u - 2*u = s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 18*q**2 + 4*q - 3. Give v(18).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/87432 and -77\/10.\nAnswer: 437160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44157 and -10.2079827.\nAnswer: -44167.2079827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -94107 divided by -29?\nAnswer: 94107\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 88455?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3296 is divided by 2555?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2\/13 (b) 2\/5 (c) 1\/2 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - ((-10)\/15)\/(10\/135). Solve 0 = c - 5*c - 4, -14 = h*m + 2*c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 761*a - 75815. Determine m(99).\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 145340 a multiple of 438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7121459729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 6 = -o, 2824*o - 30 = 2829*o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*(-6)\/45*-3. Let h be (1 + 4\/8)*y. Let o(l) = -3*l - 3. What is o(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1575 and 288575?\nAnswer: 2597175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2317 + -2094. What are the prime factors of y?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = b + 8, -5*c + 0*b + 9 = -b. Let a = c + 1. Suppose 0 = 2*o - 3*p - 3, 15 = o - 0*o + 3*p. Calculate the remainder when o is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 20190568.\nAnswer: 383620792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.8 - -7.799896. What is n rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**4 + 2*s**4 - 4*s**4 + (0*s**2 + 0*s**2 + 5*s**2)*(5*s**2 + 3*s**2 + 2*s**2).\nAnswer: 51*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vldhsxdx. Give prob of sequence dhl.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4 - 9128*q**3 + 190846*q**2 - 181720*q = 0. Calculate q.\nAnswer: 0, 1, 20, 4543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Express 93*h**2 + 39*h**2 + 4*h**2 + (h - 1 + 1)*(5*h - 5 + 5) - h**2 + 2 - 6*h**2 + h + 4*h**2 in the form t + z*h + w*h**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.22 - -0.18. Let w = -1.3 + 1.9. Let r = n + w. What is the closest to 2\/7 in 0.5, r, 4\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-5)*(1 + -2). Suppose 4*l - 1021 = -h*l - 5*x, l - 257 = -3*x. Calculate the remainder when l is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006497 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -684346 - -63896095?\nAnswer: 63211749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(66)\/sqrt(6) + -4)**2*-5.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12202 (base 3) to base 7.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*w + 16 = 3*w, 4*r = 4*w + 32. Solve 5*c - 8 - r = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 35*k = 1631 - 2672 - 2487 for k.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(8)*-1 + sqrt(16)\/(sqrt(6)\/sqrt(3)))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -449\/5, 2, -12\/23, -0.8?\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 + 3*y**2 + 9*y**3 - 6*y**3 - y**4 - 3*y.\nAnswer: -3*y*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85686061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207702*-2236.\nAnswer: -464421672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/15)\/((-3)\/(-10)). Suppose 5*u = 15 + 10. Suppose 10*o - u*o = 0. Sort -2, s, o in decreasing order.\nAnswer: s, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-5)*((-1)\/471)\/((-299)\/1495).\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012691239 rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*l + 718 - 627 - 316 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -12. Calculate the greatest common factor of a and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g - 354 = 9*y + 34*g - 15*g + 12*g, -2*y - 2*g - 30 = -6 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + -2 - -12) + 1 + 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 4039?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5*k = -4*v - 4, -k - 2 = 2*v. Suppose -x - 2*x = k, 5*j - 5 = 5*x. Which is smaller: j or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 482\/8 - (-5)\/(-20). Suppose -6*r + 7*r - 5*w = -49, r = 3*w - 41. Let i(b) = b + 44. Let l be i(r). Calculate the greatest common factor of x and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -71*i + 11. Let m be p(12). Let n = 12333\/4 - 3098. What is the common denominator of n and (-2)\/14 - m\/(-140)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -6*s + s. Suppose 705 = 4*f + 5*o, 4*o + 3 = -9. Suppose -5*q + f = 4*q. Is q greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 521074?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 2 in decreasing order.\nAnswer: 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 7:00 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.460090999 rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 68*a + 146. Determine j(1).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2327.7 to the nearest 10.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 12. Let h be 6 + -3 + (3 - 3). Put h, -1, t in decreasing order.\nAnswer: h, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6453036 is divided by 110.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 151630818*z - 151630420*z - 4.\nAnswer: 398*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from wwjwjjw?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93*x**6 - 2*x - 295*x**6 - 61*x**2 + 42*x**2 wrt x.\nAnswer: -46560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**7\/840 - z**6\/90 - z**5\/24 + 5*z**4\/24 + 2*z**3\/3 + z. Let g(c) be the second derivative of q(c). Give g(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 959 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 + -40. What is the second derivative of -2*x - 17*x**3 + p*x - 13*x wrt x?\nAnswer: -102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -26*j + 15 + 38 + 36 - 26. Give l(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = m - 1293 - 66526, -5*h = -6*m + 406966. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4259 divided by -2?\nAnswer: 4259\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 159 = 102. Suppose -63 + f = i. Calculate the remainder when i\/15 - (-5)\/(-25) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**8\/56 - n**5\/60 - 4*n**2. Find the third derivative of w(h) wrt h.\nAnswer: -360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -2*d**5\/5 - d**3\/6 - 59*d**2. What is the first derivative of a(v) wrt v?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 3*x**3 + 0*x + 0 - 18*x**2 - 1\/480*x**5 - 1\/48*x**4 + 1\/1440*x**6. Let g(c) be the first derivative of n(c). Factor g(t).\nAnswer: (t - 2)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56.7 - 57. Let n = -0.04 + 2.04. Sort -3, h, n in decreasing order.\nAnswer: n, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6085271*b + 21641301 with respect to b.\nAnswer: 6085271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179855, -359706, -539557, -719408, -899259?\nAnswer: -1079110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*v - 1 + 18*v + 7*v**4 + 6 + 4*v - 2*v**2 to a*v**3 + s*v**4 + o + p*v + y*v**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3596736 and 2724800.\nAnswer: 89918400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(28\/3) + (-44)\/28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3743 and 2561.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3)*(1 + 2). Let w(v) = -v**2 - 6*v + 10. Let b(q) = q - 1. Let k(t) = p*w(t) + 3*b(t). Calculate k(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83\/104 - 12\/13. Suppose 4*t = 7*t - 3. Suppose -3 - t = -w. What is the third biggest value in w, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-6))\/(85\/(1785\/252)). Determine z so that 17\/12 + y*z**3 + 19\/12*z**2 + 35\/12*z = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - 12. What is the tens digit of 123\/11 - t\/(-209)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, a: 1, l: 3}. Give prob of sequence lxl.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4256 and -2.7.\nAnswer: 11491.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -30.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 13 + 100 + 44 = o, 0 = -4*y + 5*o - 57 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 4. Let r be y(3). Suppose 0 = 3*k + 8 + r. Let a(u) = -2*u + 1. Calculate a(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(891) + -2 + 5 + -3*((sqrt(891) - (sqrt(891) + 0))*5 - (5 + 2*sqrt(891))) + 4)**2.\nAnswer: 2448*sqrt(11) + 57313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 514?\nAnswer: -2570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*p + 101*p - 417*p + 14400 = 0 for p.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 2)*-2 - (-9)\/(-2). Put t, -1\/4, -1\/7, -4\/5 in decreasing order.\nAnswer: -1\/7, -1\/4, -4\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-1\/25)*k)\/(k**(-22)\/k))\/(k**12*k\/((k\/k**(-3\/4))\/k*k)) assuming k is positive.\nAnswer: k**(1471\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b = -14*b + 24. Let y = b + -6. Suppose -2*z - y*x = -24, 2 + 4 = -2*z + 4*x. Sort z, -4, 1 in increasing order.\nAnswer: -4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 108 (b) -0.4 (c) -31957\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-1)*o)*o)\/(o**(1\/18)\/o))**47 assuming o is positive.\nAnswer: o**(-47\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 9:48 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2811322587?\nAnswer: 3, 227, 499, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 27. Let l(y) = 1065*y - 1173. Let n(z) = l(z) - 4*m(z). What is the first derivative of n(r) wrt r?\nAnswer: 1069","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i - 2. Let w(z) = -z + 1. Give -n(u) - w(u).\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 7. Let u(w) = w**2 - 6*w + 11. Let y be u(5). Let j(c) = 5 + 7 + c - y. Give -4*j(i) - 3*l(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 861, 2874, 6777, 13200, 22773, 36126, 53889?\nAnswer: 76692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -5, 0.\nAnswer: -18, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + 11 + (4 - (-6 - -18)) + 10\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6290, 26064, 59384, 106250, 166662, 240620?\n\"Answer: 6773*g**2 - 545*g + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s - 2*s**2)*(-4*s - s + 3*s)*(s - 2*s - s).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Suppose -4*h = -g + h - 10, -g = u*h - 4. Solve 4*l - 4 + 0 = g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*m**4*y - 2*m**2*y + 15*m + 4317*y wrt m?\nAnswer: 36*m**3*y - 4*m*y + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 0. Suppose -4 = 2*j - 5*j + 4*b, -3*j - n*b = -22. Let h(f) = -f**2 - 6*f - 1. Let u be h(-6). Put j, u, -4 in ascending order.\nAnswer: -4, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 21*c - 8*c + 0.\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**4\/7 + 24*t**3\/7 + 36*t**2\/7 - 16*t\/7 - 48\/7 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**5\/4 - 261*b**4\/4 - 6057*b**3\/4 - 16635*b**2\/4 - 4032*b - 1323.\nAnswer: -3*(b + 1)**3*(b + 42)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*g - 12 = 0, -5*n + 9*g = 10*g - 22. Which is the nearest to n? (a) 3 (b) 2\/17 (c) 0.05 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = 5*m + 10. Calculate the common denominator of -111\/70 and 36\/(-45) - m*(-262)\/(-60).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6*-1)\/(-3*(-2)\/(-3)). Suppose -3*h + 0*h - 27 = m*g, -g + 2*h = -3. Let j(k) = -k**2 - 5*k - 5. Give j(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -3, -0.1086, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 346.30034 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibur when four letters picked without replacement from {i: 2, r: 3, u: 1, l: 3, b: 1, j: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 + 1.8. Let j = 0.4 - z. Let t = -13 - -12.9. Which is the smallest value? (a) j (b) t (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 4 = -2*p, -800*b = -p - 803*b + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h + 115. Suppose 2*g - 5*y = 76, 5*g - 2*y - 136 = g. Is 8 a factor of v(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 72259, 72320, 72381, 72442?\n\"Answer: 61*y + 72198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -1314*x**6\/5 - 2829*x**2\/2 - 1155*x - 5. Find the first derivative of a(t) wrt t.\nAnswer: -31536*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-22 - -27))\/(-70).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.42381 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 1\/8, -98, 7 in descending order.\nAnswer: 7, 1\/8, -2\/15, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11491799 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1130 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p + 0*p**2 + 3\/2 - 3\/2*p**4 - 3*p**3.\nAnswer: -3*(p - 1)*(p + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 13*y + 17. Let f be k(-12). Let b(v) = -2*v**2 - 5*v + 3. Let h(l) = l**2 + 4*l - 2. Calculate f*h(r) + 4*b(r).\nAnswer: -3*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/73 + -361\/146. What is the fourth biggest value in d, 3\/31, -1\/9, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378921 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.743708 years to centuries.\nAnswer: 0.07743708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -418*i**2 + 241*i**3 - 245*i**3 + 433*i**2 - i**4 + 1 + 2*i in the form t*i**3 + k*i**2 + j*i**4 + z + d*i and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -21*h**2 + 3*h. Let x(i) = 20*i**2 - 2*i. Give -2*o(g) - 3*x(g).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 62) + 101 + 33.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 1090*n**2 - n + 389*n**2)*(3*n + 0*n - 5*n) - 2*n**3 + 13*n - 13*n as t*n + h + g*n**3 + o*n**2 and give g.\nAnswer: -2960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -37, -47, -61, -79, -101, -127?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25706289380433 less than 5?\nAnswer: -25706289380428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -1 - 0. Let w be 10*(1 - (u - -232)). Round w to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.33 + 7.33. Let h be (4\/(-5))\/(6\/(-25)). Let d = h + -4. Which is the second biggest value? (a) r (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 11968*s - 28507452.\nAnswer: -(s - 8686)*(s - 3282)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 0*f**2 + 86 - 74*f + 0*f**3 + 56\/5*f**5 + 0*f**4. Differentiate g(q) wrt q.\nAnswer: 224*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5766?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-3 - -6)) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 + 4*j + 1. Let v(b) = -b**2 - b. Let s(d) = n(d) + 2*v(d). Let m be s(-2). Let k = -1\/50 + -2\/25. Is m not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 b when three letters picked without replacement from bboobobobooo?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001060952 rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5b05a8 (base 13) to base 4\nAnswer: 20102023203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*s + 2. Suppose s*t - 2*t = 0. Let a be 65\/15*(t + 12). What is the greatest common factor of 130 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1.15, -1\/13, 3, 1\/8, 2 in descending order.\nAnswer: 3, 2, 1.15, 1\/8, -1\/13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n**4\/3 + 10340*n**3\/3 - 1671848*n**2\/3 + 417316*n\/3 = 0. What is n?\nAnswer: 0, 1\/4, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 35*y - 3. Is v(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 734.\nAnswer: 2\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 30*d**2 + 11*d**2 + 14*d**2 - 62*d**2. Let n(x) = -31*x + 1. Calculate s(n(l)).\nAnswer: -6727*l**2 + 434*l - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11052 (base 12) in base 6?\nAnswer: 252142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208384, 207382, 206384, 205390, 204400, 203414, 202432?\nAnswer: 201454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 173112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*o - 5*o**3 - 16*o)*(2*o + o**2 - 3*o**2 - 3*o).\nAnswer: 10*o**5 + 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17, 33, 49, 65, 81?\n\"Answer: 16*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/23 less than or equal to -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 7054236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 3*m - 1. Let f = -36 + 33. Let h be q(f). Let c be (10\/(-15))\/(h*(-1)\/(-27)). Calculate the greatest common divisor of c and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 16*d - 379 = 0, 49 = -5*t - 159*d + 160*d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 40\/6 + (-1)\/(-3). Let r = h + -5. Let c = 1.8 - 2.8. Which is bigger: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2859717229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7*s = -11*s + 28, 0 = s - 2. Solve -f + r*f + b + 16 = 0, 3*f + 3*b = -18 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuouu. Give prob of sequence uo.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 13*l**2 + 28*l - 12. List the prime factors of m(-8).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112600592 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 524, 2092, 4702, 8354, 13048?\nAnswer: 18784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0119225 rounded to 4 dps?\nAnswer: 0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 g when four letters picked without replacement from gaabaagbaghbbgab.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255694971?\nAnswer: 3, 7, 12175951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/12 + (-9)\/6. Let s be ((-1)\/(-1) - 2) + 10. Suppose -3*b + 0 + s = v. Solve -c = -0*c - o + 4, 0 = c - b*o + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84 + 91 - (10 - -2) - 5 - 33.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 9808403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 + 2*n. Let q = -3 + 7. Let g(m) = -2*m**2 + 3*m - 1. Let f(r) = r. Let z be f(-3). Let l(w) = q*g(w) + z*s(w). Let l(k) = 0. What is k?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**3 - w**2 + 1. Let g be f(1). Solve -3*m + 4*j + 20 = 0, 0 = -m - 7*j + g*j - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -592499*q**2 + 10*q + 16. Let b be (-15)\/(-21) - 1 - (-60)\/(-35). Let f be v(b). Round f to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.2. Let s = 74 - 69. Suppose -22*v + 47 = 3. Which is the closest to k? (a) v (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-4 - (-1 + -2)). Solve -j + 0 + s = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-3*sqrt(1425) - sqrt(1425))*-4)\/(-6*sqrt(48)*3*-2).\nAnswer: -25*sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (2\/(24\/54))\/((-3)\/(-2)) and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9438.831 millilitres in litres?\nAnswer: 9.438831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-4)\/(30 + -2)). Find the second derivative of h*d + 4*d**3 - 4*d**3 - d**3 + 0*d**3 wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 87.44822 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -164660 (base 7) in base 3?\nAnswer: -1200011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2*s = -z, -z + 3*s = -17 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 62658 divided by 23\nAnswer: 62658\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1 - ((-9 - -11) + 1)) + (1 - -14)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 94761021 less than -8.59?\nAnswer: -94761029.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 9:10 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**2 - 1. Let z(j) = -172*j + 47. Let o(h) = -22*h + 4. Let t(g) = -8*o(g) + z(g). What is t(w(s))?\nAnswer: 8*s + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 563643 divided by 3\nAnswer: 187881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-3))\/((-5)\/(-2715)). Suppose -n - 2 = -2*n. Suppose h + 699 = n*i. What is i rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 248407\/20 - 12423. Find the common denominator of -95\/16 and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*o + 40, a - 1 + 49 = 2*o. What is the tens digit of (4\/(-14) - 366\/a)*48?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*f + 9. Suppose -t = -0*w - f*w - 2, -w = -3*t + 6. Calculate the least common multiple of t and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.393 - 0.107. What is the closest to -1 in l, 20, 4\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135, -54, 19 in decreasing order.\nAnswer: 135, 19, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 + -47. Let k = 19 - w. What is the second biggest value in 19, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97486045 divided by -5.\nAnswer: -19497209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 5*b + 2. Is x(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 16*s**2 - 15*s - 2. Let p be x(1). Sort 4, 5, 0, -11, p in decreasing order.\nAnswer: 5, 4, 0, p, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*l + 4*l + 26 = 0, 0 = -2*h - l - 9. Let c(d) be the second derivative of 7\/6*d**3 - 1\/20*d**5 - 1\/2*d**4 + 7*d + 0 - d**2. Calculate c(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/(z\/(z*z**(-1))))))**(-33)*z**(-2\/21)\/(z\/z**(-5\/4)))\/((z**(-1\/4))**(-29\/3)*z\/(z*z\/z**2)*z**(1\/2)\/z) assuming z is positive.\nAnswer: z**(-221\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 786 is divided by 48.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p**2 - 2*p - 2. Let f(q) = 36*q**2 + 11*q + 11. Give -11*b(x) - 2*f(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 236 + -193 - (13 - 5)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 3*w**2 + 5*w + 5. Give m(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628603?\nAnswer: 73, 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10708589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3 = -98. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*u - 20 = 90*u + 2*k, -4*k = u + 22. Let q(s) = 43*s + 5. Let p(g) = 43*g + 6. Determine u*q(l) + 5*p(l).\nAnswer: -43*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 144*-1096\nAnswer: -157824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**3\/6 - o - 75. Let x(t) = 64*t**2 + 9*t + 9. Let b(s) = 16*s**2 + 2*s + 2. Let m(q) = 9*b(q) - 2*x(q). What is u(m(c))?\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1363 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580000000 = -5*o + 25*o. Round o to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let u be (4\/5)\/(14\/35). Let v(k) = -5*k**2 - k**u + 2*k**2 + 3*k**2. Give p(v(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 6*n**2 - 7*n + 3. Suppose -14 = -2*u - 0*u. Give z(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 10) + -8 + 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 370*a*v**6 + 18*a*v**5 + 27*a*v**2 + 5*a*v - 6*v wrt v?\nAnswer: 44400*a*v**3 + 1080*a*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 43.69600024793?\nAnswer: 45.69600024793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f - 18 - 16 - 7*f. Let x(g) be the first derivative of 9*g**2\/2 + 34*g + 61. Let q(r) = -5*t(r) - 4*x(r). Find the first derivative of q(d) wrt d.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16644)\/4161*(-2)\/(-10)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.07691, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 19\/5, 37, 61.\nAnswer: 19\/5, 4, 5, 37, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/5202 and 101\/12.\nAnswer: 10404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4818122 is divided by 98329.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11450430, 11450434, 11450440, 11450448?\nAnswer: 11450458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/12)\/(14\/21)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384 is divided by 225.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/65)\/(64\/(-2080)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-194)\/(-6) + (-40)\/30. Suppose 4*h = t + 41. 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 next in -167489, -167490, -167491?\nAnswer: -167492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 3797270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(288)*1)**2 + -3 + -2 + sqrt(2) + sqrt(4)\/sqrt(2) + 5 + -3)*-3.\nAnswer: -31095 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 36*j**2 + 2. Suppose -16 = 4*y + 2*b, 3*y + 21 + 24 = 4*b. Let a(l) = 107*l**2 + 7. Determine y*u(r) + 2*a(r).\nAnswer: -38*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d - 20. Let z be r(5). Suppose z = 3*w - p, -3*w - p - p - 10 = 0. Suppose u = -w*a + a - 109, 2*u = 5*a - 554. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33367*b - 36165*b + 72520*b)*(2 - 3 + 2).\nAnswer: 2988*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**5 - 6*w**5 - w**5 + (3*w - w**3 - 3*w)*(-w**2 + 5*w**2 - 2*w**2) + 3*w**5 + w**5 - 3*w**5.\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.14, 0, -1.\nAnswer: -3, -1, 0, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e4 + -1?\nAnswer: e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 98*z - 5274 - 18. What is the remainder when 127 is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085910447 a multiple of 5131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**3 - 3*m**2 + 5*m - 3. Let o(t) = 5*t**3 - 3*t**2 + 6*t - 4. Let z(q) = 3*o(q) - 4*y(q). Let j(i) = -i**2 + i. What is -3*j(u) - z(u)?\nAnswer: 9*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50012, -99512, -149012, -198512, -248012?\nAnswer: -297512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1686985640 and -6016.\nAnswer: 1686979624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2 = -5*q + 8, -5*q = 3*l - 8. Let n = q - 4. Let j = n - -11. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3013251 (base 7) to base 4\nAnswer: 1113002133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 14. Let b = j + -3. Find the second derivative of 10*s**2 + 3*s**3 + s + 2*s**b - 12*s**2 wrt s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 - 1217*v\/2 + 155001.\nAnswer: (v - 854)*(v - 363)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 5*y**2 - 3*y - 1. Let d(a) = -2*a**3 + 10*a**2 - 7*a - 3. Let s(q) = 2*d(q) - 5*z(q). Calculate the least common multiple of s(5) and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 - 225 = -5*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.146902ml in litres?\nAnswer: 0.006146902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (78\/117 - 22\/24)\/(-2)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - y + 5. Suppose -10 = 3*t - 5*s, 2*t + 2 = 3*s - 4. Let a be b(t). What is the highest common divisor of 15 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4377, -4378, -4379, -4380?\nAnswer: -4381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23492320.\nAnswer: 2, 5, 29, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -1166188?\nAnswer: -1166187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2 + 4 + 2*g - 3 + 6. What is the remainder when (-2)\/10 - (-4 + 924\/(-20)) is divided by o(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 11. Suppose 70 = 4*p - i*p. Let d = -7 - p. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 0)\/(-6)*(-63 + 63). Solve k = 19*n - 24*n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 less than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - 35. Let g(c) = -8*c + 2. Suppose -3*y + 7*y = -24. Let f(w) = -15*w + 4. Give m*g(k) + y*f(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4 - 205\/(-164))*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 - -104.8. Let t = 0.4 - k. Let n = t + 7.39999938. Round n to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 598016153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79 by -286.\nAnswer: 79\/286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 2 + 8*j**2 + 6*j**2 + 1.\nAnswer: 12*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 336 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-123)\/(-369))\/(3*(-1)\/(-54))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -3148d?\nAnswer: 3149a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from xhhxhh.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -311aa + -5?\nAnswer: -311b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(2299) + 1 + 2*(1 + sqrt(2299)))*-3 + (1 + sqrt(2299))*-1 + 2 + -2)**2 + -4.\nAnswer: 4840*sqrt(19) + 230380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -240\/101 + 8485\/808. What is the common denominator of g and -69\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24558)\/(-601671) - ((-4)\/(-2) + 614*(-11)\/196).\nAnswer: 65\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**5\/15 - u**4\/6 + 4*u**3\/3 - 31*u**2. Factor k(d).\nAnswer: -4*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8b (base 12) in base 7?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29886 = -24*i + 7*i. Let v = i + -1755. Let h(l) = 2*l - 6. Let r be h(6). Solve f + v = -n + r, 4*n = -2*f + 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/6 - 35054576*l\/3 + 23369717\/2 = 0.\nAnswer: 1, 70109151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = -2*h, 3*r + 0*h = -h + 11. Find the third derivative of 17*i**2 - r*i**5 - 14*i**2 - i**6 + 3*i**5 wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.4 times 0.265\nAnswer: -1.431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2375628.549 to the nearest 1000.\nAnswer: -2376000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2\/3, -38, 3\/2.\nAnswer: -38, -1\/2, 2\/3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + -11 + 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w. Let t(h) be the third derivative of -15*h**4\/8 + 6*h**2. Let g(s) = 0*s - s + 6*s. Let l(j) = -55*g(j) - 6*t(j). Give l(k(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -54 - 2126?\nAnswer: -217a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.4, -1, -2, -22148?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 5. Let f = -6.07 + 6. Let w = f + -0.23. What is the smallest value in 0.1, k, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16133187 by 949011.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5385, -10781, -16205, -21669, -27185, -32765, -38421, -44165?\n\"Answer: -2*i**3 - 2*i**2 - 5376*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -461\/4102 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*n + 114*n + 1364 = 0. What are the prime factors of n?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x + 54. Let c(f) = -10*f + 163. Let m(s) = 3*c(s) - 8*q(s). Let v be m(-27). Is 2.8 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4873, -3, 3, -1\/3, 23, 60\/19 in descending order.\nAnswer: 4873, 23, 60\/19, 3, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = -f + 5962. What is the second derivative of -n - 531*n**5 + f*n**5 + 5*n wrt n?\nAnswer: 220*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131499.\nAnswer: 3, 19, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10553104?\nAnswer: 2, 659569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -110)*(-119)\/476?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, y: 1, a: 4, i: 1, d: 3}. What is prob of picking 1 a, 1 y, and 2 g?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4))**7*(g*g**(1\/2)*g)**(-42) assuming g is positive.\nAnswer: g**(-133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 7:05 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -501635126 divided by 5?\nAnswer: -501635126\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 334700309 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -0.3. Let m be (5\/(-20))\/((-30)\/1576). Let s = 40\/3 - m. What is the nearest to 1\/3 in 1\/6, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**4 - 160423*k**3 + 160432*k**2 + 1283380*k - 1925088 = 0.\nAnswer: -160424, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 223469.03+505295\nAnswer: 728764.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32357\/7620 - -79\/762. Find the common denominator of d and (-164)\/140 + 1\/2.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-33)\/(((-9)\/(-6))\/3 - -1). Let n be (f + 0\/(-2))*44\/(-8). Suppose -n*j - 19 = -122*j. Calculate the remainder when 53 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*f - 15 - 25 = 182 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 - (-71 - (52 + -195))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u = -4*a + 5*u + 16, 0 = -2*a + 3*u - 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*h - 303*h - 6 + 6 = 0. Solve 6*p - 30 + 6 = h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 8 = 2*v - 4*v, 0 = -2*v + 3*i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 629328*h - 14472428.\nAnswer: -4*(h - 157309)*(h - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(8\/3 + -2). Suppose 4*z + 23 = 19. What is the second smallest value in o, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.977165 tonnes to grams.\nAnswer: 977165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 12:42 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*h - 1. Let y be 39\/(-13) + 0 + 2. Put 0, h, 8, y in ascending order.\nAnswer: y, 0, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)*n*n**(2\/7))**(-23)\/(n**(-4)\/n**(-3)*(n*n**1)**(1\/21)) assuming n is positive.\nAnswer: n**(-740\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -4, 1019.972, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 70*o - 262. Let t be x(4). What is the greatest common factor of 12 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15.1 less than or equal to -4.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 29. Which is the second smallest value? (a) v (b) -3\/2 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 2475.\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 3) in base 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**3\/2 - 819*c**2 + 10044*c = 0.\nAnswer: -558, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, f: 6, p: 3, j: 5, t: 2, z: 1}. Give prob of sequence pt.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 546848?\nAnswer: 18045984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 13667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12871 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -442, -1675, -3706, -6541, -10186, -14647, -19930, -26041?\nAnswer: -32986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217, 213, 207, 199?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*y**6 - 55622*y**3 + 10525038*y**2.\nAnswer: -2400*y**3 - 333732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5af174 (base 16) to base 8.\nAnswer: -26570564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-4) - (3 + -4))*-4. What is the greatest common divisor of g and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8929.1612 - 2.38813.\nAnswer: -8931.54933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 6:34 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6 + 7 + 1 - z**2 + 6*z. Let r(p) = -2*p**3 - 4*p**2 - 4*p - 2. Let b be r(-2). Let o be f(b). Solve -5*m = -3*c - 6, -m = -o*c - 4*m + 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2762.18 less than -0.4?\nAnswer: -2762.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3990)\/(-1463))\/(140\/(-3696))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - 1) + (-7 - -15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/3)\/y)**47 assuming y is positive.\nAnswer: y**(-329\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-7 - -2 - -10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -84202 and 9910.\nAnswer: -834441820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*b, 3*x - 3*b + 0*b - 81 = 0. Let n be (-2)\/18*(-30 + 13 + 17). Solve n = 3*v - 5*z + 26, 5*v - z + x = 3*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*y + 69, -y = 4*y. Suppose -k - 18 = 2*d + 3*k, -2*d - i = 5*k. Let p = 684 - 677. Calculate the lowest common multiple of p and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q - 1. Let h be r(-2). Let w(o) = o**3 + 7*o**2 + 6*o - 4. Let n(p) = -p - 2. Let i be n(4). Let m be w(i). Put h, m, 1 in descending order.\nAnswer: h, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 3. Let j be (-30)\/(-9) + 2\/x. Suppose 0 = -6*d + 27 - 3. Solve -a = j*g - 17, d*g - 3*a - 26 = -a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - -12. Let h(l) = 2*l + 8 - a + 2*l. What is the units digit of h(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4235063 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47, -45, -43, -41?\n\"Answer: 2*y - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1697.3624724 + -1732.36246. Let u = 1719 + -1754. Let c = j - u. What is c rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 11. Let d be y(7). Suppose -5*j = -10*j + 2*q + 94, d*q = -4*j + 64. Calculate the greatest common divisor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 354515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146779701 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/800 and 73\/80144?\nAnswer: 4007200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**3 - 2*g**3 - g**3 + (-136*g + 143*g - 2 + 0)*(8 - 8 - 4*g**2) to the form q*g**2 + u*g**3 + x + d*g and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*f**2 - 372 + 372.\nAnswer: -23*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 11264.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 - 4*c**4 + 5*c**4 + (3*c**4 + 0*c**4 - c**4)*(-2 + 3 - 2) + 555*c - c**4 - 555*c + 0*c**4 + c**4 + 2*c**4.\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 58, 62, 78, 112, 170?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.7 + -14.74. What is the closest to 0.1 in y, 4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2748 + 5559\/2. Let h = -54209\/97660 - 57\/1028. Find the common denominator of l and h.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000040881 rounded to 6 decimal places?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 220002223 (base 4) in base 13?\nAnswer: 59863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/170*(-20)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + ((0 + sqrt(72))*-3 - sqrt(72)) - (sqrt(72) + (sqrt(72) - (1 + sqrt(72))) + sqrt(72) + 3))**2.\nAnswer: 120*sqrt(2) + 1804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*w - 98 + 18 = 0, -v = -2*w - 31. Suppose -2*z = 3*z - v. What is the greatest common divisor of z and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 862 is divided by 79.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -367585, -367605, -367645, -367705?\n\"Answer: -10*t**2 + 10*t - 367585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 881560, 6, 26 in increasing order.\nAnswer: 6, 26, 881560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d**4\/4 - 3183*d**3\/4 + 2475063*d**2\/4 - 196298397*d\/4 + 53167995\/2 = 0.\nAnswer: -355, 6\/11, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/22 - (-53958)\/374. Let i be (-12)\/(-15)*15\/2. Is i\/(-12)*2 + t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9555*j**2 - 100*j\/3.\nAnswer: 5*j*(5733*j - 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*r - 4*i - 10, 4*i = 0. Let x be 6\/(-8) + r\/8. Let l(g) = -21 - 24 - g - g**3 + 44. Let v(t) = 14*t**3 + 14*t + 12. What is x*v(o) - 12*l(o)?\nAnswer: -2*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95866 - 95866.5. Suppose -q + 6 = t, 2*t + 4*q = t + 18. Let u be (3 + 14\/(-4))*-6. What is the nearest to d in t, u, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 383983890 and 846?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276 and 7776?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 8468396.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 12.4. Let h = -5 - -2. Let v be (-1)\/(-3)*(-3)\/h. What is the nearest to v in n, -4, 2\/19?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -5*v**4\/24 + v**3\/2 + v**2. What is the tens digit of k(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 358 - 344. Sort 3, -6, p in increasing order.\nAnswer: -6, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 11. Suppose 225 = -0*x + 3*x. Let g be h\/(-6)*-8*x. What is g rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 267\/(-356)*(-4 + (-468)\/27)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -104.0332 - -1.8232. Let n = 103 + c. Let q = n - -0.21. Is q at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 - 15*x**3 + 85*x**2 + 195*x + 100.\nAnswer: -5*(x - 4)*(x + 1)**2*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 18*t + 1. Is w(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*q + 776 = 11*q + 32 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786771 is divided by 191?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 428232 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -200 + 214. Solve 17 = -w + 4*q, w - 3*q = -w - t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -404 (base 8) to base 13\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c8e + 7?\nAnswer: -c87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**4\/4 + 2*l**3 + l**2 + 2*l - 3. Does 11 divide v(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8322893 millennia to decades.\nAnswer: 83.22893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 280 = -9*b. Is b not equal to 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*r - 2*t - 2*t, -3*r + 4*t = -29. Find the second derivative of 11*z + 13*z**3 + r*z**3 - 5*z - 21*z**3 wrt z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) -8 (c) -0.1 (d) -1.62 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/126*(-189)\/(-126).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6260\/11 (b) -1\/2 (c) 1\/4 (d) -40 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86647509?\nAnswer: 3, 13, 23, 10733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 5, 3, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**3 - 3*g**2 + 4*g + 10. Calculate f(3).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 93, 144, 193, 240, 285?\n\"Answer: -w**2 + 54*w + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7*g + 52. What is l(15)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11018, 36.\nAnswer: -1, 36, 11018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2130, 11, 2, 1, -10, -3 in decreasing order.\nAnswer: 2130, 11, 2, 1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.29, 0.2, 16, 4 in descending order.\nAnswer: 16, 4, 2\/3, 0.2, -0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11*(3 + 135\/(-55)). Suppose y = -207*i + 210*i. Solve -2*t + 12 = i*n, -2*t - 4*n + 4 + 12 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + -67. Suppose -4*a + 58 = -k. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 122 + -196. Which is the nearest to -0.1? (a) t (b) 5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 6*k**3 - 32\/3*k + 140\/3*k**2.\nAnswer: 2*k*(k + 8)*(9*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 803*o + 4670*o + 2447*o to i*o + p and give i.\nAnswer: 7920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o + 0*o**3 + o**3 + o**3 + 5 - 3 - 3*o**4 as w*o**3 + b + t*o**2 + m*o + u*o**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1\/(-2) - (-11)\/2 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11*(-70)\/(-33))\/(((-44)\/440)\/((-3)\/10)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -885*l - 17248 = -1501*l for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -4. Suppose 355 = m + 163. Suppose 3*g = -i*s + 174, g - 4*g + s + m = 0. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 486378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*c**5 - 718*c**4 - 54*c**2 + 2351187*c - 3?\nAnswer: 160*c**3 - 8616*c**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: 16*-0.1601143\nAnswer: -2.5618288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5712 and 476?\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 33 times 5\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2138 less than or equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**8*s))\/(s**(5\/4)*s))**11*(s**(-3\/4)\/(s\/((s*(s*s*s**8*s*s)\/s)\/s)))**39 assuming s is positive.\nAnswer: s**248","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 0*u**2 + 3*u + 0*u**3 + 0 + 1\/6*u**4. Let z(a) = 3*a. Calculate z(f(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**3\/2 + 9268*a**2 - 37066*a + 37064 = 0.\nAnswer: 2, 18532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1*-1*2\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 5 + 4)*(-3 + 2*j - j + j)*(-17*j + 230 - 230 + (3 + 33 - 12)*(0*j - 5*j + 4*j)) to the form c + b*j**2 + x*j and give x.\nAnswer: -1476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a + 5 - 5)*(a + 0*a - 4*a)*(698 + 3*a - 2*a - 685) as f*a**2 + g*a**3 + d + s*a and give f.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from mixmxxixmmmmimjmmip.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -12, y - 2*y - 17 = 5*r. Let z = y - -52. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 4. Let n(v) = 3*v + 32. Let d be n(-12). Let j(x) = -3*x + 9. What is d*j(a) - 9*w(a)?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1242 by 7696.\nAnswer: 621\/3848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*z + 19, 0*z = -3*z + 3*g + 9. Let j be (z - 3)*(-1 + 3). Suppose 0 = j*t + t - 15. Solve 0 = 6*i - t*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 + 6?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8962*u**4 - 143*u - 3532690 wrt u?\nAnswer: -35848*u**3 - 143","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b + 7. Let z be r(6). Let n be (11 + z)*3\/2. Let x(q) = -3 - q + 5 - 3*q**2 + 8*q**3 - n*q**3. Determine x(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 10:11 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40828040.14514 - -0.3.\nAnswer: -40828039.84514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 4*h - 3. Let z(y) = 2*y**2 + 3*y + 2. Let u(j) = j**3 + 43*j**2 + 82*j - 4. Let l be u(-41). Calculate l*z(p) - 3*n(p).\nAnswer: -5*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p + 9. Let l = -15 - -8. Let y = 15 + l. Is r(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 761, -8, 7 in descending order.\nAnswer: 761, 7, 0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.23? (a) -0.2 (b) 3 (c) -1\/4 (d) 26\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 9438.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 66 + 79. Let v(h) = 3*h**2. Let d be v(-1). Let y be b\/(-3) - d\/(-9). Solve 0*o = -2*o + 5*u + 10, 2*o - y = -2*u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2232.1035 months?\nAnswer: 0.186008625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(10)\/sqrt(5)) + -3 + (sqrt(19) - sqrt(684)).\nAnswer: -4*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 3 - (16 - 10)) + (1 - 8).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5444631um?\nAnswer: 0.0005444631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-14))\/(1\/(-13) - (-1952)\/(-1664))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7 + 8*h - 5 + 2*h - 13*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z**5 - 2*z**3 - 2*z**2 - 7*z. Let d(v) = -8*v**5 - 3*v**3 - 3*v**2 - 6*v. Let r(x) = 2*d(x) - 3*n(x). Find the second derivative of r(q) wrt q.\nAnswer: 100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-136)\/16 - -8)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/145 and 15\/94453?\nAnswer: 472265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -56115465?\nAnswer: -11223093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164409 = 3420*g - 3379*g - 63305. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.8 - -1.9. Let v = k + 1. Let f be (-5)\/2 - 6\/(-12). What is the second smallest value in f, v, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/6 + 523*d**2\/3 - 106949*d\/6 - 53998\/3 = 0. Calculate d.\nAnswer: -1, 116, 931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1743, 11147, 26823, 48771, 76991?\nAnswer: 111483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*j**3 - 291*j**3 - 1383*j**3.\nAnswer: -1602*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 41?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 14*v = 2222. Suppose -603 - v = -5*k. Let z = k - 115. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 3.6. Suppose -10*i = -1 - 59. What is the third biggest value in i, -5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23, 44, 99, 206, 383?\n\"Answer: 3*o**3 - o**2 + 3*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*u - 11 - 10 - 7 + 6*u - u to the form j + c*u and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41234 - 199674 = -17*t. Suppose t = 188*c - 180*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(117)*2 + 3) - (3 + (-2*sqrt(143) - sqrt(143))\/sqrt(11) + sqrt(13) + 5*(sqrt(52) + sqrt(13)))**2.\nAnswer: -2212 - 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1)\/n**9 assuming n is positive.\nAnswer: n**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -5*n - 19*n - 4*h, 5*n + 3*n + 3*h - 2*h - 17 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/3 in 0.4, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*z**2 - 20*z**2 - 36*z**2 - 8*z**3.\nAnswer: -8*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -4 (c) -1\/3 (d) 51 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 10*d. Let n be z(-1). Let k be (10\/325)\/(2\/n). Sort -0.3, 1\/6, k in decreasing order.\nAnswer: 1\/6, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7854771*m**3 + 12403635*m**2.\nAnswer: -47128626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.082 and 50719?\nAnswer: 50719.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2514722 to the power of 1\/2, to the nearest integer?\nAnswer: 1586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1509, 3017, 4527, 6039, 7553, 9069?\n\"Answer: j**2 + 1505*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1822583590?\nAnswer: 2, 5, 29, 151, 41621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from wiiqihiqiqhhiqhihi.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2880 and 27990.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/1*15\/6. Suppose -3*s = 2*s - h. Suppose 19 = o - s. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, z: 8}. What is prob of picking 2 z and 2 a?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(((-40)\/(-2))\/(-20)). Solve s = -32*d - 19*d - 357 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1559 = 3*h + 338. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 9:59 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 420*p + 4900.\nAnswer: 5*(p - 70)*(p - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 0. Let q be s\/(-9) + 4\/(-18). Solve u + 5*r = -0*u, 4*u - 5*r = q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -16. Suppose f*p - 5*b = 0, 2*b = -p - 0*b. Solve -4*d + 6*d - 6 = p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 154672425 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1115.043 to the nearest 10.\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__round_number_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: (271\/(-1897))\/((-1)\/42)*3\/(-2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 20*n + 55. Let k(b) = 18*b + 45. Let d(v) = -5*h(v) + 6*k(v). Let u(f) = 8*f - 4. Calculate -2*d(j) + 3*u(j).\nAnswer: 8*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52 - 12*x**3 + 144*x + 32*x**2 - 180 + 48*x**2.\nAnswer: -4*(x - 8)*(x + 2)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 3*q + 2*q)*((-104 + 109 - 59)*(-2 - 1 + 4)*(4 + 0 + 2) - 4 + 1 + 0).\nAnswer: 981*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1487649760 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1701951, 1701949, 1701945, 1701939, 1701931, 1701921?\n\"Answer: -h**2 + h + 1701951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-five quarters of a century?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*b - 411, -4*f + 3*b - 250 = -815. Suppose -t + f = 4*i, -i + 46 = -2*t - 0*t. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -16 - (12 - -2 - (-42 + -51))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8464696 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*b - 38, -f + 2*b + 70 = 2*f. Let s(g) = -11*g**2 + 334*g - 25. What is the remainder when s(30) is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/275 and -11\/50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11419 - 3*u**2 - 11420 + 34393 - 11554.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -618566 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/21 + (4 - (-120)\/(-28)). Suppose d - s*d = -6. Is 32\/7 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4984229 is divided by 1213.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - 14833115.\nAnswer: -14833070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 88771 (base 13) in base 9?\nAnswer: 416251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 850260 and 4704772?\nAnswer: 70571580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7272 - -523603\/72. What is the common denominator of 85\/234 and y?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*w + 61*w = -6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/9 + 35624*x\/9 - 68467000\/9 = 0. Calculate x.\nAnswer: -19562, 1750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*i**2 + 1\/3*i**3 - 2\/3 - 1\/3*i.\nAnswer: (i - 1)*(i + 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/10)\/((-7*1)\/(165\/99))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14965 + -12913. What is the least common multiple of n and 144?\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 3*k + 11. Let y(p) = -2*p**2 + 2471*p + 4947. Let g(i) = -3*t(i) - y(i). Factor g(w).\nAnswer: 5*(w - 498)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1380\/1725)\/((1\/(-4))\/(90\/8)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 1\/2*s**2 + 11 + 0*s. Let o(a) = -59*a. Determine l(o(r)).\nAnswer: -59*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116026746, -232053487, -348080228?\nAnswer: -464106969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 19370\/7461?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*t + 168, 4*t = -4*o + 3*t + 322. Let g = 407 - 385. Let i = g + o. Calculate the remainder when i is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2594*w**2 - 59*w - 1036*w**2 + 59*w - 2360*w**2.\nAnswer: -802*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 - -58. Which is the nearest to i? (a) -5 (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26c3b - d?\nAnswer: 26c2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r + 11. Let m be y(1). Let a(b) = -8*b**2 - 2. Let t(j) = 7*j**2 + 2. Determine m*t(l) + 5*a(l).\nAnswer: 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a + -32950?\nAnswer: -32936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*6*42\/63 - 195. Let u = v - -210. Suppose 0 = 2*j + 3*h + 3, -5*j + h + 5 = 6*h. What is the remainder when u is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7235178?\nAnswer: 2, 3, 283, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1463 and 171?\nAnswer: 13167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/30*(-12)\/((-9)\/3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztx when three letters picked without replacement from {i: 2, t: 2, z: 1, x: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1125 divided by -375\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -756850 divided by -378425\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 60608158?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*h - 5*q - 6, -2 = -2*h - 5*q. What is the third smallest value in h, -289\/9, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**6)**(-10)*n**(-3\/11)\/(n\/n**(8\/5)) assuming n is positive.\nAnswer: n**(2768\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7) - (sqrt(7) + (sqrt(252) - (1*sqrt(252))**2 - sqrt(7)))).\nAnswer: -504 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 97.122 to the nearest integer.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p - 7 = 31*p - 3*y, 0 = y - 3. Sort 0, -357, p, 4 in decreasing order.\nAnswer: 4, 0, p, -357","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-42)\/70)\/(1\/(-55))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6599888 - 0.66. Round i to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -424.664 + 423. Let n = 0.064 + d. Let r = n + 6.6. What is the fourth smallest value in 2\/9, r, -1, 1\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-144)\/60*25*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.8 * 0.1.\nAnswer: -1.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 592081 and 2.\nAnswer: 592083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 1. Let h(l) = -2*l + 4. Let x(k) = k - 2. Let v(f) = -4*h(f) - 7*x(f). Let y(a) = 4*g(a) - 3*v(a). Determine y(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8246574?\nAnswer: 2, 3, 7, 65449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (63 - 27) + (-16 - 3).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**6\/30 - 5*j**4\/3 + 11*j - 21. Let z(i) be the first derivative of o(i). What is the third derivative of z(w) wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - -7) + -77 + 102.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**4\/4 - 303*w**3\/4 - 8601*w**2\/4 - 46389*w\/4 = 0.\nAnswer: -47, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -93*k - 1. Is p(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-160 - 20*b + 83 + 74)*(0*b**2 + b**2 - 6*b**2).\nAnswer: 100*b**3 + 15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 2)\/(6\/(-4)). Suppose 4*c - 2*j = 2*j - 16, -5*c + j - 20 = 0. Let q = c - -7. Solve 2 = 2*k - 2*z, -q - 3 = -3*k + u*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60.0971 - 0.4\nAnswer: 59.6971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1027 is divided by 274?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-110)*1540\/630?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 + -69.92. Let n = s - 2.08. Let h = -1.1 + 1. Which is the nearest to 1? (a) h (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*d + 25 = 0, -3*d + 6*d = 5*u + 30. Suppose 16*q - 14 = 14*q. Let o(j) = 3*j - 16. Let t be o(q). Put u, 1\/2, t in descending order.\nAnswer: t, 1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8)\/s**11)\/(((s*(s\/(s*s**(-38)*s)*s)\/s)\/s)\/s*s**30\/s) assuming s is positive.\nAnswer: s**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 19 = -5*u, 3*n = 3*u - 0 - 9. Let o(t) = t**n + 3 + 4*t**3 + 7*t - 10*t - 2*t**2. What is the units digit of o(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(4)*-6 - sqrt(130)\/(sqrt(10)*-3).\nAnswer: -17*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 1 - (-6)\/((-264)\/124). Suppose 4*n = 6 - 2. Sort n, r, -1\/2, 2\/25 in decreasing order.\nAnswer: n, r, 2\/25, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22228950 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496*b - 2335 = -8287 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knk when three letters picked without replacement from {k: 2, n: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19498 rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 35*w**2 - 273*w - 28. Give b(14).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -976.456702 to the nearest 10.\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -185, -277, -385, -515, -673, -865?\nAnswer: -1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 5*x = -3*q - 15, q = 5*x - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10886909 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 13 + 13 + -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*-3*(sqrt(304) - 3*sqrt(304)))**2*1.\nAnswer: -787968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 561459 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23662230170 and 3486.\nAnswer: 23662233656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 12:24 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1865 and 0.023.\nAnswer: -1864.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55.2 + -55. Sort -3\/2, y, -2\/5, -2\/21 in ascending order.\nAnswer: -3\/2, -2\/5, -2\/21, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30500641?\nAnswer: 73, 151, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 20. What is the greatest common factor of 21 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 3*i - 4. Let s be t(4). Suppose -r + 5 = s, -2*b = -b + 3*r - 17. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1003 is divided by 272?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011000101000010011 + 11?\nAnswer: 10011000101000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8d (base 15) to base 9.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 7*w + 8 = 0. Suppose 4*q - 190 = -2*i, -w*q - 89 - 164 = -3*i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/(((-5)\/(-2))\/(18445\/238))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 183 = w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -1 + -1 + -1. Let s be -1 - (-1)\/x*-2. Let w(u) = u**3 + u**2 - 8. Give w(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 189 and 9?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3b5551 (base 16) to base 2\nAnswer: -1110110101010101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -13, -24, -35?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7323 - -7323. Is f equal to -5735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1136)\/(-6))\/(-14 + (-4630)\/(-330))?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + -2. Let a(n) = n**3 + 25*n**2 - 27*n - 26. Let i be a(x). Let m be (12\/(-9))\/4*i. Solve -q + m*j + 2*j = -6, -5*q = j + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -50. Calculate the remainder when 45 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10012 (base 3) to base 13.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r + o = -32, r - 35 - 40 - 23 = -5*o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 247. Let c be (-6)\/(-10)*1 - z\/(-585). Let x = 1 + -2. Sort x, -0.5, c in decreasing order.\nAnswer: c, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2*i + 32 = 0, -74*i + 83*i + 109 = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -9*l + 42. Let p be -9 + 5 + (2 - -2). Let z be 5 - (-6 - -5) - (1 + p). Solve z*j - 6 = l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33106 by 1522.\nAnswer: -16553\/761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 6340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, l: 4}. What is prob of picking 1 l and 1 x?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 288030 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*h - 1140 + 2282 - 303*h + 607*h - 1142.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/6)\/((-3623)\/76083).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-93.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -74, -0.1, -3 in decreasing order.\nAnswer: -0.1, -2\/3, -3, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 = -62*n - 15*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 5, 0, -4, -43, 2, 36 in increasing order.\nAnswer: -43, -19, -4, 0, 2, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 140\/(-40)*39*-8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38965093 divided by -1.\nAnswer: 38965093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y + 10. Let v(p) = 14*p. Let m be 2*(-2)\/(-3)*3. Let r(l) = -11*l. Let b(j) = m*r(j) + 3*v(j). What is b(a(h))?\nAnswer: 10*h - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -3*i**5\/20 - 51*i**2. Let q(z) = -7*z. Calculate k(q(p)).\nAnswer: -441*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v*y**2 + 8*v*y + 279446*v - 12*y**2 + 13*y with respect to y.\nAnswer: 4*v*y + 8*v - 24*y + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000000100011 + 0?\nAnswer: 11000000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19704212921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*u - 8*u + 8*u)*(-74 + 356 - 1666) to r*u + x and give r.\nAnswer: 19376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221 (base 3) in base 15?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33170)\/36487)\/((-5)\/(-88))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 43. Let m(b) = -2*b**3 - 5*b**2 + 13*b - 4. Let l be m(x). Suppose -3*s - 121 = -l. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-45)*(90\/147)\/(4\/(-7))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*w - w. Let b(l) = l**3 + 3*l**2 + 2. Let u be b(w). Suppose u*r + 5*z = -r + 63, -39 = -3*r + 3*z. What is the remainder when 31 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -183, -346, -505, -666, -835?\n\"Answer: -h**3 + 8*h**2 - 180*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137 or 413\/3?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -29150 to the nearest 1000.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2, -4*v + 55 = -v + 5*c. Suppose 5*y = -4*i + i + 15, -y + v = 3*i. Solve y*b + 0 - 3\/2*b**3 - b**2 = 0 for b.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, x: 2, h: 2, z: 7}. Give prob of sequence hh.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*s + 30, -s = 3*n - 5*n + 24. Calculate the remainder when 245 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4621 - 0.7621. What is the nearest to 1\/5 in s, -0.5, 1, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**4\/4 - 2*f + 2. What is the derivative of w(c) wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (2 + -1 - -29). Suppose 0*l - 2*z - x = -3*l, 5*z + 20 = 0. What is the remainder when 29 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3143 - -3170) + (-79)\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-84)*(2 + (-88)\/36) and 53\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 8*w**2 + 16*w - 19. Let m be a(6). Solve -m*l - 5*g + 35 = 0, 5*l - 1 - 19 = -2*g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**23\/y*y**(-1) assuming y is positive.\nAnswer: y**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -19, -22, -9, 26, 89, 186?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5300.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by 1.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1200780054.\nAnswer: 2, 3, 313, 213131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.33, 13, 1, -2\/7, -25\/4?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11324 + 11504. Calculate the greatest common divisor of z and 8010.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + 55 - 55. Let z(h) = 3*h. Calculate w(z(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1920 and 5?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6244 + 6244 + 699*x)*(4 - 8 - 4)*(-7*x**2 + 3*x**2 + 3*x**2)*(x + 0*x + 0*x) to the form g + l*x**3 + m*x**2 + q*x**4 + d*x and give q.\nAnswer: 5592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**3\/3 + 28984*d**2\/3 - 57992*d = 0?\nAnswer: -14498, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-231)*22 + 12.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 7. Suppose 5*q - a*o - 87 = 0, 4*q + 4*o - 105 = -13. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 62388.36 litres?\nAnswer: 62388360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 372375348 and 3348?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2660 + 2675 = -360*w + 1735 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(140)\/sqrt(5))**2 + sqrt(28) - (sqrt(28)*2*2 + sqrt(28) + sqrt(28)).\nAnswer: -10*sqrt(7) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.3 * -87.\nAnswer: -1766.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 43 = -5*q - 5, -3*q + 5*f - 14 = 0. Let m(r) = 3*r - 12. Let t be m(q). What is the tens digit of (70\/(-8))\/(9\/t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*m + 0*m - m)*(-29 - 46 + 13) to the form k*m + v and give k.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 5*o - 5*v, -5*o - 3*v + 246 = -v. Let w = -84723\/16 - -5301. What is the common denominator of o\/(-18)*3\/(-2) and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40061291?\nAnswer: 19, 97, 21737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 11:53 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -84*(-23)\/(-92)*(-6)\/9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-10)*434\/(-4)*(-2380)\/(-833).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**24)**(-41))**48 assuming u is positive.\nAnswer: u**(-47232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 5:59 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2673771 divided by 3.\nAnswer: -891257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 7:16 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 35014869600 to the nearest 1000000.\nAnswer: 35015000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 10 = -5*m. Suppose -5*l + 2*l - 9 = 0. Sort m, 3, l.\nAnswer: l, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k + 13*k = 30*n - 27*n + 21, -2*k - 3*n = 23 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11308 = -121*w - 17358 for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -r + 1, 0 = k + 2*r - 5*r - 5. Let q = k - 1. Calculate the highest common divisor of 3 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20285.965 - -20228. Let i = s + -0.035. Let c = i - -58.04. Which is smaller: 1\/4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 450, 888, 1326, 1764, 2202?\nAnswer: 2640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 495 = -6*l. Let c(u) = u**3 + 6*u**2 + 12*u + 8. Let a be c(-2). Suppose a = 102*n - l*n - 13020000. Round n to the nearest 100000.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -19) + 7 + -15.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 225*k - 4348. Determine m(18).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.064 (b) 3 (c) 0.5 (d) 0.3 (e) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 21*v - 235 = 0. Suppose -797 = -30*w - v. Calculate the remainder when 370 is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.36*0.1.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42455571 divided by 3.\nAnswer: -14151857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 18, 5, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -47.95. Let g = -0.3 + 0.35. Let w = q + g. What is the smallest value in 4\/3, w, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + -2 + -4 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 610672216430 and 27.\nAnswer: 610672216457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(-4 + 4 + 1)*(367*c + 266*c**2 - 367*c) to the form l*c**2 + n + x*c and give l.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -456, -464, -474, -486, -500, -516?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k + 5. Let p be b(0). Let w(q) = q**2 + 4. Let d be w(5). Suppose -p + d = 3*j. What is the greatest common factor of j and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - z - 35 = -2*z, 0 = -2*w + 5*z + 23. Solve -3*s = -2*n - s + 12, -w = -4*n - s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2. Suppose g + x = 0, 4*x = -g + 5*x. Let h(u) be the third derivative of -u**2 + 0 + 1\/12*u**4 + g*u + 0*u**3. Give d(h(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h - 2 + 11*h + 11*h. Does 12 divide c(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -121 + 161. Let x = o - 38. Solve x*n = -2*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (18 + -13 + 18 - 16)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*p**2 - 82*p**2 - 5*p + 7 + 4*p to l*p + z + q*p**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3850, 3808, 3766?\nAnswer: 3724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13556 by -3389.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooucoooucoo. What is prob of picking 4 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41051*t**4 - 4*t - 1929.\nAnswer: -492612*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from nbddedebn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + b - 4. Let d(u) = -5*u + 7. Let x be d(2). Let s be r(x). Put s, 4, -7 in ascending order.\nAnswer: -7, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*a + 21*a - 34*a)*(-3*a + 2*a + 0*a).\nAnswer: 42*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-2 + ((-559)\/78 - -9))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 8*p**2 - 4*p - 6. Suppose -5*n - 15 + 80 = 0. What is the remainder when v(5) is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0*x**5 + 0 - 2*x**2 + 1\/4*x**4 - 26\/3*x**3 - 1\/210*x**7 + 0*x**6 + 2*x. What is the derivative of k(a) wrt a?\nAnswer: -4*a**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1480 and ((-1186)\/(-105) + 24\/180)\/(6\/42)?\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-234)\/(-104) + (0 - 2). Which is the second biggest value? (a) j (b) -1\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v - 2. Let i(b) = 10*b - 3. Calculate -3*i(f) + 5*q(f).\nAnswer: -5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17791 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.5 + -0.5. Let f = -60070 + 60073. Which is the nearest to 10? (a) f (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + i + 5, -4*g = -19*i + 21*i - 20 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 78.5731 millimeters?\nAnswer: 78573.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 7*g - 6. Let x be h(6). Let i be 3\/x*(-8)\/7. Let t = 0.079 - 0.079. Which is the biggest value? (a) i (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1392 by 4.\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2590a0 (base 12) in base 16?\nAnswer: -96a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -672 + 730.8. Let h = 71 - z. Let k = h - 6.6. What is k rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 3055111 and 0.18.\nAnswer: 3055111.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2104 (base 7) to base 6.\nAnswer: -3231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5205 by 1041.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -125 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19678 - -29939. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 f when three letters picked without replacement from {f: 6, h: 4, d: 3}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0*m**5 + 0*m**2 + 1 + 0*m**3 - 4*m - 23\/4*m**4 + 1\/42*m**7 + 4\/15*m**6. Find the third derivative of w(c) wrt c.\nAnswer: 60*c**2 + 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-12))\/(15\/(-225)). Solve r*f + 10 = 2*d, 3*d + 5*f - 18 + 3 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from {o: 11, z: 1, t: 5, m: 2}.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-296*v - 1 + 212*v + 251*v)*(136*v - 136*v + 38*v**2) to the form y*v**3 + z + j*v + p*v**2 and give y.\nAnswer: 6346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 64\/12*(-9)\/6. Let h = 91 + y. List the prime factors of h.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 847.7896mm in micrometers?\nAnswer: 847789.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14425628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*p + 680 = -62*p. What is the highest common divisor of p and 112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3*r + 35 = 0, -2*m + 4*r = 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 479*b - 486*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-1\/9)\/y)\/y**(2\/3))\/((y*y*y**(1\/8)*y)\/y**6))**(-6\/7))**(3\/4) assuming y is positive.\nAnswer: y**(-79\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*a - 13*a + 71857 - 23917. Calculate the smallest common multiple of 15 and a.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 15*p**2 + 15 - 30*p**2 + 6 - p**3 - 6*p + 6 - 7*p. Give b(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 266484*l + 7?\nAnswer: 266484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-12)*36\/16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4, 1, -5\/6, -988?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -798, -1026, -1184, -1242, -1170, -938, -516, 126?\n\"Answer: 5*r**3 + 5*r**2 - 278*r - 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a**3 - 5*a**2 - a + 9. Let m(h) = -5 + h + 6*h**3 + 4*h**3 + 3*h**2 - 6*h**3. Let t = 67 + -65. Let u be 9\/t*2\/3. Give u*d(q) + 5*m(q).\nAnswer: -q**3 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13621, 55437, 125439, 223633, 350025, 504621, 687427?\n\"Answer: s**3 + 14087*s**2 - 452*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-6)\/(-183)) - 4. Is o not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 173*b*x**4 - 38*b*x**2 + 258*b*x + 356*b - 5*x**4 wrt x.\nAnswer: 2076*b*x**2 - 76*b - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*u + 1597*u**3 + 27*u + 700*u**3 - 4379*u**3.\nAnswer: -2082*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i - 6*i - 9*i to the form c*i + u and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -1931f?\nAnswer: -1931e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -42*s**2 - 16*s. Let y(a) = -21*a**2 - 8*a. What is -3*c(h) + 7*y(h)?\nAnswer: -21*h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 6 = 2*b, -n = 5*b - 0*n + 12. Let m(t) = 224696*t**3 + 132805*t**3 - 2 + 5 + 1 + t**2. Let q be m(b). What is q rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1416 = 9*x - 5*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrgjjjqjlzzq. What is prob of sequence zqz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/(-465) - 29837\/(-15) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7*w**3 + 3*w**2 + 3*w + 4. Suppose -1 + 0 = y. Let x(h) = h**2 + h + 1. Let t(v) = y*b(v) + 3*x(v). Find the first derivative of t(r) wrt r.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c1 + -7d98?\nAnswer: -7cc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 7:08 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 113391008 - 0.015.\nAnswer: 113391007.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7690 is divided by 767.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + c**2 - c - 1. Determine y(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/4 (b) 4\/5 (c) -0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*y + 2*y + 30, 5*d - 20 = y. Suppose 177 = y*m + 52. Calculate the remainder when 48 is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -0.25. Let c = h - -0.45. Let o be (-13886)\/(-19912) + (-2)\/(-38). What is the third biggest value in c, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 95 = 22*q - 16. Let g(s) = 5*s + 7. Let y(b) = -b. Let t be ((-16)\/(-20))\/((-4)\/(-30)). Let f(z) = t*y(z) + g(z). Give f(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 237.\nAnswer: -71.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245989 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5326793956 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -10, -8, 1.5, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55.3 + -48. Let k = z + -12.4. Let i = -5.3 - k. What is the closest to -2 in -1, i, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11924 is divided by 576?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 433, 432, 431, 430?\n\"Answer: -b + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -118\/5. Let h = 0 - 1. What is the closest to h in a, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**5\/10 - c**4\/6 + 2*c. Find v, given that p(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((2*sqrt(286)*-4)\/sqrt(11))\/((sqrt(2) + (sqrt(2) - sqrt(8)\/sqrt(4)*-4 - sqrt(2)))*-5))**2*1.\nAnswer: 13312\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/((j*(j\/(j\/j**13))\/j)\/j))*j*j**16)\/(j**(-3\/11)\/(j*j\/j**16)))**12 assuming j is positive.\nAnswer: j**(2016\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**5\/120 + w**4\/8 + w**3\/6 + 2*w. Let q(x) be the second derivative of r(x). Find the first derivative of q(g) wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence you when three letters picked without replacement from hduwyyo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4306725300, -4306725301, -4306725302?\nAnswer: -4306725303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2853677604 to the power of 1\/2, to the nearest integer?\nAnswer: 53420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(504\/(-16))*((-24)\/(-8))\/(-138).\nAnswer: 1\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 3*x**3 + 0*x + (-3*x**3 + x**2 - x**2)*(-133 - 87 + 381))*(3*x + 0*x - 2*x).\nAnswer: -480*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8820 - 8775. Let y(i) = -3*i + 6. What is the remainder when v is divided by y(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -20 + 15 + -24\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*l - 154 = 966 - 40 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -784 times 0.149\nAnswer: -116.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 227 + 117 = -y, 3*y = -3*f + 102. What is the remainder when f is divided by -1 + 1*(8 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 - -1.321. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.15 (b) 12 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 6:31 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - w - 1. Suppose -5*k + 2*k = -42. Let h(g) = -g**3 + 15*g**2 - 12*g - 24. Let o be h(k). Let a be o\/4 - (-5)\/((-10)\/6). What is s(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1331358 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (34\/(-12) - 1\/6). Let q = -543 - -549. Solve s - 10 = j*c - 2, 0 = 2*s + c - q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-55)\/(-10)) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 6 = -4*p. Suppose -y = -5*y + p. Suppose -4*w + 50 = -5*g, -y*w = w + 2*g - 26. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0 - 10) + (-8648)\/(-940).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 - ((0 - (-132)\/(-21)) + (1550\/(-175))\/(-31))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35746 and 305.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-10)*-275*(-7)\/7315*-1?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -394*h**2*u**2 - 42*h**2 - 6*h*u + 2*u**2 - 1 wrt u.\nAnswer: -788*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaakkaa. Give prob of picking 3 a and 1 k.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.05681.\nAnswer: -0.022724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -790, -1579, -2368, -3157?\nAnswer: -3946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 2 + 4. Let u(f) = f**3 + 7*f**2 + 7*f + 5. Let v be u(-6). What is the common denominator of (v - w) + (-1)\/(-5) and -44?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 9*c**3 - 7*c**2 + 7. Let r(s) = 5*s**3 - 4*s**2 + 4. Calculate 4*n(y) - 7*r(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0*u + 70. Let w(b) = -2*b - 5. Let f be w(-4). Let a(j) = j**3 - j**2 - 4*j + 4. Let z be a(f). What is the greatest common factor of z and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9a + 3?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 26 = -2*k, -5*b - 2*k + 85 = -k. Let w = -1 + 1. Suppose -x = -w*x - b. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*z - 702*z = 905*z - 48212 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 111 = 2*r, -37*p + 39*p - 112 = -2*r. Suppose -30*j**2 + 15\/2*j**4 + 20*j + 25\/2*j**5 - r*j**3 + 0 = 0. Calculate j.\nAnswer: -2, -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -228 + 338. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266711 is divided by 154.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/9171 and 89\/8152.\nAnswer: 73368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 8. Suppose i = -4*n + 5*r + 36, 3*n - 28 = -n + 3*r. Let j = -535\/156 + 43\/12. Which is the third smallest value? (a) n (b) 2\/9 (c) j (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6062 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*c + 19*c - 18*c as m*c + v and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4256675, -4256685, -4256699, -4256717, -4256739?\nAnswer: -4256765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*i - 4*w + 1, 2*i - 3*w = 4. Let k = 10 + -15. What is the remainder when (-25)\/k - (0 + 0) is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20231 (base 4) to base 7.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**5 - 861*m**4 + 73980*m**3 - 1639764*m**2 - 1714608*m = 0.\nAnswer: -1, 0, 36, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5735609 is divided by 2497?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 + 5*v**2 + 5*v - 2. Let a(o) = -2*o**2 + 6*o - 1. Let b be a(1). Let p be n(b). Solve 9 = p*u + 17 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.01, 8, 1\/3, 1741, 49, -0.1, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 7*k**2 - 10*k. Give d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) -4\/3 (b) -1 (c) -410\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 291*p**4\/2 - 2*p**3\/3 - 2*p**2 + 203*p + 1040. What is the second derivative of w(z) wrt z?\nAnswer: 3492*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/5, -19, -1\/15 in descending order.\nAnswer: 3, -1\/15, -2\/5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*p = 10574 - 3772 for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*t = 0. Suppose t = -7*c + 6*c + 3. Suppose -b**4 - b**5 + 2*b**4 + 2*b**3 + c*b - 4*b - 2*b**4 - 1 + 2*b**2 = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14863719 divided by 741?\nAnswer: -20059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 61453876109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -249*h**2 - 206*h**2 + 497*h**2. Let i(f) be the second derivative of -2*f + 1\/3*f**3 + 0*f**2 + 0. Determine i(v(l)).\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21)\/(-70))\/((-141)\/(-45) + -3). Determine h, given that 3\/4*h**4 - k*h**3 + 0 + 3\/2*h**2 + 0*h = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -753, -752, -751, -750, -749?\n\"Answer: f - 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(10)\/(sqrt(55)\/(sqrt(22)\/sqrt(2))))**2 - (sqrt(6)\/((sqrt(15) - 4*sqrt(15))\/sqrt(5)))**2))*5.\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1064 = 2*s + 4*j - 7*j, j + 534 = s. What are the prime factors of s?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-16) + (-3)\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 5. Let j be c(7). Solve j*m - 3*i + 2 = 0, i + 18 = -m - 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 7*p - 7. Let u be h(-6). What are the prime factors of (((-189)\/(-35))\/(-9))\/(u\/215)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040781805 to the power of 1\/4, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6976\/436 + 518\/(-32)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 283009 - 3298\nAnswer: 279711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 14442286\nAnswer: 14442286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(2\/(-28)*1). Let p be (-6)\/(-16) + 7569\/232. Let j = p - q. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 329 and 2209?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 2, 317, -2.\nAnswer: -2, 2, 12, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257727?\nAnswer: 3, 85909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 7472 (c) -3\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-12)\/(-16)) + 1\/((-99)\/385).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*d - 8376 = 24*d + 394179. What are the prime factors of d?\nAnswer: 3, 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 10*z**2 - 6*z - 20. Determine o(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121110 rounded to the nearest 1000?\nAnswer: 121000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 46, -71, 3\/7?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-20))\/((-3367)\/(-1447810)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 - -52. Let c be ((-3)\/(-3) + 0)\/((-1)\/(-2)). Suppose 0 = -2*a + 2*u - 6, 5 - 1 = -c*a + 4*u. Sort -2, x, a, 0 in descending order.\nAnswer: 0, -2, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(99) + 2)) + 5 + 4)**2.\nAnswer: -28*sqrt(11) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 445\/(-35) + -86 + 99\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 25 + 83 = 0. Is (c\/(-1))\/(15\/10) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 11:59 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by -227\nAnswer: -26\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3474356 divided by -4?\nAnswer: 868589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 12:10 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*j)*(-2*j**2 - 2 + 2) - 2*j**2 + 2*j**2 - 3*j**3 + j**3 + 0*j**2 + 0*j**2.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4))**(-10)*y*y**(-4)*(y**12\/y)\/y*y assuming y is positive.\nAnswer: y**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11981 + -30786. What is u rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -60. Let m = -44 + f. Suppose -3*z - 3*o = -2*o + 10, -16 = 4*o. Put -0.3, z, m in decreasing order.\nAnswer: m, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in -8\/9, 16, -5?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/18*-3 - (-230 + -2). Which is the biggest value? (a) m (b) -0.3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 100714 and 5?\nAnswer: 100709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/110*1*13*(-775)\/(-6045).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 + 13*c**3\/3 - 92*c**2\/3 - 32*c\/3.\nAnswer: c*(c - 4)*(c + 8)*(3*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*q**4 + 4)*(-2*q + 2*q + 5*q)*(4 - 7 + 0).\nAnswer: 30*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**3 + 9. Let s(t) = -7*t**3 - 19. Give 10*d(q) + 6*s(q).\nAnswer: -2*q**3 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**3 - 2*t. Let j(i) = 16*i**3 + 11*i. Let r = 35 + -24. What is r*b(w) + 2*j(w)?\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008159 to four decimal places.\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjje when four letters picked without replacement from ejjjjjjjeejjje.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -136 - -256. Let g = 120.082 - j. Let h = -0.282 + g. Are -10 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = g - 14. Let z(w) = w**2 - 3. Let s be z(3). Suppose -4 = s*f - g. Solve -p + 1 = -f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -321 + 321.4. What is the second biggest value in -0.4, p, 4\/11, -3?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -261.2 + 232. Let u = -29 - p. What is the third smallest value in u, -0.01, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8281 and -538.\nAnswer: -8819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (38 + 46 - 46).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3508 + 4412 = 5*z - 3*o, 0 = 3*o. Calculate the highest common divisor of z and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0254 + -2.5446. Let p = -2.47 - x. Which is the closest to p? (a) -23 (b) -1\/4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2 + 3. Let j = 2 - 2. Let t(x) = -48 + j*x + 48*x**2 + 0*x. Let q(w) = 33*m(w) + 2*t(w). Find the first derivative of q(v) wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13417?\nAnswer: 13417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -16*u + 5. Let f be t(2). Let p = 49 + f. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f = -23*f. Suppose f = y + 2*x - x - 58, -2*x = -2*y + 116. List the prime factors of y.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2157375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10471 - 10450.95. Are p and 0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 171.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -352, -539, -728, -919?\nAnswer: -1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -35445 divided by 417?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/6696903 and 53\/39.\nAnswer: 87059739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 18*q**3 + 1. Suppose -2*a + 3 = a. Let m = a - 0. List the prime factors of i(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.957256 rounded to two dps?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 10 = y - 4*y, 25 = -4*y - o. Let h = y + 9. Suppose -h*m + 106 = -14. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 + 3*k**2 + 2*k + 2. Let f(d) = -d**3 + d**2 - 6*d**2 + d**2 - 3 - 3*d. Let w(p) = 4*f(p) + 6*h(p). What is the third derivative of w(c) wrt c?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n - 2 + 2)*(3 - 4 - 4).\nAnswer: -50*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2006 (base 11) in base 4?\nAnswer: -221230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -1\/5, 4, -29, 203 in descending order.\nAnswer: 203, 4, 3\/8, -1\/5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 14.65. Let c = -0.05 + f. Let y = -5 - -7. What is the smallest value in y, -1\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 219, 220, 223, 228, 235, 244?\n\"Answer: f**2 - 2*f + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1\/3, -5\/237, -2\/5, -334, -1\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a millennium in decades?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626418011?\nAnswer: 19, 4091, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4143 <= -4144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.36 - -7.86. Let x = j - 8. Put x, -0.1, -4\/9 in descending order.\nAnswer: -0.1, -4\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574 + 488 = 9*k. Let x = k - 90. What is the second derivative of -7271 + 7271 - 31*g**5 + x*g wrt g?\nAnswer: -620*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 382, 1\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30146*x + 2*x**3 - 30146*x.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -32*f - 26. Let b be (-4)\/(-26) + (-4)\/26. Suppose 46*x - 43*x + 15 = b. Does 21 divide r(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2337939 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q. Suppose 0 = -m - 0*m + 2*n - 9, 3*m = n - 12. Let s be f(m). Suppose s = -2*u - 2. Let d(t) = -t**3 - 4*t**2 - t + 3. Calculate d(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -11*p - 19. What is x(-19)?\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18609, -18582, -18519, -18420, -18285, -18114, -17907?\n\"Answer: 18*b**2 - 27*b - 18600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*x + 2598 = -438 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0827 less than 0.1?\nAnswer: 0.1827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - h - h + 4, w = -4*h - 2. Suppose n + w*n = 39. Calculate the highest common divisor of 26 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21*0.02\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**4 + 9*j**3 + 11*j**2 + 5*j - 5. Let c(m) = m**4 - 4*m**3 - 5*m**2 - 2*m + 2. Let g(i) = 5*c(i) + 2*w(i). Solve g(h) = 0 for h.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 + 1. Let u(j) = -j**3 + 4*j**2 - 1. Let b be u(4). Let z(x) = x + 1. Determine b*z(y) - i(y).\nAnswer: 2*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42561451 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/8 and 678\/120 + (-2)\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.16701 to 2 dps.\nAnswer: -1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*i + 80*i - 181*i.\nAnswer: -240*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -9*b + 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {v: 9, b: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 98 - 187 + 112 - 2*c**3 + (-c**2 - 2*c**2 + 0*c**2)*(-13*c + 8*c + 6*c).\nAnswer: -5*c**3 + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 914*t**2 + 1. Let u be l(-1). Suppose -u = -5*z + 5*m, 0*m - 12 = -3*m. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 330 + -325. Let c(x) be the third derivative of 1\/24*x**6 + 3*x**2 + 0*x**y + 0*x - 1\/2*x**3 + 0 + 0*x**4. Differentiate c(m) with respect to m.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155595733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 71 = 2*l, -2*l - 11 = -b + 62. Let g = -25 - l. What is the highest common factor of 24 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(162) + (sqrt(162) - (sqrt(162) - (1 + sqrt(162))))) - 6*(sqrt(162) + 1)) + -3 + 3)**2.\nAnswer: 3888*sqrt(2) + 52632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*n + n. Let x = n - -8. What is the units digit of (-18)\/3*x\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 + 4955*b**3 - 4955*b**3 + 63*b**4 + 49*b to the form x*b**2 + u*b**4 + a*b**3 + q*b + m and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2507 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7586 less than 0.39183?\nAnswer: 1.15043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 5*p - 5 = 0, -12099*g + 12095*g = 2*p - 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -1 (c) -0.3 (d) 38 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -b + 9, -g + 5*b = 2*g + 31 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 9*b = 5*b - 35, 2*b + 30 = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**2\/2 + 9*i - 1. Let n(r) = 2*r - 22. Let m be 11 + 6\/(72\/3)*(-1 + 5). What is m*b(u) + 5*n(u)?\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17162 - 3974. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -9, 22, 73, 150, 259, 406, 597?\nAnswer: 838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(125) + -4 + sqrt(10)\/(sqrt(32) + sqrt(2)) + (sqrt(720) - (sqrt(720) - -1*sqrt(720)))).\nAnswer: 20 + 34*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 668 and -3294563.\nAnswer: -3293895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3104027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*r - 236 = 0, 2*z + 248 = 6*z - 4*r. Let a = z - 55. Calculate the lowest common multiple of a and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2397*m + 2397*m - 78*m**2 + (2*m - 3*m + 0*m)*(0*m + 2*m - 3*m) + 4*m**2 - m**2 - 2*m**2.\nAnswer: -76*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -5*i**2 - 4\/45*i**5 + 0*i**3 + 0 + 1\/336*i**8 + 1\/18*i**4 + 23\/360*i**6 - 1\/45*i**7 + 0*i. What is x in h(x) = 0?\nAnswer: 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402766, -403719, -404670, -405619, -406566, -407511?\nAnswer: -408454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 528319292 to the power of 1\/2, to the nearest integer?\nAnswer: 22985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*l**4 + 3*l**3 + 109*l**2?\nAnswer: -720*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 886 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z - 8. Let v be o(-6). Suppose -5*i + j = -77, v*i - 5*i + 19 = j. Suppose 3*u + u = 8. Solve 0 = u*r + 2*r + i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1183, 1066, 851, 538, 127?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63144225 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 - 104. Which is the closest to x? (a) -0.07 (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 6\/5, -1, -2 in ascending order.\nAnswer: -50, -2, -1, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - 75*q + 104. Calculate n(36).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-38))\/(1968\/(-361456))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4db06 + 5de?\nAnswer: 4e0e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3 = -10. Let l(p) = 3*p**2 - 59*p + 19. Let g be l(20). Suppose 110*h - g = 107*h. Is r at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 10, 2*o = 3*h + 4*o - 46. Let k = h - 6. Calculate the greatest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2364 and -131\/7092.\nAnswer: 7092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 5)\/(4\/(-34)). Let f = -23 + m. Solve 0 = -3*a - 2 + f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11153056861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.42 + -5.52. What is the nearest to -30 in 2, 1\/4, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, 961, 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 58, 0.2, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**5 - 6258*w**4 - 6280*w**3 + 131438*w**2 + 6279*w - 125180 = 0 for w.\nAnswer: -5, -1, 1, 4, 6259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**4 - 20*j**3 - 78*j**2 - 8*j + 104 = 0?\nAnswer: -2, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 1. Let a(h) = h. Let r(w) = 6*a(w) + 3*q(w). Let v(t) = 105*t - 105. Let j(b) = 13*b - 13. Let s(o) = 49*j(o) - 6*v(o). What is 9*r(f) - 4*s(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2. Let g(x) = 499*x - 157. Let w(v) = 278*v - 79. Let c(o) = -6*g(o) + 11*w(o). Determine c(u(d)).\nAnswer: -128*d**2 + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s**3 - 26*s**2 - 65*s - 1. What is the ten thousands digit of g(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 - 6*f**2 - 8*f**2.\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -4*a + 34. What is the lowest common multiple of 23 + (1\/4)\/(14\/a) and (-3)\/((-24)\/(-26) - 1)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32430441 (base 5) to base 8.\nAnswer: 1043071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 12*z**2 - 12*z - 7. Let m = 161 + -165. What are the prime factors of p(m)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 0*g**2 + 0*g**4 + 0*g**3 - 9*g + 0 - 1\/5*g**5. Solve f(c) = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 308793*d*r**4*t**2 - 7*d*r**3*t + 36*d*r - 497*d - 152*t**2 wrt r?\nAnswer: 3705516*d*r**2*t**2 - 42*d*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j - 256 = -190 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, z: 1, l: 5, e: 4}. What is prob of sequence kle?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 5. Is (58\/2)\/(q\/(-52)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -564*t**3 + t. Let r be b(-1). Suppose -5*d = -4*l - r, -d + 2*l + 156 - 47 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-1 - 0 - -47). Let y = 31 + -26. Suppose y*u + 2*t + t = 25, 5*u - t = 25. What is the highest common divisor of f and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000111000 - -1010110110011?\nAnswer: 10100111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -534*-678988.\nAnswer: 362579592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40030152 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5 - 4) + 8)\/((-39)\/(-13))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -m + 4*m. Suppose -1444 = m*k - 18*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6751, 6749, 6747, 6745?\nAnswer: 6743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 194618873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -437 (c) -1061\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -61*h**2 - 6*h + 6. Let y be w(-6). Let d be 7\/49 - y\/14. Suppose 4*q - d = 2*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 9*g - 12*g + 4*g + 2. Give o(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7501 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 79*r**2 - 69*r + 1007. Let y(b) = -15*b - 4. Calculate the remainder when s(-80) is divided by y(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/125 and 107\/350.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 111 - 39. Solve f - 4*f = k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 5*t**2 - 5*t - 4. Let n be z(6). Suppose 0 = n*p - 13 + 3. Let r(a) = -a + 7. Let d(l) = 2*l - 15. Let v(g) = -6*d(g) - 13*r(g). Give v(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**3\/3 - 73. Let f(i) = -33*i**2 - i. Give f(y(l)).\nAnswer: -33*l**4 - l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*w + 7*w - 3024. What is the second derivative of -3*x**2 - 4*x**3 - 9*x**3 + 153*x + w*x wrt x?\nAnswer: -78*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31339 + 31330.93. Is i >= -6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -98 (b) 40.32 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*n - 14, -4*l - 3*n = 1. Calculate the least common multiple of l and 3\/(3\/20) - 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/4 (b) -0.109 (c) -0.3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18468)\/(-4860)*5\/(-5)*15.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 2*w + 10*w**2 + 0*w + 31 + 16*w**2.\nAnswer: 26*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -19*k - 83\/30*k**6 - 1\/3*k**4 + 0 + 0*k**3 + 0*k**5 - k**2. What is the third derivative of g(m) wrt m?\nAnswer: -1992*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-15)*2\/(-12). Let t = -6.1 - -1.1. Put t, -0.3, m in ascending order.\nAnswer: t, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/24 + 11\/6. Let x(c) = -4*c**2 + 3*c. Give x(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4061, 8200, 12347, 16508, 20689?\nAnswer: 24896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34158 or -34147?\nAnswer: -34158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*p**3 - 44*p**2 - 13*p + 328195 wrt p.\nAnswer: -63*p**2 - 88*p - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3446659 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 649, 648, 647, 646?\n\"Answer: -t + 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdj when three letters picked without replacement from dddjjjdjzd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 133237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, j: 1, n: 2, x: 1, k: 1, v: 2}. Give prob of sequence jvc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnqhvvvnvnhnvvvnnhv. What is prob of picking 1 v and 1 q?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 2.639501?\nAnswer: 10.558004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 38*f**2 + 468*f + 97. Let d be h(15). Round d to the nearest 100.\nAnswer: 15700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4807701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.15 + -27.85. Which is smaller: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d + 37. Let y be f(4). Suppose 0 = 23*a - y*a + 42. What is the highest common factor of a and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1037?\nAnswer: 5\/1037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 2248962?\nAnswer: 5\/2248962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 1. Let z = -0.011 - -0.211. What is the nearest to l in -2\/7, 0.5, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 + 120*c**2 + 34691*c\/3 + 163540.\nAnswer: (c + 17)*(c + 148)*(c + 195)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 45 - -18) + -18 + -18.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -429 + 389 + -2 + -12\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a + 7*a + 5*a + 6*a + 148 + 8*a. Let g be f(-7). Let x(c) = -5 + 6*c**2 + c + 2*c + c**3 - 5*c. What is x(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/6)\/(((-286)\/(-78))\/11)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t = 2*q - 91 + 111, q = -t - 23 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*y - 30*y = -281*y + 17521 + 10813 for y.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3*sqrt(432)*-3 - sqrt(432)))\/(5*sqrt(36)\/((sqrt(27)\/sqrt(3) + sqrt(9))*-5)).\nAnswer: 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12734 - -12736. Let v = 1 - 0.7. Let u = 2 + -5. What is the second smallest value in -1\/4, v, a, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 118 - 118 - d**2. Let g(w) = 23*w + 3*w**2 - 8*w**2 - 23*w. What is y(g(o))?\nAnswer: -25*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467629 is divided by 3316.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 52*j. Let o(z) = 52*z**2 + 16543 + 30*z**2 - 16543. Calculate g(o(d)).\nAnswer: 13448*d**4 - 4264*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205128681?\nAnswer: 3, 17, 239, 16829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 773709 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**6\/120 - i**5\/12 + i**4\/8 + 2*i**3 - 8*i**2 + 1. Calculate the least common multiple of (-20)\/25*(-30)\/4 and b(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 5:22 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0245, -744, 1.\nAnswer: -744, -0.0245, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -929569049832+-74\nAnswer: -929569049906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*(-18)\/(-1944)*261\/493?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 226, 0.2, -54.77?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7543772 is divided by 1735?\nAnswer: 1727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -6*n + 229. Suppose -4*b + 114 = -n. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**3\/3 - 7*w**2\/2 + 4*w - 3. Does 4 divide b(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 72*y = 69*y + 63, 5 = 5*y. Let q = -24 + 53. Is q smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + -3)*-6 + sqrt(300) + (sqrt(300) - -5*(1 + sqrt(300)))**2 - (sqrt(300) + sqrt(300)*-2 + 3 - ((sqrt(300) - 3*sqrt(300)) + -3))**2.\nAnswer: 430*sqrt(3) + 10507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**5\/3 + 4*r**4 - 2*r**3\/3 - 76*r**2\/3 + 64\/3 = 0?\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -2\/3169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-366444)\/(-21060)*((-10)\/(-6))\/1*(-5 + 0).\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b + 2*b**3 - 3*b**3 + 3*b + 4*b**2 as j*b + i*b**3 + p + z*b**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.054 + -3.046. Let m = x + 3. Which is the nearest to m? (a) -2 (b) 2\/13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5 = 82*a - 80*a, -2*o = -3*a - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56200091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120112 (base 4) to base 9.\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iex when three letters picked without replacement from {i: 1, w: 3, v: 4, x: 1, e: 4}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttsos. Give prob of sequence ott.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 6*d + 4. Let i be m(-5). Is 0 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*v + q + 14, 24 = 2*v - 123*q + 121*q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = x - 2*x + 1, 0 = 4*v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*(-4 + (5*sqrt(1377) + 4 - (4 + -3*sqrt(1377)))*2))**2.\nAnswer: -21600*sqrt(17) + 8813025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 + -124. Let d = -68 - k. Sort 1\/4, -2, -0.2, d.\nAnswer: -2, -0.2, 1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4128 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11233 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 3*a - 6. Let h = 9 + -4. What is the units digit of y(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 4 (b) 5 (c) -7 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.2 - 1.2. Let f be (6\/9)\/((-4)\/15). Which is the nearest to i? (a) f (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 0, -f + 2*a - 5 + 1 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-2))\/(4 - 2). Let z(f) = f**2 - f - 4. Let v be z(i). Suppose 2*m - 19 = -0*m + 5*q, v*m + 2 = -2*q. Solve -m*u - 4 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/110)\/((-56)\/10416*-93).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14138\/27 or 524?\nAnswer: 524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 w, 1 k, and 1 g when four letters picked without replacement from vwgdkkdklld?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 9\/3 - -2. Suppose -f - 8 = -5*v. Solve -3*o + 6 = -v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -1\/54*i**4 + 5\/9*i**2 - 35 + 4\/27*i**3 - i. Factor c(k).\nAnswer: -2*(k - 5)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -763*k + 64087. Give u(84).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 17. Let j = k + 41. Let q(l) = 43*l - 215. Calculate the remainder when q(6) is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6167614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1727, -6908, -15541, -27626, -43163?\nAnswer: -62152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -454524 (base 8) in base 12?\nAnswer: -75104","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1764*n**3*y**2 + 3632*n**3*y + 2*n**2*y**2 + 41*n**2 + 1259*n*y**2 + y**2 wrt n?\nAnswer: -10584*y**2 + 21792*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/492? (a) 0.2 (b) 2 (c) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1899, 2\/7, 12\/13, -0.1?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2241175902?\nAnswer: 2, 3, 7, 173, 308447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k. Let o(q) be the third derivative of 307*q**4\/3 - 940*q**2. Calculate o(c(f)).\nAnswer: -4912*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-135506)\/52)\/7)\/(2 + -211). Let k = 5\/418 - y. Calculate the common denominator of 8\/(-14) - 5205\/(-840) and k.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*o - 1, 0 = 2*o + 2*o - l - 5. Let r = 3 + o. What is the derivative of -6 - r*b**2 + 2 + 6*b**2 wrt b?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 - 0.17. Which is bigger: 0.2 or u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*l - 2 = 0, -6*h + 2*h - 5*l + 44 = 0. Let a = 3 - 2. What is the least common multiple of (-44)\/6*(-9)\/h and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8\/13, -1, -7\/3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -106.3 * -0.05.\nAnswer: 5.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 192220169.3 rounded to the nearest 100000?\nAnswer: 192200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**2 - 938742*q = 0.\nAnswer: -938742, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33, 107, 211, 333, 461, 583, 687, 761?\n\"Answer: -2*g**3 + 27*g**2 + 7*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/(2\/6*-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**3*p**3 + 261*i**3*p**2 + 1105*i**2*p**3 - 2*i*p**3 - 9*i*p**2 - 2 wrt p.\nAnswer: 18*i**3 + 6630*i**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p. Let w(x) = -47*x - 7. Determine d(w(s)).\nAnswer: 141*s + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2443 + -2409. What is the greatest common divisor of 3043 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -0.1. Let g = 0.0048 - 52.2048. Let b = g - -52. What is the nearest to c in b, 4, -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574304 - 504310 = -17397*m for m.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2132 + -10?\nAnswer: -2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 146128864 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 13. Let n = 71 - 87. Let y be i(n). Let v = 15 - 10. Solve -7 = -v*t + y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*o + 2*s, o + 0*o + 4*s - 22 = 0. What is the third derivative of -o*a**2 - a**4 + 0*a + 0*a wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 1*0\/1. Let g(a) = -a + 1. Let x(p) = 3*p - 5. Let l(u) = 5*g(u) + x(u). Let j be l(-1). What is the nearest to j in t, -2, -3\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1961*k - 1062?\nAnswer: 1961","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*z = -8, 7 = -j + 5*j - 3*z. Suppose x - j = 1. Suppose x*i - 5250 = 8*i. What is i rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**2\/2 + f + 2. Let s be (1\/2)\/((-3)\/(-6)). Let x be i(s). Are 1\/2 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -16*j - 30. Let n(a) = -a - 15. Let w be n(-6). Calculate the remainder when y(w) is divided by 8\/12*(-174)\/(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12101837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + ((sqrt(15)*3)\/sqrt(3))**2 + 0.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -4. Suppose 10 = -2*l + 7*l. Solve b = 4 - 2, -r*x - 4*b = -l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - x**4 + 2*x - 5*x)*(20 + 2*x - 17 - 4*x).\nAnswer: 2*x**5 - 3*x**4 + 2*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/5 - 12*x**3\/5 + 3*x**2 - 6*x\/5.\nAnswer: 3*x*(x - 2)*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**5\/4 + 83*y**4\/4 - 173*y**3\/4 - 255*y**2\/4 = 0.\nAnswer: -85, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -1775?\nAnswer: -1767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30205.\nAnswer: 5, 7, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 366*q**4 - 3*q**2 + 8*q**2 + q**3 - 362*q**4 in the form v*q**3 + z*q**2 + t*q**4 + j + f*q and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 0*j - 7\/60*j**6 + 0 - 1\/24*j**4 + 1\/6*j**3 + 1\/60*j**5 + 211*j**2. What is the second derivative of r(s) wrt s?\nAnswer: -84*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t - 3*t**2 - 3*t - 2*t**3 + 25 - 23. Suppose 2*u + 2 = u. List the prime factors of r(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-18)*(-2)\/(-2)*85\/(-1190)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103233212 (base 4) in base 11?\nAnswer: -55839","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -352.24 + -4.76. Let c = x - -357.0000022. What is c rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 12) to base 14\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 1:03 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 970 divided by 3\nAnswer: 970\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (450*l - 2265*l - 2014*l - 1372*l)*(0*l**2 + l**2 + 0*l**2).\nAnswer: -5201*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - g - 1. Let x(b) = b**2 - b - 4. Let y(c) = x(c) - 3*z(c). Let o be (12 + 3 - (13 + 0)) + 6*(-5)\/(-15). Determine y(o).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06606 to four dps.\nAnswer: 0.0661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4942 * 18\nAnswer: 88956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20, 56, 128, 254, 452, 740, 1136, 1658?\n\"Answer: 3*y**3 + 15*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2383 - -0.44605. What is r rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52122623 and 1449.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/7*p - 3\/7*p**2 - 12\/7.\nAnswer: -3*(p + 1)*(p + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 53*x**6\/30 - x**5\/20 - 5*x**4\/6 - 10*x**3\/3 - 10*x**2 - x. What is the second derivative of b(f) wrt f?\nAnswer: 1272*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-3\/4))**(1\/9)\/(p**(2\/3)\/p*(p\/(p*p**(2\/7)*p)*p)\/p))**24 assuming p is positive.\nAnswer: p**(914\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (84\/(-10))\/(11\/(-110)). Suppose 2*u - 44 = -2*f - 2*f, 3*u - o = 3*f. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19714 divided by -7.\nAnswer: -19714\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + a + 12, 5*r - 208 = 3*a - 148 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, 15, 0, 1\/7, -816?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-14)\/49 + 267\/(-70) and -123\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -9 - 16*i**2 - 6*i**2 + 7*i**2. Let r(d) = -8*d**2 - 4 + 2*d - 2*d - 1. Give -5*h(z) + 9*r(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2239*b**2*m**3 - 16*b**2*m**2 + 14*b**2*m + b*m**3 + 2*b*m**2 - 9*b*m - m**3 wrt m.\nAnswer: -13434*b**2 + 6*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -112030.3 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 + 4*q**2 + 5*q - 1. Let j be n(-9). Is j\/(-8)*(-4)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 15*n + 215. Let i be y(-14). Let g(q) = -6. Let v(b) = b - 7. What is i*v(w) - 6*g(w)?\nAnswer: 5*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + 5*o**3 - 24 - 4*o + o**2 + 26. Suppose -30 = -5*m + 50. What is the remainder when t(2) is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8982738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from {n: 2, u: 3, y: 13, j: 2}?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187 and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-1 + 3 - 3)*((-2*v + 1 - 1)*(-4 - 1 + 2) + v - 4*v + 4*v).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.66 - 15.02227.\nAnswer: -16.68227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 49*v**2 + 50*v + 115. What is p(-50)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -2 + 1\/4*z**4 + 4*z + 5\/3*z**3 + 2*z**2. Let j be (-1)\/((-26)\/(-8) - 3). What is b(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (64\/10)\/(6\/15). Suppose -n = z - 68. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-140) - 2 - -2. Let r(m) be the first derivative of -2\/21*m**3 + v*m**5 + 1 + 0*m**2 + 0*m + 0*m**4. Solve r(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -10. Let b(q) = q**3 + 3*q**2 - 3*q - 3. Let m be b(-3). Solve 0 = -w - m + s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3444927 (base 11) to base 6.\nAnswer: -333040221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/(-5))\/((-756)\/(-360)) - 3. Which is the nearest to 0.1? (a) 2\/15 (b) q (c) -4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 67*h - h**2 + 0*h**4 + 0 + 11\/6*h**3 - 18\/5*h**5. What is the second derivative of o(k) wrt k?\nAnswer: -432*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5403191, 5403195, 5403199?\n\"Answer: 4*i + 5403187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 16\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 8 = 2*q. Let v = 3 - q. Sort v, -1, 0 in decreasing order.\nAnswer: 0, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/6, 0.8, 150 in descending order.\nAnswer: 150, 0.8, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x\/((x\/x**(2\/7))\/x))\/(x\/x**(-1\/4)) assuming x is positive.\nAnswer: x**(85\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 5*j**2. Let l be 203\/(-63) - (-4)\/18. Let y = 2 - l. Give r(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2882 + 4258. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/56796 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 + 116 - 86 + 383 - 13.\nAnswer: u**3 + 400","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 14. Let w be y(0). Let z = -27 - w. Round z to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4010662 is divided by 802103.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + (-6 - (-6 + 2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -114 + 113.99984. Round v to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1))**(-23\/6)\/(n**(1\/17)\/(n*n**23)) assuming n is positive.\nAnswer: n**(407\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1989 is divided by 496?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1631, -3267, -4903, -6539?\n\"Answer: -1636*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 4. Let p = -0.84 - -1.24. Which is the smallest value? (a) 0.5 (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -7, -3\/4, -2\/9, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10133*k**2 - 334391*k - 66.\nAnswer: -(k + 33)*(10133*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from bbbbybyybbbbbbbbybb.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -37889 - 7?\nAnswer: -37895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00403 - -2732899.\nAnswer: 2732898.99597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 3)*(2 - 4 + 1) + 0 + 3 - 4)*(0*c + 0*c + 2*c)*(2*c + 0*c + 0*c) - 2*c**2 + c**2 + 4*c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, o: 2}. Give prob of sequence oo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v. Let c(y) = -154*y. What is d(c(r))?\nAnswer: -462*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l. Let p(t) = -3*t - 5. Let a(j) = 2*j + 3. Let s(o) = 10*a(o) + 6*p(o). Determine u(s(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 4100*f**2 - 80095*f - 3036200.\nAnswer: -5*(f - 799)*(f - 40)*(f + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - 6*u**2 + 2*u - 4. Let m be q(4). Suppose 2*r + 6 = 5*r. Suppose -p + r*p + 5*i - 27 = 0, 2*p - m = -4*i. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -8)*1\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 218 - 218. Suppose -16*y - 7*y + 874 = c. Do y and 186\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 2 - 5*o + 18*o**2 - 19*o**2 - 8. Let d(i) = i**3 - i**2 - 5*i - 5. Let p(b) = -4*d(b) + 3*s(b). What is the units digit of p(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.25 - -0.25. Let p = 11.0000024 + x. Round p to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c + 5 - 2*c + 0*c - 12 + 4. Let b(w) = -w**2 - 4*w - 2. Give 5*b(p) - 4*s(p).\nAnswer: -5*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11951405.\nAnswer: 5, 883, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**4 - 2*h - 90*h**2 - 4 + 5 + 109*h**2 - h**4 to the form o*h**4 + s*h + v + g*h**3 + w*h**2 and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158658 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 122*a - 339 wrt a?\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + sqrt(539) - ((-1 + sqrt(891))**2 + sqrt(11) - sqrt(11)))*-1.\nAnswer: -25*sqrt(11) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = a + 3*j, 9*j = 4*j. Solve -31 = a*o - 25 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 9*x**2 - 9*x + 4. What is m(-7)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 265116993?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 3*z**2 - z + 1. Let c be p(-3). Let j(a) = -a**2 - 8*a - 3. Let w be j(-5). Suppose 4*v = 12 + w. Solve c*h - v - 6 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 583087068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**5 - 46640*m**4 - 186500*m**3 - 186480*m**2.\nAnswer: -5*m**2*(m + 2)**2*(m + 9324)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13514 and 116.\nAnswer: 27028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*t + 21 = 0, -p = t - 3*t - 12. Suppose 3*u - 94 = i, 3*i - 152 = -p*u - 3*u. Let n = -15 + 26. Calculate the remainder when u is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*z, -4*u + 5 = -2*z - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w + 2*w**2 + 3*w + w**4 - w**2 - 4*w to the form h*w**4 + o*w**3 + g*w**2 + q + s*w and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 5*y**4\/12 + 5*y**3\/6 - 4*y**2. Suppose 13*h = 37 + 15. What is the tens digit of s(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d. Let l(r) = 15*r + 2*r - 4 - r - r. Let f(c) = -30*c + 9. Let x(a) = -4*f(a) - 9*l(a). Determine w(x(q)).\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -91*((-405)\/63 - -6). Calculate the greatest common divisor of s and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/177 and (-42 - -47) + ((-166)\/33 - 1).\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r = 64. List the prime factors of (0 + 3)*r\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2864.061l to millilitres.\nAnswer: 2864061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -13*f**4\/4 - 9*f**3\/2 + 17*f. What is the second derivative of h(v) wrt v?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*g, -8*n - 357 = 5*g - 334 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2*n = 12, 4*n = -26 + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19763 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4 + 62568*u**3 - 438108*u**2 - 1063912*u - 563238 = 0. What is u?\nAnswer: -31291, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 5 = 0, -2365*r + 2360*r + m - 35 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = d - 10*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 737, 4, 3 in decreasing order.\nAnswer: 737, 4, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p + 1 - 2*p - 18*p**3 + 21*p**3 to the form g*p**3 + w*p + c + v*p**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) -1\/16 (c) 3 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, a: 2, n: 4, w: 4}. What is prob of picking 1 a and 1 y?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 2*m - m)*(3*m**2 + m**2 - 2*m**2) - 6*m**3 - 3*m + 3*m + 3*m**3 - 6*m**2 + 2*m**2 + 2*m**2 + 3 in the form t*m**2 + x + k*m**3 + s*m and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlmmgmllgglmcgm. What is prob of picking 1 m and 3 l?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.082 and 99.927?\nAnswer: -8.194014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 16*j + 14*j - 44*j + 2 + 10*j + 5*j**2. Determine o(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(34)\/(sqrt(4)\/sqrt(50))*-1 + (sqrt(153)\/(-2*sqrt(3)))\/(sqrt(27)\/(-2*sqrt(9))) + -3.\nAnswer: -4*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4081 is divided by 814?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11096)\/396 - 99\/((-1881)\/532).\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -0.19.\nAnswer: 2.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*z - 19, 4*z - z - 29 = 4*x. Suppose -5*l + 4*c - 8 = 0, 4*l + c = -4*c - 31. Is (-125)\/l + x\/20 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/7*(2\/(-14))\/(15\/(-105))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m - 15 + 15. Let v(r) be the second derivative of r**3\/2 - 2*r. What is u(v(j))?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - g**2 - 2*g + 2. Let t be p(2). Suppose -10 = -4*u + t*u. Let y = u + -4. What is the remainder when y is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/(-5) + 44\/55. What is the third derivative of -13*y**a - 5*y**4 + 22*y**4 - 16*y**4 + y**5 - 62*y**2 wrt y?\nAnswer: -720*y**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g + 109. Let l be y(20). Suppose -3*k + 3451 = 4*s, -s = 4*k - l*k + 5790. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -80. Suppose -3*s - 4*g + p = 0, -g + 0*g + 2 = 0. Let y be -1*(-3)\/s*3. Solve 1 = t - y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 27. Suppose -s*r - 98 = -4*a + 3*a, 0 = -4*r. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.66 - -0.944. Let w = z - 0.2838807. What is w rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/12 - 525\/(-20)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15006.1375 from -104661.\nAnswer: -89654.8625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2057 or -2080?\nAnswer: -2057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 1\/24*w**4 - 1\/120*w**6 + 0 + 0*w + 9*w**2 - 1\/60*w**5 + 0*w**3 + 1\/210*w**7. Determine f so that r(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**5\/15 - 3644*a**4\/15 - 18166*a**3\/15 + 7316*a**2\/15 + 29072*a\/5 = 0.\nAnswer: -1817, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/4)\/(3\/(-10)). Solve -5*a + 2 = u, -3*u + a = -o*u - 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.35 - -0.05. Suppose b - 5*b = -20. Let p = -5.8 + 4.8. What is the nearest to p in f, b, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-30)*90\/(-36) - 50\/(-12).\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1196, -2386, -3566, -4730, -5872, -6986, -8066, -9106?\nAnswer: -10100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 3, 12, 2 in decreasing order.\nAnswer: 12, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*n + 25 = 2*b, 0 = 4*b + 2*n - 16. Solve -4*z = q - 4*q - 6, b*z - 5 = 2*q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16937.58836 from -4.\nAnswer: 16933.58836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from foooyoyooooootto.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*l**2 - 77*l**2 + 30*l**2 - 62*l**2 + 34*l**2 + 34*l**2.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 182313172 or -2\/7?\nAnswer: 182313172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 9:51 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 72 = -2*r - 15*b, 3*r + 4*b = 100. Calculate the least common multiple of r and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2896 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -27.7?\nAnswer: 110.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 u when three letters picked without replacement from unwnnuu.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + (sqrt(104) + sqrt(104) + (sqrt(104) - (-1*sqrt(104) + sqrt(104))))*-5 + 2*sqrt(104)*-1)\/(sqrt(56)\/(sqrt(7) - sqrt(63)*-3)).\nAnswer: -160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 133796 divided by 4?\nAnswer: 33449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4*w + 6. Solve 0 + w = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 98*w**4 - 3*w**3 + 87*w**2 - 71814.\nAnswer: 392*w**3 - 9*w**2 + 174*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r. Suppose 4*b + 13 = -11. Let z(s) = -13*s + 6. Let h(a) = -456*a + 209. Let n(d) = b*h(d) + 209*z(d). What is o(n(c))?\nAnswer: -38*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 26 = -4*s, 0*f + 33 = -5*f - 3*s. Let r be (14\/(-12) - -1) + 23\/f. Let g(m) = -m**3 - 3*m**2 + 5*m + 1. Determine g(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(605) - (-2 + sqrt(605) + sqrt(605))))**2.\nAnswer: -1584*sqrt(5) + 21924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*r + 3. Let l be (18\/(-45))\/(1\/(-5)). Let j be l - (4 + r)\/(-5). Solve 0 = -2*y - j*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4956*l + 160341 - 188365 = 270911 + 152061 for l.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express b + 2*b - b + 5*b as w + v*b and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 3*q - 1. Let u be p(2). Let o(y) = 1. Let n(k) = 17*k**2 + 15*k + 6*k**2 - 18*k**2. Let l(b) = u*n(b) + 10*o(b). Let l(c) = 0. Calculate c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 y when three letters picked without replacement from {a: 2, y: 10, s: 1, q: 7}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 3. Let z be l(-5). Let a be (z - 0\/2) + 3. Sort a, 3, 2\/5 in decreasing order.\nAnswer: 3, a, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhiiiihhhhhiihhihhh. What is prob of sequence hi?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 101072958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 99\/4. Let l = 0 + 1.3. Let y = 3.7 + l. Which is the third smallest value? (a) y (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 315, 632, 949, 1266, 1583?\nAnswer: 1900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7187 (base 11) to base 10.\nAnswer: 9533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 25.2. Let r = 238.9 + -229. Let g = r - v. Round g to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10612099019 - 10612098245.9999629. Let x = a + -773. Round x to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 + 0*g + 4*g - 906*g**2 + 2 + 905*g**2 as y*g**3 + a*g + u*g**2 + w + o*g**4 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 6*t**2 - 3*t - 6. Suppose 3*d = 3*l + 6*d - 126, 5*l - 210 = -4*d. Let n = l + -26. Calculate the lowest common multiple of n and r(7).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*t - 54*t - 24 = 0. Suppose -3*l = -4*l - 1. Let z be l + (3 + t - -2). Solve -b + 4*r + 17 = z, 3*b - r = 1 + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3 = -3*i. Let u = 405 - 407. Let a be (0 + -1)*u\/i. Solve 4 = -a*h + h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -5\/8 = -80.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1264\/(-6) + (-4)\/(-6). Let a = 336 + n. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 81\/4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + (-2*sqrt(128) - sqrt(128))**2 + 5.\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108*t + 752\/7 + 4\/7*t**2.\nAnswer: 4*(t + 1)*(t + 188)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9803 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -58*d - 332. Is 7 a factor of n(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5472219 to the nearest one hundred thousand.\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-2) + 4\/20*0. Let t = 0.18 + -0.08. Let b be 36\/77 - (-4)\/(-22). What is the nearest to t in -0.2, y, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b, -5*k - 3*b - b = -15265. Let z = k - 2142. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130519 divided by 130519.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 18*p - 13)*(-3*p + 28*p**3 - 29*p**3 + p).\nAnswer: -18*p**4 - 36*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8729 + -3984. Let h = -127013\/10 - f. Calculate the common denominator of 61\/10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h + 5. Let x be n(-5). Let g = x - -24. Let p(c) = -2*c + 8. What is p(g)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j - 6. Let x(c) = 1. Let d(g) = -h(g) - 6*x(g). Let b(n) = -n. Let i(r) = -2*r. Let f(p) = 3*b(p) - 2*i(p). Give d(f(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 6:19 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*m - 11. Suppose 4*t = -3*x - 2, -x + 2*x - 3 = -m*t. Let h = -3 + 7. Sort x, -12, h in increasing order.\nAnswer: -12, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 3*k - 6 = w, -3*w = 2*k + 7. Let q be -7 - (6 + w - 5). Put 1, q, -3 in ascending order.\nAnswer: q, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 4*g + 30.\nAnswer: -2*(g - 5)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 24*t - 63.\nAnswer: -(t - 21)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -2\/3. What is the closest to m in -3\/4, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 1\/5 (c) -18 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 0*v**3 - 3\/20*v**5 + 3\/14*v**7 + 0 + 0*v**2 + 1\/2*v**4 - 2\/5*v**6 + 50*v. Factor c(d).\nAnswer: 3*d**2*(d - 1)**2*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -18313 greater than or equal to -27\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfhthftthfff. Give prob of sequence tf.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = -2*s + 493*q - 489*q, -4*s - 2*q = -q + 30 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1539 is divided by 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -40, -60, -74, -82, -84, -80?\n\"Answer: 3*n**2 - 35*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.644568 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-1190) + (-198)\/1683 - 138\/(-2730)*-8?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-18)\/24)\/((-2)\/(120\/(-9))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/(-70)*155)\/(2\/(-16)). Suppose -p - 4*y = -n, -y + 3 = -2. Calculate the highest common factor of p and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/18 - (-2 - -6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 35 + 397. Suppose -2*o + l = -109, r + 75 = 3*o + 5*l. Suppose 2*v = -2*m + 66, 5*v - m - 79 = o. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8.1271377 milliseconds?\nAnswer: 0.00000225753825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 + 9*r - 3. Determine v(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -13273*c + 881*c - 6689*c - 2616*c as n*c + a and give n.\nAnswer: -21697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 399, 5, 57 in decreasing order.\nAnswer: 399, 57, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240 = 3*h - 19*j + 67*j, -2*h + 5*j - 2*j - 4 = -h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -194 + 135.4. What is r rounded to the nearest integer?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1077*r**2 + 94*r + 22. Let z(a) = -1885*a**2 + 164*a + 38. Calculate -19*l(u) + 11*z(u).\nAnswer: -272*u**2 + 18*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*sqrt(76)\/sqrt(4) - sqrt(19)).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-16*g - 31*g - 61*g)*(-6 + 0 - 2).\nAnswer: 864*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 - 6905*n**2 - 290451*n\/2.\nAnswer: n*(n - 13831)*(n + 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 5*t - 4. Calculate a(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 83 divided by -235\nAnswer: -83\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 59, 0, 123960 in ascending order.\nAnswer: -2, 0, 5, 59, 123960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 885 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 462 + -459. Let y be ((-13)\/(-182))\/(2\/16). Which is the second biggest value? (a) -0.13 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/(-4))\/(3\/(-4)). Let x(w) = 3*w - 10. Let p be x(3). Let q be (1\/p)\/((-2)\/14). Solve n*u = 8 + q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644 is divided by 171.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -764 * -0.5.\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 529310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*q + 12 = 6*j, 6 = 2*j - 3*q. Let f be (6\/j)\/(3\/33). Calculate the greatest common factor of f and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 a, and 1 y when three letters picked without replacement from {o: 1, a: 1, d: 2, y: 2, j: 1, b: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q**2 - 25*q + 1. Let s(c) = -9*c**2 + 38*c - 1. Let j(a) = 5*s(a) + 8*v(a). Let o be j(3). Solve o = -2*p + 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 times -2.9\nAnswer: -78.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1766320 is divided by 588770?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3*q**3 - 189*b**3*q**2 + 3*b**3*q + 2*b**2*q + 2*b wrt q.\nAnswer: 12*b**3*q - 378*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3498, -2, 3, -5, -4, -507 in decreasing order.\nAnswer: 3498, 3, -2, -4, -5, -507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -89\/13?\nAnswer: -89\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-12) - 51\/(-18). Suppose 0 = -4*n + 4, -5*f - 8*n = -r*n - 70. Calculate the greatest common factor of 13 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7007.352m to nanometers.\nAnswer: 7007352000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r - 12. Let y be m(-6). Suppose -6*f + 3*f + y = 0. What is the remainder when 22 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 21. Suppose 4*k + m*k = 126. Suppose 4*w - 51 = k. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -14.8. Let s = -0.8 - p. What is the nearest to 1\/3 in -0.4, 4\/3, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6394 - -10259. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from coocohohooccohuoood?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -193 + 589. Is 33 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 469 - 17. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105800791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 356972 in decreasing order.\nAnswer: 356972, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n = -5*i - 44, 5*n - n - 16 = -4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = 3*r - 7*r. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3\/8, -3, 1 in ascending order.\nAnswer: -3, -0.4, 3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/96)\/(3159\/(-2916)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -297*x + 298*x - 15. Let i be (x\/5)\/9*0. Suppose 2*t = 5*o + 1060, 0 = -5*t - i*t + o + 2673. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -29*a**2 - 6. Let u(k) = 666*k. Determine u(i(g)).\nAnswer: -19314*g**2 - 3996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 8) to base 11.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2467.9 - -2466.9. What is the biggest value in -4, -3, 0.4, s, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/44 and 97\/66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**3)**(10\/7)\/(s**(-2))**(-12) assuming s is positive.\nAnswer: s**(-118\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -4, 0.7, 1\/4, 100 in descending order.\nAnswer: 100, 0.7, 1\/4, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b2 + 63?\nAnswer: -34d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3183*l**2 + 1915*l**2 + 3805*l**2 + 6364 wrt l.\nAnswer: 17806*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8841657mm to kilometers.\nAnswer: 0.0000008841657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.58612um in nanometers?\nAnswer: 26586.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -5\/3, -1\/6, 0.15 in ascending order.\nAnswer: -5\/3, -1\/4, -1\/6, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -11*c - 2. Let i be b(-2). Suppose 543 = 3*h + 2*h + 4*p, 4*h - 3*p = 422. Let g = 187 - h. Calculate the greatest common factor of i and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/8 + -5)*4*(-9)\/18\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1819 (base 11) in base 6?\nAnswer: -14423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 1. Let a(p) = -12*p + 12. Let o(i) = -i**2 + 13*i - 8. Let x be o(10). Give x*y(j) + 2*a(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -3\/4, -0.2, 28?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 22559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/89039980 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66.44 + -70. Let s = 3.28 + o. Round s to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**3 - 7*b**2 - 5*b - 9. What is the remainder when z(-5) is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 210 - 133. Let h be (-22)\/l + 16\/7. Suppose 4*i = h*p + 3*p - 50, 2*p + i = 7. What is the remainder when 14 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -15*d + 9. Let i be 0 - 0 - (0 - -8). Let y be v(i). Round y to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30 and 108138.\nAnswer: 108168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -5*w + 17, 18*o + 5*w + 15 = 13*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 - 125 = -14*o - 2. Suppose 0 = 3*a + 9, -4*j + 2*a = 7*a - 353. What is the remainder when j is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 542, 540, 538, 536, 534?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14375.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -193, -293, -391, -481, -557, -613?\nAnswer: -643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 15*d + 9. Let c be x(13). Let k be 0 + 28\/(-1 + 3). What is the greatest common divisor of k and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 5, -23, 41, -5 in decreasing order.\nAnswer: 41, 5, 4, -2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(143)*-1*-6*3)\/(-3*sqrt(704)*2 + sqrt(704) - 2*sqrt(704)*-3).\nAnswer: -9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a milligram in micrograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 92*x + 2056. Calculate r(-80).\nAnswer: 1096","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1 - q**3 + 0*q + 2*q**3 + 2*q. Let r be z(1). Suppose -p + 6 = r*p. Which is greater: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44917502?\nAnswer: 2, 7, 17, 188729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from naaagnnpnnnannp. Give prob of picking 1 a, 1 p, and 1 g.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - 4*n + 0*n)*(-2*n - 6*n + 3*n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 688000 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 6*l + 2*l)*(-36*l + 15*l - 15*l) + 2*l**2 + 9*l**2 - 4*l**2 + (0*l + 5*l - 3*l)*(l - l - 2*l).\nAnswer: 39*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3855 = -298*o + 19 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/5 + (-5003844)\/(-950670)?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**3 - 18*y**2 - 2*y + 20. Let p be g(3). Solve 86 = -9*n + p for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -327, -1, 0 in descending order.\nAnswer: 0, -1, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 3242*m + 1132299. Give s(-318).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-25)\/q*q*q*q**(-12))\/(q**(-3\/2)*q*q**(-7\/6)) assuming q is positive.\nAnswer: q**(-97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (8\/2)\/(18 + -1 - 11). Let k(v) be the third derivative of 1\/8*v**6 - 1\/12*v**5 + 0*v - 10\/3*v**3 + 0 - q*v**4 + 11*v**2. Factor k(y).\nAnswer: 5*(y - 2)*(y + 1)*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {x: 2, k: 3, p: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 156*o - 29*o + 56*o + 82*o + 50*o in the form s + d*o and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96*i**4 + i**3 + 2*i - 1 wrt i?\nAnswer: 1152*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 28*y - 15. Is h(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8363063 is divided by 677?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-44)\/(-12))\/((-3)\/36). Let z(b) = -b**3 + 5*b**2 + 4*b + 2. Let c be z(6). Let o = v - c. Is 21 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833403 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -994, -992, -990, -988, -986, -984?\nAnswer: -982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1\/2 (c) 7 (d) 0.063 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyyy when four letters picked without replacement from yryrylkrlrylryrrry.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 64528704 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -15, -40, -85, -156, -259, -400, -585?\nAnswer: -820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25540049 to the power of 1\/2, to the nearest integer?\nAnswer: 5054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 13. Suppose -m*l + 3*f = f + 2, 0 = l + 2*f - 11. Solve 4*d - l*h - 17 = 2*d, 20 = -4*h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from bkkkbvbb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21312111 (base 4) to base 13.\nAnswer: -15492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*g - 62, -154*g + 155*g - 4*r - 34 = 0. Solve -201*m + g = -196*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 62*o - 2*o**2 + 2*o**2.\nAnswer: o**2 - 62*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4 = 4*m, p - 1 = -5*m - 6. Suppose b = -5*x + 45, 2*x - 4 - 14 = -3*b. Suppose -x = 21*t - 20*t. Put t, m, 1 in ascending order.\nAnswer: t, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 6\/17, -7, -471, -4\/7?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 (base 5) in base 9?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 409625?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 164.4 - 164.40907. Round m to four dps.\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 402.92 - -1.08. Which is smaller: b or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 29 in descending order.\nAnswer: 29, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -13*s**4\/24 - 2*s**3\/3 + 8*s**2. Suppose -2*g = 3*z - 3*g + 5, 4*z = -3*g - 24. Is c(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, e: 1, d: 2, o: 2, u: 1}. What is prob of picking 1 u and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -o + 3*o. Suppose 2*n - o*n = -6. Suppose -k = -n*k + 60. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**4\/4 - l**3\/6 - l**2 - 66*l. Determine p(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 7. Let b be g(9). Is b at most as big as 8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, 2\/3, -2\/9 in ascending order.\nAnswer: -3, -2\/9, 2\/3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - x = -51, 103537763*m = 103537761*m - 2*x - 42 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**6\/30 - o**5\/10 - 29*o**3\/3 + 42*o. What is the second derivative of a(c) wrt c?\nAnswer: 12*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 3 (c) 8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.024.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.29585um in nanometers?\nAnswer: 9295.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 4:21 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -103*d + 58. Let k(c) = -208*c + 118. Let y(l) = 3*k(l) - 7*z(l). What are the prime factors of y(4)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*k + 4*m - 184, -5*k + 5*m = -170. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183958490 + 3*p + 183958490.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q - 28. Let y be z(-10). What is the highest common divisor of 144 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25130 bigger than -27764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 11*p + 5.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -2 + 3 - -27. Let l be 84\/(-39) + (-2)\/(-13). What is the units digit of (k - 2)*l\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 1 - 11, 13 = 4*r - y. Let d(p) = 6*p - 28. Let g be d(7). Solve 5*a + r*a = g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101000100001100000111 - 10?\nAnswer: 11101000100001100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1584)*-3 + -5*sqrt(55)\/sqrt(5).\nAnswer: -41*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 910666415?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1401 - 1408. Which is greater: -0.4 or v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54343 and 9083.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 - 3. Let j(o) = -5*o**2 - 9. Let c(l) = 5*l**2 + l - 8. Let f be c(0). Calculate f*x(b) + 3*j(b).\nAnswer: b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.053 - -9.253. Let f = m - 3.8. Round f to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1295863?\nAnswer: 353, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - 7*v + 25 + (2 - 2 - 2*v)*(-2 + 3 + 1) - 4*v - 4*v + 4*v + 0 + 24*v + 2 - 27*v to z + w*v and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 155 = -190. Which is the closest to 1\/4? (a) 0.1 (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -4*m + 17, 2*m - 17185 + 17171 = 2*a + 4*m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**6\/w))\/w**(-3))\/(w*w**1)**17 assuming w is positive.\nAnswer: w**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 9, 3 = 10*w - 6*w + 3*i. Let o be (4 - 4) + (w - 0). Solve -3*p - 5 + 14 = o*x, 0 = 5*x + 3*p - 19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 1. Let r(m) = -198*m**2 + 165. Determine r(h) - 165*y(h).\nAnswer: -33*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1584 divided by 3.\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/89 in 3, -0.01, 23?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b3217 (base 14) to base 3\nAnswer: 210220112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1015*h**3 - 4*h**2 + 1017*h**3 - 2031*h**3 + 5*h + 6 + 6*h**2 to i*h + m*h**2 + u*h**3 + d and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1380237 is divided by 13801?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 7:20 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 36*p - 53 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in decades?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2000, -3992, -5986, -7982, -9980, -11980, -13982?\nAnswer: -15986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**3\/3 - c**2 + 3*c. Suppose v + z = 10, 4*v - 20 = 2*v - 5*z. Let f = 7 - v. Give a(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -76*c**3 - 10*c**2 - 26*c + 20. Let o(n) = -25*n**3 - 3*n**2 - 8*n + 6. What is 7*o(v) - 2*x(v)?\nAnswer: -23*v**3 - v**2 - 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)*-1 + -5)*4*-3)**2*-4*-1.\nAnswer: 51840*sqrt(3) + 154368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-15) + 4\/3. List the prime factors of 0 - -1 - (-6 - l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7115 (base 8) to base 3.\nAnswer: -12000121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*f + 320, 4*f = o - 2*o + 112. Calculate the lowest common multiple of 162 and o.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81002349.\nAnswer: 3, 31, 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 8*m**2 + 3*m + m + 2 + 2*m + m**3. Let x be f(-5). Let z = x - 28. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51533889 + 79619848001\/1545. Let r = -2\/1545 + d. Calculate the common denominator of (4\/(-42))\/((-1)\/36) and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 118 + 37 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 2*h - 10. Let n be d(7). Let p = -31 + -66. Let y be 24\/8 - 1*p. Calculate the highest common factor of n and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 1 = 3*r, -k = r + 3*k - 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 70. Suppose 3*z = 5*r - 284, -3*r - c*z + 2*z = -184. Suppose 0 = -2*t + 22 + r. Is t a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 + 67*x**2 + 29*x + 163. Calculate w(34).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15263 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*k + 24, 3*x + 28 = k + 4*k. Suppose -3*l + k = l. Suppose l*u = -3*u + 235. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -113 + 116. Let o(y) = -13255555*y**2 + 6*y - 23. Let q be o(u). Round q to the nearest one million.\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 37*c**4 - 2*c + 36. Let u = -329 - -332. Let m(j) = 37*j**4 - j**3 - 3*j + 36. Let s(d) = u*b(d) - 2*m(d). What is the derivative of s(g) wrt g?\nAnswer: 148*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -76*i + 4945. Determine c(65).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -107728589, -107728598, -107728621, -107728664, -107728733, -107728834, -107728973, -107729156?\n\"Answer: -k**3 - k**2 + k - 107728588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 432 + -432. Suppose 0*y - 3*y + c = -2364, -y + 5*c + 802 = w. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 45*s**2 + 2*s - 82. What is m(45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32936776453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -60*i + 36. Let v(m) = 12*m - 7. Let k be (2\/(-4))\/(8\/(-336)). Let o(c) = k*v(c) + 4*t(c). Find the first derivative of o(f) wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7092535 divided by 5.\nAnswer: 1418507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (sqrt(448) + -3)**2) + (-1*sqrt(7))**2*5.\nAnswer: -422 + 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 370165 to the power of 1\/2, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304 and 810192.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2832 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111 + 131. Suppose 0 = 7*x - b + 6. Suppose 0 = -k + a + 3, -x*a - 2*a - 22 = k. Put -12, 0, k in decreasing order.\nAnswer: 0, k, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 4*o - o - 7*o**3.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3202688171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2904*y - 2910*y = -48 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**12\/d)**(-38) assuming d is positive.\nAnswer: d**(-418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 97*c - 42942 + 46337 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 32045?\nAnswer: 32054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 9 - 62 + 34*s**2.\nAnswer: 34*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -315.9 to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 14 + 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -14.91, 0, -17, -18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**4\/4 - 2*j**3 - 4*j**2 - 4*j - 1535. Give b(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833 a factor of 33678193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65320140?\nAnswer: 2, 3, 5, 1088669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a decade?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -332 - 1?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -267*m - 4082 + 878 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 937 a factor of 4371846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1718275 - 12*v + 3431234 - 1712959.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115311 = 2549*u - 2530*u. Calculate the greatest common factor of u and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 - -0.5. What is the nearest to 1 in 1\/7, s, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 70 = 5*w + 3*x, 5*w = 2*x + 56. What are the prime factors of 22\/4 + w\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42950000 to the nearest 1000000.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28470, 113895, 256274, 455607, 711894, 1025135?\n\"Answer: 28477*k**2 - 6*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 12 = 40. Let r be 1*1*(82 - b). Suppose -w + 0*w = -r. What are the prime factors of w?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-15)*c*c**(-7)*(c\/c**(-10))\/(c\/((c*c**(-18))\/c)) assuming c is positive.\nAnswer: c**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v + 19. Let c(u) = -2*u - 4. Let z(i) = -11*c(i) - 3*j(i). Calculate z(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffzzfffff. Give prob of sequence zz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 0 - (-2)\/(-2). Suppose -i - 28 = -4*d, 10 = q*d + 4*i - 11. Calculate the remainder when 32 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78273 (base 13) in base 12?\nAnswer: -a6153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*k = 41 + 139. Suppose k*f - 5*a + 58461 = 6*f, f - 19487 = 5*a. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48*157\/(-90432) + (50\/(-8))\/1\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1691 + 0.12069396?\nAnswer: 1691.12069396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 3770*k**2 - 4078*k**2 - 4394*k**2 - 3820*k**2 + 17937*k**2.\nAnswer: 1875*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 18. Suppose 2*n = -2*w + 4, j*w + 2*n + 6 = 4. Let x be w\/(-12) + (-11)\/(-4). Solve 2*z - 5*r + 4 = 16, -8 = -x*z + 5*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 h when three letters picked without replacement from {j: 2, u: 2, h: 1, a: 4, g: 6}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 8*d**4\/11 + 98*d**3\/11 + 400*d**2\/11 + 574*d\/11 + 120\/11 = 0?\nAnswer: -5, -4, -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-14 + 14) - 7 - -8.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108 + 152*l**2 + 105 - 3*l + 106 - 319 to d + h*l + a*l**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0 + 0)*(v + 2*v - v)*(5 - 2 + 54) + (-4 + 6 + 0)*(-v**2 + 2*v**2 - 3*v**2) - 2*v**2 - 2*v + 2*v.\nAnswer: 222*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 12*q**2 + 2*q + 16. List the prime factors of d(12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**3 - 3036*s**2 + 3072432*s - 1036433728 = 0?\nAnswer: 1012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*o + 135 = 0, 0*o - 4*o + 84 = -2*j. Let a be ((-3)\/2)\/(3\/j). Let d = a + 2. Solve 5*k - 19 = g + 7, -g = 5*k - d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.33 - 0.07. Let w = y - -0.39995. What is w rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/25200 and -19\/15120.\nAnswer: 75600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -172 or -14696\/381?\nAnswer: -14696\/381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6684 divided by 557.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 + 66. Which is smaller: -0.11 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12124, -24205, -36284, -48361?\nAnswer: -60436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 9*i - 3*n - 14, 0 = 4*i - 5*n - 28. Let s be (-8)\/30 - (-4)\/18. Let m = s - -229\/90. Which is smaller: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(162) + 0 + 5.\nAnswer: 5 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -52.9672.\nAnswer: 54.9672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 7559872.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 125 = 3*l. Suppose 2*w = 11 + l. Calculate the highest common divisor of 126 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 17.6944 and 22048838.\nAnswer: 22048855.6944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 3*m**2 - 10*m + 3. Calculate the remainder when c(5) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 203120386.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11, 4, -13, -46, -101?\n\"Answer: -m**3 + m**2 - 3*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -417387*d**3 - 42995337*d**2 - 461040*d - 1236 = 0. What is d?\nAnswer: -103, -2\/373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 57?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71896 + 71895.9908578. Round z to 5 decimal places.\nAnswer: -0.00914","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-12) + (2774\/2628 - (-8)\/18).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**4\/12 + 512*n**2 - n + 1. Let c(j) = 2*j - 1055. Calculate w(c(v)).\nAnswer: 4*v - 2110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -21. Let k be (-61)\/y + (-6)\/30. Suppose -2*l + 4 = -l. Solve 4 = -l*d - k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2608 + -1409. Suppose 2691 = -10*f - n. Round f to the nearest 10.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c - 243 = -3*j, -2*c + 4*j + 168 = 0. Let z = 69 - 41. Calculate the remainder when c is divided by z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - 29 + 767*y - 30 + 111 - 28 to s*y + l and give s.\nAnswer: 767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/8782 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 1833500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/n**(-2))\/n*n)**(-35)*n\/n**7*n\/n**5*n*n**0*n*n**(-6)*(n\/(n\/(n\/(n\/((n**2*n)\/n))))*n*n)\/n**(-1\/3) assuming n is positive.\nAnswer: n**(-449\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c (base 13) to base 4.\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98443745 is divided by 723851?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 3*v**2 - v + 10. What is the tens digit of y(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.538 rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 + n**4 + 0*n**4 + (-8 + 8 - 5*n)*(n**3 - n**3 - 7*n**3) to v*n**4 + k*n**3 + g + u*n**2 + j*n and give v.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 266 = -0*y - 3*y, y + 2*p - 98 = 0. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 895949?\nAnswer: 71, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a factor of 265709457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3 - t)*(1126 - 488 + 1710)*(0*t - 2*t + 0*t).\nAnswer: 4696*t**2 - 9392*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 + 73. Let t be 1\/j - (-9 - 20\/(-2)). What is the second smallest value in -0.3, t, 0.5, 3.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80397 + 80397 - 562*i - 236*i.\nAnswer: -798*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106840 = -4*h + 106852, -4*h = -3*v + 69 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 5*q - 34, 5*n - 38 = 2*q + 21. Calculate the remainder when 19 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c + 914?\nAnswer: 8c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*a + 3*p - 4, -3*a = -5*p - 22. Suppose 9*o - a*o = 40. Suppose 0 = 3*v - 0*s + 5*s - o, s = 2*v - 1. Which is smaller: v or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0, 26\/15, 15 in ascending order.\nAnswer: 0, 0.1, 26\/15, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.326 - -0.494. Is 0.5 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 13 - -7) + 3 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31626044 by -8.\nAnswer: -7906511\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2993 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y = 23*y + 183. Let f = 98 + y. Suppose -11700 = -36*q + f*q. Round q to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-390)\/(-20) + -23)*(-8)\/7. Solve -4*a + 3*f = 1, 5*a + 2*f + m = -26 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w - 48. Let i(t) be the first derivative of -t**3 - 10*t + 4138. Determine m(i(l)).\nAnswer: -6*l**2 - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 - -264. Let d = -136.4 + y. What is d rounded to 0 decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in -4, 0, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 12 = 63. Suppose -2*h = 2*t + 10, 3*h + t - 25 = 6*t. Let s(x) = -x**2 + 7*x + 11. Let l be s(8). Solve l*g + 0 - p = h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 852*i - 814*i + 380. Let o(c) = 3*c - 62*c - 17 - 125*c. Is o(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*-1 + sqrt(144))\/sqrt(12))\/((sqrt(1296) - sqrt(36))\/sqrt(6))*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -38835000 to the nearest 100000.\nAnswer: -38800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -45*w**3 + 3*w**2 - 21*w + 39. Is g(-6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 2:40 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - o - 94 = 0, t + 0*o - 16 = 4*o. Calculate the highest common factor of 168 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + d**2 + 14*d + 47. Give j(-4).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen halves of a century?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -241924, -485451, -728978, -972505?\nAnswer: -1216032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 57, 63, 69, 75?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/6*207\/(-8) and (432\/2200*5)\/((-8)\/(-10)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 32 + 9)*(1 + 0 + 5)*(2*a - 2*a + a) to the form w + g*a and give g.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448)*-5 + sqrt(2448))*-5 + -5 - (sqrt(2448) + -5 + (sqrt(2448) - sqrt(2448)*3) + 0).\nAnswer: 252*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1075299713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s = -2*v + 399, 0 = -3*v - s + 591. Suppose 6*o - 3*o - 2*a = v, -o + 61 = a. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**2 - 133 + 133. Let u(j) = -j**2. Calculate u(y(h)).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-108)*(-54)\/102.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5222359 is divided by 401719.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64492360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -886 + -2466?\nAnswer: -3130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*l = -6. Let v(n) = 3*n + 3. Let g(z) = -z**3 + 51*z**2 - 490*z - 145. Let c be g(38). Let m(y) = y + 1. What is c*m(p) + l*v(p)?\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 4*h - 4*p + 5 = 0, 4*h + 16 = 2*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -707116 + 237?\nAnswer: -706657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36673, 73346, 110019, 146692, 183365, 220038?\nAnswer: 256711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -y - 2. Let m(j) = j**3 + 4*j**2 - 4*j + 6. Let g be m(y). Suppose g + 11 = 4*u. Solve i - 3*k = -8, 5*i + u*k = 13 + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 5*d**2 + 32*d - 214. What is the thousands digit of f(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -668445 by -15.\nAnswer: 44563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.0288 - -6.204. What is x rounded to 2 dps?\nAnswer: -3.82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -17345250?\nAnswer: -17345251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87 and 2.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 19*c**3 + 2*c**2 + 2. Suppose -31*v = -69*v - 76. Let k(s) = 75*s**3 + 9*s**2 + 9. Determine v*k(q) + 9*o(q).\nAnswer: 21*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 8) to base 2\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -1, -48, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481028 is divided by 504?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 738 = 6*h - 3*r, 2*h + 2*r = -362. Let v = 295 + h. Calculate the highest common divisor of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-14)\/170)*480\/(-7200)?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2307377747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 340, 425, 560, 739, 956, 1205?\n\"Answer: -k**3 + 31*k**2 - k + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189841 and 1004165.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 174047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 75000 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: Two letters picked without replacement from {n: 3, k: 2}. What is prob of sequence nk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/9*(-18)\/4. Suppose -20 = h*x - 4*x. Let q = 29 - x. What is the remainder when q is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110011100110 (base 2) to base 15\nAnswer: -22d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-180)\/(-75))\/((-3)\/50). Let m be u\/8 - 16\/(-3). Which is the closest to m? (a) 0.1 (b) -1\/3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/25)\/d*d**(1\/4)*(d**5)**22 assuming d is positive.\nAnswer: d**(10929\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5961681 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.198 - 0.012. Let q = 0.2 + a. Let d = q - -0.00999897. What is d rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 479 or -1?\nAnswer: 479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -511\nAnswer: 1\/511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3))**(-41)*(t*t**(-4))\/(t*t*t\/t**(1\/2))*((t*t*(t\/(t**4\/t*t)*t)\/t)\/t*t\/t**(-4))**(2\/71) assuming t is positive.\nAnswer: t**(3515\/426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 227000 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 924648902 + 2*y**2 - 924648902.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 265477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.002 + -0.0734.\nAnswer: -0.0754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 10*g + 76. Let n be u(20). Suppose 4*m - 4*d - 232 = n, 2*d - 366 = -3*m. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -90*a + 3579. What is b(18)?\nAnswer: 1959","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5594015 is divided by 817.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3503493146 and -763.8.\nAnswer: -764.1503493146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*y + 10, 2*c = -2*y - 2 - 6. Is (-1 - (c - 0)) + 21 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4707*o**6 + 1692*o**2.\nAnswer: -564840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 + 147*o**2 - 82*o + 683. Calculate z(73).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.049 - 0.349. Let k = z - -5.3. Sort -42, k, 0.1.\nAnswer: -42, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.013, -3, 4\/5 in increasing order.\nAnswer: -3, -0.013, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1239\/4964 - 1\/2482. Let y be 21\/30 + (-1)\/5. What is the nearest to y in -0.19, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835 is divided by 172?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 216280*m**4*u - 2*m**2*u**2 - 4095*m + 21*u**2 wrt m?\nAnswer: 2595360*m**2*u - 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1. Let m be 6\/(-12) + 281\/18. Let v = 925\/63 - m. Is o less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7 = 3*s, -5*g - 3*s = -5*s - 23. Let d(b) = -b + 9. Let l be d(g). Suppose l*f = t + 81, 5*f - 19 = -2*t + 79. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (120\/(-21))\/5*-7. Let m be 2\/(-2) - (-5)\/1. Solve v - m = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 - 18*n**2 - n + 15. Let q be p(-5). Let u = -671 - q. Solve u = 6*r - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 f when four letters picked without replacement from sfskrrkfrrynksrrrks.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-11\/5)\/x*x*(x*x*x*x**(2\/79))\/x assuming x is positive.\nAnswer: x**(-69\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-2) - (-2)\/(-4). Let z be (1 + -53)\/(-1)*(-1)\/(-2). Factor 5*d**3 - 10 + 0*d**3 + 60*d - z - c - 30*d**2.\nAnswer: 5*(d - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -8. Suppose 0 = -4*u + u + f*r + 9, -3*u = -5*r - 5. Let h = u - 14. Is h < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5992 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366925709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1372 and 2828?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 7:59 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84*o + 109*o**3 + 118*o**3 - 10*o**3 + 48*o**3 wrt o?\nAnswer: 1590*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*z + 97 - 21, 2*s + 112 = 4*z. Let n be (-8)\/s*4\/2. Which is the third biggest value? (a) n (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 529 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**3 - 4*y**2 + 7*y - 11. Let g be i(4). Calculate the highest common factor of 54 and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.087058 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qee when three letters picked without replacement from pkkepeqeqveppqqkpq?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q - 8, -p + 20 = 4*q. Let r be p\/2 - (-14 + 14). Suppose 0 = r*s - s. Solve s = -o + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3688 is divided by 247.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 13798894.876 and 1.3752.\nAnswer: 13798896.2512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2138, -2140, -2142, -2144, -2146, -2148?\nAnswer: -2150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 287 - 259. Suppose h*t = 10273 + 13163. What are the prime factors of t?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 60*c**2 - 48*c + 112.\nAnswer: -4*(c - 1)*(c + 2)*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + -2 + 1 + 5. Suppose w + 7 = o. Suppose -4*k = 5*p + 21, k - 8 = w*k. Is p at least -1\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 11 + 9 + -15 + -17?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 10*u + 193 - 1037, 88 = u + 4*d. What is the highest common divisor of u and 5572?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 260372464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197258059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4142049 is divided by 1380187?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x + 18. Let g be l(0). Suppose 117 = f - 3*p, 7*p = -2*f + 3*p + 264. Calculate the highest common factor of f and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150424 - -10?\nAnswer: -150414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -482, -3431, -11090, -25703, -49514, -84767?\n\"Answer: -374*b**3 - 111*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2783, -5467, -8151?\n\"Answer: -2684*r - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 1. Suppose -4*h + 64 = -0*h. Let d = h + -10. Let v(z) = 8*z - 4. Give d*l(a) - v(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 2250.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -33*i + 54. Give l(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 33?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582006?\nAnswer: 2, 3, 97001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 329 - 329 - 135*g**2 to i*g + z + o*g**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 5*g**2 - 4*g.\nAnswer: -g*(g - 4)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 42*q + 12. List the prime factors of c(4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + q + 1. Let p(d) = 29*d**3 + 6*d + 39. Let b(k) = -p(k) + 6*y(k). What is the derivative of b(w) wrt w?\nAnswer: -105*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + i**2 + 0*i**3 + 2*i**2 + 1 + 4*i. Suppose 0 = -j - 3*l + 4 + 5, -2*l = -5*j + 11. Is x(j) 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 802*x**2 - 85*x**6 + 1107*x**4 + 49*x**6 + 892*x**2 + 38*x**6 wrt x?\nAnswer: 240*x**3 + 26568*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 greater than or equal to 4028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127*n**4*p**2 - 5*n**3*p**3 - 312*n**2*p + 5*n*p**3 wrt n?\nAnswer: -3048*n*p**2 - 30*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6176, 13794, 21414, 29036?\nAnswer: 36660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/5)\/(27\/(-30))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 276\/(-4)*4\/8*(-10)\/5.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/7)\/(160\/(-840))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -4, 0, 48, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*x**3 - x**3 - 85*x**3 + 1 + 29*x**3.\nAnswer: -109*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 4*u - 31. Suppose -12*y + 2*y - 40 = 0. Let g be q(y). Suppose f - 21 = -2*f. Calculate the highest common factor of f and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7388.\nAnswer: 2, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 18, 2, 4, -1 in decreasing order.\nAnswer: 18, 4, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 256 + 29 = -5*a, -2*a = -w + 72. What is the highest common factor of 1406 and w?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1123 + 1117 = 2*c + 4*t, 0 = -153*c - 2*t - 459 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from {u: 2, k: 9, h: 5, n: 1, p: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) 0.27 (b) 44743 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3\/3 - 8*p**2\/3 + 10*p\/3 = 0 for p.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b - 6. Let d be c(-4). Is (-383)\/(-5) + d\/25 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225127?\nAnswer: 7, 29, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j + 14. Let l(h) = h - 7. Let g be l(j). Let t = g - -2. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48360 = -550*p + 488*p. Solve p*m + 21 = 783*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 10:05 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**4 + 2*p**4 - 2*p**4)*(-1 + 2*p + 3 - 7).\nAnswer: 8*p**5 - 20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23172680 divided by -18994\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10072 + -3?\nAnswer: 10068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120120042 - -4?\nAnswer: -120120033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 4:44 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3763.\nAnswer: 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -11*o**3 - 12*o**2 - 2*o - 2. Let i(y) = 5*y**3 + 6*y**2 + y + 1. Let j(b) = 13*i(b) + 6*w(b). What is the units digit of j(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -3 (c) -0.8 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xq when two letters picked without replacement from {q: 17, x: 3}.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1117011?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v - 18 = 4*f, -4*f - 2*v - 16 = 0. Let z = 772 - 771. Which is the second smallest value? (a) 3 (b) f (c) z (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/4*1*614\/4298?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 + 0)*32\/(-96)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4022 + 2098. Let v = r + 1938.09. Round v to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.18 - -9.82. Let l = c + -8.7. Let j = l - -3.7. What is the second biggest value in j, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.34, -5, -4, -0.3 in decreasing order.\nAnswer: -0.3, -0.34, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466143895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14*(3 + 1 + -3). Let q(n) = n + 62. Let z be q(-20). What is the highest common factor of p and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65747 at most as big as 65759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - m = r + 14, 0 = 5*r + 2*m - 40. Let h(j) be the second derivative of 0 - 2\/5*j**5 + 1\/15*j**r + 0*j**2 - 2*j - 2\/3*j**3 + 5\/6*j**4. Factor h(y).\nAnswer: 2*y*(y - 2)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 3. Let k(q) = -q**3 - 5*q**2 + 7*q + 8. Let i be k(-6). Let f be s(i). Which is bigger: f or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p*p**(-15)*p))\/p**(-2\/7) assuming p is positive.\nAnswer: p**(114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**3 - 31*s + s**4 + 31*s + s**2 in the form t*s + c + m*s**4 + b*s**2 + r*s**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16845.\nAnswer: 3, 5, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2686 and -4.\nAnswer: -2690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*l = 79*l + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26807 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -1 - 4\/3*z - 1\/3*z**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.8 + -1.2. Let j = w + -1.6. Let t = -0.2 + 6.2. Sort j, t, 4 in decreasing order.\nAnswer: t, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 - 340*m**3 - 5430*m**2 + 11900*m - 6125.\nAnswer: -5*(m - 1)**2*(m + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -6. Suppose 0 = -g*u + 3 - 53. Let r be 2\/((-14)\/u + -1). Solve -4*c + 12 = -r*x + x, x + 11 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17876032?\nAnswer: 2, 37, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11159 - -11167. Solve -4*y - 5*n = a, y - 5*n + 8 = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -205, 19, 1, -2, 7, 4, 3 in ascending order.\nAnswer: -205, -2, 1, 3, 4, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2651*d**2. Let j(o) = o**2. Give z(j(i)).\nAnswer: -2651*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g - 2. Give a(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10375 + 10374.92. Which is the smallest value? (a) p (b) 6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2331 - -1?\nAnswer: 2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -4, 5.\nAnswer: -4, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -430815, -430798, -430779, -430758, -430735, -430710?\n\"Answer: i**2 + 14*i - 430830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.439152 rounded to one decimal place?\nAnswer: 63.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657*v + 7215 = 2616 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36 + 1)*(-13320)\/2775. Let b be (-14)\/4*(0 + -16). Calculate the greatest common divisor of b and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -483 + 492. Solve 3*s = 3*h - f, -3*h - 2 = s - 15 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305101 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + t**2 - t - 51. Suppose -41*p + 11 = -30. Let j be (-4 - -4)\/(3 + (p - 0)). Give u(j).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17 - -5)\/((-4)\/6). Let t be (-1*8\/(-6))\/(8\/q). Put 6, t, 4, -5 in descending order.\nAnswer: 6, 4, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.14 + -0.17. Let c = 0.03 + y. Sort c, 0.6, 1.\nAnswer: c, 0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -317*q**4\/12 - q**3\/6 + 5*q**2\/2 - 504*q. What is the second derivative of h(i) wrt i?\nAnswer: -634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2096489, 8385956, 18868401, 33543824, 52412225, 75473604?\n\"Answer: 2096489*q**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, w: 1, o: 1, v: 2, d: 2}. Give prob of picking 1 v and 1 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1008747.\nAnswer: -1\/1008747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -5 (b) 1\/5 (c) 19\/36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 13, d: 2, h: 3}. Give prob of picking 2 d.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -23 - 33) + 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32897\/54820 - 1\/10964. Let d = -49 - -33. Let q = d + 14. Put q, 59, s in increasing order.\nAnswer: q, s, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36429 is divided by 608.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 74*x + 75*x = -75, -5*x = 5*o - 50. What is the remainder when 217 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l - 33. Let n(w) = -15*w - 61. Give -2*n(i) + 5*u(i).\nAnswer: -5*i - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13930721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 2*a - 5*s, 0 = 437*s + 432*s - 870*s - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -24. Let y be 2\/(-4) - 42\/(-4). What is the greatest common divisor of m and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 40502*d. Let c(p) = -5063*p. Determine 55*c(x) + 7*w(x).\nAnswer: 5049*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 7:59 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*f + 490 = 5908. What is the greatest common divisor of f and 1491?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26266 + -26244. Is a less than 1\/46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + -4 + -1 + -254 + 282.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/7 of a week?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-19380)\/(-9686))\/(1820\/26390)?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/44)\/((-3)\/(-4)). Let t = 86\/27 + -80\/27. Sort f, -1\/2, t in decreasing order.\nAnswer: t, f, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 5*n + 6. Let c(l) = -3*l**2 + 5*l - 5. Calculate 6*c(b) + 5*u(b).\nAnswer: -8*b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*b = -3 - 4, 5*g - 5 = 5*b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -3\/2, -0.0476, -5, 2 in descending order.\nAnswer: 2, -0.0476, -3\/2, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -164 at least -162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11642414833 from 70.\nAnswer: -11642414763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**3 - 7*m**2 - 2*m. Let g be r(4). Suppose -g = 4*d - 2*d. Is ((-538)\/(-3) + 1)\/((-12)\/d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 30*w**2 - 20*w**2 - 21*w**2 + 5*w + 72*w**2 - 157.\nAnswer: w**2 + 5*w - 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-30)\/8)\/(-3) - (-1)\/(-48)*92. Which is the closest to 0.5? (a) 8 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/(-3))\/(2\/(-6)). Suppose -z - 4 = w. What are the prime factors of (-4)\/(-14) - 164\/w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*z - 50384 = -386*z - 33*z for z.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (3 - -2) + 81?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -21*c**2 + 870*c + 548. Calculate p(42).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**2 + 11*k - 8. Give t(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 170 = -114. Solve -75 = 11*h + j*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 329*y - 763*y - 179*y - 1105*y in the form i + o*y and give o.\nAnswer: -1718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -129 - -189. Calculate the greatest common factor of g and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118895 by -2765.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 278145500 to the nearest 100000.\nAnswer: 278100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2272*x**3 + 515*x**2 - 515*x**2.\nAnswer: 2272*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1030202 minus 2518?\nAnswer: -2518.1030202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.31 - -15.31. Let v = i + -10. Which is the third biggest value? (a) 2\/9 (b) 0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -43*d - 88. Let z be h(-11). Suppose -1057 = -2*x + z. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 4. Let m(a) = a - 7. Let r be m(11). What is the units digit of w\/r*(0 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48078 smaller than -48078?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, -3, 62 in decreasing order.\nAnswer: 62, 4, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2194 - 1103 = 4*b + 2*w + 1101, -5*w + 20 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + 2. Let k = 22 - 17. Solve -12 = -k*s - 2*q, -l = -2*s + q + 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4 + 2)\/20)\/((-16)\/(-416)*13).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.664 from 1.\nAnswer: 2.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -b7 (base 12) to base 5\nAnswer: -1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a**3 - 276*a + 79 - 29*a**3 - 79 - 119*a.\nAnswer: -42*a**3 - 395*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2160*j + 2852*j - 27007 = -142283 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 48. Let x be (-53)\/a - (-4)\/(-18). Which is greater: x or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**2 + 0*c**5 + 14*c**5 - 3*c**5 wrt c.\nAnswer: 660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 0)*(-4*c + 3*c + 3*c) - 1 - 2*c + 1 - 1 + 1 - 2*c + (-30 + 2 - 34)*(-c - 3 + 3) as m*c + u and give m.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49666348.\nAnswer: 2, 1229, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 15.7. Let p = 51 + -97\/2. Let y be 2\/5*11\/((-99)\/(-30)). What is the smallest value in z, p, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + o + 0*o + 8 = 0, -4 = -4*b - o. Suppose -4*a - 2*u - b = 3*u, -a + 8 = -3*u. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = -c. Let g(k) = -k - 1. Let j be g(c). What are the prime factors of -3*j*(-28)\/(-9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -222 - -943. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q + 1. Let t(d) = 8*d**3 - 12*d - 38. Let x(h) = 4*o(h) + t(h). Differentiate x(w) with respect to w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15657885649135+-3\nAnswer: -15657885649138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + y**2 + 0*y**2)*(137 - 137 + 26*y).\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 145 and 18175?\nAnswer: 527075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -89426 = -89428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-116)\/36)\/(424\/(-1272)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 5 = k + 4*z, 2*z + 5 = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-144)\/(-30) + -5 - (-2404)\/(-30). Let k = o - -81. Sort k, -1\/4, 15 in decreasing order.\nAnswer: 15, k, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*g - 36 = g, 0 = -2*o + 4*g + 30. Suppose 11*h - 20 = o*h. Calculate the highest common divisor of 110 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*m - 6 = -4*h, m = 3. Let x(u) be the third derivative of 0*u**3 + 0*u**4 + 0*u - h*u**2 - 1\/60*u**5 + 0. Let t(y) = -3*y**2. Determine x(t(v)).\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1969480, -3938959, -5908438?\nAnswer: -7877917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-11)*(-8)\/32. Is y less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)*1 + sqrt(33))\/((-2*sqrt(11) + sqrt(11))*-4).\nAnswer: 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = -15*v + 5*h, 0 = 4*h - 105 + 53 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -158*r + 1284. Let a be p(8). Factor -1\/5*i**2 + 4*i - a.\nAnswer: -(i - 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 2173*n**6\/120 - 13*n**5\/2 + n**4\/6 + 3182*n**2. What is the third derivative of k(o) wrt o?\nAnswer: 13038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19841 - 396917\/20. Let z = 19809 - 514951\/26. Find the common denominator of f and z.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 305418 divided by -654.\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 24. Let v = -10 - h. Suppose -2*q = 2*t - 6*q + 4, -4*q = 5*t - 32. Solve w = -v*m + 20, 0*m + t = m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163601 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3, 41, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 15*f**2 - 19*f - 28. Let j(o) = -o**2 - 15*o - 39. Let a be j(-5). List the prime factors of q(a).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 5 - 2) + 1 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 436128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 3510542?\nAnswer: 14042168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**(4\/9))\/a))\/(a\/a**(-1\/11))*(a**(-15))**(-7\/8) assuming a is positive.\nAnswer: a**(9971\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 11 + 11)*(-5 - 17 + 3).\nAnswer: -19*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2)**(-1\/4)\/(m**(-1\/4))**8)**(3\/8) assuming m is positive.\nAnswer: m**(9\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 2 + 2)*(1 + 1 + 0)*(6*d**4 - 6*d**4 + d**4 + (2 - 3 + 0)*(-4*d**4 - 13*d**4 - 4*d**4)).\nAnswer: -88*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -122 - -273. Suppose 5*d + 3*j - 158 = 0, 6*d - d = 4*j + n. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 0*c + 4*c - 2*c - 4. Let f be d(9). What is the second derivative of -k**f - 13*k - 2*k**5 + 15*k + k**5 wrt k?\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 1\/3*k**3 - 1\/6*k**4 + 85\/2*k**2 + 48*k + 0. Find the first derivative of n(r) wrt r.\nAnswer: -4*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-10) - (-243816)\/240?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -11928301 less than -11928307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 3*m**5\/5 + 13*m**3\/6 - 21*m**2. What is the derivative of f(p) wrt p?\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**2 - 2*b + 13. Let o = 8080 - 8077. Give h(o).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 412 - 369.6. Let u = -42.1 + v. Let x = -3 + 2.9. Which is the smallest value? (a) u (b) -4 (c) x (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 85\/5 + -4. What is the highest common divisor of z and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*r**2\/5 + 18*r\/5 - 4\/5.\nAnswer: 2*(r + 1)*(11*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 58\/(-261) - (-92)\/9. Suppose -6*n - 7136 = -v*n + g, 5*n - 8935 = 5*g. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(-52))\/(4\/4 - -2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) -5 (c) 0.36 (d) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 x when three letters picked without replacement from {z: 4, x: 1, k: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 10:54 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -281 + 891. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(704))**2*1 + ((sqrt(99) + 5 + -5*sqrt(99))*-3)**2.\nAnswer: -1080*sqrt(11) + 15889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*w + 248 = 2*c, 0 = 4*c - 5*w - 444. Let d = c - -28. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 5*l**2 - l + 3. What is the remainder when x(3) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4106 + 4109. Sort -9\/10, -4, u.\nAnswer: -4, -9\/10, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + (sqrt(153) + 3*(-2 + sqrt(153)) + (sqrt(153) - (sqrt(153) + (-2*sqrt(153) - sqrt(153)))) + -5 + sqrt(153) + -2)**2)*5.\nAnswer: -3120*sqrt(17) + 49785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 8:49 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-53996\nAnswer: -21598.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9\/12*11*(-20)\/(-330)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*b**2 + 1663*b - 27*b**2 + 13*b**2.\nAnswer: 2*b**2 + 1663*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 31000 = -6*u + 4*w, w - 30997 = 3*u. Let g = u - -144565\/14. What is the common denominator of -51\/22 and g?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1440*y + 4041 - 24201 = 0 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*sqrt(6)\/sqrt(2) + (sqrt(240)\/sqrt(5))**2.\nAnswer: 3*sqrt(3) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, 0.99, -0.629, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*w + 3*d - 129, -d = 4. Suppose -3*l - w = -624. Suppose -3*i = 3*g - 492, -g - 3*i = -i - l. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 106?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 5*l**2 + 2. Suppose 0*t = -2*t + 4. Suppose -19 = -t*h - 9. What is n(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798958.\nAnswer: 2, 83, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 184 and 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27b3 (base 13) in base 6?\nAnswer: 42255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -174 + -7?\nAnswer: -17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158 - 30. Solve -137*b = -z*b + 27 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.08 (b) -86 (c) 0.1 (d) 1 (e) 3 (f) 0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3\/8 + 1354305*g**2\/4 - 8125823*g\/8 + 2708607\/4 = 0. What is g?\nAnswer: 1, 2, 2708607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - i**2 - i. Let t be ((-1)\/(-3))\/(5\/(-15)). Let d(l) = -4*l**3 + 3*l**2 + 3*l - 3. Suppose -42*s - 12 = -38*s. Give s*h(g) + t*d(g).\nAnswer: g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 5*q - 3*q + 3*r, r + 36 = q. Calculate the remainder when q is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*o**5 + 2*o**4 - 186*o + 3 wrt o?\nAnswer: 1580*o**3 + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o + 6*o + 0*o + 0 + 2. Give y(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3 - 0. Suppose -n - 5*l - 5 = -6*n, n - 11 = -4*l. Suppose 4*s - 5 = -j, 0 = -3*j - 5*s + 1 + 7. Put p, j, n in increasing order.\nAnswer: p, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 385*a - 389*a + 1280. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**4\/24 - 3*l**3 - 23*l**2. Let k be z(-16). Is ((-210)\/28)\/(1\/k) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-2)\/(-5) + (-8)\/(-100)*5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 equal to 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 10. Let f = h + 10. Suppose 0 = -f*s + 4*s + 2. What is the highest common factor of s and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3463683*b**3 + b**2 + 5490065*b?\nAnswer: 20782098*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 216.53422 + -216.3. Let q = i - 0.03012. What is q rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-672)\/(-1536))\/((-560)\/192)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 751?\nAnswer: -753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -12. Let q(t) = t**2 + 6*t - 10. Let w be q(v). Is w greater than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 2\/4*34. What are the prime factors of (-4)\/10 + 96\/r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -443600 divided by -8.\nAnswer: 55450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/4 and -87\/4088.\nAnswer: 4088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 1\/18*b**3 + 0 + 0*b - 1\/144*b**4 - 1\/360*b**5 + 7*b**2. Factor j(k).\nAnswer: -(k - 1)*(k + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10378*i**2 + 44*i - 46*i - 10380*i**2 + 235)*(-5*i + 4*i + 0*i).\nAnswer: 2*i**3 + 2*i**2 - 235*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3083 - 3118.62. Let r = -0.38 + f. Let a = -35.99999946 - r. What is a rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opj when three letters picked without replacement from fojppffgjpjppjpfop.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 g when two letters picked without replacement from bggfggggfhfbtgf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1.1 (b) 14 (c) 0 (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137097171?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3402\/13 + -1568348\/5993. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d**3 - 2*d**2 + 7*d. Let x(c) = 15*c**3 - 3*c**2 + 15*c. Let m(p) = 9*o(p) - 4*x(p). What is u in m(u) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 148 = 127 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1232433633.\nAnswer: 3, 23, 1373, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i*i**1)\/(i\/i**(6\/7)))**(-1\/23) assuming i is positive.\nAnswer: i**(-34\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 147 + 158 = 0. What is the highest common divisor of y and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51605*j**3 - 32139 wrt j?\nAnswer: 154815*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -q + 4. Let m(d) = d + 17. What is the remainder when 8 is divided by m(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 12}. Give prob of sequence zz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2269826.\nAnswer: 2, 13, 67, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(17))**2 + -5 + -4 + sqrt(102)\/sqrt(6) + -3 + 5.\nAnswer: sqrt(17) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**15*u)\/u)\/(u*u**(1\/6)*u)*u\/u**(2\/23)*u*u**(2\/13)\/u)**(-11) assuming u is positive.\nAnswer: u**(-274307\/1794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140290*w**3 + 280576*w**3 - 12 - 140288*w**3.\nAnswer: -2*w**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2*(26 + -4). Let l = s - -14. Let i(o) = 2*o**3 - 3*o**2 + 3*o - 3. What are the prime factors of i(l)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times 0.33\nAnswer: 0.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 14 = x - 6*n, n = 2*x - 8. Let a = x + 2. Suppose 0 + 12 = a*d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1098 and -122?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 1\/8, -0.5, -17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17.40637 from 8574700.\nAnswer: 8574682.59363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -319\/3 + 107. Let c(s) be the first derivative of -g*s**3 + 7 + 0*s + 0*s**2. Let u(d) = -4*d**2. Give u(c(q)).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/13 + 28404*i\/13.\nAnswer: -2*i*(i - 14202)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (11\/((-5049)\/34))\/(5\/30)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -159, -0.6, 3, 1\/7, -238 in ascending order.\nAnswer: -238, -159, -4, -0.6, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 309*d - 11928. Give l(38).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 269 - 250. Suppose 4*o - 3*j = 44, -18*o - 4*j - 11 = -w*o. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-4*(1 + sqrt(52) + -5)*1)**2 + 2).\nAnswer: -256*sqrt(13) + 1090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*a + 39, -275 = -4*m - 2*a - 239. Factor 3\/4*l**m + 15\/2*l + 33\/4*l**2 + 0.\nAnswer: 3*l*(l + 1)*(l + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1179, 473, -1479, -5307, -11641, -21111?\nAnswer: -34347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**4\/12 - x**3 - 405*x**2. Let g be (0\/1 - 7)\/1. Calculate p(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 18. Let m be a(-20). Solve m*z - 4*h - 2 = 4, 2*z + 3*h = -1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 10 = 3*l. Solve l = 5*f - 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193 = 626*k - 612*k - 157 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x**3 + 14 + 98*x**3 + 162*x**3.\nAnswer: 276*x**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 - 4 + 5 + 0 - 3. Let z(o) = -10*o**3 - 11. Suppose 2*d + 6 = -4*i, 17*d - 6 = 5*i + 21*d. Suppose -4 + 15 = g. Give g*v(m) + i*z(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1149 take away 422?\nAnswer: -1571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**3 - 24*t**2 - 183*t - 156 = 0.\nAnswer: -4, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -396398177\/1860210 - -2038\/16911. Let v = k + 2236\/11. Find the common denominator of 57\/22 and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 2\/7, -14.148.\nAnswer: -14.148, 2\/9, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 - 0.9. Let n be (8\/(-12))\/((-2)\/3). Suppose n = 4*f - 3*f. Is f > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 12*(-6)\/(-4). Calculate the greatest common factor of 16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 - (12 + 32 - -23)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.59 + 9.77. Let s = o - 4.48. Let x be 4\/6 + 16\/(-33). Sort -0.03, s, x, -0.5 in descending order.\nAnswer: x, -0.03, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38023\/4270 - -2\/427. Calculate the common denominator of o and 21\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740861.328 rounded to the nearest 100?\nAnswer: 740900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2156 + 2036.3. Which is the second smallest value? (a) h (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*540\/100*3\/(-9).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/656 and -53\/128.\nAnswer: 5248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4798.000007796 + 4798. Round o to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2814 - 2819. Put c, -117, -2, -1, 3 in increasing order.\nAnswer: -117, c, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27861, -30880, -35913, -42960, -52021, -63096?\n\"Answer: -1007*o**2 + 2*o - 26856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 40 times -6037.8\nAnswer: -241512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30442241 (base 5) to base 2.\nAnswer: -111100111101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1524 (base 8) to base 5.\nAnswer: -11402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14586\/(-24684)*6\/(-26)*22\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -9. Suppose i = 4*h - 12, 0*i + 18 = s*h - 3*i. Let o(d) = 2 - h - 10*d - 4*d. Let q(v) = 2*v. What is o(q(j))?\nAnswer: -28*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 - ((-6)\/(-3) - 0) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, x: 3, b: 2, o: 12}. Give prob of picking 1 x and 1 b.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15530 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*i + 11. Let c = 346 + -236. Suppose 12*v = v - c. Is i less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a + 60?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 397 - -704. Is z at most as big as 1102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by 1675\nAnswer: 16\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 714*b**4 + 497 wrt b.\nAnswer: 2856*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.15 + 0.45. Let s = 21.7 + -22. What is the nearest to 0.1 in s, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*(s*s**1)\/s)\/s))**(-2)\/(s**(-5)\/s*s*s**(-5)) assuming s is positive.\nAnswer: s**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-12 - (-4 - 20)) - (3 + -9 + 4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**5\/4 + 158*y**4 + 4932*y**3 - 77868*y**2 + 273348*y - 97200 = 0. What is y?\nAnswer: -36, 2\/5, 6, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*sqrt(272) + -2 + ((1*sqrt(272) + -2)**2 - sqrt(272)).\nAnswer: -16*sqrt(17) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 11, -44 in increasing order.\nAnswer: -44, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*k**2\/8 - 3415*k\/4 - 244.\nAnswer: (k - 976)*(7*k + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t**4)\/t*t)\/(t**(-3)\/t*t*t))\/(t**(-28)*t**28\/t) assuming t is positive.\nAnswer: t**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 1. Let j(a) = -368*a + 1. Let s(c) = -6*b(c) + 2*j(c). Let x be s(-7). Suppose -x = -4*v - 4*k, 8*v - 5*v = -5*k + 3865. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2205551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (4 - 0) - -25) + (-222 - -217)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*m**2 - 5*m**3 + 23*m**2 + 564 - 940*m - 9*m**2 - 136 + 692 = 0. Calculate m.\nAnswer: -28, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 12*s. Let w(o) = 217*o - 217*o - 3*o**2. Give p(w(h)).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5556996458 to the nearest integer?\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l - 18. Let f(q) = -21*q. Calculate f(o(b)).\nAnswer: -42*b + 378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*p - 16, 2 - 14 = -3*p + 3*y. Let k = 0 - 0. Suppose 2*b - 6 - p = k. Solve 0 = -3*u + x - 0*x - b, 3*u = -5*x - 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/15)*k\/k**(2\/9))\/(k*k**(2\/11)*k*k*k**(2\/7)) assuming k is positive.\nAnswer: k**(-8858\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26*(-2)\/8*-14. Let c = n - 88. Solve -4*s + 2*d + 12 = 0, c*s + 0*d = d + 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4173 is divided by 4158?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -54.73 (b) -1\/3 (c) -14.51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 578 = -2*u, -2062*n - 727 = -2057*n + u. Sort n, -0.4, -6, -2\/11 in increasing order.\nAnswer: n, -6, -0.4, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/8 + (-158)\/(-16). What is the common denominator of 43\/2 and ((-36)\/150)\/((-8)\/m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/4*(-6)\/10. What is the greatest common divisor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1673*i*z**4 + 26*i*z**3 - 12*i*z**2 + 395*i*z + 5*i - 4*z - 6 wrt z?\nAnswer: 20076*i*z**2 + 156*i*z - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2453578\/31227 - 4\/4461. Let j = -2652\/35 + d. What is the third smallest value in 0.2, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1\/14, 4, 13, -1\/2?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.34 + 0.19. Let x = q + 0.149997. What is x rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (-1)\/2)*-4. Let p(s) = w + s**2 + 2*s + 0*s - 1 + 4*s. Calculate p(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m + 550 = -18*m. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from {f: 1, p: 3, e: 1, c: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 40212424?\nAnswer: -40212421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**4 + 0*p**4 + 0*p**4 + (22*p + 4*p**2 - 22*p)*(324*p + 71*p**2 - 324*p).\nAnswer: 289*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 29*z - 12. What is the least common multiple of (-3)\/(-4) + (-3210)\/(-40) and y(30)?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05619 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 9*a**5\/8 + 125*a**4\/24 - 39*a**3 + 65. Let g(o) be the third derivative of w(o). Find the first derivative of g(r) wrt r.\nAnswer: 135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-87)\/319*(1 + (-34)\/12). What is the closest to m in 42, -5\/2, 2\/5, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -369 - -388. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 15*k - 13. Let t be s(-8). What is the hundreds digit of 1888\/80*t\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -253687 less than -253702?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14545024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -130*x. Let q be s(-1). Suppose 3*u = -2*u + q. What is the remainder when u is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*(sqrt(2057)*-2 + sqrt(2057)) + (1*sqrt(272) - (sqrt(17) + -1*sqrt(17))*4))**2 + -5.\nAnswer: -496*sqrt(17) + 65359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-267)\/(-9) - (54 + -23)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -9*y + 37. Calculate w(-17).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -8*x + 6. Let i(h) = -7*h - 1. Let p(z) = 1. Let u(k) = -i(k) - 6*p(k). Let w(a) = 5*c(a) + 6*u(a). Let r(l) = -1 + l + 1. Give w(r(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35\/6, 1.3, -5.\nAnswer: -35\/6, -5, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 9101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 6. Let y be p(-2). Let b(h) = -2*h**3 + 3*h**2 + 6*h + 4. What is the tens digit of b(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4465 is divided by 70?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3196 + 6573 + 4091 = 159*y - 474*y for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(1\/2)\/c*c*c)\/c)**39\/((c\/(c*c**(-1\/4)))\/c)**(15\/7) assuming c is positive.\nAnswer: c**(2775\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 572 + 18*x**2 - 572 - 107*x**2.\nAnswer: -89*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from {s: 1, v: 3, m: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -7327, 1, 10, 5, -2\/21 in decreasing order.\nAnswer: 10, 5, 1, 0.3, -2\/21, -7327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*d + 360 = 224 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 2 + 2)*(-6*g - 2*g + g) + (-g - 15*g - 12*g)*(4 + 1 - 2))*(-3*g + g + 0*g) to p*g**2 + q + t*g and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 20374.1nm?\nAnswer: 0.00203741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -159\/517 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(150)\/(sqrt(6)\/(sqrt(6)\/sqrt(3))) + ((sqrt(100)*2)\/sqrt(2) + (sqrt(450) + (sqrt(450)*2 + sqrt(450) - sqrt(450)) + sqrt(450))\/sqrt(9))**2.\nAnswer: 5*sqrt(2) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34677 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/414 and -41\/72.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 5*t**6\/2 + 106*t**5 + 11446*t**4\/9 + 5936*t**3\/9 + 392*t**2\/3 - 41*t. Determine s so that c(s) = 0.\nAnswer: -14, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 0*j + 0*j + 2*j**2. Let q(a) be the second derivative of a**4\/12 + a + 2. Give n(q(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 268 and 12395?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/14*7\/2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1360 and 2346?\nAnswer: 93840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 1. Let a be (-2 + 12\/7)*(17 + -24). Let n(l) = 4*l + 1. Let m be n(a). Suppose f - 16 = -m. Give i(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbm when three letters picked without replacement from bxbmbbmbmmxbbm.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (0 - 9 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y - y + 5*y = 0. Solve 5*w - 10 = y, -18*c + 15*c - w = -8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69907992 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 214065 and 54?\nAnswer: 1284390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38434539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 33*n + 129. Give y(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/727 and -119\/4362.\nAnswer: 4362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1788 and 4172?\nAnswer: 12516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-85 - 7 + 6)*(-3 - 15 - 8)*(k + 1 - 3*k + 0)*(-4*k + 4*k - 2*k) to o + z*k**2 + v*k and give v.\nAnswer: -4472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6705685339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 892 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - -3 - (-17 + 11 - -14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/20*2*(-28)\/(-231)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 6*h**2 - 7*h - 7. Let i be 2 - (-2 + 1 - -8). Let y be m(i). Find the second derivative of -y*d**4 + 4*d + 54*d**2 - 54*d**2 wrt d.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 147\/26 - 54\/13. Let q = 0 - 1. What is the nearest to q in k, 3, 7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75414329 to the power of 1\/2, to the nearest integer?\nAnswer: 8684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4242, -8176, -12110, -16044?\n\"Answer: -3934*d - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 605 and 29089247?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-32)\/(-24))\/((-1)\/(-51)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002 times 0.12?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)\/g*g**(2\/43))\/(g**24\/(g\/g**(2\/3))) assuming g is positive.\nAnswer: g**(-3821\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 0. Let x = -68 - -70. Solve -u = x*k - 3*b + 4, 0 = -k - 4*b + 19 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s + 18. What is t(8)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 267, 7\/9, -0.4, -14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 71, 128, 185, 242, 299?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110781 divided by -3.\nAnswer: -36927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201221 - -212211110?\nAnswer: 212002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55333 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.3939 rounded to zero decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 0 - 28 - -15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 10. Calculate the remainder when r is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(4) + -2 + ((sqrt(135)\/sqrt(5))\/sqrt(9))**2.\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 270 - 270. Let q be -1 + -4689996 + z + -6 + 3. Round q to the nearest 100000.\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 5. Let h = 0.07 + 0.17. Let r = h + 2.76. Which is the closest to -1? (a) 4\/7 (b) r (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(8\/6)*-1. Suppose 5*n - 3*m - 11 = 6, -15 = -k*n + 3*m. Let y(j) = 4*j**3 + j**2 - 1. What are the prime factors of y(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 509\/13 - 39. What is the nearest to -3\/8 in w, -5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498759413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 36 - 104 = 0. Suppose 3*i = 8 - 29. Let d(m) = -m**2 - 13*m - 10. What is the remainder when d(i) is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 592*n - 60 = 588*n. Solve -4*a = 31 - n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 29, 37, 47, 59, 73, 89, 107?\n\"Answer: z**2 + 5*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2611 (b) 0.0485 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 at most 681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*n - n + 13 = 0, -7 = -4*l + 5*n. Let v = -1\/142 - 275\/1278. What is the nearest to v in l, 0.05, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 0*v + v**3 + (1 + 3*v**2 - 1)*(2*v - 2*v - 2*v + (1 - 4 + 5)*(4*v - v - 5*v) + 5*v + 6*v - 6*v) - 17*v**3 - 17*v**3 + 2*v**3.\nAnswer: -34*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4171?\nAnswer: 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-593 + 10*o + 593)*(7 - 2 + 3) to the form c*o + g and give c.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*w + 68 = 0, 2*w = -5*z - 0*z + 76. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 181, 401, 631, 877, 1145?\n\"Answer: j**3 - j**2 + 216*j - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**5 - 32163*v**4 + 87900474*v**3 - 9047442906*v**2 + 17831313027*v - 8871738435 = 0 for v.\nAnswer: 1, 105, 5307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 261\/10 greater than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(-27)\/30 - 2\/(-5). Let c be -18*((-74)\/n - (-30)\/15). What is the greatest common factor of 27 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -577 + 582. Let w = -1 - -4. Suppose 2*n - 1 = -9, n = -w*y + 131. Calculate the highest common factor of y and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*m + 4*k - 32, 3*k = m - 28. Let g = 23 - m. Let h = 33 + -3. Solve 4*q + q = 3*v + h, q + g = -2*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.128606 and -904.\nAnswer: -903.871394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-11)*m\/(m*m**(-5\/8)*m) assuming m is positive.\nAnswer: m**(-91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-2*d - 7*d + 3*d)*(-14 - 7 + 10*d + 23).\nAnswer: 120*d**2 + 24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4280010?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-5) + 58\/5. Suppose -5*q - a = -q. What is the units digit of 14 - (q - (-2 - 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39458, -78910, -118362, -157814, -197266, -236718?\nAnswer: -276170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 68627*l + 274792. Determine a(-4).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/15 and (-1054)\/(-44) - (-12)\/22?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459*v**3 + 28*v + 478*v**3 - 28*v - 196*v**3.\nAnswer: 741*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, 7, -38, -3, -5 in ascending order.\nAnswer: -38, -6, -5, -3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nuuunuuwn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(-10) + 118\/(-590)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-190)\/152)\/((-2)\/48). Solve -11*v + v = -g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*h - 53*h - 2 + 2 in the form r*h + t and give r.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 927520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*y**2)*(3*y**2 + 0*y**2 + 0*y**2) + y**4 + 37*y**3 - 39*y**3 + y**2 - 2*y**4.\nAnswer: -7*y**4 - 2*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4334354 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-2\/7)*s))**(11\/2))**45 assuming s is positive.\nAnswer: s**(495\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 616\/(-5544)*(-5*3)\/(-3)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/2)*s**(-1\/3))**(1\/51)\/((s**(1\/4)\/s)**(4\/13))**(19\/2) assuming s is positive.\nAnswer: s**(4289\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -64*a - 17. Determine q(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78607327*z**5 - 80617*z + 5618?\nAnswer: 1572146540*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -22703191 times 1\nAnswer: -22703191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from noppopopoooooypooqpn. What is prob of sequence yq?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbg when three letters picked without replacement from {k: 1, b: 4, z: 1, g: 6, y: 6}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36375739, -36375738, -36375737, -36375736, -36375735?\nAnswer: -36375734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*g**2 + 2*g**2 + 8*g**2 + 8*g to the form y*g**2 + a + p*g and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-4 - -5) + (-1 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 10 = 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = -11*f. Suppose f = -2*q + 4*r - 1460, 0*q - r + 1460 = -2*q. Round q to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 2. Suppose 0 = -5*g, k*y + 0*y + 2*g = 15. Suppose 55 = 5*u + 3*j, y*u - 3*u - 22 = -2*j. Solve -2*f + 4*f = -2*m - 4, -3*f - u = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -21058\nAnswer: -42116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -592 - 550*c - 926 - 1247 + 2345*c wrt c.\nAnswer: 1795","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i*n**4 + 19*i*n**2 + i*n - 3*n**4 + 229*n wrt n.\nAnswer: -24*i*n**2 + 38*i - 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 - 56. Suppose 3*u + 2*v = l, 2*v = 2*u + 5*v - 61. Let m = u - 19. Solve 2 = -4*j + m*x + 10, 2*x = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (17 - -4) + 4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**4 + 3*s**4 - 186*s**5 - 8*s**4 + 63*s**5 + 8*s**4 + (3 - 3 + 2*s**5)*(0 + 4 - 2) + 5*s**5 + 86 - 86.\nAnswer: -114*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v. Let g(r) = -3*r + 1. Let b(u) = -2*g(u) - 3*s(u). Does 9 divide b(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -117, -113, -109?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75824.9*0.1712.\nAnswer: 12981.22288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5712\/215695?\nAnswer: -5712\/215695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*26\/91?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1277 - -758. Let y = -184 - b. Let f = 1663\/5 - y. Find the common denominator of f and 11\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3707307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 776144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.677 + 0.453. Is 0 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 298*c**2 + 247. What is the remainder when l(8) is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/12 - 207840\/(-45). Suppose 9*j - o - 52 = 0. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 106 + 0 + 1790*y - 866*y - 859*y.\nAnswer: 65*y + 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4133232 (base 5) to base 11\nAnswer: 47056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3 + 4 - 2*g + 1. Let v(k) = 2*k. Let w be v(-2). What is u(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-70))\/(3\/(-15)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s\/s**4)\/s*s*s))**45*s*(s*s**(-1\/41)*s)\/s*s**23*s)**(-1\/2) assuming s is positive.\nAnswer: s**(-4755\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -19*h**2 + 136*h - 25. Determine s(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/22? (a) -0.1 (b) 2\/11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s - 7. Let b = 23 - 20. Let w be g(b). Suppose 0*y + 64 = w*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*sqrt(7))**2*6 - 5*(sqrt(63) + -1).\nAnswer: -63*sqrt(7) + 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20, -3, 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*a + 106 - 85, f - a = 8. Solve 2\/5*d**f + 0*d + 8\/5*d**4 + 4\/5*d**2 + 0 + 2*d**3 = 0 for d.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 660 + (171\/(-38))\/(2\/4) and 18?\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 155 and 29695.\nAnswer: 920545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 6*p**2 + 9*p + 24. Give o(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/14*(3458\/(-57))\/26?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/11, -1, -5, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 2*p + 132. Let m(z) = -z**2 + 23*z - 23. Let q be m(p). Which is the second smallest value? (a) 5\/3 (b) -0.2 (c) 0 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence roro when four letters picked without replacement from {r: 6, o: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzgz when four letters picked without replacement from {i: 4, g: 2, z: 5, f: 8}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4007\/9 - 445. What is the nearest to 0.1 in 0.18, -2, -0.3, t?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118 + -216. Let l = j - -97.8. Which is the second smallest value? (a) 1 (b) l (c) -2\/3 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007182452 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5097 + 7737 = 18*n. Is 714 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*((-6)\/10)\/(90\/(-100)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-6\/13)*o)\/o**4 assuming o is positive.\nAnswer: o**(-32\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14364126 (base 7) to base 9\nAnswer: 2503113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, p: 2}. What is prob of sequence ppkk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, z: 12}. What is prob of picking 2 z and 1 w?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdppdapppp. What is prob of picking 3 a and 1 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 11 + 9 = x, x - h = 0. Let g(s) = -66*s**2 + 331*s - 7. Let p be g(5). Which is the nearest to p? (a) x (b) -2\/7 (c) 17 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-544 + 544 - 48*f + (1 + 0 - 2)*(-4*f + 5*f - 2*f))*(-f - 8*f + 2*f).\nAnswer: 329*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033486552 to the power of 1\/2, to the nearest integer?\nAnswer: 32148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6505, 13018, 19531, 26044, 32557, 39070?\nAnswer: 45583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*4\/14)\/((-355)\/994)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5 + 8*f**4 - 10*f**3 - 8*f**2 + 9*f.\nAnswer: f*(f - 1)**2*(f + 1)*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1079.\nAnswer: -1\/1079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 4*b**2 + 2*b + 1. Let p be w(-2). Suppose -r - 12 = -p*r. Suppose -r*i = 2 - 26. Solve -5*c + 3*v - 32 = 0, -3*v = 3*c - 2*v + i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6232436*u**2\/9 + 2077466*u\/3 - 38\/9 = 0 for u.\nAnswer: -1, 19\/3116218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-33)\/(-308)*7\/(-6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -53, -97, -141?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.943 * -5.\nAnswer: 9.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -96038 and 5.\nAnswer: -96033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 8*i**3 + 20*i - 348. Let f(o) = -26*o**3 - 64*o + 1044. Give -5*f(k) - 16*v(k).\nAnswer: 2*k**3 + 348","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*w = 13. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = h + 29 - 851, 5*h + 216 = i. Let y = i + -199. Let f(d) = 2*d**2 - 13*d - 6. Determine f(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6)*3\/2. Find the common denominator of 198\/(-56) + (-12)\/16 and (j\/3)\/((-15)\/260).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141\/(-12)*6*172\/430 - (-4)\/(-5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5d50 (base 15) in base 2?\nAnswer: 100110110100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u**2 - u - 4. Let w(c) = -21*c**2 + 4*c + 17. Let b(j) = -9*f(j) - 2*w(j). Calculate b(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97\/273 - 2\/91. Let a(r) be the second derivative of -3\/10*r**5 + 1\/2*r**4 + 4*r - x*r**3 + 1\/15*r**6 + 0*r**2 + 0. Factor a(t).\nAnswer: 2*t*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*u + 78 + 6 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26911*o**3 - 2 - 26920*o**3 + 2.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*r + 0 + 0 + 148*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6742 divided by 1327\nAnswer: 6742\/1327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -10984?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2837 + (3 + -1 - 5). What is v rounded to the nearest 100?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 24. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 619.1196 centimeters to micrometers.\nAnswer: 6191196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -119 + 120. Sort 4, r, 0.9, -0.4 in decreasing order.\nAnswer: 4, r, 0.9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*u + 439175, 2*u = -764*l + 760*l + 351342. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4101 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59 + -14 - 39) + 30?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008438 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**3 + 1985*t**2 + 196015*t - 198005 = 0?\nAnswer: -199, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-9) - 2660\/(-180). What is the remainder when 95 is divided by (-180)\/b*14\/(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000036547 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 22*g + 17. Suppose 14*u - 152 + 12 = 0. Let o be f(u). Let k(m) = 3*m**2 + 3*m - 3. Let v(c) = c - 1. Calculate o*v(d) + k(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*z**4 - 42257*z**3 + 3*z**2 - 52321681*z wrt z?\nAnswer: 192*z**2 - 253542*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, -5, 17 in decreasing order.\nAnswer: 17, 2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28749.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40159*f**2*p*w + 2*f**2*w - 3580*f*p*w + 4*p*w + 7796294*p with respect to f.\nAnswer: 80318*f*p*w + 4*f*w - 3580*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**6\/160 + w**5\/60 + 7*w**4\/24 + 2*w**3\/3 - 23*w**2\/2 - w + 8. Let g(j) be the first derivative of x(j). Factor g(a).\nAnswer: -(a - 4)*(a + 2)*(3*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681096 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 31*k**3\/2 + 77*k**2\/2 - 46*k - 70. Let y(m) be the first derivative of c(m). Differentiate y(f) with respect to f.\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/2 of a millimeter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and (-90)\/15*(-80)\/6?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1211*w - 2413*w + 1202*w - 5221*w**3.\nAnswer: -5221*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.627 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41\/2205 + -2\/49. Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.4, 2\/13, 2\/65, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005416 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3394385618*j**4\/7 + 373380770100*j**3\/7 + 10267835227850*j**2\/7 - 4984815000*j\/7 + 605000\/7 = 0.\nAnswer: -55, 10\/41197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 13870 and 13860 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-74)*3*(-17)\/408*2?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q + 170. Let k(b) = 27*b - 1020. Calculate 13*f(j) + 2*k(j).\nAnswer: 2*j + 170","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -442 + 1865.\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 7. Let w be z(9). Suppose 0 = 5*n - d - 8 - w, -3*n = -4*d - 23. Is 7\/3 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 427 and 6085177.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/18 and 9\/4336.\nAnswer: 39024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/2)\/(1012\/759).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6*g - 5*l = 5, 2*g - 2 = 2*l. Let c be (-162)\/39 + g - -4. What is the biggest value in c, -1\/7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128*d**2 - 52 - 132*d**2 - 18*d - 171 + 259*d**2 with respect to d.\nAnswer: -2*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -21 - (-38 + 34 - (5 - 6))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -20. Solve r*k + 1 = a + 2*a, -5*a = -2*k - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499*t**2 - 1256*t**2 + 758*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15992 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*l + 25, -4*t + 10 = 3*l - 14. Suppose -5*h = 5*v - 35, -9 = -h - 2*v + 3*v. What is the lowest common multiple of t - -2*(-4)\/(-4) and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20211110122101 (base 3) to base 2.\nAnswer: -1101110110011100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154 + -109 - 109 - -37?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 9*w**3 - 2*w**2 - 3*w + 4. Let a be p(1). Factor 55*i - 1 - 163*i + 48*i + 51*i - a*i**2.\nAnswer: -(i + 1)*(8*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4267.95046019 + 4263.85046. Let i = -4.1 - n. What is i rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3333 (base 7) to base 12\nAnswer: -840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*g - g + 37, 5*g = -3*o + 77. Calculate the remainder when 84 is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccgclqdcdddc. What is prob of picking 1 g and 1 l?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 116, 16, 0.4, -7\/2, 0.1, 2?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/14*(-14)\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, r: 7}. What is prob of picking 3 r and 1 c?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 50\/28 - (-4)\/(-14). Let f be (-3)\/9 - (-3 - -2). What is the second smallest value in -0.1, d, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16028328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -40 (b) 5 (c) 1.02 (d) -72\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**8\/1680 + y**5\/60 + 2*y**3 - 3. Let a(i) be the third derivative of f(i). What is the second derivative of a(w) wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/3 of a week?\nAnswer: 77280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010749 to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 4\/(-22) + (-2278)\/(-187). Let n be (-157)\/(-2) + -3 - v\/(-8). Suppose 3*t + 2*t - 35 = 0. What is the highest common factor of t and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -76)*(13\/(-104))\/((-4)\/(-16))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**18*h\/(h\/h**5*h)*h*(h\/h**(9\/5))\/h*h**7 assuming h is positive.\nAnswer: h**(141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/7 not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296998.\nAnswer: 2, 13, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/1311 + -13096\/9177. Let r = -184\/119 - t. What is the closest to 0.1 in -5, -2\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + b + b**2)*(2 - 3 + 3 + (0 + 0 - 1)*(-2 + 0 + 3)) in the form g + c*b + u*b**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -189815, 7 in increasing order.\nAnswer: -189815, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**5 + 334*c**4\/3 - 1498*c**3\/3 - 7394*c**2 - 22864*c\/3 + 25480\/3 = 0.\nAnswer: -5, -2, 2\/3, 13, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 145917724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 + 596*p + 147720. What is b(459)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -10*g**2 - 20*g + 17. Let q(m) be the first derivative of -m**3 - 7*m**2\/2 + 6*m + 1422. Give 17*q(o) - 6*v(o).\nAnswer: 9*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7547797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 - 71 = -2*t. Does 24 divide 210\/84 + 1159\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92.83 - 98.83. Which is the closest to f? (a) -1\/3 (b) 0.1 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3 + 35 + 8*a + 29*a**2 - 60*a**2 + 13*a. Let b be d(27). Round b to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109*a**6*i**2 - a**6 - 5*a**2*i**2 + 43*a**2 wrt a.\nAnswer: 13080*a**3*i**2 - 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -890 + 967 - 2438 + 127*s - s**2.\nAnswer: -s**2 + 127*s - 2361","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b*n*w - 4*b*n - 2*n*w**2 + 2*n*w + n - 3*w**2 - 3 wrt w.\nAnswer: -b*n - 4*n*w + 2*n - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246 + 393 + 258*z - 257*z.\nAnswer: z + 639","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-40))\/(20\/250)*1\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 12:06 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*t - 48*t + 96*t + 5*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 + -0.05. Let r = -35.8 - -36.3. Sort y, 4, r, 0.2 in ascending order.\nAnswer: y, 0.2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -2*k - 25 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q**3 - 4*q**2 + 5*q - 12. Let o(a) = a**3 - a + 1. Let t(l) = k(l) - o(l). Is t(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 v, 1 h, and 1 a when four letters picked without replacement from {z: 5, j: 4, a: 7, h: 1, v: 1, u: 2}.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 = 10. Let b be 3\/(-36)*g*-3*-1. Let i(u) be the third derivative of u**4\/12 + u**3\/6 - u**2. Determine i(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q + 26*q = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -144.53829 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1415484 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 535104721 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3675*k - 3674*k + 0 + 3*k**2 + 5*k**3 - 4*k**3 + 2*k**2 - 1. Calculate y(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 7 + -4 - (3 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1353965*w**2 - 676575*w**2 - 677391*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4153 times -2\nAnswer: -8306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1089732 + -7628094\/7. Factor 36\/7 - 69\/7*b + d*b**2 + 3\/7*b**3.\nAnswer: 3*(b - 1)**2*(b + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 0 (b) 5 (c) -25\/7787\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/72 and -83\/108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12194\/(-5226)*((-12)\/(-469))\/(-6)\nAnswer: 2\/201","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + -1 + (-106)\/(-14). Sort -0.8, v, 2, -0.3 in ascending order.\nAnswer: -0.8, -0.3, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27339, 27340, 27341, 27342?\nAnswer: 27343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.66 and 0.464.\nAnswer: 0.30624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14567\/3 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 191080733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05102882 rounded to 5 dps?\nAnswer: -0.05103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z + 189 = -14*z. Solve 30 = z*t + 37 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4 = -5*l. Let 0*b**4 + 3*b**3 + 10*b**l - b**3 - 2*b**4 = 0. What is b?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 808913 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 13*s + 244. Give k(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {e: 1, f: 1, v: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 10*o**2 + 8*o + 13. Let k be t(9). Find the common denominator of 89\/20 and k + 263\/(-20) - -5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 1. Suppose 6*x = 5*x + 1. Let r be 3*(12\/9 + -2). Let s be (10\/5)\/(r\/2). Let h(n) = -2*n**2 - 2. What is s*v(a) + x*h(a)?\nAnswer: -2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 10215.2408260811.\nAnswer: 10216.2408260811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6327692064 to the power of 1\/3, to the nearest integer?\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/605*125\/50\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 8*f - 11*f + 6711, 0 = 5*c + f - 11209. Calculate the remainder when c is divided by 746.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.47 - -685.47. Let s = r + -669.97. What is s rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*v + 5*y, -2*v = -4*y + 8 - 40. Suppose -n + 2*n - v = 0. Suppose -n*c + 9 = -3*c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, y: 2, d: 1, g: 1, q: 11}. What is prob of sequence hd?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2630 plus 2095.75?\nAnswer: 4725.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -52372 + 157*d**2 + 52375 - 7*d**2 + 2*d + 195*d**2 as r*d**2 + c + u*d and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 32*k + 34. Let s be z(14). Suppose s + 2158 = 12*h. What is the highest common factor of 20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 15 = 3*n + n, 0 = -4*n - 5*z + 11. Let d be (n\/3)\/2*2\/6. Which is the second biggest value? (a) 5 (b) -15 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrvrvrr. What is prob of picking 3 r and 1 v?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1815 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 39 (c) 98.665\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 - -87. Sort -7, -4, l, -3 in ascending order.\nAnswer: -7, -4, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i - 2*i - i + 4 - 2. Calculate v(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m**2 - 4*m**2 + 4*m**2)*(-2 - 3 + 8) to the form o*m + z*m**2 + x and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-67*d**2 - 20*d**2 + 17*d**2)*(0 - 2 + 0)*(0 - 1 - 10) as k*d + g + q*d**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -9*(-12)\/(-18) + 59336\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-1)\/sqrt(8)*-4 - (0 + ((sqrt(51)\/sqrt(3) - sqrt(17)) + sqrt(17))*-1)**2.\nAnswer: -17 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.419 + -4.439. What is the smallest value in 1\/8, 3\/5, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25682721 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 25 = 3*y, -6*y + 3*t + 39 = -2*y. Suppose 20 - 26 = -2*x - 2*i, -i - y = -2*x. Let q(w) = -1 - 3*w**2 + w**3 - 2 - 3*w - 2. Determine q(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 7\/10, -4?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 6\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 2*k**3 + 4. Let g(f) be the first derivative of -7*f**3\/3 + 1. Calculate -4*g(m) - 5*o(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8022559*g**2 + 4*g. Let w(v) = -v. Give w(y(a)).\nAnswer: -8022559*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3) + (-74)\/(-3). Let i be p - (-2)\/(-3 - -4). Suppose -x + i = -31. List the prime factors of x.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.38278 + -0.4?\nAnswer: -1.78278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4892 is divided by 105?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74134 by 101.\nAnswer: -734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19, 61, 129, 223, 343, 489?\n\"Answer: 13*n**2 + 3*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**3 + 2*g**2 - 2*g - 5. Let r be a(-1). Sort r, -5, -27, -1 in descending order.\nAnswer: r, -1, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2597*w**5 - 2*w**3 - 5*w**2 - 2*w.\nAnswer: 155820*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 6:33 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 171248 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiaimxmxamgx. What is prob of sequence agi?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - j + 3. Let y(f) = f**3 - 1. Let s(n) = -p(n) - 4*y(n). Let v be s(-1). Suppose -u = 2*u - v. What is the least common multiple of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 99 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 76 + 56. Let u be f\/4*26\/6. Suppose -5*v + 2*m + m = -u, 2*m = -2. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 285*h**4\/8 - 273*h**3 - 587*h**2. Differentiate s(q) with respect to q.\nAnswer: 855","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.35 in 5, 13, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 28*l**2 + 22*l - 205. Let r be m(-29). Let b(z) = 4*z**3 + 2*z**2 + 4*z + 3. Give b(r).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -22 - (26 - 215\/5). Put w, -1, -150 in decreasing order.\nAnswer: -1, w, -150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2 (b) -0.3 (c) 6 (d) 3 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g - 622260 = -26*g. What is g rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79489 is divided by 2234?\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 1:52 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*c + t, 4*c + 138*t - 142*t - 24 = 0. What is the least common multiple of 38 and c?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a + 16. Let t(n) = -2*n - 17. Calculate 5*p(l) + 4*t(l).\nAnswer: 2*l + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaavavvvavavaaaaaav. Give prob of sequence vvav.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20001200110100 - 0?\nAnswer: 20001200110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - (-4 + sqrt(605)*2)**2) + -3 + 3 + sqrt(605).\nAnswer: -2436 + 198*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48854 at most as big as 48855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 + -60. Let n(l) = l**2 - 8*l - 9. Let j be n(q). Let v be 7\/6*(-64)\/(-336). Which is the closest to j? (a) 1\/4 (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oosoqsssososxs. What is prob of sequence sq?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 22 + 19*m - 83 + 29 + 32. Let p(l) = l**2 + 18*l. Let b(j) = 2*j. Let s(k) = 18*b(k) - 2*p(k). Calculate s(z(o)).\nAnswer: -722*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-8 - (-1 - 13)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*x + 2 + 2*x**2 - 30*x - 4*x - 24*x as b + c*x**2 + f*x and give f.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4064 - -4069. Let h(w) be the first derivative of 0*w - 16 + 3\/40*w**c + 3\/8*w**3 - 9\/32*w**4 - 3\/16*w**2. Factor h(y).\nAnswer: 3*y*(y - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -20. Let a(m) = -m**3 + m**2 - 7. Let p(h) = h**3 - h**2 + 8. Determine w*p(y) + 6*a(y).\nAnswer: -y**3 + y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0\/3 - -1*40.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*w - 143 = 94*w. Solve -2*a = -5*c - 5, -5*a + 9 - w = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 q when three letters picked without replacement from {q: 2, e: 10, w: 6}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 911311.\nAnswer: -25\/911311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*b - 744 = -123*b - 126*b. What is the highest common divisor of b and 25203?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 + 24 = -7*y. Let p be (24\/y)\/(2\/(-5)). Solve p = 4*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/(w\/(w**0*w)*w)))**(-4\/3)\/((w**(2\/3)\/w)\/(w**(-5)\/w)))**(-50) assuming w is positive.\nAnswer: w**(1250\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 12*i**2 - 38*i + 1. Determine z(-5).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 9*o + 8. Let k be l(8). Suppose k = 3*t + 4*n - 20, 5*t + 10*n = 5*n + 30. Suppose y = 6*y + 20. Put 2, y, t in descending order.\nAnswer: t, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 592977 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13083181399 - 1.42\nAnswer: -13083181400.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**5\/20 - g**4\/12 - g**3\/6 - 15*g**2\/2 - 2*g + 296. Calculate d(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5 and 10621.\nAnswer: 15931.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 0.37, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 816, -612, -2992, -6324, -10608, -15844, -22032?\n\"Answer: -476*o**2 + 1292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -147, -291, -435, -579?\n\"Answer: -144*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**4\/12 - 189*i**2 - 2*i. Let m(l) = -327*l**2. Calculate v(m(c)).\nAnswer: -654*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 414.29 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -191, 3, 1, -4.\nAnswer: -191, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 456 + -453. Let -1\/5*k**b - 2\/5*k - 3\/5*k**2 + 0 = 0. What is k?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p**2 + 3431*p + 50350. What is a(-475)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -4. Let n = -5 + 4. Let c = i + n. What is the closest to 0 in -2, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6953, 7662, 8371?\nAnswer: 9080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4913*t**4\/3 - 32946*t**3 + 64872*t**2 - 44640*t + 10368 = 0.\nAnswer: 12\/17, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g + 2048234 - 2048234.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 12*v - 44. Is x(-18) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 428, 93, 1, -3, 0 in ascending order.\nAnswer: -5, -3, 0, 1, 2, 93, 428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11\/7 (b) -38 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(6\/8))\/(((-8944)\/(-387))\/(-26)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.8 + 3. Which is the closest to -0.1? (a) p (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 1. Let f be v(-5). Let k = f + -5. Suppose -k*b = -b - 105. What is the remainder when b is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 - 68. Which is the smallest value? (a) o (b) -2 (c) 14\/15 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 27*y**2 + 45*y - 40. Let u be q(17). Suppose 0 = 2*b - 2*w - u - 1280, -5*b + 24526 = -3*w. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 20 = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 230 + -230. Suppose 0 = -2*o + 6, -w - 2*o = -m*w - 10. Solve -10*b = -11*b - w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6600500, 13200932, 19801352, 26401754, 33002132?\n\"Answer: -c**3 + 6600439*c + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a factor of 630039817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 2*j - 3. Let y be s(-4). Find the third derivative of 2*p**2 - 2*p**5 + 3*p**3 + 3*p**y - 3*p**3 wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5 + 16*m**4 + 10*m**3 - 100*m**2.\nAnswer: 2*m**2*(m - 2)*(m + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 4*x**2 + 19*x + 19. Suppose -3*z = 3*j + 2*j - 26, -3*j + 36 = -5*z. Let w be o(j). Solve -7*f + 4*y + 20 = -3*f, -w*f + 5 = -y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 11:26 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -325*p + 480. Let f be d(-6). Calculate the greatest common factor of 90 and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -7. Solve -5*h = -a + j + 4, 0 = 3*a + h - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -6 - 44 - -25.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5180133 divided by 1?\nAnswer: -5180133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**2\/2 + 5*h - 1. Let d be t(8). Sort -4, d, 0 in increasing order.\nAnswer: -4, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 53.53863km?\nAnswer: 53538.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + -132 + 212 + -119?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 37345*z**3 + 5*z**2. Let a be c(-4). What is a rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 151 - -45. Does 49 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43160 is divided by 1199.\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320409 is divided by 1602.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -5. Suppose s - 3*s + 6 = z. Solve 2*b = p + 3, 0 = 4*p - 4*b + s + 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6977.839 milligrams in kilograms?\nAnswer: 0.006977839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 2*o. Let d be b(-1). Let z be -3 - (3 - -6624)\/d. Let f be (-8)\/10 - z\/(-30). Round f to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**4\/6 - 3*y**3 + 2*y**2 - 9*y. Let k be n(-9). Solve -k*i = -0*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -3. Differentiate -o + 6 - 2 - 3*p wrt p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -6*a**2 + 26553*a - 106116 = 0.\nAnswer: 4, 8843\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/(((-72)\/114)\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25d9 - 56?\nAnswer: 2583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**3 - p**2. Let d be o(1). Suppose -a - 43 = -5*v, v - d*a - 19 - 4 = 0. What is the smallest common multiple of 2 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 2*z + 1. Let b(w) = w - 5. Let k be b(3). Let t be d(k). Is -11 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3087291706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-231)\/330)\/(42\/(-24)))\/((-22)\/(-3630)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 6*b - 27 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 3*s**2 - 2*s - 4. Let t be j(4). Let m = t - -29. Suppose -2*g - 3*g = -15. What is the highest common divisor of m and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11899632869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95*s**2 - 5 - 22 + 0 - 548*s**2 - 410*s**2 - 4*s wrt s?\nAnswer: -1726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/2 - 2677*t**2\/2 + 38291*t + 278040 = 0 for t.\nAnswer: -6, 35, 2648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32405323 + 1001?\nAnswer: -32404322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -327 = -325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1652*w + 626*w + 599*w + 583*w.\nAnswer: 156*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/80 and -27\/47290.\nAnswer: 378320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: a (base 13) to base 10\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793359647?\nAnswer: 10589, 74923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/(-48))\/((-2)\/36*2). Suppose 84 - 53 = 5*k + q*l, 3*l = -2*k + 16. Which is the third smallest value? (a) 0.2 (b) k (c) 23\/4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14876132 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrvvrrvvcvrrlvvrvvr. What is prob of sequence rlvv?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -de + -5?\nAnswer: -e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101396160 is divided by 1179025.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33668 - -33671. Let z(q) be the second derivative of -3\/4*q**5 + 29*q + 0*q**2 - 1\/10*q**6 + 0 - 2*q**c - 2*q**4. Factor z(l).\nAnswer: -3*l*(l + 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2924*p**5 + 6917*p wrt p.\nAnswer: 58480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(1\/2))\/s*s*s*s**(-2\/3))**10\/((s\/(s**(-2\/7)*s))\/s*s*s*s\/s**(2\/3)*s**(-4)*((s**4\/s)\/s)\/s) assuming s is positive.\nAnswer: s**(138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 970?\nAnswer: -969.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -525 - -552. What is the smallest value in v, 2\/5, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -82 (b) 3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 3*n + 1. Let g be w(-2). Let 15*r**2 + g*r**5 - 9*r**3 - 3*r**2 - 4*r - 12*r**4 + 10*r**4 = 0. What is r?\nAnswer: -2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -44*q**2 - 7*q + 6. Give k(1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/27 (b) 2\/9 (c) 155861\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-10))\/(-1)*-5. Let h(q) = q**3 - 3*q - 1. Let w be h(-1). Let c be 8*(1\/4)\/w. What is the highest common divisor of c and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 12. Suppose 0 = -t*s + 3*x - 6, -6*x + 2 = -2*s - 2*x. Let b = -2 - -3. What is the biggest value in -1\/6, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/95349 in -0.3, -1\/3, -3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8189 or 8561?\nAnswer: 8189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 24. Suppose v*z - 5*z - 8 = 0. Solve -19 = -z*p - 5*d, 4*d - 9 = 3*p - d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 2*u**2 - 12*u. Let c be r(5). Suppose -h - 13 = -c. Solve -4*m + 3*w = w + 26, -h*m - 7 = w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (522 + 522 - 1041 - 10*t)*(-t**3 + 7*t**3 - 2*t**2 + 5*t**3).\nAnswer: -110*t**4 + 53*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.8, 0.6, -5, 2, -15\/341, -11?\nAnswer: -15\/341","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66670 is divided by 794.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1571907, -3143775, -4715643?\n\"Answer: -1571868*x - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/17 and -107\/509046.\nAnswer: 8653782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o - 775 = -528 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 215801?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -1423)\/(8\/10 - 1). Let f = 10776 + g. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -4 (b) 15 (c) -20 (d) -3\/2 (e) 3 (f) -889 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -101 (b) 89 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/59 in 10\/7, -0.2, -2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10824 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-42) + (-20)\/210. Solve -i + y + 1 - 2 = f, 4*y = i + 13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -6*k + 10. Let c(j) = 52*j + j + 2 + 13*j + k. Is c(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4218)\/(-42) + 12\/21. Suppose 4*r + 81 = x, -4*r = -2*x - 19 + d. Let g be (-2 + r\/(-12))*4. What is the nearest to 0.04 in -1\/3, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 t when three letters picked without replacement from taattbpttpkbk.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -7*q + 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1512, 1527, 1556, 1605, 1680?\n\"Answer: x**3 + x**2 + 5*x + 1505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (728\/130)\/(2037\/(-4365)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/3)\/u**(-8))\/(u**2)**(1\/5) assuming u is positive.\nAnswer: u**(124\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 5 + 18 + -47.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41250 or -206244\/5?\nAnswer: -41250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -113622, -113613, -113598, -113577, -113550, -113517?\n\"Answer: 3*c**2 - 113625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 514116*v**2*z - v**2 + v*z - 3*v + 94*z - 3 wrt v?\nAnswer: 1028232*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-12)*1)\/(2\/4)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, r: 1, f: 4, z: 4, j: 5}. Give prob of sequence jff.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 4*w = 6*u + 8, -2*u + 3380 = -5*w + 3390 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24438.1 and -6.99316.\nAnswer: -24445.09316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.788 less than -0.16?\nAnswer: 1.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**4\/4 - 7*a**3\/3 + 11*a**2\/2 - 15*a + 4. Let l be (8 - -4) + -3 + -3. Calculate the remainder when 57 is divided by r(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + 427?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 2*z**2 - 12*z + 4*z**2.\nAnswer: 2*z**2 - 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -460 + 4*b + 38*b**2 - 12*b - 14*b**4 + 6*b**3 + 436 + 2*b**5 = 0. What is b?\nAnswer: -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2942*q**4 + 11358*q**4 - 3299*q**4 + (1 + 1 + 0)*(q**4 + q**4 + q**4).\nAnswer: 5123*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -11, -21.\nAnswer: -21, -11, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-1056)\/(-64)) - 390\/9?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2133 and 0.91.\nAnswer: 1941.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 o when four letters picked without replacement from ixiixuiixouiiiii.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 165*w + 8763. What is c(-43)?\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3587723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**2 - 3*q + 2. What is the tens digit of u(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -1. Let q(s) = -2*s - 2. Let x be q(-7). Let h = l + x. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + o - 1. Let v(w) = -w**2 + 15*w - 3. Let z(d) = -d**2 - 2*d - 1. Let s(i) = -v(i) - 6*z(i). Calculate s(p) + 5*y(p).\nAnswer: 2*p**2 + 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1900)*1 + -2 + sqrt(1900)*-2)**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 152101057873.\nAnswer: -152101057870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, -9, 3, -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111122 + 20?\nAnswer: -111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.03, -0.2, 1\/14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n - n + 2*n. Let b(m) = 8*m**2 - 3*m + 3. Let j(u) = -24*u**2 + 8*u - 8. Let k(v) = -8*b(v) - 3*j(v). Determine k(i(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -595 - -283. Let o = 311.96304 + x. Round o to three dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**5\/7 + 172*d**4\/7 + 244*d**3 + 4352*d**2\/7 + 66*d\/7 - 900 = 0.\nAnswer: -75, -7, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 18848578*p + 1890. Let w be d(-5). What is w rounded to the nearest one million?\nAnswer: -94000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + 3234\/210 + 41.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - 200. Let z = -207.4 - m. Round z to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 1:51 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/312 and -113\/2382?\nAnswer: 123864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -39.1. Let u = -0.03 - -0.43. Let v = -0.2 + u. Which is the third smallest value? (a) -0.4 (b) g (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -d + j, 2*d = 244*j - 247*j + 8. What is the nearest to -2 in 2, 13, d, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 357016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 51\/376 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**7\/1155 + 661*o**6\/330 + 146519*o**5\/110 + 435599*o**4\/33 + 1737124*o**3\/33 + 6*o**2 - 620. Suppose f(z) = 0. What is z?\nAnswer: -659, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 14, -5, -16, 5, -3.\nAnswer: -16, -6, -5, -3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-350)\/45 - 6\/27. Let h(d) = -4*d - 13. Let y be h(n). Let a = y + -10. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -13 + 1 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 258279271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3020 and 307436?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28167 and -5?\nAnswer: 140835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2024 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 4\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 375*p**3*r**3 - 18*p**2 + 8*p*r**3 - 4*r**3 wrt p.\nAnswer: 2250*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-74)\/(-3))\/2)\/((-15)\/(-360)). Let j = i - 75. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 3c3?\nAnswer: -3c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -9*j - 414. Let v be y(-45). Sort v, -3, -17 in descending order.\nAnswer: -3, v, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (31 + -29)\/(4\/2610) + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 15) in base 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*n**2*p + 10975*n**2 + 48*n + 609*p**2 wrt p.\nAnswer: -36*n**2 + 1218*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 3*x + 3*x)*(-52*x**2 + 4*x**2 - 12*x**2) + (4*x**2 + 9*x + 0*x**2 - 5*x**2)*(6*x - 3*x - 4*x).\nAnswer: 121*x**3 - 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44964*w**3 + 6*w**2 - 3*w - 2091 wrt w?\nAnswer: 269784*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 192*h**4*w + h**3*w**3 - h**2 + 3*h*w**3 + h*w**2 + w wrt h?\nAnswer: 2304*h**2*w + 6*h*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614 (base 11) to base 15.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i + 14 = -1 - 43 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/12)\/5*40\/(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110141.4302 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9651, -9309, -8747, -7971, -6987, -5801, -4419?\nAnswer: -2847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, f: 5, u: 4}. Give prob of picking 1 u, 1 e, and 2 f.\nAnswer: 16\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.074689 to 4 dps.\nAnswer: 0.0747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {d: 1, k: 4, r: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20013012110 (base 4) to base 11\nAnswer: 1222515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29703130*u**3 - u**2 + 21229*u + 155 wrt u?\nAnswer: -178218780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*q + 6786 = -1158*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1849 or 788?\nAnswer: 788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 33.7, 5, -3, 7, 2\/5 in increasing order.\nAnswer: -4, -3, 2\/5, 5, 7, 33.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 p when four letters picked without replacement from nkppnskkmnk?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4021*y + 5512*y = 2797*y - 109704 for y.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72648748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -24, -80, -172, -306?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2 = -4*f, f + 4 + 8 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 13. Let v(w) = -9*w - 5. Let g(o) = -2*s(o) - v(o). Let z(n) = 8*n - 21. What is 7*g(a) - 6*z(a)?\nAnswer: a - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3 = 2*f, -f - 5 = 4*f - 5*n. Suppose -3*r - 2*r + 85 = f. Calculate the remainder when r is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 11, 364.\nAnswer: 0, 3, 11, 364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 11:45 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**2 + 15*g + 3. Let i be w(7). Suppose -i = 2*p + 1646. Let h = p - -3357. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(-1*16\/192)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6502181, 13004367, 19506553, 26008739, 32510925?\n\"Answer: 6502186*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61481.\nAnswer: 7, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18383044 (base 9) to base 5.\nAnswer: 4333010414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0044 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = c, 3*s = c + 5 - 3. Suppose -3*m = -s*n + m + 44, -3*m = -4*n + 68. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.0543 + -0.0543. Which is the biggest value? (a) -2\/9 (b) r (c) 1\/116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0) + (1 - 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56*160\/(-3136))\/((-2)\/(-7))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 130566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty ninths of a hour?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s - 5*s + 4*s + (-4 + 3 - 1)*(4*s - 2*s - s) + 2*s + 4*s - 5*s - 842*s + 37396 - 37396.\nAnswer: -844*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 4*r - 2*r - 15*r + 16*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1917 to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -918328388868419\/9553623120 + 223006679\/2320. Let g = 10\/4717 + m. Let l = 1768\/9603 + g. Which is bigger: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3389 - -3385. Put 57, m, 14 in descending order.\nAnswer: 57, 14, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2 = 53. Let o be (1131\/406)\/((-4)\/24). Let w = d - o. Is -73 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635 is divided by 163?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16, -13, -10, -7?\n\"Answer: 3*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 65013374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 73*d**2 + 189*d - 423. What is p(-70)?\nAnswer: 1047","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -11 (c) 3105\/11 (d) -70 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ca8 (base 15) to base 6.\nAnswer: 112252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 56\/3*i - 4*i**2 + 20\/3 = 0.\nAnswer: -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39557521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1139.604ml?\nAnswer: 1.139604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5152646 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a244 (base 11) in base 7?\nAnswer: 326464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 16 - 8*u)*(5 - 5 - 2)*(-1 - 2*u + 1).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -1 - 4*x**2 + 4*x**2 + 4*x + x**2 + 0. Let p(q) = q + 2. What is 6*i(r) - 13*p(r)?\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -1123?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, p: 7, t: 2}. Give prob of sequence paap.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 15 = 0, -5*l + 50 = -5*h + 20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41.7 - -41.8. Let g = 26 + -50. Let r be (-2 + 0)*3\/g. What is the second smallest value in 0.5, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 21 = -9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -58805 divided by -11761?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnmqnnmm. What is prob of sequence mqnm?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19607185*z**3 - 29471046*z wrt z?\nAnswer: 117643110*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**4*s**2 - 2*k**4*s + 44*k**4*z - k**2*s**2*z + k**2*z - 2*k*s**2 wrt k.\nAnswer: 24*k*s**2 - 48*k*s + 1056*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 216833\/895016 - -5\/13162. What is the common denominator of 65\/34 and t?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41173043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3\/7 - 9276*f**2\/7 - 5373120*f\/7 + 5382400\/7 = 0. Calculate f.\nAnswer: -1160, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -373 at most as big as -2546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Let q = -9 - -129. Let k = -120.3 + q. What is the closest to r in 4, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 3051*q**5\/5 + 3343*q**3\/3 + 1250. What is the third derivative of j(x) wrt x?\nAnswer: 73224*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(12)\/(-3*sqrt(4)*1))**2.\nAnswer: 4*sqrt(3)\/3 + 13\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 1726.83?\nAnswer: -1726.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, y: 2, i: 4}. What is prob of sequence yhy?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -16*p + 63. Let a be i(6). Let l be 15\/35 - (a\/21 + 1). Suppose 2*z - 9 + 3 = 0. Sort z, l, 11 in increasing order.\nAnswer: l, z, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21708.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5944 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/3459652 and -1\/20.\nAnswer: 17298260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**6\/40 + f**5\/5 + 10*f**2. Factor c(r).\nAnswer: 3*r**2*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514078 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 98504939 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 11.01. Let x = -25.99 - p. Let z = x + 21. Is z < -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -5. Suppose 7 = v - 3*c, 3*v + c + 3*c + j = 0. Suppose 4*f - 7 + 27 = 0, f - 1 = -3*z. Which is greater: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89676, -2, -29, -5 in increasing order.\nAnswer: -89676, -29, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9b (base 15) to base 5\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5148.2 and -2.69.\nAnswer: -13848.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5*1\/(12\/(-198))*6\/63*-7\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -22*k + 4. Let m be w(-3). Let t be (-2 - (m + 3)) + -2. Let y = t + 108. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929005 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2716*f + 160*f + 33228 = 0 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1242563 and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/4 of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - -59?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-76) - 6\/24\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 - 31*c**2 + 30)*(c + 5 - 3 + c) in the form y + n*c**2 + h*c + v*c**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15\/8*r**2 + 3\/8*r**3 + 3*r + 3\/2 = 0. Calculate r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*u**2 + 11493 + 192*u**2 - 11493.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -0.2. Let p = -2217 + 2216. What is the closest to p in -2, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000169644 to 7 dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3869 (base 11) to base 3\nAnswer: -20220112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-1\/4)*w*w))**(-36)\/(w**11*w**(-1)\/w*w))**(15\/8) assuming w is positive.\nAnswer: w**(795\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n + 8. What is i(20)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -j + 4, -6*m + m = -6*j - 15. Sort -15, -1, -5, m in descending order.\nAnswer: -1, m, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(-38)\/1045*-22*2\/(-12). Factor -7\/3*z**2 + g*z**3 + 4\/3*z + 4\/3.\nAnswer: (z - 2)**2*(2*z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 187860*p**4 - 18*p**3 - 2*p**2 - 686568*p.\nAnswer: 4508640*p - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7286*w**3 + 3624*w**3 + 32*w + 3649*w**3 + 29*w - 62*w.\nAnswer: -13*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19881274.5 rounded to the nearest 1000?\nAnswer: -19881000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 + -59. Let f(q) = 14*q**2 + 9 + 3 + 35*q - k*q. Let v be f(-5). Calculate the highest common divisor of v and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1273 is divided by (-1*3)\/(6\/10*230\/(-1012)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -10*r**3 + 26*r**2 + 1330*r - 6386. Let z(s) = 2*s**3 - 5*s**2 - 266*s + 1277. Let i(c) = 3*u(c) + 16*z(c). Find f, given that i(f) = 0.\nAnswer: -13, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -24\/109, 0.2, 2\/9, -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*v - 12*v + 6, -3*r = v - 1108. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/24*(-26)\/260*105\/(-5).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 10*s + 290. Let p be z(-26). Let k be (1 - (-506)\/p) + (-44)\/(-330). Sort 2, 3, 5, k.\nAnswer: 2, 3, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 177.90072309 to 3 decimal places.\nAnswer: 177.901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 11. Let m be x(0). Let l = m + -34\/3. Let t be (-2)\/(-3)*(-12)\/16. What is the nearest to l in -0.4, t, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3984, 3981, 3990, 4017, 4068?\n\"Answer: q**3 - 10*q + 3993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -36838163.527 + -3\nAnswer: -36838166.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -834 - -375. Let m = c + 460.22. Round m to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -863 - -1784. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -77\/3, -16\/123, -0.9, 3\/4 in increasing order.\nAnswer: -77\/3, -0.9, -16\/123, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371912 is divided by 95.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 39 - 19 = 2*x, -2*v - 5*x - 49 = 0. Calculate the remainder when (-6)\/(-9) - 13\/(-3) is divided by (2\/(-4))\/(2\/v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*i = 2*i - 1, -3*v + 3*i = -3. Let b(w) = -w**3 - w**2 - 4. Give b(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91 + 8 + -43 - 60.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 161008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1624*y + 4857. What is c(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 12 = 38. Put w, 0, 3 in ascending order.\nAnswer: 0, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**7\/21 + 6*i**6\/5 - 25*i**5\/2 + 206*i**4\/3 - 208*i**3 + 320*i**2 + 1050*i. What is f in s(f) = 0?\nAnswer: 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from tatctatc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8043 and 774426?\nAnswer: 5420982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/3 and -7\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5521, -11034, -16519, -21964, -27357, -32686, -37939?\n\"Answer: 2*n**3 + 2*n**2 - 5533*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f = 27. Let i = f + -9. Solve i = -2*m + 1 + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 4, 0.04, -4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9*(-2)\/9*(-3346)\/(-4). Suppose -o = -20*b + 1687. Calculate the lowest common multiple of 70 and b.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/5)\/(1\/15). Let q(o) = 3*o**2 - o - 3. Let k be q(n). Suppose 19 = -5*a + k. Solve -u = 3*u + a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 3715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.08403033 and -44605.\nAnswer: -44599.91596967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + 6. Let d = 14 - 12. Let j(o) = o**2 - o + 4. Calculate the remainder when w is divided by j(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**7\/1050 + h**6\/600 - h**5\/150 - 6*h**2. Factor f(a).\nAnswer: a**2*(a - 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29340.5 + -29382.4897. Let f = w + 42. What is f rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46276924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**3 + 8*b + 12. Give j(-5).\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68820088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 - 4537 = 221*p for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 2:10 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194, -204, -220, -242, -270, -304, -344?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-26))\/(9\/12)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.043931 + 0.044. Round v to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 108825374\/3 and 36275125 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107316?\nAnswer: 2, 3, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26\/35253 - -6769070\/669807. Find m such that -l + 4\/19*m**2 - 64\/19*m + 2\/19*m**3 = 0.\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(2\/7)*w**(-9\/8) assuming w is positive.\nAnswer: w**(-23\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (5 + -3)) + (-1 - -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exxe when four letters picked without replacement from eeeeeexeeeeexeeeeee?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*m - 895, -7*m + 6*m - 179 = -j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a - 9 = 0, 4*l = -5*a - 27. Is 248 + (l - -4) + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9950431.92 to the nearest 1000.\nAnswer: -9950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 106\/10 - -2*2\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 90 - 469*a**4 + 92 - 182 - a**2 - 13*a in the form x*a**4 + i*a**3 + k*a + d*a**2 + j and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*-74\nAnswer: 2.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2637, 2636, 2635, 2634, 2633, 2632?\nAnswer: 2631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020906 rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**(3\/11)*c)\/c)**(3\/25)\/((c**(7\/6)\/c)\/c**(8\/5)) assuming c is positive.\nAnswer: c**(2617\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 0.2660527?\nAnswer: -3.2660527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 + 2*y**3 + 22*y - 30*y - 135 + 121 - y**3. What is u(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*p**3*z - 12*p**3 + 8*p**2 - p*z**4 - 2*z with respect to z.\nAnswer: -3*p**3 - 4*p*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjs when three letters picked without replacement from etjettqshjsje?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 429*l**2 + 162*l - 3. Let m be t(-5). What is the greatest common factor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-10 + -2) - 14\/(-4). What is the greatest common factor of j and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**7\/840 - h**4\/6 - 29*h**2\/2 - h + 3. Let w(d) be the third derivative of o(d). Let a(u) = 2*u**2. Determine a(w(g)).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*a**5 + 2005*a**4 + 9*a**3 + 113*a**2 - 2*a - 663?\nAnswer: 840*a**2 + 48120*a + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -13, -4, 960, 1\/2, 0?\nAnswer: 960","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + w - 78. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*(sqrt(121) - (sqrt(121) + (sqrt(121) - (sqrt(121)*1 - sqrt(121))) + sqrt(121))))\/(6*sqrt(44)\/sqrt(4) - sqrt(11)).\nAnswer: -6*sqrt(11)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -26\/3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - (4 + -1 + -1). Suppose 3*c + 26 = -l + 3*l, 0 = v*l + 2*c - 20. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 2)*(4 - 1 - 1) + 6 + 2 - 20)*(5 + 1 - 3)*(t - 1 + 5 - 2) + 1 - 1 - t + (3 + 3 - 4)*(-2*t - 4*t + 4*t).\nAnswer: -47*t - 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 64364.37 years in months?\nAnswer: 772372.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -1, 2\/2003, -2\/13 in decreasing order.\nAnswer: 5, 1, 2\/2003, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-3\/2))\/((((p*p\/p**(3\/4)*p)\/p)\/p)\/p))\/(p**(-4\/13)*p*p*p*(p\/((p\/(p*p**44))\/p))\/p) assuming p is positive.\nAnswer: p**(-2415\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1462 + 1907 - 4*l - 445.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (6\/4)\/(12\/3928)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*x + 2*x + 5*x + (4 - 3 - 3 + (2 + 1 - 5)*(-1 + 2 - 2) + (5 - 2 - 2)*(1 - 1 + 2))*(-x - 2*x - x).\nAnswer: -31*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 59 times 171657\nAnswer: 10127763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 123 = -0*u. Let f = -34 - u. Round f to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 585*q**3*u + 7005*q**3 + 2*q**2*u - q*u with respect to u.\nAnswer: 585*q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -794837 = 8*d - 2716989. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.105 and -42179.\nAnswer: 4428.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1482)\/51 - (100 + -129)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 120 = 6*n. Suppose 0*k + 3*k - 3*q = 180, n = 2*k + 2*q. Calculate the greatest common factor of k and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -22\/5 (b) -3\/8 (c) 8.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1941797 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3976730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 613\/(-20)) + -2. Let s be (242\/(-8))\/(-4 - -3). Let x = t - s. Is x not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17106 = -150*v - 156. Calculate the smallest common multiple of 2712 and v.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 8*r + 5. Let x(p) = -p**2 + 6*p + 468. Let f be x(-19). Determine z(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3633979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3937 + 924*d**2 + 3932 + 3935 - 11804 - 926*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/108 and 143\/3834.\nAnswer: 7668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 905.9 (b) 4\/15 (c) 1 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1727338057 + -0.21.\nAnswer: 1727338056.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 7 + (4 - 14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 32. Factor -m - 30*m**x + 2 - 6*m**2 + 2*m**3 + 33*m**4 - m**5 + 1.\nAnswer: -(m - 3)*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -52271, -104543, -156815?\n\"Answer: -52272*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12917, 12930, 12943, 12956, 12969?\nAnswer: 12982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13.23 + -675\nAnswer: -688.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 12263?\nAnswer: -12256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 207204573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 120*g**3*t**3 + 3*g**3 + 29*g**2 + 6*t**3 wrt g?\nAnswer: 720*t**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from {c: 3, k: 6, h: 1, g: 2, t: 6}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -153587?\nAnswer: 153590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c - 2. Let r(p) = -184*p - 165*p + 353*p. What is h(r(v))?\nAnswer: -12*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -3, 10, 39, 90, 169, 282, 435?\nAnswer: 634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001853 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33313 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 2*v**2 + 2*v)*(1 - 1 + v)*(0 - 5 + 2).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1099216443 divided by 366405481?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 5417*y.\nAnswer: -y*(y - 5417)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 632 and 5214.\nAnswer: 20856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/1072062 and 67\/83382600.\nAnswer: 750443400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -16679?\nAnswer: -16679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 6. Let i be s(-6). Let r be 0 + -5 + 2 + i. Is -1 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 s, and 1 p when three letters picked without replacement from {p: 2, v: 1, s: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.123 + 1.0282. Round g to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 244 + 486 - 241 to the form g*z + j and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 81.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 6:15 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613*x**2 - 761*x**2 - 473*x**2.\nAnswer: -1847*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 297.075 less than 0.2?\nAnswer: -296.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/1125111 and 47?\nAnswer: 1125111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -7. Suppose -2*y - 3*p + 7 = -y, -73 = -3*y + d*p. What is the greatest common divisor of 19 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + -1. Let f = -115 - -119. Calculate the remainder when f\/18 - 176\/s is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5335741*d**3 + 3*d**2 + 25650570*d.\nAnswer: -32014446*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340052 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2842 - -6067. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-7) - 192\/(-84). Let a(j) = -j**2 + j + 3. Let k be a(3). Sort 4, g, 8, k.\nAnswer: k, g, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61c609 (base 15) to base 10.\nAnswer: 4648734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16578, -16063, -15560, -15075, -14614, -14183?\nAnswer: -13788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 2108, 136 in ascending order.\nAnswer: -4, -1, 136, 2108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, e: 1, j: 1, z: 3, b: 6}. What is prob of picking 1 j, 1 l, and 1 z?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h. Let a(v) = 2*v + 737. What is -a(f) - 2*u(f)?\nAnswer: -4*f - 737","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -134526, -134500, -134472, -134442, -134410, -134376, -134340?\n\"Answer: m**2 + 23*m - 134550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 9 = -4*i, 2*i + 8 = 505*f - 507*f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 53343942, 53343952, 53343966, 53343984, 53344006, 53344032, 53344062?\n\"Answer: 2*l**2 + 4*l + 53343936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -81, -162, -287, -468?\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 19465292?\nAnswer: 19465292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/5)\/b)**37 assuming b is positive.\nAnswer: b**(-222\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {z: 4, b: 1, f: 1, q: 3, w: 4, v: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.8 * -0.472.\nAnswer: -2.7376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -79, -197, -373, -613, -923, -1309, -1777?\nAnswer: -2333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-161)\/46)\/((-9)\/18).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.059 - 0.182. Let f = -4.877 + k. Which is the third smallest value? (a) 5 (b) -4 (c) -23 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2911, 46, -4, -2.\nAnswer: -2911, -4, -2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.27858515 - -1.52053445. Let z = p - 1.297481. Let d = z + 0.0555. What is d rounded to six dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1891 and -0.4.\nAnswer: -756.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 25*b**4 + 2*b**3 + 8*b**2 - 22. Let d(s) = 50*s**4 + 4*s**3 + 17*s**2 - 44. Let c(p) = 2*d(p) - 5*m(p). What is the third derivative of c(v) wrt v?\nAnswer: -600*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = 2*g - 81 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 - (1 + -17) - (199 + -203)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**5 - h**4 + h**3 - h**2 + 1. Let a(w) = -679*w**5 - 881*w**4 + 449*w**3 + 871*w**2 + 224*w + 13. Let f(b) = -a(b) - 3*q(b). Solve f(x) = 0 for x.\nAnswer: -1, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.128051mm in meters?\nAnswer: 0.004128051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**2\/2 + 2. Let n(p) be the second derivative of 7\/12*p**4 + 0 - 15*p + 0*p**2 + 0*p**3. What is a(n(s))?\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 921.7238 weeks in milliseconds?\nAnswer: 557458554240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 12. Let w be (20 - 4)\/4 + -2. Suppose -w*j + 45 = j. What is the remainder when j is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 3*w + 2*m = 2, 2*m + 5 + 5 = -0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 7*c**2 - c + 3. Let d be p(-5). Suppose 5*t + d - 248 = 0. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p = -5*p - 4*n + 25, 0 = 5*p + 3*n + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**3 + 5 + 5*y + 4*y + 3 - 7 + 14*y**3 as t*y + b*y**3 + v + g*y**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2. Let o(r) = -6*r + 3. Let g(s) = -17*s + 8. Let u(n) = -3*g(n) + 8*o(n). Give u(x(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 65?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/749460 and 71\/96.\nAnswer: 5995680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/12*3\/(-2). Let p be (-282)\/(-54) + q\/18. What is the second derivative of 23*y**5 - 5*y**p - 14*y**5 + y wrt y?\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than -70734202\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -138266228*t**2 + 17305216 wrt t.\nAnswer: -276532456*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**5\/20 - 7*t**4\/12 + 8*t**3\/3 - 11*t**2\/2 - 2*t. Is s(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4639088 is divided by 375?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 365022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3099953, 3099957, 3099961, 3099965, 3099969, 3099973?\n\"Answer: 4*u + 3099949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4364003 (base 7) to base 3.\nAnswer: 1000021100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - -129 - (1 + 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1289\/35 - 182\/5. Let f = 0.3 + -0.3. Which is bigger: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 9*s = 5*m - 162, -s + 18 = -2*s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**3 - 802*i**2 - 479*i - 16518. Calculate f(-200).\nAnswer: -718","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*h + 19*h - 2 + 6*h)*(0 - 5 + 1) + 0 - 9*h + 0.\nAnswer: -57*h + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30.1*12527.\nAnswer: -377062.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4583161008 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: What is (16133\/(-44863) - 6\/14*-1) + 0?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112165826*j**3 + 234613180*j wrt j?\nAnswer: 672994956*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 966*k - 1006*k + 9280 = 0. What is the remainder when k is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -11*g + 82. Let q be c(7). Suppose 3 = 3*x - 5*w, -5*x - 3*w + 2 = -3. Suppose 0*o + 6 = -3*o. Put x, o, q in descending order.\nAnswer: q, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/(-152)*(-68)\/187)\/(-1)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 343 + 353 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a decade in years?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 4*d**2 + d + 1. Calculate n(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 7. Let q(o) = -14 - 4 + 31 + 7 + 62*o. Is 21 a factor of q(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/4272 and -65\/1869.\nAnswer: 29904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2666? (a) -1\/18 (b) 5 (c) -0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.90344 centuries in months?\nAnswer: 2284.128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*b**2 + 34 + 249*b**2 - 34.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 2*v**2 + v + 1. Calculate the remainder when 41 is divided by d(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*k + 112 = 52*k - 30*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*v + 159 = -77 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqaooaaoptqaa. Give prob of picking 1 o and 1 a.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -11 - (-8 - -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x + 4 = 0. Let k = x - 0. Suppose 5*i + k = 47. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z*z**(-2))\/z*z)**42)**(-48)\/(z**(4\/7)*z*z*z**(-4\/5))**(-2) assuming z is positive.\nAnswer: z**(-70436\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 3*m**5\/2 - 7*m**3\/6 + 561*m**2 - 168*m - 1. Differentiate r(j) with respect to j.\nAnswer: 90*j**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**5 + 43*d**4 - 5*d**3 - 6258*d**2 wrt d?\nAnswer: -60*d**2 + 1032*d - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2. Let h be n(-1). Suppose 0 = -f - h*x + 18, f = 3*f + 4*x - 20. Differentiate -1 + 0 + 3 + q**f with respect to q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171181 times 1?\nAnswer: -171181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6*h. Let l(d) be the first derivative of -19 - 624*d - 2*d**2 + 624*d. Give l(q(s)).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Let q = 89.9 - 90. Let u = 2.5 - 2.3. What is the nearest to m in -1, q, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n + 17*n = 4*v - 37 - 5, -5*n = 11*v - 96 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(1\/11))\/(k**(-3\/7)*k*k))**(3\/2) assuming k is positive.\nAnswer: k**(-153\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 2*r - 4*r + (-3*r - 2*r + 4*r)*(-1 - 2 + 1) - 1 + 1 - r)*((-2 + 1 - 3)*(1 + 0 - 4) + 1 - 1 - 2).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2786.4 - -2786. Let r = -0.1 - -0.3. Let q = 0.2 - r. Which is the smallest value? (a) g (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 (base 9) in base 4?\nAnswer: 2033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 7*y + 5. Let q(l) = -l**2 + 6*l - 4. Let r(o) = -5*q(o) - 4*v(o). Let t be r(3). Let j be t\/18 + 175\/(-6). Which is smaller: j or -28?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 7*u**2 + 5*u - 5. Let y be a(-6). Let r = 0.3 - 0.1. Let n = 65\/2 - 33. What is the nearest to y in n, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220690 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12324 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/2)\/((-15)\/20). Sort u, 1, 4 in decreasing order.\nAnswer: 4, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 2*r**2 - 3. Let w be d(-2). Let c = w + -97. What is the common denominator of -67\/6 and ((-666)\/c)\/((-72)\/(-60))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1003 + -966. Suppose 0 = 20*d - i*d + 2652. Does 39 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 292\/299 + -26\/23. Which is the nearest to -2? (a) -5 (b) -4 (c) 5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - u = 3, -3*u = -2*k + 26 - 21 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-300)\/(-21) - (-8)\/(-28) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 200\/9 + -22. Let u = -27320 + 27318. What is the closest to -0.09 in 5, u, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (48\/(-18))\/(1\/(-117)). What is the highest common factor of 104 and m?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 938*n - 1783. Give p(2).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-11 + 7 + -6)) + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*p**2 + p - 3*p**2 + 2 + 0*p**2)*(-19 - 11 + 9) to h*p**2 + g*p + z and give z.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6572 - 6712 = -7*b. Let j = 207 - 141. Calculate the lowest common multiple of j and b.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 485838341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a gram in milligrams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 3 - 98 - 198 = 0 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -125670 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36790577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z + 65. Give v(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 129 = 126 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 1\/2*q**2 - q - q**3 + 1\/4*q**4 + 1. What is the units digit of k(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -560374 by 17.\nAnswer: -560374\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + t - 20, 0 = -4*s + 6*s + t - 12. Factor -2*p**3 - 2*p**2 + 3*p**4 + 6*p**2 - 4*p**s - 5*p**2.\nAnswer: -p**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 481865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1933 + 0.6933. Which is the nearest to 2? (a) s (b) 1\/3 (c) -67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z - z - 2*z)*(0 + 0 - 2*z**2) - z**3 - 2 + 2.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -22, -30, 4, -2 in increasing order.\nAnswer: -30, -22, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7042 = -y - 1082. What are the prime factors of y?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26 + -3)*(-1)\/(-1). Suppose -m + 4*s = 7, m + 153*s - 20 = 148*s. Solve -5*o = -c + f, m*c - 11 = -5*o + 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106.3 < -1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 3*y + 6 = 0, 12*o + 5*y - 423 = -495 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13, -17, -21, -25, -29?\n\"Answer: -4*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/696768 and -39\/2658784.\nAnswer: 3046966464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgll when four letters picked without replacement from {l: 2, h: 2, k: 2, p: 4, g: 2, v: 2}?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1893 divide 56986872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 + y**2 + 31*y - 13 + 0 - 7.\nAnswer: (y - 1)*(y + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g**3 + 66*g**3 - 17*g**3 - 22*g**3.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**2 + 7*r. Let b(c) = 2*c**2 - 3*c. Let w(p) = 7*b(p) + 3*h(p). Let t(o) = -23*o. Calculate t(w(v)).\nAnswer: 23*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 3:00 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -371193 divided by -11\nAnswer: 371193\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -588 divided by -14?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*y - 0*y + 25354, -2*y + 5*s + 16901 = 0. Suppose -4*k - 4*j + y = -k, 5*k = 2*j + 14045. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 965520466.322.\nAnswer: 965520469.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8241)\/4 - (-2 + (-7)\/(-4)). Round m to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 4951461 + 1006755. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 16. Suppose 4 = -3*g + 4*g. Calculate the highest common divisor of g and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*a**2 - a + 6*a**2 + a.\nAnswer: 214*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2386 = d + 4*b + 2392, -5*b = 4*d + 13. Sort d, 55, 9 in increasing order.\nAnswer: d, 9, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/145011 and 29\/3.\nAnswer: 145011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*w + 0*w - 216 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2147*a**3*f*u + 3*a**3*u + 6*a**2*u - 910*a*f*u - f wrt a?\nAnswer: 12882*f*u + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*y - 1\/2*y**4 + 1\/2*y**5 + y**2 - y**3 - 1\/2.\nAnswer: (y - 1)**3*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((14560\/(-60))\/(-28) + -11)*207\/(-105).\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 - 8*i**2 - 4*i**2 + i**2. Let o(c) = 4*c. Determine q(o(x)).\nAnswer: -96*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*q - 3, -10 = 4*l + 2*q. Let m(i) = -2*i**2 - 5*i - 2. Let w be m(l). Which is the smallest value? (a) 4 (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 11 + 61. Let r be 1\/(-2) - 0 - (-189)\/n. Solve -f + 24 = 5*h, 2*h - r = -f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.298 (b) 3\/5 (c) 1\/19 (d) -0.1 (e) -2 (f) 6\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -31207 and 51885093173?\nAnswer: 51885124380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**2 - 6. Let v(i) = 5*i**2 + 7. Suppose 2*h - 2 = h + 3*t, 3*h = -3*t - 18. What is h*v(y) - 5*z(y)?\nAnswer: 5*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -12*t + 140. Suppose n = -p - 2*n + 10, -4*n + t = 5*p. Solve p*o + 15 = 7*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 0)*(-j - 3*j + 7*j)*(-6*j - 4*j - 6*j) to the form c + k*j**2 + q*j and give k.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-30))\/(36\/(-20)). What is the third smallest value in -1\/6, -9, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 8*y - 21. Let i(b) = -2*b**2 - b + 2. Calculate -i(o) + z(o).\nAnswer: o**2 - 7*o - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-34) - (-11 - (-18)\/(-102)*-63).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27c0 + -1?\nAnswer: -27c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 11*n + 24. Let m(b) = 2*b. Determine -5*m(r) - y(r).\nAnswer: -2*r**2 + r - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(14\/(-8)) - -5. Solve i = -a + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*i - 5*i + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1260) - -4*sqrt(1260))\/((sqrt(30)\/sqrt(2) + sqrt(15))\/sqrt(3)).\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/165*229428\/16. Let d = s - -1914. Which is bigger: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -k + 19, 5*m - 2*k - 3*k = -45. Let n be (-122)\/(-5) + 57\/95. Put m, n, -3 in descending order.\nAnswer: n, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6*j = -10. Find the second derivative of -12*h - 60*h**2 + 60*h**j + 12*h**3 wrt h.\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 8. Suppose 47002 = l*x - 2*u, x = u + 4540 + 4861. What is x rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9202\/5 - -202949\/110. Suppose -2*s + w = -7*s + 24, -5*s + 3*w = -8. Calculate the common denominator of (-2)\/s + (-36)\/16 and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2687 or -2686?\nAnswer: -2686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 945?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -714.7 - -714.5. Which is the nearest to -0.1? (a) 1\/3 (b) -2 (c) -8 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.407090945 and 3.\nAnswer: -1.221272835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 0*o**3 - 3\/2*o**2 + 4*o + 1\/16*o**4 + 127. Factor j(u).\nAnswer: (u - 2)**2*(u + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 15*t + 166. What is the lowest common multiple of 132 and r(17)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 5271, -0.15 in descending order.\nAnswer: 5271, 1\/4, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 204.48\nAnswer: 1635.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136502058 divided by 6.\nAnswer: -22750343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1344905 and 51507?\nAnswer: 12104145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 8 - (1 - 11 - -8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/528653011 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10252 (base 9) in base 8?\nAnswer: 15162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312012726, -312012729, -312012732, -312012735, -312012738?\nAnswer: -312012741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 6*u**2 - 6*u - 1. Let g be ((-70)\/56)\/(-1 - 10\/(-8)). What is the remainder when 7 is divided by q(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 greater than or equal to 2494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 670525633 not equal to 670525632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-5)\/5*5\/(320\/8)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6426 and 1275765?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*b = 274. Let h be 4\/(-18) - (-4708)\/(-36). Let g = h - b. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - -21?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/234*143\/(-77)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**4 + 2*z**3 - 3*z**2 + z + 1. Let d(s) = -36*s**4 - 14*s**3 + 20*s**2 - 8*s - 6. Let w(x) = 6*d(x) + 44*y(x). Factor w(u).\nAnswer: 4*(u - 1)**2*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.073 (c) -24 (d) 0 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2))\/((-3)\/(-12)). Suppose 2*o - 158 = -42. Suppose -g = -5*x - o + 302, -3*x - 4*g + 128 = 0. Calculate the highest common factor of x and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 20 = 3*z + 2*z, i = 4*z - 16. Let h(a) = 9*a + z*a**2 + 9 - 3*a - 2*a. Calculate the least common multiple of h(-3) and 4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9.02 (b) 6\/11 (c) 86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-171)\/266)\/(1 - 16)*4\/(-6). Which is the second biggest value? (a) -0.1 (b) -1.68 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -292450 rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 10*r - 15. What is the remainder when 10*(-8 - (-484)\/20) is divided by i(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**3 - h**3 - 2*h**3)*(1 + 1 + 0) + 2*h**3 - 8*h**3 - 2*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -10845 and -10845 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -1 - 24*z + 7*z - 2*z**2 + 11*z + 9*z. Let x be p(2). List the prime factors of x*((-6)\/9 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t**2 - 1. Let p be h(-1). Suppose 5*c + 297 = 2*s, 5 = p*c - 20. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 - 2*k - 3*k**2 - 1 - 2*k + k**3 to x*k + r*k**3 + f*k**2 + o and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 0.01, 0.1, -3\/5 in descending order.\nAnswer: 0.1, 0.01, -3\/5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d**5 + 4156*d**4 + 1056*d**3 - 4156*d**2 - 1040*d = 0. Calculate d.\nAnswer: -1, -1\/4, 0, 1, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 590 + -590.05199. Round i to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1618*n**6 - 2*n**2 + 128 wrt n.\nAnswer: 194160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1680527 - 6?\nAnswer: -1680534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l = 64*l + 87 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**6\/300 + 14*r**5\/75 + 13*r**4\/4 - 1629*r**2. Factor t(m).\nAnswer: 2*m*(m + 13)*(m + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -404728.\nAnswer: 3237824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 z when two letters picked without replacement from lzjppppjz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388292 - 53837*d**2 + 388292.\nAnswer: -53837*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3358 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53\/10459 or 1?\nAnswer: -53\/10459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2176+153116\nAnswer: 150940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**2 - 4*q**2 + 3*q**2)*(752087*q + 433 + 4*q**2 - 752087*q) as i*q**2 + j + x*q**4 + o*q**3 + y*q and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, n: 1, h: 1}. Give prob of sequence znh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + 1 + -2 + sqrt(63) - (sqrt(252)\/sqrt(4)*6 + sqrt(63))) + -3*sqrt(189)\/sqrt(3) + 1 + sqrt(315)\/sqrt(5).\nAnswer: -21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.4 + -0.4. Let p = -3 + k. Let h be (-7 - 0 - -3)*(141\/(-36) + 4). Which is the second smallest value? (a) h (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2 + 5 = 2*l, -5*p - 3 = l. Suppose 3*w - 10806 = l*x, -5398 = x - 0*x + w. What is x rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669922 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799934 is divided by 4301.\nAnswer: 4249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -32100003210 (base 4) in base 3?\nAnswer: -21000210112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 4:13 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3+3956548\nAnswer: 3956551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6172 - 4137 = 3841*d - 9488 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -552, -728, -918, -1128, -1364, -1632, -1938?\n\"Answer: -p**3 - p**2 - 166*p - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 1419 = -4*y + 13*l, 0 = 5*y - 5*l - 1800. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**4*y)\/(y\/(y**(3\/4)*y)))\/(y**0)**(-29)*(y*y\/((y\/y**(-2\/23))\/y)*y**0)\/(y**(-2\/3))**(-34) assuming y is positive.\nAnswer: y**(-3865\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5789600 and 640.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.35340813 to 3 dps.\nAnswer: -0.353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*q**3 - 115*q**2 - 310*q + 360.\nAnswer: 5*(q - 1)*(q + 2)*(13*q - 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 431 = 4*o - 2*o, 2*o - 5*z = 471. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 2*i - 3*i + (2 + 11 - 2)*(-13*i - 7 + 7) + 7 - 2*i - 7 - 1 + 1 + i + i - 2*i + 0*i + (2*i + 2*i - 3*i)*(-4 + 4 + 2).\nAnswer: -145*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2429607.\nAnswer: 3, 809869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 54*c - 231. Give t(58).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.1181 (b) 3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3568471867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6548 and 691314922.\nAnswer: 3274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1921 is divided by (7\/9 - (-6)\/(-54))*39.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -7*x + 9. Suppose 0*t - x*t = -12. Suppose -3*b = 3*i - 7*b - 7, t*i + 2*b = 46. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(672\/180)\/(-28).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 536*q + 12572. What is r(-24)?\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**3 + 8*u**2 - 14*u - 20 = 0?\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 4*n - 8*n + 0*n = 2*j - 16, -2*j - 5*n = -25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 557514195 or -1?\nAnswer: 557514195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48353 and -4.\nAnswer: -193412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 579 minutes after 5:41 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 8. Let u(g) = -3*g**2 + 2*g + 3. Let k(a) = -a**2 + a + 1. Let z(h) = 1234*h + 1223. Let b be z(-1). Determine b*k(y) + j*u(y).\nAnswer: -y**2 - 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 1 = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36167785 is divided by 6027962.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 5 - 5*y**2 - 3 + 2. Let b(z) = z**3 + 3*z**2 + 5*z + 10. Let q be b(-3). What is the units digit of r(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*a**3)*(2*a + 4*a + a) - 7*a**4 - 8*a**4 + 10*a**4 - 2*a**4 + 2*a**3 - 2*a**3.\nAnswer: -28*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 - -80. Let v(q) = q - 6. Let m be v(-9). Let t be 18\/(-30) - 19\/m. What is the closest to 3 in t, k, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are -398463\/7 and -56923 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2257940866 to the power of 1\/3, to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 2:46 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + z + 3, z + z = 3*u - 4. Let s = 20 + u. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - 0.2. Let l = -1.3 - -2.3. Let p be 3 + -2 + (-6)\/(-3). Which is the nearest to l? (a) r (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 1. Let a = -3 + -1. Let u(s) = -14*s - 14. Let y(d) = 16*d + 18. Let v(p) = 5*u(p) + 4*y(p). Let r be (-1 - (-4)\/2)*-1. Give a*z(n) + r*v(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290 >= 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003899 to 6 decimal places.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, -1, -9, -4, 3.\nAnswer: -9, -4, -1, 3, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96376 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4265, 0, 4, -7, 5 in decreasing order.\nAnswer: 5, 4, 0, -7, -4265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -12. Suppose -w = 5*p - 22. Suppose 29 - 2 = p*d. Solve -3*a - y = -d, 5*a + 2*y - 10 = 3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**6\/300 + u**5\/50 + 3*u**4\/20 + u**3\/3 - 6*u**2 - 26*u + 5. Find w, given that m(w) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760166614 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 177919939 and 11137?\nAnswer: 1591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1.1. Let k be (4\/6)\/((-10)\/15). Let z be 2\/k*2\/(-6). Put u, 0.1, z in decreasing order.\nAnswer: z, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7199*s + 2401*s + 2396*s + 2402*s - 9722*s**3)*(-s**2 + s - s).\nAnswer: 9722*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**6\/5 - 79*i**5\/50 - 8*i**4\/15 + 4*i**3\/3 - 39*i. Let w(c) = 0. Calculate c.\nAnswer: -5, -2\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2. Let a(b) = -7*b - 5. Let i(s) = 4*s + 3. Let h(p) = 6*a(p) + 10*i(p). Determine h(u(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c**(-2)*c)*(c\/(((c*(c\/(c*c**(-2\/11)))\/c)\/c)\/c*c))\/c*c\/(c\/(c\/c**(-12\/5)))*c\/c**(-20) assuming c is positive.\nAnswer: c**(1442\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 + -635 - (0 - -30)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -q + 1504, 22*q - 4488 = -3*j + 27*q. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + 155. Suppose c = 4*s + 34, 0 = 5*c - 0*c - 3*s - w. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 9:14 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.95 - 24. Which is the biggest value? (a) 0.5 (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 16, 7, 4, 2, -10 in descending order.\nAnswer: 16, 7, 4, 2, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 10 - 3. Let o = 20 - 4. Calculate the least common multiple of d and o.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/((-2842)\/280))\/(103\/721)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11395797 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 + 187. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07853 and -0.847.\nAnswer: 0.06651491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 23090\/315 - 4\/9. Let i = a - 2382\/35. Which is smaller: 5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) -0.5 (c) -0.2 (d) 1\/3 (e) -113\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 3*p**2 - 3*p + 5. Let z be t(-4). Let h be (-120)\/66 - (-1 - z). Let o = -8 + 7. Which is smaller: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1586\/130 - (6 - -6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x + 77 = 32 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**6\/60 + 5*n**3\/6 - 21*n**2. What is the first derivative of y(r) wrt r?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 10 + 6 = 0. Let o(n) = 4999999*n - 2. Let v be o(a). Round v to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 11:00 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-25) + 63\/(-30). Which is the fourth biggest value? (a) -3 (b) j (c) -0.5 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - ((-2)\/(-2) + -7). Suppose 2*n = 2*v + n - 9, -5*v + 30 = 5*n. Suppose 0*r - 5*r + 60 = 0. Solve -12 = q - v*h, 0*q - j*q + r = h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5150 - -5366. Solve -7*x = -43*x - b for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**3 + 0*r**3 - 10*r**2 + 41*r - 271*r**4 + 145*r**4 + 128*r**4 in the form d*r + v + l*r**4 + j*r**3 + o*r**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 56*r - 7831. Give x(121).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2698261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r + 3100. Let c(k) = -k**2. What is c(x(p))?\nAnswer: -16*p**2 + 24800*p - 9610000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.7, -0.5, 1\/2, 3\/26, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2242*f**2 + 21 - 66 + 12 + 14 + 16 as j + b*f + h*f**2 and give h.\nAnswer: -2242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 73, 6, -9 in decreasing order.\nAnswer: 73, 6, 3, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/1018?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 771888395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-113)\/(-51) - (-2 - (-80)\/24)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1848579?\nAnswer: 3, 23, 73, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 809 + -811. Put 2\/7, w, 1\/6, 2 in descending order.\nAnswer: 2, 2\/7, 1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kppppkkpppk. What is prob of sequence pppp?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f - 26 = -986. Which is the third biggest value? (a) 0.4 (b) f (c) -2\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1449 and 134337?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**3 - 6*o**3 + 3*o**3 + (8*o**2 - 3*o**2 + 0*o**2)*(2*o - 3*o + 2*o) + o**3 - 4*o**3 + o**3 + (2*o**2 - 2*o**2 - o**2)*(3*o + 0*o + 0*o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cww when three letters picked without replacement from {w: 2, c: 10, g: 3}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 5\/2, -1\/339 in decreasing order.\nAnswer: 5\/2, -1\/339, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1\/4 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -705 = 3*z - 846. Suppose -5*s - 4*h + z = -55, 3*s - 72 = 3*h. Is 24 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 10*w**2 + 9*w - 4. What is v(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Suppose y*q = -q. Let a be ((-12)\/10)\/((-2)\/5). Solve -3*n + 0*n + a = q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, z: 9}. What is prob of picking 3 z and 1 s?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2 - 13 - 15 = 4*x - 13 + 7, -2*g - 24 = 4*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6001.6 and 0.\nAnswer: -6001.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n. Suppose 9*m - 136 = 5*m. Let g(s) = -m + 34 - 18*s**2. Give g(j(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 141615 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.25? (a) -31 (b) 0.2 (c) -7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 + -2)*2\/3. Suppose 0 = -i*r + 12, 2*t - 8 = t - 2*r. Suppose 0 = -114*o + 127*o - 26. Solve 12 = -t*g + o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502\/65 not equal to -707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - -1)*204\/40. Is 26 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 13*t = -9*t + 22, o - t - 2 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8*d - 23. Let w be c(-6). Does 9 divide (-70)\/4*(3 + (-135)\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v**3 + 4*v**2 - 2*v + 2. Determine t(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57287 is divided by 2484?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, f: 3, r: 8, n: 2}. What is prob of picking 1 i and 1 n?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2*m - 2*m)*(-4*m + 2*m + 0*m) + 3*m**2 - 5*m**2 + 0*m**2 + (-m + 2*m - 2*m)*(-m + 0 + 0).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + m + 12. Let b = -11026 + 11038. Calculate the least common multiple of b and i(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(28)\/sqrt(4)))**2*-6.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3660235 to the power of 1\/2, to the nearest integer?\nAnswer: 1913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6198, 5, 2, -24, -5, -2.1 in decreasing order.\nAnswer: 6198, 5, 2, -2.1, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49 - 9 + 10*s - 31 to the form o + u*s and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9775 + 11871. What is the highest common divisor of 131 and l?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 26. Let s be u(-11). Suppose 2*d = -2*d + 4*r + 20, -2*r + s = 3*d. Solve -5*z - 6 = -4*l - 3, d*z + 3*l - 11 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 5*g - 3*g + (-2 - 1 + 7)*(-3 - 3*g + 3))*(1 - g - 3 + 2*g + 4*g**2) to the form s*g + m + i*g**3 + d*g**2 and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f - 12. Let n be o(-4). Solve 0 = -m + 5*k - 16, -2*m - n = -6*k + 2*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -2 (b) 2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from wrhpreprepwrrwhoeh?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**2 + 2*s**3 - 2*s**2)*(-693 + 693 - 473*s) as j*s**4 + c + o*s**2 + b*s**3 + k*s and give j.\nAnswer: -946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 814840 (base 11) in base 6?\nAnswer: 44021545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.18 + 0.12. Let g = -0.228 + -120.772. Let r = -124 - g. Which is the nearest to r? (a) 2\/7 (b) w (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - n + 2*n)*(-79*n - 47*n - 76*n + 11*n).\nAnswer: -573*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8 = 2*n, -h = 3*h - n - 12. Put h, -4, 1 in decreasing order.\nAnswer: h, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*z = 14 + 135, 3*z = 2*m + 109. Let c = 149 + m. Suppose -b + 5*f + c = 0, -2*f + 87 = b + 3*f. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/(-5) - 6\/(-15). Suppose -w*t = t - 60. Solve -3*y - t = -h, -5*h = y - 2*y - 19 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8897 + -8898. Put y, 4, 2342, -5 in increasing order.\nAnswer: -5, y, 4, 2342","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 0.2 (c) 295.7 (d) -4\/5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12530 - -12536. Solve 2*i + 3*u - 7 = 0, 2*u - 14 = -m*i + 7*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntnctcccene. What is prob of sequence tnec?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 389 = -1229. Let y be (-988)\/d + (-2)\/20. Which is bigger: 4 or y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 4*t**2 + t - 3. What is a(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750719 is divided by 750643?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (62 - 1) - (-369 + 349 - (-14 + 3)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b2c - -8912?\nAnswer: 7ab3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -57, -83, -127, -189, -269, -367, -483?\n\"Answer: -9*w**2 + w - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 3 - (-1 + 1)\/2. Suppose u = -72*r + 74*r - 530. What are the prime factors of r?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 558 divide 6270526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.114 (b) -2 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*1*-6 + 1 - (-3 + 0 + -1 + sqrt(162)))**2.\nAnswer: -630*sqrt(2) + 7963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -7\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + k**3 - k + k)*(-7*k + 2*k + 3*k + (1 - 2 + 3)*(1 - 1 + 2*k) + 3 + 5 - 1 + 3*k).\nAnswer: 5*k**4 + 7*k**3 + 5*k**2 + 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(2 - 4 + 1)*(2*i + 5*i - 5*i + (i + i + 0*i)*(0 + 9 - 4) + 2 + i - 2).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -7*v - 14. Give f(-27).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 5:59 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**6\/360 + d**5\/10 + d**4\/6 - d**3\/2 + d. Let o(p) be the second derivative of b(p). Is o(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u - 29. Let c be h(3). Let f be 110\/c*(-14)\/5. Solve -f*s + 4 = 25 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8 - 2)*((-3 - 1 + 3)*(1 - 1 + 1) - 6 + 2 + 0 + 1 + 1 - 3)*(-1 + 1 + 3*x)*(-5 + 3 + 0).\nAnswer: 252*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57391, -1764, 3.\nAnswer: -57391, -1764, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -144 + 724\/5. Let o(j) = -j**3 + 49*j**2 + 50*j - 12. Let q be o(50). Let n be q\/3 - 350\/(-80). What is the third biggest value in i, n, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0, -44, -9.5, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 16862 = o - 8563, -2*o = f - 50851. What is the third derivative of -25549*h**2 + o*h**2 - h**3 - 8*h**4 - 10*h**4 wrt h?\nAnswer: -432*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7889954km to millimeters.\nAnswer: 788995.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -658*a + 248712. Calculate k(378).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5716)\/(-10) - 5\/((-50)\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -12*n**3 - n**2 + 47*n - 49. What is t(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + 47*a - 25*a + 6*a**4 - 18*a + 3*a**4 to the form i + h*a**4 + r*a**3 + d*a + w*a**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 2*o - 25, 2*b + 5*o - 469 = -430 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11599 - -5158. Let b = 6444.2967 + a. Let o = b - 3.33. What is o rounded to three dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4083 - -4085. Solve 4*f + 5*t + 9 = 8, -3*f = 5*t + j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/169 + 63\/(-182). Let z(h) = -h**2 - 8*h - 5. Let j be z(-7). Sort i, -2, -2\/7, j in descending order.\nAnswer: j, -2\/7, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -99, -170, -257, -366, -503, -674, -885?\nAnswer: -1142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 12:37 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12741*l + 4*x - 69 = 12737*l + 107, -3*x + 136 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*f + 179*f = -9 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5139 - 12549 + 4192)*(-4*c + c + 2*c).\nAnswer: 3218*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 4431.\nAnswer: -22155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t + 1. Let f(w) be the second derivative of 5*w**3\/3 + 11*w**2\/2 + 3*w. Let v(n) = -5*n - 5. Let j(s) = 4*f(s) + 9*v(s). Calculate 4*j(b) + 3*p(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114 + -81. What is the remainder when h is divided by (2\/4)\/(8\/192)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*j - 114*j + 8387 - 947 = 85*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -1\/30*f**5 + 0 + 19\/9*f**3 + 10\/3*f**2 + 4\/9*f**4 - 70*f. Factor d(t).\nAnswer: -2*(t - 10)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2 + (2 + sqrt(684))*4)*6)**2*-5.\nAnswer: -1978325 - 59040*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 1849 - 1588. Let w = -13362 + 13391. Calculate the remainder when n is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 175850614 - 4?\nAnswer: 175850610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -798*b**4 + 31*b**3 - 11*b - 993?\nAnswer: -9576*b**2 + 186*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -402 - -408. Suppose 653 = -p*r + 665. Solve -r*q + 5 = z - 3, 2*q + 3*z = 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*q - 155564 - 234015 - 570056 = 0. What are the prime factors of q?\nAnswer: 5, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4923282 to the power of 1\/2, to the nearest integer?\nAnswer: 2219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 775, 1556, 2335, 3112, 3887?\nAnswer: 4660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 185823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*m = -13486 + 2706 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 greater than or equal to -62\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104983.\nAnswer: 277, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 19, -7, 0.04, 3, 1\/6?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*y - 35*y + 2413506 = -23*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*c - 534 + 38 = 428 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11394 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 57*z - 56*z + 375, 2*z = x - 372. What is the least common multiple of 54 and x?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/346 or -2\/83?\nAnswer: 9\/346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 3*o**6\/14 + 393*o**5\/35 + 4203*o**4\/28 - 787*o**3\/7 - 4752*o**2\/7 + 7260*o\/7 - 8335. Let a(n) = 0. What is n?\nAnswer: -22, -5\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -7\/3, -0.56504, 1?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 507 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwdjkjkdjkdrwwdk. Give prob of sequence jk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31680 less than or equal to 147.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 4. Let b be w(0). What are the prime factors of 23 + (b - 1 - 0)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 223, 214, 213, 220, 235?\n\"Answer: 4*m**2 - 21*m + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(448) - -5*sqrt(63)) + 1.\nAnswer: -33*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 5. Let y = 12157 + -97257\/8. Which is the nearest to w? (a) 2\/11 (b) y (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 17*g**2. Let n(x) = x**2 + 43. Let y(l) = 5*l**2 + 215. Let v(m) = -11*n(m) + 2*y(m). Let p(f) be the first derivative of v(f). Determine p(s(k)).\nAnswer: -34*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84 - -52. Let a = -584293649.9999949 + 584293618. Let i = a - d. Round i to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35167.8 - -35168. Which is the nearest to -36? (a) -3\/7 (b) -4 (c) n (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -1, 2, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*g + 198*g + 76 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kvkkvvvvkmk. What is prob of sequence mvvk?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6068110 and 36.4.\nAnswer: 6068146.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 18663.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 14 = -4*j, 3*s - 2*j = -5*j + 24. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55564728745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b*b**(-1\/2)\/b*b))\/(b\/b**(-11)*b) assuming b is positive.\nAnswer: b**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33027184?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 9240?\nAnswer: 9240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.428341 rounded to two dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1284657 is divided by 55854?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1 + 1 + sqrt(180) + sqrt(180) - sqrt(180) - sqrt(180)) + 1*2*sqrt(180))**2 - -5*(-3 + sqrt(5) + -1 - (1*(sqrt(5) + 1) - sqrt(5))**2).\nAnswer: 53*sqrt(5) + 695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 7*u - 14*u + 11*u**2 + 26*u**2 - 52*u**2.\nAnswer: -15*u**2 - 19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 11 - 14\/33*a**3 + 0*a - 2\/11*a**2. Factor j(m).\nAnswer: -2*m*(7*m + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/3)\/(-5)*(-12)\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 3:26 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26417010 by -5.\nAnswer: 5283402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 204357 + 930.92\nAnswer: 205287.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(80) + 1 - (sqrt(30)*-3)\/sqrt(6))**2 + (2 + sqrt(245) + 0 - sqrt(245))*6)*-4.\nAnswer: -5160 - 280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**5 + g**2 - 11. Let m(b) = 8*b**5 - 3*b**3 + 527*b**2 - 1579*b + 33. Let d(x) = -m(x) - 3*t(x). What is the second derivative of d(f) wrt f?\nAnswer: 20*f**3 + 18*f - 1060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-nine fifths of a centimeter?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 - 2*b. Let l(y) = -y**2 + y. Let a(j) = 6*l(j) + 3*r(j). Let z(q) = 5*q. Determine z(a(x)).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, -2, 4.\nAnswer: -5, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*q - 120 = 0, -5*q - 7 = -2*j + 53. What is the smallest common multiple of j and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12042\/(-22077))\/(6\/(-154))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 632*f - 153181. What is r(-187)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 0*g - 5*g)*(-1 + 2*g - 2 + 1)*(352*g**2 - 3805*g + 3805*g).\nAnswer: -704*g**4 + 704*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14369?\nAnswer: 14369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92 + 96. Suppose 3\/5*v**b - 3\/5*v**3 + 0 + 0*v - 6\/5*v**2 = 0. What is v?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3114.58 and 137196552.\nAnswer: 137193437.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**2 + 1762*i + 10358. Calculate m(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9433652 and 7923.\nAnswer: 2641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*t = 13, 0*b + b - t = 5. What is the smallest value in -4, b, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0878239 rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/188 and 5\/8.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-7.6.\nAnswer: 60.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.78232mm in nanometers?\nAnswer: 16782320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k. Let m(x) = 54*x - 34. Let w(s) = -m(s) + 6*v(s). What is the first derivative of w(g) wrt g?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8459 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -0.2 (b) -13.9 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = 4*k + 17, 5*y + k - 131 = 0. Let t = 30 - y. Let b(w) = -t*w + 4*w - 3*w - 1 + 4*w. What is b(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.377 and -11.\nAnswer: -15.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -16. Let i(v) = -4*v - 5*v + 0 - 3 + 2. Let j be i(k). Solve -5 = -4*c - j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ws when two letters picked without replacement from {o: 1, w: 1, s: 1, d: 1, n: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 4. Suppose -2*g - 6 = -2*t, -g - 5*t = -0*g - 15. Determine i(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-3)\/(-9)*-1). Suppose 0*g + 11*g = 121. Suppose 0 = 2*i - j - g, 27 = q*i + i - 3*j. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -219*o**3 - 2*o**2. Let s(i) = -2847*i**3 - 27*i**2. Calculate 27*p(r) - 2*s(r).\nAnswer: -219*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 25*k**2 - 24*k - 1. Let f be n(24). Let l be 1*f + -18 + 21. Do l and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -808 * -0.276\nAnswer: 223.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8870, -8865, -8858, -8849, -8838?\n\"Answer: g**2 + 2*g - 8873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -77, -176, -315?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 40 (b) 0.2 (c) 698 (d) 2\/15 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 421419?\nAnswer: 2949933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 310490 and 610?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 615*h**2 + 25215*h + 344605.\nAnswer: 5*(h + 41)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**5*l)\/l)\/(l*l**(1\/7)*l)*(l**1)**19 assuming l is positive.\nAnswer: l**(160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 13*m**2 + m + 16. Let z be l(-13). Suppose -z*b + 120 = b. What is the greatest common factor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*i + 43*i**2 - 78*i**2 + 40*i**2 to the form d*i + h + a*i**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (3 + -2 + (-1 - -3)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 159*n + 1113. Let w be r(-7). Let c(k) = -k**3 + 5. Let v be c(0). Put v, -19, w, -5 in ascending order.\nAnswer: -19, -5, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1310010210 (base 4) to base 11\nAnswer: 2a5218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 2:15 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.07 + 0.07. Let u = -13 + m. Let d = 23 + u. What is the nearest to d in 3, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {g: 1, s: 12}?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1626, 2969, 4292, 5595, 6878?\n\"Answer: -10*d**2 + 1373*d + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-1)\/(-1))*19. Let a = v - -23. Suppose 0 = a*l - 3*l - 35. What is the highest common divisor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 321 - 307. Calculate the highest common factor of 46 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 8*b - 11. Let z = 21 + -16. Let d be w(z). Suppose -d*l - 54 = -3*g + 25, 4*l - 47 = -3*g. Solve -m + 0 = -3*q + 13, -m = -5*q + g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-70)\/(-20))\/(3*(-2)\/(-48)). Suppose -18*p - a*p**2 - 4*p**3 - 32 + 6*p - 44*p = 0. Calculate p.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v - 9. Suppose -m - 12 = -3*m. Is 21 a factor of d(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 45467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1938 >= -1909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -12*t**2 - 7*t - 24. Let f(m) = -6*m**2 - 4*m - 11. What is -7*f(q) + 3*o(q)?\nAnswer: 6*q**2 + 7*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -3. Let f(r) = -18*r**4 - 20*r**3 - 4*r**2 - 7*r + 7. Let u(k) = k**4 - k + 1. Let x(y) = q*f(y) + 21*u(y). Factor x(n).\nAnswer: 3*n**2*(5*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**3\/3 - 370*n. Let q(t) = t**2 + 707*t. Calculate u(q(k)).\nAnswer: -2*k**2 - 1414*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -132, 1835, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-81)*18\/12.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + n - 6. Let a(o) be the third derivative of o**5\/60 + o**4\/24 - 5*o**3\/6 - 4*o**2. Let z = 78 - 72. Let p = 11 - z. What is p*a(u) - 4*v(u)?\nAnswer: u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65006 - -31936. Let h = a + 992209\/30. Calculate the common denominator of h and -13\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 139.4 - 22.4. Let d = 66 - u. Let y = -50.9999914 - d. What is y rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92)\/(-20) + -1 + -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7888387*r. Let x(s) = 44*s + 1. Determine u(x(n)).\nAnswer: -347089028*n - 7888387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 120, -1.5, 4\/11, -3\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -734 - -702. Let c(z) = -z + 58. Let d be c(0). Let v = -90 + d. Is h < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635830 - y**2 - 635830.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -7 + 11 + -2. Let s be (8\/14 + 0)\/(-14). Which is smaller: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.404316 and 2303.\nAnswer: 2308.404316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2) - (-45)\/(-6). Let c = d - -11. Let b = -350 - -355. Calculate the least common multiple of b and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11329670?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*f - 6 = 26*f. Let m(c) be the first derivative of 0*c**4 + 3\/5*c**5 + 0*c**f - 1\/3*c**3 + 3 + 0*c. Find the third derivative of m(b) wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*x = -8 + 72, x = 4. What is the highest common divisor of 10 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -112 + 110. Suppose 10 = 3*l - l. What is the third smallest value in 1, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18845816?\nAnswer: 2, 11, 331, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -73259*h - 7912014. Give j(-108).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 37. Let r(u) be the first derivative of 1\/11*u**v + 2\/55*u**5 - 2\/33*u**3 + 1 + 0*u - 1\/22*u**4. What is t in r(t) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36000 divided by -150?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhhhwwhrrwrrhw. Give prob of picking 2 r.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4372 = -286*x + 3636. Let p = 17 - -18. What is the highest common factor of x and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 62*(26\/(-4) + 7). Find the second derivative of -h*v**2 + 4261*v + 3*v**2 + 2 - 4265*v wrt v.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*p**3 - 4023 + 2013 + 2010.\nAnswer: 29*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 17 - 6 = 3*m, 0 = -m + 3*d - 9. What are the prime factors of (-106)\/m + (-5)\/(-15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5752713479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3121033122 - -3?\nAnswer: 3121033131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(1 - 9\/12). What is the closest to 1 in -1\/3, d, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v = -20 + 58 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -13*y + 6. Suppose 4*b - 750 = 2*g, -g = 8*b - 3*b + 382. Let q be (g\/(-58))\/((-1)\/(-14)). Let u(c) = 196*c - 91. Determine q*l(k) + 6*u(k).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = -14, 17*v - 14*v - 2*h - 85 = 0. Solve 0 = -i - 4, -2*p - 21 = -4*i - v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 22 + -13 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*(2 + sqrt(468)\/(sqrt(9)*4*4)).\nAnswer: sqrt(13)\/8 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4076 - -4139. Solve x = 123*c - 144*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -84, -62, -30, 12?\n\"Answer: 5*t**2 + 7*t - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 781901792 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.45*-0.08.\nAnswer: 0.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 8 = 9*d. Let p = 0.1 - 1.1. Which is the third smallest value? (a) -2 (b) p (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 3, -8*m + 4*m + 166 = -2*y. What is the remainder when m is divided by (-174)\/(-8) + (-3)\/(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-9))\/(-1)*-54. Let i = t + -21. What is the tens digit of (10\/i)\/((-3)\/(-99))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69*((-54)\/(-4)*(2988\/108 - 27) + -8).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 375\/(-5)*12\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1875, 3688, 5501?\n\"Answer: 1813*y + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**2 - 5*x**2 - 2*x**3 + (2*x - 2*x - 2*x**2)*(-3 + 3 + x) + 36*x**3 + 38*x**3 - 387*x**3.\nAnswer: -317*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0.8. Let m(i) = -i**3 + 16*i**2 - i + 20. Let j be m(16). Let n be -2 + (j\/8)\/(2\/(-4)). Which is the nearest to u? (a) 1\/8 (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 487619366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*c = -2277*c + 139954 for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.3 + 0.3. Let w = l - -3. Let k be 2\/8*(-4)\/(-4). Which is smaller: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2622*t - 12113*t + 894*t.\nAnswer: -13841*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 14. Suppose 4*x + 3*b + 13 = y, 5*b = -x - 19 + 3. Let o(v) = 128*v - 64*v - 1 - 63*v. Give o(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-334)\/668*14\/1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -122*y**2. Let n(x) be the second derivative of -x**3\/3 + 76*x. Determine b(n(g)).\nAnswer: -488*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 337 = 2*m, 7*m - 3*m - 639 = -3*c. What is the highest common factor of m and 1846?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98 - 67. Let h = 19 - 6. What is the remainder when r is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*r = 134, -3*p + 3*r + 46 = -50. What is the greatest common divisor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - 5*t**3 - 11*t**3 - 2*t**3 - 4*t**3 - 2*t**3 - 3*t**3 + 3*t**3 - t**3 + (3*t**2 + t**3 - 3*t**2)*(-2 + 4 + 0))*(1 - 1 + 2*t).\nAnswer: -42*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87*w**6*y - 2*w**5*y + 9*w**2*y - w - 5*y wrt w.\nAnswer: 10440*w**3*y - 120*w**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0176071905 to 4 dps.\nAnswer: 0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(196) + -1*sqrt(196))\/sqrt(7))\/(sqrt(20)\/(1*sqrt(5))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide (-9080)\/6*(-630)\/1050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26775450 and 2059650?\nAnswer: 26775450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (5 - 1) - -8 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47901 and 2382.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3, 1\/6, -3.5, -31?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 7. Let w be i(5). Let x be 382\/(-324) - (-2)\/4. Let a = x + 1\/81. What is the closest to -1 in w, 1\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173590 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -29675.\nAnswer: -29670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0338615 to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 7 - 6*s**3)*(-5 + 1 + 2) + s**3 - 1 + 1 + 4*s**3 + 4*s**3 - s**3 to t*s**3 + n*s**2 + g + k*s and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-11)*w*w*w\/((w\/w**7)\/w)*w*w*w*(w**(-1)*w*w*w)**(-19) assuming w is positive.\nAnswer: w**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 69 = -3*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (182\/(-1911))\/((-674)\/(-168) - 4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((0 + sqrt(2))*-6)**2*6.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 3010*o + 3015.\nAnswer: -5*(o - 1)*(o + 603)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-26\/7))**48 assuming u is positive.\nAnswer: u**(-1248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-12 - -8) - -1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**5\/20 + j**4\/3 - 7*j**3\/6 - j**2\/2 - j + 12. What is the least common multiple of 11 and m(-5)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21439290.\nAnswer: 2, 3, 5, 31, 23053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -17257, 2\/3, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*h + 1793 - 30*h + 82*h**2 + 78*h**2 - h**3 - 160*h**2 as x + j*h**3 + s*h**2 + y*h and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 404 in -24, 1\/7, -17?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 236*v + 23 + 196*v - 23 in the form w + p*v and give p.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 356324\/109966923 - 40\/10989. Is y greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96 + 78. Let s be ((-16)\/r)\/(2\/9). Suppose 0*h = 5*h + 3*z - 457, s*z = 3*h - 251. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12573 at most as big as -12590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + 1)*5)**2.\nAnswer: 250*sqrt(3) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.25154 + -3149.45154. What is u rounded to the nearest one hundred?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3690, -6185, -8680?\n\"Answer: -2495*u - 1195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f - 48. Suppose -4*m + 34 = -3*b + b, 99 = -5*b - 4*m. Let i be w(b). Solve 0 = -9*o + 2*o - i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4293*v**2. Let b(u) = -38*u**2 - 193*u**2 + 228*u**2. What is b(k(m))?\nAnswer: -55289547*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3 - 2 = 2*n, 3*n - 2*x + 55 = 0. Let t(h) = -2*h**2 - 23*h - 22. Let v be t(n). Let b = 186 + v. What is the remainder when b is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271075604 equal to 2271075604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 1 - (15 + -19) - -3) + -14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 111, 3 in ascending order.\nAnswer: -1, 3, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 1. Let m(d) = 2*d + 1. Let s(l) = 4*h(l) - 3*m(l). Let b(z) = -z - 12. Let p be b(-12). Let u be 2\/2*(p + 0 + -3). Calculate s(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 485, 972, 1467, 1970, 2481, 3000?\n\"Answer: 4*b**2 + 475*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*c - 1119 = 0, 31*c + 1084 = b + 26*c. Solve -b*h + 15 = -1114*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 11:45 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-150)*1340\/3082\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.27274821.\nAnswer: -1.36374105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5708 + -5702. Let v = 11 - 8. What is the second smallest value in v, -3\/4, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*x + 2 = 0, -3*a + 3*x = 6*x - 6. What is the least common multiple of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/4*1*30444\/(-516)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*x + 10. Let d = -575 + 8617\/15. Is x <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 3*h**2 - 2*h - 4. Let d be i(-3). Let s be 0 + 0\/(d - 3). Let g = 0 - s. Is g at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-21 - 0) - (22 - 29)) + 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (-24 - (-7 - -38))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 24*p**2 + 4*p + 14. Let k(u) = -12*u**2 - 2*u - 6. Calculate 7*k(w) + 3*s(w).\nAnswer: -12*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8164023 (base 9) to base 15.\nAnswer: 5aeb20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 15*l**2\/2 + 1. Let s(o) be the third derivative of -o**5\/30 + 58*o**2. Calculate s(u(k)).\nAnswer: -450*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(11)*-1*-1)*-4)\/((-1*sqrt(450))\/((sqrt(72)*1)\/sqrt(8))).\nAnswer: 4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**2 + 86*y - 332. What is k(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*h**4*z**3 - 2*h**2 + 24*h*z**3 + 5*h wrt h.\nAnswer: -804*h**2*z**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -9*f**5\/5 + 3*f**2\/2 - 8. What is the second derivative of p(g) wrt g?\nAnswer: -108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwmimiiwijiimkkmk. Give prob of picking 2 i.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000671 to 7 dps.\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -6. Let h(t) = 15*t**3 + t**2 - 1. Let q(c) = c**3 + 2*c**2 - 3*c - 5. Let x be q(-2). Let w be h(x). Solve -3*v = 5*j + 6, -j = m*j + w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-6 - -2) + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2554 from -0.46.\nAnswer: -2554.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (766\/(-8809))\/((-2)\/299)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4363314225?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/80762 (b) -6 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1331)*2 + sqrt(99)\/(sqrt(9) - sqrt(9)*5) + (sqrt(1331) + 1 + 5 - sqrt(1331))*1)**2.\nAnswer: 261*sqrt(11) + 83771\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 3)*((-1 - 1 + 4)*(4 + 1 - 4) - 37 - 58 + 24)*(0 - 10 - 4)*(-2 + 2*c + 2) in the form h*c + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1341*c - 335201. Determine d(250).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/8 of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 - 2*z + 2. Let f(l) be the first derivative of -2*l**3 + 2*l**2 - 5*l + 143. Give 2*f(b) + 5*t(b).\nAnswer: 3*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 + 5*g**3 + 15*g**2 - 5*g - 10.\nAnswer: -5*(g - 2)*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/15*425\/130. Let j = -1\/2 + i. What is the smallest value in 2\/15, j, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 690336 or -94\/9?\nAnswer: 690336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yylylyynl. Give prob of sequence ll.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684)*2)**2 + -1 - ((1*sqrt(684) - sqrt(684) - sqrt(684)) + 1))*1.\nAnswer: 6*sqrt(19) + 2734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4873 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -216 + 223. Suppose -n*u + 3165 = 8*u. What are the prime factors of u?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 548520015 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 556001.62 to the nearest one thousand.\nAnswer: 556000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*i - 106*i = 165*i - 484 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50325.\nAnswer: 3, 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (110\/9)\/(-11)*(-2)\/10?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9619233 centimeters in micrometers?\nAnswer: 9619.233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*s**4 + 240*s**3 + 247*s**2 - 9244482*s?\nAnswer: -36*s**2 + 1440*s + 494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -j - 13*m, 4*j - 21 = 13*m - 14*m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-18)*(-9078)\/(-20). Let g = 284\/3 + x. What is the common denominator of 99\/8 and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7554798 is divided by 173.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + x = -3*a - 179, 5*x - 81 = -a. Calculate the remainder when a is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, -1, -65, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82692 or 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 72 + 97 = 2*a, 0 = -a + k + 11. Calculate the remainder when 3881 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 1253433?\nAnswer: 2506866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 16*i + 163. Let d be o(-10). Suppose -a = -2*u - 636, 4*a = 2*a + d*u + 1271. What is a rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, 7, 79, 169, 283, 427, 607, 829?\nAnswer: 1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from hllllhhhhlhhhhhlhlh.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -12*g**2 - 2*g + 0*g**3 + 4*g + 9*g + 1 + g**3. Let m be z(11). Solve m + 3 = -2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4127970 to the nearest 100000.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8232401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7741*m - 95. What are the prime factors of i(2)?\nAnswer: 3, 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-4) - 198\/88. Let o = 6 - 11. Which is the second biggest value? (a) m (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3*h - 5*h)*(6*h**2 + 4*h**2 - h**2 + (2 + 0 + 0)*(2*h**2 - 4*h**2 + 0*h**2) + 2*h**2 - 4*h**2 + 3*h**2).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (6080\/(-288) - -20) + (-100)\/(-36)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mnnmnnmnmmnnn.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -1. Suppose n*h = -61 - 27. What are the prime factors of (6 + 0)\/((-4)\/h)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**3\/3 - 3*x**2 + 4*x + 3. Determine g(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**3*x**2 + 10*o**3 - 3*o**2 + 7*o*x - o + 21*x**2 wrt o.\nAnswer: 12*o*x**2 + 60*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -5.9. Which is the third biggest value? (a) -1.8 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -897622772998444 and 5.\nAnswer: -897622772998439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140344 (base 7) to base 9.\nAnswer: -40424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 5*w**2 + 13*w - 15. Let z be f(-7). Let a be ((32\/36)\/2)\/(z\/(-36)). Solve -5*u = -a*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 2 (c) -60\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}